Basic Math Questions and Answers

Which of the following is not a law of exponents? When dividing like bases subtract the exponents 1 to any power is 1 Anything to the 0th power is 1, except 0 When adding like bases multiply the exponents.

Bradley High School was the winner in Saturday's track meet with the help of 20 individual-event placers earning a combined 68 points. A first place finish earns 5 points, a second place finish earns 3 points, and a third place finish earns 1 point. Bradley had a strong second-place showing, with as many second place finishers as first- and third- place finishers combined. If x = # of first-place finishers, y = # second-place finishers, and z = # of third-place finishers which of the following systems represents this scenario? Ox+y+z= 68 5x + 3y +z = 68 Z = x + y Ox+y+z= 20 5x + 3y + z = 68 y=x+z Ox+y+z=20 5x + 3y + z = 68 x = y + z

Write the equation of the line with slope 5 and y-intercept 1/2 The equation of the line is

A Hamilton multitouch watch was originally priced at $475. At a closing of the Alpha Omega Jewelry Shop, the watch is being reduced by What is the new selling price?

Critique Reasoning A cube-shaped box has a volume of 27 cubic inches. Bethany says each side of the cube measures 9 inches because 9 x 3=27. Is Bethany correct? Explain your reasoning. MP.3

Lacoste Middle School surveyed its student population about their favorite mobile apps. The 786 students who listed Facebook as their favorite app represented 32 fewer students than two times the number of students who listed Instagram as their favorite app. How many students listed Instagram as their favorite app? students

5 A triangle has sides 46 yards, 8 yards, and 38 yards. What is the perimeter (distance around the edges) of the triangle in yards? Express your answer in mixed number form, and reduce if possible.

Which of the following functions has a restricted domain? f(x) = 3x² - 2x + 1 f(x) = 3√2-1 f(x) = -32-3+1 f(x) = ln(x - 3)

Keiko, Jose, and Michael have a total of $97 in their wallets. Keiko has $7 more than Michael. Jose has 4 times what Michael has. How much does each have? Amount in Keiko's wallet: Amount in Jose's wallet: Amount in Michael's wallet: $ $

Lara rents a car while spending her vacation traveling in Chile. When she returns the car, she has driven 850 miles and used about 34 gallons of gas. If gas costs an average of $5.889 per gallon, estimate how much she spent on fuel.

Solve the following using substitution. If one solution, type that point in for both points. If no solution, type in "NS": y = 3x² - 4x -1 x + y = 5 Solution 1: x = Solution 2: x =

Jina received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.63 per pound. After buying the coffee, she had $28.22 left on her card. How many pounds of coffee did she buy?

Tempco Corporation has a machine that produces 11 baseball gloves each hour. In the last 2 days, the machine has run for a total of 30 hours. How many baseball gloves has Tempco produced? Number of baseball gloves

Translate the following sentence into a mathematical equation. Be sure to identify the meaning of all symbols. The area of a rectangle equals length times width. Let A represent area of a rectangle, L represent length, and W represent width. The mathematical equation is

Kaina has two jobs at two different pharmacies. At Walgreen's, she earns $13 dollars per hour. At CVS, she earns $14 dollars per hour. She needs $300.00 to pay her weekly bills. a. Create an inequality to describe the number of hours she could work at each pharmacy to earn this amount. b. If she works 5 hours at Walgreen's next week, how many hours does she needs to work at CVS to be able to pay her bills?

Which formula defines the sequence f(1) = 2, f(2)= 6, f(3) = 10, f(4) = 14, f(5) = 18? O f(1) = 2, f(n) = 4+ f(n-1) for n ≥ 2 O f(1) = 2, f(n) = 6 + f(n-1) for n ≥ 2 O f(1) = 6. f(n) = 4+ f(n-1) for n ≥ 2 O f(1) = 2, f(n) = 2 + f(n-1) for n 2 thy

On the walk home from school, Meg stopped at the library for 22 minutes and at her grandmother's house for 38 minutes. She spent 17 minutes walking. She left at 3:00 and was supposed to be home by 4:00. a. Did Meg make it home on time? 7:00 How did you get your answer?

The length of a rectangle is 5 yd more than twice the width x. The area is 738 yd². (a) Write an equation in terms of x that represents the given relationship. The equation is 738 = 7 Correct Answer: The equation is x (2x+5)=738. Part: 1/3 Part 2 of 3 (b) Solve the equation to find the dimensions of the given shape.

final answer(s). The Toyota Camry and the Honda Civic were the top-selling passenger cars in the United States in 2016. Honda Civic sales were 22 thousand less than Toyota Camry sales, and 756 thousand of these two cars were sold. How many of each model of car were sold? Dapublicans. There

Find the equation that represents the volume of a large shipping container in the shape of a rectangular prism with length x, width that is 2 meters more than the length, and height that is one third of the length. V=2(2-2)(3x) V=2(2-4) (=) V=1(1+2) (3z) V=2(2+2) (²)

A translation takes the point (2, -5) and moves it to (-3, -1). If the image of another point under the same translation is (1,14), what are the coordinates of it- pre-image? Explain your process (that means to write in sentences!)

PROBLEM SOLVING You travel on the highway at a constant speed of 70 miles per hour for 1 hour 45 minutes. Your vehicl travets miles per gallon and gasoline costs $2.90 per gallon. How much do you spend on fuel for the trip? You spend $ on fuel for the trip.

Miyoko was putting her wrenches away and discovered that one was missing. Her missing wrench is near the center of her 1/16-inch set. She had the following wrenches: 1/4, 7/16, 3/8, 3/16, and 1/8. Which wrench was missing? Record your answer as a simplified fraction.

The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel beam in the shape of a rectangular prism that measures 12 meters long, 1/5 of a meter wide, and 1/3 meter deep. What is the weight of the steel beam? O 6,440 kilograms O 8,050 kilograms O 3,220 kilograms O 1,610 kilograms

Tiffani Lind got her new weekly course schedule from Roxbury Community College in Boston. Following are her classes and their length: Business Math, 6 hours; Introduction to Business, 3 hours; Microeconomics, 3 hours; Spanish, 24 hours: Marketing, 2 hours; and Business Statistics, 14 hours. How long will she be in class each week? Number of hours

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. If x represents the number of children that came to the fair and y represents the number of adults that came to the fair which of the following systems of equations model this scenario. O 1.50x + 2200y = 5050 2200x + 4.00y = 5050 Ox+y= 2200 1.5x + 4.00y = Ox+y= 2200 = 5050 4.00x +1.50y = 5050 1.50x + 4.00y = 2200 2200x+2200y = 5050

Lacey and Haley are rewriting expressions in an equivalent, simpler form. a. b. Haley simplified x³ x² and got x5. Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know? Haley simplifies 35.45 and gets the result 1210, but Lacey is not sure. Is Haley correct? Be sure to justify your answer.

Identify the end behavior of the polynomial function. y = -x5-x³ + 4x + 6 O Asz-∞, f(x)→-∞o; As a → ∞, f(z) →-00 O As x-x, f(x) → -∞; As xx, f(z) → ∞ Asa-∞, f(x) → ∞; Asz →x, f(x) - - As a →-∞, f(x) →∞; Aszx, f(x) →∞ O -X

Molly's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 6 adult tickets and 8 student tickets for a total of $60. The school took in $48 on the second day by selling 7 adult tickets and 2 student tickets. Find the price of an adult ticket and the price of a student ticket.

The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 12 buses with 744 students. High School B rented and filled 5 vans and 6 buses with 381 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

Sam started saving money for a down payment on a car. He first put $460 in his savings envelope and then added $60 every week. Choose the answer that BEST describes: the amount of time Sam has been saving money. a constant - units: weeks a constant- a variable - a variable - units: dollars per week - a rate units: dollars per week - a rate units: weeks

Round to the nearest hundredth, if necessary. Complete the statement: 160 fl oz = qt

A washer and a dryer cost $600 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?

Approximate the number using a calculator. 1.9 e 1.9 (Round to three decimal places.)

Determine the number of solutions; -28 = -7(3x +4) + 21x No Solution One Solution Infinite Solutions

Reuben rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 86 cents for each mile driven. Reuben had to pay $191.23 when he returned the truck. For how many miles did he drive the truck? miles X 5 ?

Shawn has been hired as a sales associate Horizon Mobile Phone Company. He has two salary options. He can either receive a fixed salary of $750 per week or a salary of $400 per week plus an 8% commission of his weekly sales. Write a solution represents the dollar amount of sales that he must generate each week in order for the option with commission to be the better choice? x>$

#13 the nearest hundredth, if necessary. Complete the statement. Round 30.9 mm in

Convert 67°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree.

Translate the sentence into a mathematical equation. The total variable cost of manufacturing x refrigerators is $180 per refrigerator times the number of refrigerators manufactured. Let C, represent the variable cost and x the number of refrigerators manufactured. C₁=0

#12. Round to the nearest hundredth, if necessary. Complete the statement. 4.1 kg OZ

A rectangle has sides that measure 2a + 12 units long and 82 + 6 units long. What are the expressions that represent the perimeter and area of the rectangle?

Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) to three decimal places using a graphing utility and compare the results. f(x) = x³ = cos x

Choose all true statements. All real numbers are rational numbers. Some rational numbers are natural numbers. No real numbers are irrational numbers. All whole numbers are integers. Some integers are natural numbers. No rational numbers are integers.

One kilometer is the same distance as 0.621 miles. Conversion factors show the relationship between two quantities and can be used to calculate one quantity if the other is known. If you wanted to determine the distance in miles, given a specific amount of km, what conversion factor should be used? Include a number and a unit in both the numerator and the denominator

What angle, in degrees, is equal to 5/12 of one revolution? SHOW WORK.

homewort Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9. a. If Josie missed 8 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer. 2:18 C. GA colo 2 b. If Josie missed 20 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer. 2:9 C What ratios can we say are equivalent to 2:9?

A total of 519 tickets were sold for the school play. They were either adult tickets or student tickets. There were 69 more student tickets sold than adult tickets. How many adult tickets were sold?

Maria got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 8 cents per yard. If after that purchase there was $28 left on the card, how many yards of ribbon did Maria buy?

What is the first step to solving the equation |2x+1| -5=7? Divide by 2 on both sides. Add 5 to both sides. Split the equation into two separate equations. Subtract 7 from both sides. Subtract 1 from both sides.