Basic Math Questions and Answers

Peter has been saving his loose change for several weeks. When he counted his quarters and dimes, he found they had a total value $16.60. The number of quarters was 12 more than three times the number of dimes. How many quarters and how many dimes did Peter have? Number of quarters = Number of dimes=

Fishing A family of five people has $200 to spend on fishing rods and fishing licenses. They spend a total of $20 on licenses. Assuming they buy 5 identical rods, what is the maximum amount they can spend on each rod?

Determine the discriminant of the quadratic equation. Use the value of the discriminant to determine whether the quadratic equation has two rational solutions, two irrational solutions, one repeated real solution, or two complex solutions that are not real. ' 2x² + 3z + 3 = 0 discriminant =

Factor out a factor with a negative coefficient. -25³ +65-12 (Factor completely.)

Ryan has nine 14-ounce bags of popcorn to repackage and sell at the school fair. A small bag holds 3 ounces. How many small bags can he make?

A car rental company charges a daily rate of $32 plus $0.10 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $71. How many miles did you drive? miles

Find two positive numbers so that twice their sum equals their product and one number is 9 times the other number. Enter the smaller number first. Hints: Read problem solving tips 1 through 12 on page 46. Talk to a friend! The smaller number is The larger number is

A car rents for $160 per week plus $1.00 per mile. Find the rental cost for a two-week trip of 500 miles for a group of three people.

A gasoline station recently increased the price of one grade of gasoline by 15%. If this gasoline originally cost $2.60 per gallon, find the mark-up and the new price. The mark-up is $(Round to the nearest cent as needed.)

If the formula y= x³ is changed by adding four (shown in red below), what effect would that change have on the function's values? ƒ(x) = x³+4 What effect would it have on the graph? ✓ Select an answer It would shift all the points to the right four. It would scale all the points by a factor of four. It would have no effect. It would shift all the points up four. It would shift all the points to the left four. It would shift all the points down four.

If a population has an annual growth rate of r percent, then 70/r is a good estimate of the population's doubling time. Use this method to estimate the population's doubling time for a country with a growth rate of 0.932% in 2008. The estimate predicts that the country's population will double in years. (Round to the nearest whole number.

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 14 feet more than the length of the shortest side. the dimensions if the perimeter is 182 feet. What is the length of the shortest side? The length of the shortest side is What is the length of the second side? The length of the second side is

Which is equal to 54? Select one: a. 5(10 +1) - (4.1) b.7(7+2)-5 c. 8(8-2) + (3.2) d. 9(6-1) + 6 Clear my choice

Factor by grouping. Check your answer. S5-S4 +S-1

What is the sum of all of the terms from the 10th term through the 60th term (including the 10th and 60th terms?

Brooke decided to ride her bike from her home to visit her friend Justin. Three miles away from home, her bike got a flat tire and she had to walk the remaining four miles to Justin's home. She could not repair the tire and had to walk all the way back home. How many more miles did Brooke walk than she rode?

Beth ran a total of 6 miles over the course of 2 track practices. How many track practices would it take for Beth to run 12 miles? Assume the relationship is directly proportional.

Factor the polynomial. X-3x²-5x + 15

Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than 90° and that there are 360° at the center of the circle. Aliaa wants to partition the circle in 10 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?

On a number line, an open dot indicates that a number__ in the solution set, and a closed dot indicates that a number__ in a solution set. On a number line, an open dot indicates that a number__ in a solution set. in the solution set, and a closed dot indicates that a number

Jackie has been offered positions by two cable companies. The first company pays a salary of $16000 and a commission of $75 for each cable package sold. The second pays a salary of $13300 plus a commission of $125 for each package sold. How many cable packages would need to be sold to make the total pay the same?

Alexa, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $390 for 48 hours worked. What is her regular hourly rate? Alexa's regular hourly rate is $ per hour.

The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book. The bus must be used times.

What is the effect on the graph of f(x) = 1/x when it is transformed to g(x) =1/x -16? A. The graph of f(x) is shifted 16 units up. B. The graph of f(x) is shifted 16 units to the left. C. The graph of f(x) is shifted 16 units to the right. D. The graph of f(x) is shifted 16 units down.

Write the negation of the conditional statement. If there is a storm, then all schools are closed, Choose the correct negation below. A. If there is not a storm, then some schools are not closed. B. There is not a storm and some schools are not closed. C. There is a storm and some schools are not closed. D. There is a storm or some schools are not closed.

A small jet can fly 1650 miles in 3 hours with a tailwind but only 1350 miles into a headwind. Find the speed of the jet in still air and the speed of the wind. Speed of the jet in still air: Speed of the wind:

Graph the given equation by hand by plotting points. Verify your results using a graphing utility. 4x² +9y=36

A typical cup of coffee contains about 80 mg of caffeine and every hour approximately 16% is metabolized and eliminated. (a) Write C, the amount of caffeine in the body in mg as a function of t, the number of hours since the coffee was consumed. mg help (formulas) C(t) =

The two stadiums with the largest capacities are Marshfield Stadium and Bowden Stadium. Marshfield Stadium has a capacity of 4,545 more than Bowden. If the combined capacity for the two stadiums is 210,355, find the capacity for each stadium.

The elements that compose seawater, along with the corresponding percents, are shown in the table. If a sample of seawater contains 30 ml, how many ml of oxygen are in the sample? Seawater Elements Chemical Percent Oxygen 85.84% Hydrogen 10.82% Chlorine 1.94% Sodium 1.08% Magnesium 0.13% Other elements 0.19%

The price of diamond rings. A newspaper advertisement in the Straits Times of Singapore contained pictures of diamond rings and listed their prices, diamond weight (in carats), and gold purity. Based on data for only the 20-carat gold ladies' rings in the advertisement, the least-squares regression line for predicting price (in Singapore dollars) from the weight of the diamond (in carats) is price = 259.63 +3721.02 carats (a) What does the slope of this line say about the relationship between price and number of carats? ( b) What is the predicted price when number of carats=0? How would you interpret this price?

Starting with the graph of f(x) = 9^z , write the formula for the function that results from (a) shifting f(x) 1 units upward. y = (b) shifting f(x) 4 units to the right. y = (c) reflecting f(x) about the x-axis. y =

Tina has been dieting for a total of 13 weeks. She lost 3 pounds on the first week of her diet, but gained back a pound on the second week. On each remaining week of her diet, she lost 2 pounds. How many pounds has Tina lost in all? A. 22 pounds B. 24 pounds C. 26 pound D. 20 pounds

4There are four classes of third graders at Woodbury Elementary School. One class has 24 students, one has 26 students, another has 31 students and the last has 22 students. The principal would like to split the third grade population into two groups for lunch period. Which expression represents the separation of the third grade into two groups? A. 2(24 + 26 +31 +22) B. 24 +26+31+ 22 / 2 C. (24 +26) - (31 +22) D. 2 / 24 +26+31 + 22

In 2011 a country had a population of 143 million and a growth rate of -0.472%. Assuming that this rate remains constant, estimate the population of the country in 2020. In 2020, the country's population will be about

A country's populations in 2000 and 2011 are given below. Use this information and the exponential model A= P(1+r)^n to find the growth rate for the country over this period. population (2000) = 81 million; population (2011) = 109 million

A company manufactures and sells bookcases. The selling price is 53.9 (in dollars) per bookcase. The total cost function is linear, and costs amount to 50,000 (in dollars) for 2000 bookcases and 32, 120 (in dollars) for 800 bookcases. Find the break-even point.

What's my grade? In Professor Krugman's economics course, the correlation between the students' total scores prior to the final examination and their final- examination scores is r = 0.5. The pre-exam totals for all students in the course have mean 280 and standard deviation 40. The final-exam scores have mean 75 and standard deviation 8. Professor Krugman has lost Julie's final exam but knows that her total before the exam was 300. He decides to predict her final- exam score from her pre-exam total. (a) What is the slope of the least-squares regression line of final-exam scores on pre-exam total scores in this course? What is the intercept? Interpret the slope in the context of the problem. (b) Use the regression line to predict Julie's final-exam score. (c) Julie doesn't think this method accurately predicts how well she did on the final exam. Use r2 to argue that her actual score could have been much higher (or much lower) than the predicted value.

Factor. p²(y-v)+2(v-y) Choose the correct answer below. A. (p²-2) (v-v) B. (p²+2) (y + v) C. (p²+2)(y-v) D. (p²+2) (v-y)

Factor by grouping. 15x³−6x² +25x−10

Jerry will pay 6.5% sales tax on a $45 pair of shoes and a $21 shirt. Which expression shows how Jerry can find the total cost after tax? (0.065 x 45 +21) + (45+21) [0.065(45+21)] + (45+21) 2(45+21) x 0.065 0.065 x 45 + 21 +45 + 21

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is located at (11,2) and the Bus Station is located at (1.-8). The Train Station is located at point X= y=

Rey wanted to buy a headset worth Php 500 so he saved Php 5 on Monday, Php 6 on Tuesday, Php 7 on Wednesday, and so on. How much would he be able to save in 30 days? Will he be able to buy the headset after 30 days?

Join the following sentences using a transition preceded by a semicolon. I stayed up late last night reading a book. This morning I slept in late. A. I stayed up late last night reading; a book, therefore this morning I slept in late. B. I stayed up late last night reading a book therefore; this morning I, slept in late. C. I stayed up late last night reading a book; therefore this morning I slept in late. D. I stayed up late last night reading a book; therefore, this morning I slept in late.

Solve the equation. 5(4+2x)=9(x-1) Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is (Simplify your answer.) B. There is no solution.

Translate the sentence into an equation. Four more than the product of a number and 8 is 5. Use the variable b for the unknown number.

A woman purchased a used car for $6000. She decided to sell the car for 10% above her purchase price. She could not sell the car so she reduced her asking price by 10%. If she sells the car at the reduced price, will she have a profit or a loss or will she break even? Select the correct choice below and fill in any answer box to complete your answer. A The woman will have a loss of $ B. The woman will have a profit of $ C. The woman will break even.

Salma is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $70. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Salma has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.

Which sentence below correctly punctuates the quote? A. Yeats writes ",She bid me take life easy, as the grass grows on the weirs." B. Yeats writes, "She bid me take life easy, as the grass grows on the weirs." C. Yeats writes "She bid me take life easy, as the grass grows on the weirs," D. Yeats writes, "She bid me take life easy, as the grass grows on the weirs.

An amount of $38,000 is borrowed for 9 years at 4.75% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back? Use the calculator provided and round your answer to the nearest dollar.