Basic Math Questions and Answers

Six boxes of paper were delivered to Chandra. This is 30% of her total paper order. How many boxes of paper did she order?

The school store sells binders for $5 and notebooks for $4. The store needs to sell $80 worth of these two items combined each week. Write a linear equation in standard form that describes the linear relationship. Let x represen the number of binders sold and let y represent the number of notebooks sold.

Which problem would result in this quotient? 4,800 ÷ 10² 400,800 103 400,800 ÷ 10² 408,000 + 103

Brent Pickett borrowed $5000 from his brother Dave. He agreed to repay the money at the end of 3 years, giving Dave the same amount of interest that he would have received if the money had been invested at 3.75% compounded quarterly. How much money did Brent repay his brother?

Divide using synthetic division. State what the remainder means. You must use synthetic division as shown in class for full credit. SHOW ALL STEPS FOR FULL CREDIT! (3x4 - 3x² + 2x - 8) ÷ (x-2)

In the diagram below, NO is parallel to KL. OL = 1.8, MN = 2.7, and MO= 2.2. Find the length of NK. Round your answer to the nearest tenth if necessary.

If two sides of a triangle have lengths of 8 in and 12 in, what are the possible lengths for the third side? 8<x<12 6<x<14 none 4<x<20 -4<x<10

A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 29 ft, approximate the volume of the tank in cubic feet.

Mr. Rivas bought a can of paint. He used of it to paint a bookshelf. He used 3/8 of it to paint a bookshelf. He used 1/4 of it to paint a wagon. He used some of it to paint a birdhouse and has 1/8 of the paint left. How much paint did he use for the birdhouse?

Suppose that you are thinking about buying a car and have narrowed down your choices to two options. The new-car option: The new car costs $29,000 and can be financed with a four-year loan at 5.73%. The used-car option: A three-year old model of the same car costs $14,000 and can be financed with a four-year loan at 7.26%.

The balance on Ramon Felipe's credit card on January 14, his billing date, was $269.71. For the period ending February 14, Ramon had the following transactions to the right. a) Find the average daily balance for the billing period. b) Find the finance charge to be paid on February 14. Assume an interest rate of 1.2% per month. c) Find the balance due on February 14.

The sun is approximately 1.5 × 108 kilometers from Earth. The moon is approximately 4 x 105 kilometers from Earth. How many times farther away is the sun than the moon from planet Earth?

During each second of braking, an automobile slows by about 10 miles per hour. a. Plot the points (0, 60) and (6, 0). What do the points represent? b. Draw a line through the points. What does the line represent? c. Write an equation of the line.

A local bus travels 7 mph slower than the express. The express bus travels 60 miles in the time that it takes the local bus to travel 50 miles. Find the speed of each bus.

Solve the exponential equation by using the property that bx = by means that x = y whenever b> 0 and b ≠1. 3x = 243

g(x) = -x-5 h(x) = 4x+2 Find (g. h)(x) A) -x³-6x² - 8x B) -4x²-22x-10 C) -4x³2x²-12x-6 D) -4x² +22x-10

The cost of a soccer ball to Soccer Line Sports Goods is $45. They sell the same soccer ball for $54. Determine the percent markup in the price of the soccer ball The markup is.

A vehicle purchased for $27,500 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 11 years after purchase. Round to the nearest whole dollar.

Find the value of the expression. 8² + 20

On Monday, Harold picked up five donuts and six large coffees for the office staff. He paid $7.85. On Tuesday, Melinda picked up six donuts and four large coffees for the office staff. She paid $6.70. What is the cost of one donut? What is the cost of one large coffee?

Light spheres are designed to measure, in lumens, visible light or the flux of different lights, lamps, etc. A particular institute establishes standards for how these commercial spheres are calibrated. These spheres are sold in different diameters that determine the lamp length that can be tested. Find the surface area of a 58-inch light-measurement sphere, rounded to the nearest square unit.

A baseball is hit so that its height in feet after t seconds is s(t) = -2t² +40t+6. (a) How high is the baseball after 1 second? (b) Find the maximum height of the baseball.

A man earned wages of $52,000, received $2600 in interest from a savings account, and contributed $3700 to a tax-deferred retirement plan. He was entitled to a personal exemption of $3800 and had deductions totaling $6430. Find his gross income, adjusted gross income, and taxable income.

Recall the GRE example. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. Suppose n= 16 randomly selected students take the GRE on the same day. a. What is the probability that one randomly selected student scores above 147 on the quantitative portion of the GRE?

Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax²+bx+c = 0. The solutions are - 6 and 2.

Cabot Creamery Cooperative tried three times and was able to concoct the world's largest smoothie. It was 400 gallons. How many servings of 16 fluid ounces did this make?

There are 63 students in the cafeteria. There are 9 students at each a. At how many tables are the students seated? b. Write a division equation to represent your answer.

The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below.

Modeling Data In Exercises 81-84, determine which of the following functions f(x) = cx, g(x) = cx², h(x) = c√x, and r(x) = c/x can be used to model the data and determine the value of the constant c that will make the function fit the data in the table.

Write a third-degree equation having the given numbers as solutions. -4, 3, 8 The third-degree equation, has solutions - 4, 3, and 8. (Simplify your answer. Type an equation using x as the variable. Type your answer in standard form.)

Mr. Jones wants to buy 6 tickets to a play. Each ticket costs $10. Mr. Jones has $45 in his pocket. How much more money does he need to buy all 6 tickets?

Nestled deep in a particular rainforest, these wooden spheres, called "Free Spirit Spheres," are hung from the trees by small networks of ropes. The exterior of a sphere has a diameter of about 9 feet 10 inches. Find the volume of the exterior of the sphere to the nearest whole cubic inch.

Two angles form a linear pair and their measures have a ratio of 2 : 5. Select the angle measures (rounded to the nearest hundredth). 130.00 51.42 128.55 2.00 25.71 5.00 104.84

What is the image point of (2,6) after a translation right 5 units and down 3 units?

Gul can run 800 meters in 139 seconds. About how long would it take her to run 6 times as far if she runs at the same speed? Choose the best estimate. About 140 seconds About 600 seconds About 1,200 seconds About 6,000 seconds

Solve the inequality algebraically. X+5/ x-5 > 0 The solution is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

In January, each of 60 people purchased a $500 washing machine. In February, 5% fewer customers purchased the same washing machine that had increased in price by 20%. What was the change in sales from January to February? Select the correct choice below and fill in the answer box within your choice. A. The change in sales from January to February is a $ B. The change in sales from January to February is a $ C. There is no change in the sales from January to February.

Ray Flagg took out a 60-month fixed installment loan of $12,000 to open a new pet store. He paid no money down and began making monthly payments of $221. R business does better than expected and instead of making his 36th payment, Ray wishes to repay his loan in full. Complete parts a) through c). a) Determine the APR of the installment loan. APR=

There were 401 tickets sold for a basketball game. The activity cardholders' tickets cost $1.75 and the non-cardholders' tickets cost $2.25. The total amount of money collected was $880.75. How many of each kind of ticket were sold?

In a game of dice, a player throws two regular dice and records their sum. This is repeated 50 times. Find the expected number of times when the player records a prime number. Give your answer as a fraction in fully simplified form or as a decimal rounded to three significant figures.

A principal of $3500 is invested at 3.75% interest, compounded annually. How much will the investment be worth after 12 years? Use the calculator provided and round your answer to the nearest dollar.

Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find more than 25 substandard welds? 0.4960 0.9960 0.0040 0.5040

Maritza is baking cookies to bring to school and share with her friends on her birthday. The recipe requires 3 eggs for every 2 cups of sugar. To have enough cookies for all of her friends, Maritza determined she would need 12 eggs. If her mom bought o cups of sugar, does Maritza have enough sugar to make the cookies? Why or why not?

Here are several recipes for sparkling lemonade. For each recipe describe how many tablespoons of lemonade mix it takes per cup of sparkling water. (Lesson 2-1) Recipe 1: 4 tablespoons of lemonade mix and 12 cups of sparkling water Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling water Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling water

Use the laws of logarithms, the fact that the exponential and logarithmic functions are inverses of each other and the table on the last page to find an approximation to the nearest tenth of the log of the following values. (a) log(251) (b) log(0.00398) (c) log(16/320)

1. Harper is going to create a graph of the equation y = -0.5x + 12. Which of the following will be true about the graph? a.The graph will contain the origin. b. The graph will increase from left to right. c. The graph will cross the x-axis at (12, 0). d. The graph will have a slope of -0.5.

To start a new business Beth deposits $1500 at the end of each six-month period in an account that pays 7%, compounded semiannually. How much will she have at the end of 8 years? At the end of 8 years, Beth will have approximately $ (Do not round until the final answer. Then round to the nearest hundredth as needed.)

On the April 2 billing date, Michaelle Chappell had a balance due of $1423.58 on her credit card. From April 2 through May 1, Michaelle charged an additional $482.18 and made a payment of $600. a) Find the finance charge on May 2, using the previous balance method. Assume that the interest rate is 1.4% per month. b) Find the new balance on May 2. a) The finance charge on May 2 is $ (Round to the nearest cent as needed.)

A line goes through the points (8,11) and (-2,7). (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work.

Jeff and Sargon are saving money to go on a road trip. After looking at all the costs, they determine they need at least $2050 to go on the trip. Jeff shovels snow from driveways and Sargon salts the sidewalks to raise money. Jeff charges $15 each time he shovels a driveway and Sargon charges $10 each time he salts a sidewalk. The number of sidewalks that Sargon has scheduled is no more than three times the number of driveways Jeff has scheduled to shovel. Sargon plans to salt at least 35 sidewalks through the winter season. Write a set of constraints to model the problem, with x representing the number of driveways shoveled and y representing the number of sidewalks salted.