Basic Math Questions and Answers

Bill wants to attend a college with a current tuition of $10,000 a year. He will graduate from high school in five years. Roughly how much will Bill need to save for one- year's tuition to account for an annual rate of inflation of 3%? $638.30 $667.50 $656.50 $633.30

Enter the unlock number to escape! Use scratch paper if needed. * Nearpo Anna is preparing 30 days of dessert for her pet beetle. She starts by mixing 3.67 grams of pureed ants with a 1.43-gram blueberry. She then divides the mixture into 30 equal parts, one for each day. The International Federation of Beetle Keepers recommends that a beetle should have 0.15 grams of such a dessert each day. Over the course of a seven-day week, how many more grams of dessert will Anna's beetle have eaten than the recommended amount?

A party supply store sells cups in packages of 6 and plates in packages of 8. You are hosting a party and you want to have the same number of each item. What is the least number of plates (packages) Shaniya needs to buy?

Albertsons grocery planned a big sale on apples and received 960 crates from the wholesale market. Albertsons will bag these apples in plastic. Each plastic bag holds 1/6 of a crate. If Albertsons has no loss to perishables, how many bags of apples can be prepared? Bags of apples

Divide: 6x³ + x² -12x + 5 / (3x - 4) 2x² + 3x + (5 / 3x-4) 2x² - 3x + (5 / 3x-4) 2x² + 3x + 5 2x² - 3x - (5 / 3x-4)

Kira, Joe, and Hans sent a total of 98 text messages during the weekend. Kira sent 6 more messages than Joe. Hans sent 2 times as many messages as Joe. How many messages did they each send? Number of text messages Kira sent: Number of text messages Joe sent: Number of text messages Hans sent:

Graph the line with the equation y =1/3 x - 6.

A local Papa Gino's conducted a food survey. The survey showed that 2/11 of the people surveyed preferred eating pasta to hamburger. If 5,434 responded to the survey, how many actually favored hamburger? (Do not round intermediate calculation and round your final answer to the nearest whole number.)

This question is designed to be answered without a calculator. Let f be a continuous function whose graph passes through points (4, 0), (5, 1), (8, 2), (13, 3), and (20, 4). A trapezoidal approximation of the area under the graph of y = f(x) over the interval [4, 20] with 4 subintervals is 32. 38. 42. 50.

Simplify the expression. 15x⁴y⁷ / 3xy⁴

Perform the indicated operation and simplify the results. Divide 6m² + 2m by 2m

Use the distributive property to multiply. [Hint: Do not use space in your answer.] x² (3x³ – 8x² − 6x)

Your cell phone has 983.5 MB of free space. You save a 1.4-MB picture and download two songs that are the same size. cell phone now has 974.9 MB of free space. What is the size of each song?

Perform the subtraction and find the difference. 11x³ - 8x² + 2x - (11x³ - 11x² + 15x) Ax² + Bx A = B =

You can also find 12 1/2 - 60 1/3 = - 72 5/6. What information does that give you about the path in the Example?

Use long division to find the quotient and remainder. (3x² - 14x - 5) ÷ (x - 5) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (4x² + 12x + 8) ÷ (4x + 4) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (5x² +24x +1)÷ (x + 5) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (x³ - 7x² + 13x - 6) ÷ (x − 2) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (x² + 2x - 15) ÷ (x - 2) What is the quotient? What is the remainder?

Use synthetic division to divide. (9x³ - 9x² +50x +15) ÷ (3x − 1) What is the quotient? What is the remainder?

An issue of Taunton's Fine Woodworking included plans for a hall stand. The total height of the stand is 69 inches. If the base is 47 inches, how tall is the upper portion of the stand?

The boiling point of water was measured at different locations of varying barometric pressures. A regression line of the data is y = 1.9x + 155.3, where y is the boiling point in degrees Fahrenheit and x is the pressure in inches of mercury. Which statement best describes the meaning of the slope in the regression line? A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9 °F. B. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 155.3 °F. C. For every 1.9 inches of mercury the pressure increases, the boiling point is expected to increase by 1.9 °F. D. For every 1.9 inches of mercury the pressure increases, the boiling point is expected to increase by 155.3 °F.

If f(x) = 2x² - 7x+1, find each of the following. (a) f(0) (b) f(-5) (c) f(2) (a) f(0) = 1 (b) f(-5) =

At the beginning of the year, Pina Colada Company had total assets of $968,000 and total liabilities of $586,000. Answer the following questions. (a) If total assets increased $135,000 during the year and total liabilities decreased $69,000, what is the amount of stockholders' equity at the end of the year?

The lowest point of the dry lake bed in the Example has an elevation of -18 3/4 ft. What number represents the change in elevation from the start of the path to the lowest point in the dry lake bed? Show your work.

Personal care aide is an occupation that is growing quickly. Assume that, in a certain region, there will be a need for 152,452 personal care aides in 2024, a growth of about 29% over 2014 levels. How many personal care aides were there in this region in 2014?

A friend has a 78% average before the final exam for a course. That score includes everything but the final, which counts for 25% of the course grade. What is the best course grade your friend can earn? What is the minimum score would your friend would need on the final to earn a 75% for the course?

Consider the following operations on the number 1.59 x 10-² Without using a calculator, decide which would give a significantly smaller value than 1.59 x 107, which would give a significantly larger value, or which would give essentially the same value. 1.59 x 10 +2.00 x 100 1.59 x 10-22.00 x 10-6 1.59 x 102x2.00 x 10-6 1.59 x 102 +2.00 x 10-6

Create an equation for the following real-life problem. Adrian needs to rent a car while on vacation. A-plus rentals charges $60 per day plus $0.60 per mile. The rental cost for Mavis Rentals is $70 per day and $0.50 per mile. The equation represents the mileage at which each of the rentals will be the same cost.

Sand falls from a conveyor belt at a rate of 15m3/ min onto the top of a conical pile. The height of the pile is always three-eighths of the diameter of the base. How fast is the height changing when the pile is & m high?

This problem is a checkpoint for solving linear equations (integer coefficients). It will be referred to as Checkpoint 1. Solve each equation. a. 3x+7=-x-1 C. 4x-2+x=-2+2x b. 1-2x+5=4x-3 d. 3x-4+1=-2x-5+5x

In this example, we should not report all the digits from the final calculation. By including all the numbers we imply that we were able to measure the dimensions with greater precision than actually possible with a standard inch ruler. We should round and report the diagonal calculation with two significant figures since the length and width values were given with two significant figures. If we round off in the middle of our calculation and square root 190, we will be removing valuable information that would otherwise provide a more accurate diagonal value. By rounding down midway we end up with a value that is less than the true diagonal value. You could argue that we are going to report our final answer with two significant figures anyway and end up at the same number, but it is a bad habit that can lead to unreliable data in other situations.

In proving the quadratic formula, what is the appropriate justification for the last step? ax+bx+c 0 Need to rewrite for common denominator of 2a Equivalent expressions c) Use completing the square to isolate squared term d) Keeping both sides equivalent e) The last step is incorrect

Simplify the fractions. a) 2/6 b) -4/2 c) 3/-3 d) 2/-4

Lexi runs the snack stand at Belleview Community Pool. This morning, she withdrew $150 from the stand's bank account to buy supplies. When the stand closed this evening, she deposited $437 from the day's sales. What was the total change in the stand's bank account relative to where it started?

Write the indicated amounts, using numerals and abbreviations. Two tablespoons

Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t=3y, where = time (seconds) y = distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning? A3/8km B. 2 2/3 km C. 5 km D. 11 km E. 24 km

A chemist mixes 125 milliliters of a solution that is 18% acid with 500 milliliters of pure acid. Answer the questions below. Do not do any rounding. (a) How many milliliters of acid are in the resulting mixture? (b) What percentage of the resulting mixture is acid?

Tom's team takes 2 hours to build the machine, while Sara's team takes 3 hours to build the same machine. If they work together at the same rates, how long will it take them to finish the same machine? a) 20 minutes b) 30 minutes c) 50 minutes d) 5 hours e) Answer is not here

In a tiny country the current population is 200,000 and is increasing at 2.5% a year. Most of the people eat rice as a basic part of their diet, and the country can produce enough rice for 300,000 people. Assuming they continue to produce the same amount of rice each year, how long will it be before there are shortages in rice and they have to start importing it?

Which subset describes the following set of numb -5, -8, 11, 430 A. Whole Numbers B. Integers C. Both of the above D. None of the above

Jia is thinking of a number. She gives three clues about the number: the number is even, the number is less than-12, and the absolute value of the number is between 9 and 15. What is Jia's number? Explain how you know.

Consider the equation shown in the box, where p and q are real numbers. For what values does the equation represent a proportional relationship? p=0,q=1 p=0,9-2 p=1,9 -0 p=1,9-2 ypx +q

You can do this exercise as a thought experiment or follow along with a real piece of paper and a ruler. You're trying to determine the diagonal length of a piece of paper by two methods. One is to measure the diagonal with the ruler. Second method is to measure the width and length, then calculate the diagonal by using the Pythagorean theorem. Using the first method, you measure the diagonal as 14". Using the second method, you measure 8.5" by 11". squaring each and adding, you get 193.25 sq in, then you take the square root to determine the calculated diagonal length. The calculator shows the number, 13.901439. Should you write down all of these numbers in your answer? Why or why not? What happens if, instead of using 193.25, you round off in the middle of your calculation to 190 and take the square root?

A supermarket offers a delivery service. If a customer pays $9 per month, each delivery costs just $2. Write an equation that shows how the total cost for a month, y, depends on the number of deliveries, x.

It is the least four-digit number that can be rounded up to the nearest hundred as 4,100. Write it in expanded form:

A 16-foot ladder is leaning against a building If the bottom of the ladder is sliding along the pavement directly away from the building at 2 ft/sec, how fast is the top of the ladder moving down when the foot of the ladder is 4 feet from the wall? ft/sec when the foot of the ladder is 4 feet from the wall. The top of the ladder is moving down at a rate of (Round to the nearest thousandth as needed.)

A tour group is going sea diving. The ocean floor is at-18 ft relative to sea level. One diver is already at 11 ft. The tour guide is keeping watch on a platform 5 ft above sea level, directly above the diver. PART B Write an absolute value inequality comparing the distances of the tour guide and the diver to sea level. Who is closer to sea level? Explain how you know.

Ralph and Alphonse are shooting marbles. Ralph has five more marbles than Alphonse, and they have a total of 73 marbles. How many marbles does each of them have?