Basic Math Questions and Answers

Peter withdrew 1000 dollars from his bank account today. He uses 500 to fix his car. Then, he divide the money into 5 equal parts and gave away 4 parts and kept 1 part for himself. Finally, he took to wife to the restaurant and spent 60 dollars on meals. How much money, in dollars, does Peter have now? 40 500 67 100 33

What numbers must you know to find the surface area and volume of a sphere? The sphere's radius and the area of a great circle The sphere's radius and the circumference of a great circle The sphere's radius and the circumference and area of a great circle The sphere's radius

A jar contains 8 pennies, 3 nickels and 7 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Round your answers to 3 decimal places. Find the probability X = 10. Find the probability X = 11.

A total of 380 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?

Starting with the graph of f(x) = 67, write the equation of the graph that results from a. shifting f(x) 7 units left. b. shifting f(x) 5 units downward. c. reflecting f(x) about the x-axis.

Rationalize the denominator: -9/4 + √2

Diana had a coupon for c dollars off of each box of crackers. Diana bought 2 boxes of crackers for 4.50 c dollars each. She also bought 8 cans of soup for s dollars each. The total amount, in dollars, she spent on the cans of soup and boxes of crackers is represented by the expression below. 2(4.50 c) +8s Which expression also represents the total amount, in dollars, she spent? a. 6.50 - 2c + 8s b. 6.50 2c + 10s c. 9 - c + 8s d. 9-2c + 8s

If you want to earn $950.00 of simple interest at a rate of 7% in a span of 9 months, how much money must you invest? (Round your answer to two decimal places.) You would need to invest

Multiply and simplify completely: (x + 2)(x − 2)

Give the measure of the supplement of the angle. (180-y)° The supplement of the angle (180-y)° is

The power rule for logarithms states that The logarithm of a number with an exponent is the Points: 0 of 1 of the exponent and the logarithm of that number.

Angle x lies in the first quadrant such that cosx = 3/5the second quadrant such that siny = 7/25. Determine an exact value for cos (x - y).

The two Soup cans are similar. The large can has a height of 4 in in the smaller can has a height of 3 inches. Find the area of the smaller can give in the larger can has an area of 108 in squared. Round your answer to the hundredths of an inch.

Misu Sheet, owner of the Bedspread Shop, knows his customers will pay no more than $135 for a comforter. Misu wants a 20% markup on cost instead of on selling price. What is Misu's cost? (Round your answer to the nearest cent.)

Find all zeros of f(x) = x³ - 9x² + 22x - 10. Enter the zeros separated by commas. Enter exact value, not decimal approximations.

Graph the set {x|x≤4) on the number line. Then, write the set using interval notation.

Suppose that $2000 is invested at a rate of 4%, compounded annually. Assuming that no withdrawals are made, find the total amount after 9 years. Do not round any intermediate computations, and round your answer to the nearest cent.

A man is disabled in an accident and wants to receive an insurance payment that will provide him with $2900 at the end of each month for 20 years. If the payment can be placed in an account that pays 9% compounded monthly, what size payment should he seek? He should seek a payment of $ (Simplify your answer. Round to the nearest cent as needed.)

A rectangle is drawn so the width is 31 inches longer than the height. If the rectangle's diagonal measurement is 41 inches, find the height. Give your answer rounded to 1 decimal place.

The patient is using 2 devices to measure his heart rate as he runs. After 15 minutes of running, one device displays 90 bpm. The other device displays 100 bpm after 15 minutes of running.

Phillippe wants to drink at least 72 ounces of water every day while at work. He works 6 hours a day. How many ounces of water must Phillippe drink each hour? Write and solve an inequality to answer the question

Select the correct answer from each drop-down menu. Consider this expression. 3/x-2 + x-2/x- 4x+4 The simplest form of the expression has in the numerator and in the denominator.

If C=t-5 and B = t² + 2, find an expression that equals 2C + 2B in standard form.

The formula for the future value Q of a simple interest investment is Q=M + Mrt, where M is the original investment, r is the annual interest rate, and t is the time in years. Solve this formula for t.

A 24-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces. What is the length of the first piece? What is the length of the second piece?

When an object is dropped from a 1520 ft tower, the height of the object in feet after t seconds is given by the function f(t) = -16² +1520. Find the height of the object after 5 seconds. The height of the object after 5 seconds is feet.

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95% salt. She wants to obtain 70 ounces of a mixture that is 90% salt. How many ounces of each solution should she use?

Which of the following fractions is the largest? a. 2/3 b. 1/2 c. 4/9 d. 3/7

A problem states: "There are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How many bats are there in the dugout?" Let b represent the number of bats. Which equation represents the situation? 2(b + 3) = 15 26 - 3 15 2b +3= 15 b+3= 15

A piece of equipment has cost function C(x)= 50x² + 1000 and its revenue function is R(x) = 500x- x², where x is in thousands of items. What is the least number of items that must be sold in order to break even?

The mean height of American women in their twenties is about 63.8 inches, and standard deviation is about 3.1 inches. The mean height of men the same age is about 68.9, with standard deviation about 3.6 inches. Suppose that the correlation between the height of husbands and wives is about r = 0.56. Find the least-squares regression line of wife's height on the husband's height in young couples. slope = y-intercept = Write your answer in 2 decimals. Write your answer in whole number.

Enter your answer in the provided box. How many grams of potassium chlorate decompose to potassium chloride and 727 mL of O₂ at 128°C and 756 torr? 2 KCIO3(s) → 2 KCl(s) + 3 0₂ (g)

Tiffany received a box of chocolates in the shape of a T for her birthday. She knows the volume of the box is 100 cubic inches. The volume of the horizontal part of the T is 36 cubi inches. She knows the length of the vertical par of the T is 8 inches and that the width is 2 inches, but does not know the height. Help Tiffany determine the height of the vertical par of the T-shaped box of chocolates she received

A population numbers 10,000 organisms initially and decreases by 4.1% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = ab, where P=

Going against the current, a boat takes & hours to make a 120-mile trip. When the boat travels with the current on the return trip, it takes 5 hours What is the rate of the boat in still water? 33 mph 02 mph. 20

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.

A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in diameter. What is the area of the label that needs to be printed to go around the new container? Use = 3.14. A. 176.625 In² B. 120.65 In² C. 182.6 In² D. 141.3 In²

Find the slope of the line passing through the points (0, - 8) and (13, 12).

Solve the system by the method of your choice. x=9y-4 -3x+27y=12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is exactly one solution. The solution set is. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. The solution set is {(x,y)| x=9y-4} or {(x,y) - 3x + 27y=12}. C. The solution set is Ø.

Order the following rational numbers from least to greatest. 1/4,-1.25,-3/4, 0.5, 1, –3/2

Quadrilateral ABCD has vertices A(−2, 1), B(4,4), C(5,0), and D(-1,-2). Which side is the longest? CD DA AB BC

Write the given interval as an inequality involving x, and illustrate the interval using the real number line. [7,9] Use an inequality involving x to to express the interval. What is the resulting inequality?

Write an equation that expresses the relationship. Then solve the equation for f. q varies jointly as f and the square of v. q= (Use k as the constant of variation.)

Determine the end behavior for function f(x) = (x2 + 1)² (2x - 3) As x→∞o, f(x) →∞ and as x-co, f(x)→-00 As x→∞o, f(x) and as x-∞, f(x) → - As x→∞o, f(x) and as x-∞, f(x) →∞ As x→∞o, f(x) - and as x-∞o, f(x) →∞

A worker drops a hammer from a height of 784 feet. The height of the hammer, in feet, at t seconds is given by s(t) = -16t² + 784. a) What is the average velocity of the hammer between 2 and 6 seconds? b) What is the instantaneous velocity of the hammer at 5 seconds? c) After how many seconds will the hammer hit the ground? d) What is the instantaneous velocity of the hammer as it hits the ground?

In an office building, 91 offices are currently being rented. This represents 70% of the total units. How many offices are there in the building? There are offices in the building.

Explain the Error Jane and Jill were simplifying the expression (2x² + x) + 2(x² + x) and obtained different answers. Who is correct and why?

Create a frequency chart of the data below using 2 - 4 as your first interval: 5, 3, 8, 4, 2, 5, 6, 2, 7, 4, 9, 10, 3 What's the frequency for data values 5 - 7? A. 4 C. 3 B. 6 D. none of the above

Bonus: Rangeview High School has 1,160 students and is growing by 22 students each year. Hinkley High School has 1,900 students and is shrinking by 15 students each year. When will RHS and HHS have the same number of students? You MUST write two equations and solve them for FULL credit! Don't forget to put a label on your answer!

Graph the system of inequalities. Then find the coordinates of the vertex. y<x y>4-x Use the graphing tool on the right to graph the system of inequalities. What are the coordinates of the vertex?