Basic Math Questions and Answers

Write an algebraic equation and use it to solve the problem.
Five-sevenths of a number is -20. What is the number?
The equation is.
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Write an algebraic equation and use it to solve the problem. Five-sevenths of a number is -20. What is the number? The equation is.
If a linear combination is the method used to solve the system of equations, what is the result of the first step?
x + y = 6
x - y = 2
A. 2y = 8
B. 2x = 8
C. x + y = 8
D. x - y = 8
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If a linear combination is the method used to solve the system of equations, what is the result of the first step? x + y = 6 x - y = 2 A. 2y = 8 B. 2x = 8 C. x + y = 8 D. x - y = 8
Fern bought groceries that cost $14.38. She paid the store clerk, Ping, with a $20 bill.
2 pennies makes the total $14.40.
6 dimes makes it $15.00, and
6 dollars makes it $20.
Did the clerk make a mistake in giving Fern her change?
You may use the scratchpad to show your work.
A No, she received $6.62 in change.
B Yes, Ping should give Fern 6 pennies and 2 dimes.
C Yes, Ping should give Fern 3 dimes and 8 pennies.
D Yes, Ping should give five one-dollar bills, not six.
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Fern bought groceries that cost $14.38. She paid the store clerk, Ping, with a $20 bill. 2 pennies makes the total $14.40. 6 dimes makes it $15.00, and 6 dollars makes it $20. Did the clerk make a mistake in giving Fern her change? You may use the scratchpad to show your work. A No, she received $6.62 in change. B Yes, Ping should give Fern 6 pennies and 2 dimes. C Yes, Ping should give Fern 3 dimes and 8 pennies. D Yes, Ping should give five one-dollar bills, not six.
A shirt priced at x dollars is discounted before tax is added. The final
price in dollars is described by the expression below.
1.05(x -0.6x)
What is the sales tax for the shirt?
0.05(0.4x)
1.05 (0.6x)
1.05 (0.4x)
0.05(0.6x)
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A shirt priced at x dollars is discounted before tax is added. The final price in dollars is described by the expression below. 1.05(x -0.6x) What is the sales tax for the shirt? 0.05(0.4x) 1.05 (0.6x) 1.05 (0.4x) 0.05(0.6x)
Given y = 4x + 21-3 if a is multiplied by 3 what happens to the vertex?
a. The vertex remains the same.
b. The vertex shift to the right 3 units.
c. The vertex shifts to the left 3 units.
d. The vertex shifts down 3 units.
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Given y = 4x + 21-3 if a is multiplied by 3 what happens to the vertex? a. The vertex remains the same. b. The vertex shift to the right 3 units. c. The vertex shifts to the left 3 units. d. The vertex shifts down 3 units.
The price of a dress is reduced by 60%. When the dress still does not sell, it is reduced by 60% of the reduced price. If the price of the dress after both reductions is $80, what was the original price?
The original price of the dress was $
(Type an integer or a decimal.)
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The price of a dress is reduced by 60%. When the dress still does not sell, it is reduced by 60% of the reduced price. If the price of the dress after both reductions is $80, what was the original price? The original price of the dress was $ (Type an integer or a decimal.)
agrees to pay a student 6¢ for every problem in this chapter that the student solves correctly, and fines the student 5¢ for every problem done incorrectly. If at the end of 33 problems they do not owe each other any money, how many problems did the student solve correctly?
problems correctly.
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agrees to pay a student 6¢ for every problem in this chapter that the student solves correctly, and fines the student 5¢ for every problem done incorrectly. If at the end of 33 problems they do not owe each other any money, how many problems did the student solve correctly? problems correctly.
In a circle with radius 8.8, an angle intercepts an arc of length 32.9. Find the angle in
radians to the nearest 10th.
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In a circle with radius 8.8, an angle intercepts an arc of length 32.9. Find the angle in radians to the nearest 10th.
- The coordinates of quadrilateral JKLM plotted on a coordinate plane are J(-2,3), K(3, 7), L(6,5)
and M(1, 1).
Enter a number in the box to complete the sentence.
The perimeter of the quadrilateral is ||
the nearest tenth.
units. Round your answer to
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- The coordinates of quadrilateral JKLM plotted on a coordinate plane are J(-2,3), K(3, 7), L(6,5) and M(1, 1). Enter a number in the box to complete the sentence. The perimeter of the quadrilateral is || the nearest tenth. units. Round your answer to
Convert the following angle from degrees to radians. Express your answer in simplest
form.
405°
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Convert the following angle from degrees to radians. Express your answer in simplest form. 405°
Elijah is building a deck. He has enough wood to build a 35 ft2 deck. Elijah wants
the deck to be 2 ft longer than it is wide. He sets up the following equations to
help him determine the dimensions of the deck.
x(x+2) = 35
x²+2x-35 = 0
where x is the width of the deck in feet.
How wide should Elijah make his deck? To solve for x, first factor the
left side of the equation. Note: The width of the deck must be positive.
Ignore negative values for x.
x = 7 feet
x = 3 feet
x = 5 feet
x = 6 feet
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Elijah is building a deck. He has enough wood to build a 35 ft2 deck. Elijah wants the deck to be 2 ft longer than it is wide. He sets up the following equations to help him determine the dimensions of the deck. x(x+2) = 35 x²+2x-35 = 0 where x is the width of the deck in feet. How wide should Elijah make his deck? To solve for x, first factor the left side of the equation. Note: The width of the deck must be positive. Ignore negative values for x. x = 7 feet x = 3 feet x = 5 feet x = 6 feet
Estimate the sum. Choose the mixed number that is closest to the estimate.
5.5 +4.2
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Estimate the sum. Choose the mixed number that is closest to the estimate. 5.5 +4.2
In a circle with radius 0.8, an angle measuring 6.3 radians intercepts an arc. Find the
length of the arc to the nearest 10th.
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In a circle with radius 0.8, an angle measuring 6.3 radians intercepts an arc. Find the length of the arc to the nearest 10th.
Find the circumference of a circle with radius= 30 mm.
A. about 47.12 mm
B. about 282.74 mm
C. about 188.4 mm
D. about 109.67 mm
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Find the circumference of a circle with radius= 30 mm. A. about 47.12 mm B. about 282.74 mm C. about 188.4 mm D. about 109.67 mm
Which equation has the same solution as x² + 16x - 11 = 4?
(x-8)²=-49
(x+8)² = 79
(x+8)² = -49
(x-8)² = 79
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Which equation has the same solution as x² + 16x - 11 = 4? (x-8)²=-49 (x+8)² = 79 (x+8)² = -49 (x-8)² = 79
Which of the following can be used to check that (x-4) and (x+7)
are factors of the polynomial below?
x² + 3x-28

x(x+7)-4
x.x+7x-4x -4.7
x+(x+7) 4+ (x+7)
x.x-4-7
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Which of the following can be used to check that (x-4) and (x+7) are factors of the polynomial below? x² + 3x-28 x(x+7)-4 x.x+7x-4x -4.7 x+(x+7) 4+ (x+7) x.x-4-7
The governor of state A earns $52,765 more than the governor of state B. If the total of their salaries is $297,595, find the salaries of each.
The governor of state A earns $ and the governor of state B earns $
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The governor of state A earns $52,765 more than the governor of state B. If the total of their salaries is $297,595, find the salaries of each. The governor of state A earns $ and the governor of state B earns $
In a circle with radius 9, an angle intercepts an arc of length 9π/2. Find the angle in radians in simplest form.
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In a circle with radius 9, an angle intercepts an arc of length 9π/2. Find the angle in radians in simplest form.
In 2016, there were approximately 4. 46 x 10⁹ people in Asia. On average, a person takes 8.4 x 106 breaths per year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer i scientific notation in the form a x 10, what are the values of a and b? 
What is the value of a? 
What is the value of b?
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In 2016, there were approximately 4. 46 x 10⁹ people in Asia. On average, a person takes 8.4 x 106 breaths per year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer i scientific notation in the form a x 10, what are the values of a and b? What is the value of a? What is the value of b?
Find the critical value(s) for a left-tailed z-test with α = 0.08. Include a graph with your answer.
The critical value(s) is(are) 
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
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Find the critical value(s) for a left-tailed z-test with α = 0.08. Include a graph with your answer. The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.)
A new car is purchased for 23700 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 10 years?
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A new car is purchased for 23700 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 10 years?
An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration. On the day of the celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms.
Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning?
A Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box. Randomly select
the winning customer's form out of the box.
B. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the
box. Randomly select the winning customer's form out of the box.
C. Sort the forms alphabetically by last name. Then, place the first 100 forms into the box. Randomly select the winning
customer's form out of the box.
D. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box.
Randomly select the winning customer's form out of the box.
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An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration. On the day of the celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms. Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning? A Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box. Randomly select the winning customer's form out of the box. B. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box. Randomly select the winning customer's form out of the box. C. Sort the forms alphabetically by last name. Then, place the first 100 forms into the box. Randomly select the winning customer's form out of the box. D. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box. Randomly select the winning customer's form out of the box.
For the given principal, interest rate, and time period, determine the amount of interest that would be earned in an account paying simple interest. Also determine the amount of interest that would be earned in an account paying compound interest with interest compounded monthly. Determine how much more interest would be earned in the account paying compound interest. Round to the nearest cent.
Principal: $6720
Rate: 4.25%
Years: 9 1/2
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For the given principal, interest rate, and time period, determine the amount of interest that would be earned in an account paying simple interest. Also determine the amount of interest that would be earned in an account paying compound interest with interest compounded monthly. Determine how much more interest would be earned in the account paying compound interest. Round to the nearest cent. Principal: $6720 Rate: 4.25% Years: 9 1/2
Which of the following events are most likely independent of each other

Your homework average in Geometry and your grade on this test
Your grade on this test and your grade on another teacher's test
The number of hours of sleep you had last night and your grade on this test
Your grade on this test and the number of hours you spent studying for it
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Which of the following events are most likely independent of each other Your homework average in Geometry and your grade on this test Your grade on this test and your grade on another teacher's test The number of hours of sleep you had last night and your grade on this test Your grade on this test and the number of hours you spent studying for it
A lumber mill is preparing pieces of wood that meet these
requirements.
A finished piece of wood is shaped like a rectangular prism.
The width of each piece of wood will vary (w).
• The height of each piece of wood must be twice the width (2w).
. The length of each piece of wood must be 10 inches more than 30 times the width (30w + 10).
Which expression represents the volume in terms of the width, in cubic
inches, of each piece of finished wood?
Use V= /hw
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A lumber mill is preparing pieces of wood that meet these requirements. A finished piece of wood is shaped like a rectangular prism. The width of each piece of wood will vary (w). • The height of each piece of wood must be twice the width (2w). . The length of each piece of wood must be 10 inches more than 30 times the width (30w + 10). Which expression represents the volume in terms of the width, in cubic inches, of each piece of finished wood? Use V= /hw
Mildred sold magazine subscriptions with three prices: $27, $13, and $18. She sold 8 fewer of the $27 subscriptions than of the $13 subscriptions and sold a total of 32 subscriptions. If her total sales amounted to $556, how many $18 subscriptions did Mildred sell?
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Mildred sold magazine subscriptions with three prices: $27, $13, and $18. She sold 8 fewer of the $27 subscriptions than of the $13 subscriptions and sold a total of 32 subscriptions. If her total sales amounted to $556, how many $18 subscriptions did Mildred sell?
In a circle with radius 10, an angle intercepts an arc of length 5π/3. Find the angle in radians in simplest form.
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In a circle with radius 10, an angle intercepts an arc of length 5π/3. Find the angle in radians in simplest form.
A road map has a scale where 16 miles of actual distance is represented by 1 inch on the map.
Two cities are 9.5 inches apart on the map. How far is the actual distance between the two
city centers?
104 miles
136 miles
120 miles
152 miles
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A road map has a scale where 16 miles of actual distance is represented by 1 inch on the map. Two cities are 9.5 inches apart on the map. How far is the actual distance between the two city centers? 104 miles 136 miles 120 miles 152 miles
Use the FOIL method to find the terms of the following multiplication problem.
(4+6i)-(4-6i)
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Use the FOIL method to find the terms of the following multiplication problem. (4+6i)-(4-6i)
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt. He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
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A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt. He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
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A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
According to statistics, a person will devote 36 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 20. Over the lifetime, how many years will the person spend on each of these activities?
years watching TV and years sleeping.
The person will spend
(Type whole numbers.)
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According to statistics, a person will devote 36 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 20. Over the lifetime, how many years will the person spend on each of these activities? years watching TV and years sleeping. The person will spend (Type whole numbers.)
A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
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A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
In some country the budget for defense exceeded the budget for education by $621.9 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense be represented?
If x represents the budget for education, in billions of dollars, the budget for defense can be represented by.
(Use integers or decimals for any numbers in the expression.)
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In some country the budget for defense exceeded the budget for education by $621.9 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense be represented? If x represents the budget for education, in billions of dollars, the budget for defense can be represented by. (Use integers or decimals for any numbers in the expression.)
Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ thousand and the average yearly salary for an individual whose final degree is a master's is $thousand.
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Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ thousand and the average yearly salary for an individual whose final degree is a master's is $thousand.
A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Enter your answer in the space provided. Round your answer to the nearest whole cubic inch.
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A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Enter your answer in the space provided. Round your answer to the nearest whole cubic inch.
Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie. Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free. Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at Service A or Service B? 
A. 6
B. 0
C. 1
D. 7
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Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie. Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free. Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at Service A or Service B? A. 6 B. 0 C. 1 D. 7
Kelly is learning about rational and irrational numbers. What conclusion can she draw about the number.
0.01011011101111011111...?
It is irrational because it repeats
It is rational because it repeats
It is rational because it terminates
It is irrational because it neither repeats nor terminates.
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Kelly is learning about rational and irrational numbers. What conclusion can she draw about the number. 0.01011011101111011111...? It is irrational because it repeats It is rational because it repeats It is rational because it terminates It is irrational because it neither repeats nor terminates.
Right now, Mrs. Sarro's age is 2 years more than 5 times her daughter's age. Two years ago, she was seven times as old as her daughter was then.
If s represents Mrs. Sarro's age now and drepresents her daughter's age now, write a system of equations that could be used to model this scenario.
Use this system of equations to determine, algebraically, the ages of both Mrs. Sarro and her daughter now.
Determine how many years from now Mrs. Sarro will be three times as old as her daughter will be then.
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Right now, Mrs. Sarro's age is 2 years more than 5 times her daughter's age. Two years ago, she was seven times as old as her daughter was then. If s represents Mrs. Sarro's age now and drepresents her daughter's age now, write a system of equations that could be used to model this scenario. Use this system of equations to determine, algebraically, the ages of both Mrs. Sarro and her daughter now. Determine how many years from now Mrs. Sarro will be three times as old as her daughter will be then.
Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a
haircut for a woman is $44.
Which statement is true about the cost of haircuts?
On average, the cost of a man's haircut is $16 less than the cost of a woman's haircut
Hal of all men pay less than $28 for a haircut
Half of all women pay more than $44 for a haircut
All men's haircuts cost less than women's haircuts
All women's haircuts cost $16 more than men's haircuts
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Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Which statement is true about the cost of haircuts? On average, the cost of a man's haircut is $16 less than the cost of a woman's haircut Hal of all men pay less than $28 for a haircut Half of all women pay more than $44 for a haircut All men's haircuts cost less than women's haircuts All women's haircuts cost $16 more than men's haircuts
A particular adjustable rate mortgage (ARM) will maintain its initial interest rate for eight years, and each year afterward it will be adjusted. Which of these symbolically expresses that loan arrangement?
1/8
8/1
1/1
8/8
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A particular adjustable rate mortgage (ARM) will maintain its initial interest rate for eight years, and each year afterward it will be adjusted. Which of these symbolically expresses that loan arrangement? 1/8 8/1 1/1 8/8
Solve and check the following linear equation.
21-13+9y-3(y+3)]=-2(2y-7)-[(y-1)-2y+11]
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is
B. The solution set is (x1x is a real number).
C. The solution set is Ø.
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Solve and check the following linear equation. 21-13+9y-3(y+3)]=-2(2y-7)-[(y-1)-2y+11] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is (x1x is a real number). C. The solution set is Ø.
Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as the speed at which he rides. Which equation best models the amount of time it takes him to finish with his cycling, t, if he rides at a speed of m miles per hour?
A. t = 18 + m
B. t=m/18
C. t = 18m
D. t = 18/m
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Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as the speed at which he rides. Which equation best models the amount of time it takes him to finish with his cycling, t, if he rides at a speed of m miles per hour? A. t = 18 + m B. t=m/18 C. t = 18m D. t = 18/m
Find the mean, median, and mode of the data.
7, 7, 8, 9, 5, 2, 9, 10, 7, 6
A 7,7, none
B. 7,7.5, none
C. 7.7,7.5,9
D. 7,7,7
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Find the mean, median, and mode of the data. 7, 7, 8, 9, 5, 2, 9, 10, 7, 6 A 7,7, none B. 7,7.5, none C. 7.7,7.5,9 D. 7,7,7
Your younger brother has challenged you to a swimming race to see who can swim to the opposite side of the pool first. You know that your brother swims more slowly than you, so to make things more even you choose to swim along a path at a 40 degree angle from the path that would go directly across the pool. The pool is 60 feet wide. Draw a diagram and label all values mentioned to illustrate the problem.
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Your younger brother has challenged you to a swimming race to see who can swim to the opposite side of the pool first. You know that your brother swims more slowly than you, so to make things more even you choose to swim along a path at a 40 degree angle from the path that would go directly across the pool. The pool is 60 feet wide. Draw a diagram and label all values mentioned to illustrate the problem.
Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form.
Slope 2/9, y-intercept(0/1/3)
Choose the correct equation below.
A. 9x+2y=3
B. 9x-2y=3
C. 2x+9y=-3
D. 2x-9y=-3
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Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form. Slope 2/9, y-intercept(0/1/3) Choose the correct equation below. A. 9x+2y=3 B. 9x-2y=3 C. 2x+9y=-3 D. 2x-9y=-3
A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters?
Answer: V =meters³
Submit Answer
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A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters? Answer: V =meters³ Submit Answer
Adriana is taking out a loan to buy a car. The APR is 6.5% for a three year loan. The car
salesman offered a cash-back incentive of $5500 off an original price of $33,000. What is the
monthly amount that Anthony will have to pay?
$764.65
$1011.42
$842.85
$917.59
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Adriana is taking out a loan to buy a car. The APR is 6.5% for a three year loan. The car salesman offered a cash-back incentive of $5500 off an original price of $33,000. What is the monthly amount that Anthony will have to pay? $764.65 $1011.42 $842.85 $917.59
Biologist have found that the number of chirps some crickets make per minute is related to the temperture. The rekationship is very close to being linear, At 68 gegrees the cricket chirps 124 times, and at 80 degrees the cricket chirps 172.
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Biologist have found that the number of chirps some crickets make per minute is related to the temperture. The rekationship is very close to being linear, At 68 gegrees the cricket chirps 124 times, and at 80 degrees the cricket chirps 172.
In a circle, an angle measuring 4.9 radians intercepts an arc of length 3.4. Find the radius of the circle to the nearest 10th.
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In a circle, an angle measuring 4.9 radians intercepts an arc of length 3.4. Find the radius of the circle to the nearest 10th.