Basic Math Questions and Answers

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.

Yesterday, Ivan went on a bike ride. His average speed was 9 miles per hour. Today, he went on another ride, this time averaging 12 miles per ho days, he biked for a combined total time of 11 hours. Let x be the number of hours he biked yesterday. Write an expression for the combined total number of miles he biked in the two days.

An electric board determines its monthly bills for residential customers by charging a base price of $14.00 plus an energy charge of 10.34 cents for each kilowatt-hour (kWh) used. Write an equation for the monthly charge y (in dollars) as a function of x, the number of kWh used.

Solve for v. v²-8v+16=0 If there more than one solution, separate them with commas. If there is no solution, click on "No solution."

Rick's lumberyard has 460 yd of fencing with which to enclose a rectangular area. If the enclosed area is x yards long, express its area as a function of its length.

A DVD-rental company has 10,500,000 subscribers, an increase of 140% from five years ago. Find the number of subscribers five years ago.

Water drips from a faucet at a rate of 41 drops/minute., Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1-gallon bucket? Round your answer to the nearest whole number.

Let f(x) = 9x³ - 12x² - 31 and let g(x) = 3x - 1. Find f(x)/g(x) 3x²-3x - 1 3x³ + x² + 2x + 22 3x²-3x-1-33²1 3x²-3x - 3²1

Consider the polynomial function: P(x) = 2x³ - 11x² + ax - 40 If x+4 is a factor of this polynomial, what is the value of a? a=40 a-4 a=86 a=76

1/Factor the following equation: y = x² - 4. Identify the x- intercepts, the y - intercept, and domain and range x- intercepts /y-intercept/domain / range / increasing/decreasing intervals. y = x² - 4.

A bank loaned out $18,000, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in one year totaled $2000, how much was loaned at 6% How much of the $18,000 did the bank loan out at 6%?

On a map, the endpoints of a straight fence are located at A(4,12) and B(8,22). Lisa plans to install a gate in the fence and wants the gate's hinges to be the same distance from both ends of the fence. At what point on the map will the gate hinges be placed? A (0,2) B. (2,5) C. (6,17) D. (12,34)

A manufacturing company that produces prerecorded DVDs finds that the total daily revenue R for selling z items at p dollars per item is given by R(x) = 10.5x 0.05x² Factor a from each term on the right side of the equation to find the formula that gives the price p in terms of x. Then, use it to find the price they should charge if they want to sell 100 DVDs per day.

Determine whether y is a function of x. x² + y² = 4 Yes, y is a function of x. No, y is not a function of x. It cannot be determined whether y is a function of x.