Basic Math Questions and Answers

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?

ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image AA'B'C. If A=(2, 2), B=(4, 3), and C= (6, 3), what is the length of B'C' ? 3 units 4 units 2 units 1 unit

In the first week of the basketball season, P.J. made 20 of his first 30 free throw attempts. Which equation models P.J.'s free throw percentage, p, if he makes his next x attempts? O A. OB. O C. O D. p = p = p = P = I 20 + 30 I + 20 I + 30 I + 20 30 201 301

Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 13 more problems. Over the two days, a total of 23 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on Monday? A. x-13 =23 B.13x = 23 C.23 + x = 13 D.x+13=23

Select the standard form of the equation x² - 10x + y² - 6y +9=0 O (x+5)² + (y + 3)² = 21.5 (x - 5)² + (y - 3)² = 43 (x + 5)² + (y + 3)² = 43 (x - 5)² + (y - 3)² = 21.5 O

Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] Each day, there is a 40% chance that you will sell an automobile. You know that 10% of all the automobiles you sell are two-door models and the rest are four-door models. P(Sell 2-door) P(Sell 4-door) = P(No sale) =

You measure 40 textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 5.9 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.

A soccer team wants new uniforms. A jersey costs $42, shorts cost $26, socks cost $6, and shinguards cost $18. How much does one uniform cost? O $62 O $74 O $83 $92

You need a 60% alcohol solution. On hand, you have a 105 mL of a 40% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?

Can the value 6 be a probability? yes no

Estimate the product. Round each number to its greatest place value, then multiply. 7.5 x 203

A student plans to take 5 courses next term. If he selects them randomly from a list of 16 courses, 8 of which are science coum Courses selected will be science courses? The probability that all 5 courses selected will be science courses is ype an integer or decimal rounded to three decimal places as needed.)

Points Q, R, S, and T are plotted on the number line. RS T 1 -2 -1 -1 -1 0 1 1/2/2 a. Which two plotted points have a sum of zero? b. Explain how the number line can be used to show that the sum of the two points you identified is zero. c. Explain how the number line can be used to determine the sum of the location of point T and -1-1/

COOKIES A cookie jar contains three types of cookies: oatmeal, chocolate chip, and sugar. Sixty percent are chocolate chip. Half of the remaining cookies are oatmeal. If there are 9 oatmeal cookies, how many cookies are in the jar? Use the draw a diagram strategy.

A statistical analysis is completed on a set of data and Pearson's and Spearman's coefficients are found as shown below: Pearson's: 0.549 Spearman's: 0.989 Which coefficient would be more appropriate to apply in this analysis?

Boxplot of Male Age (Actor), Female Age (Actress) Male Age (Actor) Female Age (Actress) 20 30 40 Ves 50 Data 60 +510 (Mac) 70 Identify three major differences between the ages of the best actor and best actress Oscar winners using the boxplot above. Look for difference in their center, shape, spread (IQR and range), and outliers. (Note: Since you are interpreting a histogram, there is some flexibility for correct responses.) 80

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $118. Two adults and three children must pay $84. Find the price of the adults ticket and the price of a child's ticket The price of a child's ticket is $ The price of an adult's ticket is $