Basic Math Questions and Answers

How many different committees can be formed from 8 teachers and 37 students if the committee consists of 3 teachers and 3 students? In how many ways can the committee of 6 members be selected?

John must score 80 % correct on a test to qualify for a job. His score was 27/36. Does he qualify? What is his percent correct? Yes. 80% Yes. 90% No. 70% No. 75%

Use matrices to solve the system of linear equations, if possible. Use Gauss-Jordan elimination. (If not possible, enter IMPOSSIBLE. If the system is dependent, express x and y in terms of the parameter a.) (2x (2xy + 3z = 19 z 18 =8 2y 7x - 5y (x, y, z) = (

Which statements are true for irrational numbers written in decimal form? A. Irrational numbers are nonterminating and repeating. B. Irrational numbers are nonrepeating. C. Irrational numbers are terminating. B and C B C A

1. Jack and Jill both ordered pizzas from Wayne's Pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Jill paid $67 for 2 pepperoni pizzas and 4 plain pizzas. How much does Wayne's Pizza charge for a plain pizza and for a pepperoni pizza? Step 1: Identify the variables. Step 2: Set up the system. Step 3: Solve the system. Step 4: Answer the question.

The corresponding sides of AABC and ADEF have equal lengths. The area of AABC is 4 square units, and the longest side of ADEFIs 5 units long. What is the area of ΔDER A. 2 square units B.4 square units C. 20 square units D.10 square units

Farmers use Fertilizers imported from China and each bag of fertilizer (20 kg) is marked the direction how to use the fertilizer and the unit is given in terms of Kilograms per hectare(kg/ha). In United States it is customary for farmers to use the unit in terms of pounds per acre(lb./A) (1 Lb./ac = 0.892 kg/ha) a) How many bags of fertilizers are needed if the farmer had done cultivation in 20 acres land?

Consider the following algebraic expression: 7t-4 Identify the first term of the algebraic expression. Indicate whether the term is a variable term or a constant term. For a variable term, identify the variable and the coefficient of the term.

Sara is making punch for her party. Her punch bowl holds 600 ounces for 80 servings of punch. How many ounces of punch are in each serving? A 60 ounces B 9.5 ounces C 7.5 ounces D 0.75 ounce

A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability of the given event, please show your answers as reduced fractions. (a) The marble is red. P(red)= (b) The marble is odd-numbered. P(odd)= (c) The marble is red or odd-numbered. P(red or odd) = (d) The marble is blue or even-numbered. P(blue or even) =

A missile was fired from a submarine from 470 feet below sea level. If the missile reached a height of 13900 feet before exploding, what was the change in the altitude of the missile?

In the diagram below of triangle IJK, L is the midpoint of IK and M is the midpoint of JK. If LM = 4x + 8, and IJ = 5x + 22, what is the measure of LM?

A bag of M&M's has 7 red, 3 green, 6 blue, and 8 yellow M&M's. What is the probability of randomly picking: (give answer as a reduced fraction) 1) a yellow? 2) a blue or green? 3) an orange?

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 217.5 grams of this cereal.

1. Write the sentence as an inequality: The difference of a number x and 14 is less than or equal to -3. The inequality is: 2. Tell whether the value is a solution of the inequality: 4x-20 ≥ 10; x = 6

Find the value of the expression. 25.2 - 32 + 12.4 - (- 5.3) =

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image MNOPQ. The coordinates of point Mare (2, 4), and the coordinates of point Nare (3, 5).

Last year's enrollment was 186 students greater than this year's enrollment. Last year, there were 3479 students enrolled. i) If L represents last year's enrollment and T represents this year's enrollment, what formula accurately reflects the relationship between the two variables? ii) How many students were enrolled this year? i) L = T - 186 ii) There are 3665 students enrolled this year. i) T = L - 186 ii) There are 3665 students enrolled this year. i) L = T - 186 ii) There are 3293 students enrolled this year. i) T = L - 186 ii) There are 3293 students enrolled this year.

You are ready to spend your Christmas money! You go to your favorite store and buy some jewelry. They are running a sale where everything is $10! You got $130 for Christmas and don't have any more than that to spend. Write an inequality to represent how many pieces of jewelry (j) you can buy. I

A four member relay team decided they wanted new workout clothes. Shirts cost $10 each, sweats cost $26 each and sweatshirts cost $18 each. What is the total cost of the new outfits for all of the members? $54 $60 $216 $240

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 60 kilograms. A delivery of 5 large boxes and 6 small boxes has a total weight of 118 kilograms. How much does each type of box weigh?

ABCD is similar to polygon PQRS. Each side of polygon ABCD is 1 1/2 times longer than the corresponding side of polygon PQRS. If the perimeter of polygon ABCD is 15 inches, what is the perimeter of polygon PQRS? A. 22 1/2 inches B. 10 inches C. 37 inches D. 16 1/2 inches

Isabel is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of Math is Fun she sells. Suppose that s and y are related by the equation y-2200+120x. Answer the questions below. Note that a change can be an increase or a decrease. For an Increase, use a positive number. For a decrease, use a negative number. What is the change in Isabel's total pay for each copy of Math is Fun she sells? What is Isabel's total pay if she doesn't sell any copies of Math is Fun?

*Going from percent to fraction 1- Drop the percent sign and move the decimals twice to the left. Example: 65% 2- Put the numbers to the right of the decimal over the place its holding. 3- Simplify by reducing the fraction.

If you are plotting the product of two numbers on a number line, which of the following is true for the product (-3) - 4? 1) Each movement is the size of 4 units. 2) We move 3 "jumps" in a positive direction. 1) Each movement is the size of 3 units. 2) We move 4 "jumps" in a negative direction. 1) Each movement is the size of 4 units. 2) We move 4 "jumps" in a negative direction. 1) Each movement is the size of 3 units. 2) We move 4 "jumps" in a positive direction.

A person invests 5500 dollars in a bank. The bank pays 5.75% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?

A voter polling research group determined that 41% of the voters in a country would vote for the democratic candidate with a ±4% margin of error. If they anticipate only 12,000 people will turn out to vote in the election, which would represent the possible number of voters for the democratic candidate. 4440 to 5400 voters 4916 to 4924 voters 480 to 960 voters 4680 to 5160 voters

Which pair of numbers are not opposites? 72 and - 72 27 and -27 27 and |-27| 171 and -7

Select the correct answer. Polygon XYZWis dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image XYZW. If point Tlies on YZ, what can be said about Y'Z'? A Y'Z' passes through point 7but has a different slope than YZ. B. Y'z' passes through point 7 and has the same slope as YZ. C. y' does not pass through point T but has the same slope as YZ. D. Y'z' does not pass through point 7 and has a different slope than YZ.

Carissa has $250 in her checking account and is saving $15 each week. Brooke has $750 in her checking account and is spending $10 each week. How many weeks will it take for Carissa and Brooke to have the same amount of money in their accounts?

I visited friends in New York City during the summer. They took me to this HUGE Wal-Mart store. There was a display of cookie boxes that I couldn't believe! The display was in a pyramid shape with at least 100 boxes as the base. I had to stand back and wonder how many boxes were in the whole display. I imagine when they started building the display it might have looked like the pictures below. How many boxes of cookies are in a display with a base of 5 boxes? 10 boxes? Can you come up with a rule for finding the number of boxes in a display that is 100 boxes in the base like the one I saw???? 1 box base 2 box base 3 box base

The function f(x) = 9x - 3 is one-to-one. (a) Find the inverse of f and check the answer. (b) Find the domain and the range of f and f-¹. (c) Graph f, f-1, and y=x on the same coordinate axes. (a) f-¹(x)= (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Find the equation (in terms of a) of the line through the points (-2,-4) and (5,-1)

A mortgage company charges customers a late fee for late payments that is based on the outstanding balance on the loan. Suppose that a company charges a late fee of 36% simple interest on a mortgage payment of $4000. How much do you owe if you make the payment one month late?

A right circular cone is placed with the wide, circular side on a table so that the vertex (the sharp point) is up. Assume that the cone is 28 inches high, and that the radius of the circular base is 21 inches. Next, cut off the top of the cone (cutting parallel to the table) at a height which creates a circular cross section of radius 12 inches. You now have what is known as a "truncated" cone. Imagine now that you have a lampshade in the shape of this truncated cone. Inside the lampshade is a spherical plastic ball that houses the light bulb. The spherical plastic ball is completely inside the lampshade, and the ball is tangent to both the circular top and to the circular bottom of the lampshade. Find: (a) The volume of the lamp shade. (b) The volume of the spherical plastic ball. (c) The volume of the part of the lampshade that is not occupied by the spherical plastic ball.

Mrs. Larsen was making gift bags for the 6 students in her reading group. She was putting little erasers in the bags. She had a bag of 20 erasers. How many erasers did each student get? Show all your work.

Step 2 of 2: Given the following parameters for a sampling distribution of sample proportions, calculate the standard score of the sample proportion. Round your answer to two decimal places. p = 0.51. x = 59, n = 100

A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function y = 75z +25. Which statement represents the meaning of each part of the function? A. y is the total cost, x is the number of months of service, $25 is the installation fee, and $75 is the service charge per month. B. y is the total cost, x is the number of months of service, $75 is the installation fee, and $25 is the service charge per month. C. x is the total cost, y is the number of months of service, $25 is the installation fee, and $75 is the service charge per month. D. x is the total cost, y is the number of months of service, $25 is the installation fee, and $75 is the service charge per month.

The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle? A 30 units B. 20 units C. 15 units D. 7.5 units

Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 4, given that the sum is 5.

Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? 75 cookies per dollar $3 per cookie 3 cookies per dollar $0.75 per cookie

Arbuckle County has an area of 1,854 square miles with a population of 831,047 people. a) Determine the population density. Round to the nearest tenth. people per square mile b) What is the population density in people per square kilometers (Recall 1 km = 0.62 miles). Round to the nearest tenth. people per square kilometer. c) Baxter County has an area of 2,724 square miles. How many people would be in Baxter County, if the population density were the same as Arbuckle County? Round to the nearest person. people

b.) Determine if the conjecture is always true based on the given information. If it is false, give a counterexample to show the conjecture is false. The product of two numbers is greater than each individual number. True or False Counterexample if false

Over the course of the twentieth century, advances in medicine and nutrition have significantly increased human life expectancy. This has prompted a debate on whether there is a limit for the human life span, and what that limit might be. (The highest verified age for a human so far was Jeanne Calment of France, who lived to an age of 122 years). Two scientists - Jay Olshansky of the University of Illinois-Chicago and Steven Austad of the University of Alabama - have differing views on the subject. In the year 2000, Austad asserted that by the year 2150 there would be a 150-year old human being. His friend Olshansky disagreed, claiming that the upper limit is would be at most 130 years. In the year 2000, the two scientists made a wager - each placed $150 into an investment account and signed a contract stating that in the year 2150 the heirs of the man who was correct would receive the accumulated amount in the account. a) Suppose that the account averages a 7% annual return over this time span. What will be the amount in the account in the year 2150? b) A report published in a financial magazine estimated that with good market returns, the prize could be worth as much as $200 million by the year 2150. What would be the average annual return needed to accumulate this sum? c) A few years after the initial bet, each scientist doubled their initial investments. Assuming that the fund averages an average annual return of 10%, what will be the amount in the fund in the year 2150?

You can retry this question below The value of a car is depreciating according to the model V = 8000(0.87)t, where V is the value of the car t years after purchase. Solve, using logarithms, for when the value of the car will reach $6,000. Give your answer to the nearest tenth. years after purchase

A plane flying horizontally at an altitude of 1 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 2 mi away from the station. (Round your answer to the nearest whole number.)

9. The profit P for a video-game maker is given by P =-.002x² +90x - 150,000, where P is the total profit in dollars and x is the number of units sold. a. If zero units are sold, what is the profit? What does this say about the costs of the operation? b. What level of production yields the maximum profit? What is that profit?

In December 2016, the Bureau of Labor Statistics issued a statement saying, "The Consumer Price increased 2.1 percent over the last 12 months to an index level of 241.43." What was the CPI in December 2015? [6 pts]

Due to covid 19, an increase of people getting vaccines was noticed. 1,428,831 people more than last year with a margin of error of 584,706 are expected to get their covid 19 vaccination. What is the maximum expected number of people getting their covid vaccine? Type your answer...

How many different committees can be formed from 7 teachers and 48 students if the committee consists of 4 teachers and 2 students?