Basic Math Questions and Answers

You borrow $500 from a friend and offer to pay it back in two months at 6% simple interest. How much interest will you pay?

If y is 2.5 when x is 5 and y varies directly with x, find y when x is 14. 12.5 7 28 7.5

Find the volume of the cone. Diameter: 10 m, Height: 10 m Round to the nearest whole number. Volume = [?] m³

Beverley has quarters and dimes in her pocket. She has 21 coins with a total value of $3.00. How many of each type of coin does she have? [?] quarters [] dimes Enter the number that belongs in the green box.

Which of the following is not a prime number? Enter a, b, c, d, or e. a. 49 b. 2 C. 67 d. 17 e. 53

What is the distance between the points (-6, -2) and (2, 4)? 10 2 √10 2 √5 4 √5

Plot the intercepts to graph the equation. x + 2y = 2 Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

Give the following number in Base 10. 62 8 = [?]10 Enter the number that belongs in the green box.

Find the volume of the cone. Diameter: 20 m, Slant Height: 26 m Round to the nearest whole number. Volume = [?] m³

A bottle of soda contains 350 mL. a) How many milliliters are contained in a six-bottle carton? b) How many liters does the amount in part (a) equal? c) At $2.25 for the carton of soda, what is its cost per liter? a) There are .... milliliters of soda in a six-bottle carton.

Certain birth defects and syndromes are polygenetic in nature. Typically, the chance that an offspring will be born with a polygenetic affliction is small. However, once an offspring is born with the affliction, the probability that future offspring of the same parents will be born with the same affliction increases. Let's assume that the probability of a child being born with affliction A is 0.005. If a child is born with this affliction, the probability of a future child being born with the same affliction becomes 0.03. Are the events of the births of two children in the same family with affliction A independent? Yes No A couple plans to have one child. Determine the probability that the child will be born with this affliction. 0.005 (Type an integer or a decimal.) Another couple plans to have two children. Determine the probability that both children will be born with the affliction. 0.00015 (Type an integer or a decimal.) Determine the probability that the first will be born with the affliction and the second will not. 0.00485 (Type an integer or a decimal.) Determine the probabilily that the first will not be born with the affliction and the second will. 0.004975 (Type an integer or a decimal) Determine the probabilily that neither will be born with the affliction. (Type an integer or a decimal.)

Red and blue ceramic tiles are laid according to a pattern such that for every 16 red tiles used, 9 blue tiles are used. If a total of 300 tiles are used, how many of them are blue?

There are 5 different math books, 1 social studies book, and 2 different science books on the shelf. How many different ways can the books be arranged?

Diane has quarters, dimes, and pennies in her pocket. The value of her money is $1.55. There are 4 more dimes than quarters and the number of pennies equals the sum of the number of quarters and dimes. How many pennies does Diane have? [?] pennies

After the govermnent takes a census, it is determined that the population of a country is 52% female. 52% is an example of a(n). parameter statistic population sample

There are 18 different drinks for a graduation. Sandra randomly selects 6. How many different combinations are there?

A house worth $120,000 is in an area where real estate is increasing in value at the rate of 8% per year. How much will the house be worth in 1 year?

Two cylinders are similar. The volume of one is 64 cm³, and the volume of the other is 729 cm³. Find the scale factor between them. Enter the smaller number first. scale factor = [?]:[ ]

A bag has 45 yellow, green, and blue jellybeans. 2/5 of the jellybeans are green and 1/3 are blue. How many yellow jellybeans are there?

Which sampling method is least likely to have bias? Random sampling Convenience sampling Systematic sampling Voluntary response sampling

The point A (-5, -2) is reflected over the line y=-1, and then is reflected over the line x = 3. What are the coordinates of A'? (11,0) (3,8) (3,-2) (-5,4)

Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0. 4/3 -3/4 3/4

Find the surface area of a cylinder whose radius is 1.2 mm and whose height is 2 mm. Round to the nearest tenth. [?] mm²

Given the following inequality: 12x+3y < 24 Explain in a minimum of 3 sentences how you get the following information from the Inequality: x-intercept, y-intercept, slope-intercept form of the Inequality, If It would be a dashed or solid line, and if It would be shaded above or below the line.

The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and describe the transformation verbally. Write an equation for the given graph. Absolute value function g(x) = |x| Describe the transformation verbally. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type whole numbers.) A. The graph is reflected in the x-axis and shifted B. The graph is shifted unit(s) down. C. The graph is reflected in the x-axis and shifted D. The graph is shifted unit(s) to the right and unit(s) up. unit(s) to the left and unit(s) down. unit(s) down.

Jon starts out on a trip at 50 mph. If 20 minutes later, Joel starts out on the same route at 65 mph, how long will it take Joel to overtake Jon? [?] hours. Round to the nearest hour.

y=2x+1 5y-7x=11 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is B. There are infinitely many solutions. C. There is no solution. (Simplify your answer. Type an ordered pair.)

Josh is able to get to work in 25 minutes if he travels at a rate of 60 mph. How far does Josh travel to work? [?] miles

The data below shows the number of TV's sold by each sales person. 26 7 12 33 5 8 21 Find the mean.

Consider a collection of envelopes consisting of 2 red envelopes, 3 blue envelopes, 3 green envelopes, and 2 yellow envelopes. If three envelopes are selected at random, without replacement, determine the probability that they are all green envelopes. The probability that all of the envelopes are green is (Type an integer or a simplified fraction.)

Under certain air conditions, the air temperature drops about 3.3°F for each 1,000-foot rise in altitude. Complete parts (A) and (B) below. (A) If the temperature at sea level is 59°F, write a linear equation that expresses temperature T in terms of altitude A in thousands of feet. (B) At what altitude is the temperature 22.7°F?. (A) If the temperature at sea level is 59°F, write a linear equation that expresses temperature T in terms of altitude A in thousands of feet. (Type your answer in slope-intercept form.)

The store is selling lemons at $0.60 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 230 minutes, the monthly cost will be $102.5. If the customer uses 760 minutes, the monthly cost will be $288. A) Find an equation in the form y = mx +b, where is the number of monthly minutes used and y is the total monthly of the Splint plan. Answer: y = B) Use your equation to find the total monthly cost if 973 minutes are used. Answer: If 973 minutes are used, the total cost will be dollars.

Use the interval 25-30% to find the monetary range that is recommended for the monthly rental budget in each situation. Round to the nearest dollar. a. Mark makes $86,000 per year. b. Linda makes $7,000 per month. c. Meghan makes $1,500 per week.

A sample of size n = 10 is drawn from a population. The data is shown below. 132.2 132.2 99.3 132.2 110.8 118.4 104.1 103.3 116.8 123.3 What is the range of this data set? range = What is the standard deviation of this data set? (Round to 2 decimal places) stdev = Question Help: Video Merca

You want to buy a new car. You can afford payments of $475 per month and can borrow the money at an interest rate of 4.6% compounded monthly for 5 years. How much are you able to borrow? How much interest do you pay? $

With order not being a concern, how many different ways can 5 items be selected from 17?

You want to buy a $202,000 home. You plan to pay 15% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be? $ b) What will your monthly payments be if the interest rate is 6%? $ c) What will your monthly payments be if the interest rate is 7%? $

The current student population of a town is 1500. If the population decreases at a rate of 15.1% each year, what will the student population be in 6 years? Round your answer to the nearest whole number.

You can afford a $900 per month mortgage payment. You've found a 30 year loan at 6% interest. a) How big of a loan can you afford? b) How much total money will you pay the loan company? c) How much of that money is interest?

The probability of winning a two-spot Keno game is 0.0601. What is the probability of losing the game?

Suppose that 31% of students in a college have a smart phone. If you select three students at random, what is the probability that all three have a smart phone?

Starting in the year 2019, the number of speeding tickets issued each year in Middletown is predicted to grow according to an exponential growth model. During the year 2019, Middletown issued 400 speeding tickets (Po= 400). Every year thereafter, the number of speeding tickets issued is predicted to grow by 5%. The explicit formula for Pn is Pn" . Use the key for the exponent .

You deposit $1000 each year into an account earning 5% interest compounded annually. How much will you have in the account in 30 years?

Using Euler's formula, how many edges does a polyhedron with 7 faces and 10 vertices have? Euler's Formula: F + V = E + 2

A company has received applications from 15 candidates who seem to be equally qualified. If the company manager randomly selects 3 candidates from the 15, how many different combinations are possible?

Sarah's English assignment is to read 80 pages. She has read of the assignment. How many pages does she have left to read?

Find the height of a pyramid with a volume of 128 cm³ if the base is a square with a side length of 8 cm.

A car rental company offers two plans for renting a car. Plan A: 25 dollars per day and 13 cents per mile Plan B: 60 dollars per day with free unlimited mileage What inequality represents the situation where plan B save you money compared to plan A? Put the expression for Plan A on the left and the expression for Plan B on the right. Use m to represent the number of miles the rental car is driven. Solve the inequality and give the answer as an interval Give your answer accurate to one decimal place

You want to buy a $231,000 home. You plan to pay 15% as a down payment, and take out a 30 year loan for the rest. What will your monthly payments be if the interest rate is 6%?