Basic Math Questions and Answers

A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did Angela pay for the couch?

Matthew purchased a desk that was on sale for 45% off the original price of $480. If the sales tax was 8% (of the sale price), how much did Matthew spend on the desk?

Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies. How many bags of flour does it take to make 3 batches of the cookies? Simplify your answer completely.

When 2 grams of Helium are added to a weather balloon, its volume is 8.0 L. If the pressure and temperature do not change, and 1 more gram is added, what is the final volume of the balloon?

A gas that exerts a pressure of 537 torr in a container with a volume of 5.30 L will exert a pressure of 255 torr when transferred to a container with a volume of L.

When the volume of a gas is changed from 800.0 cm³ to 400.0 cm3, the temperature will change from 115°C to °C.

Mia works at a bakery. Mia prepared 10 kg of dough after working 2 hours. How many kilograms (x) of dough did Mia prepare if she worked for 9 hours? Assume the relationship is directly proportional. A) 45 kg B) 50 kg C) 55 kg D) 60 kg

Find the scale factor that was used to change the Original (O) to the Scaled Image (S). S 7.8" O 2.6" A. 3 B. 0.33 C. 2.8 D. 5.2

In a 30-60-90 triangle how do we go from the longer leg to the shorter leg? * divide by the square root of 2 multiply by the square root of 2 multiplyby the square root of 3 divide by the square root of 3

An organization will give a prize to a local artist. The artist will be randomly chosen from among 6 painters, 2 sculptors, and 9 photographers. What is the probability that the artist chosen will be a painter or a sculptor? Write your answer as a fraction in simplest form.

A couple needs to get a loan of $5,000 and has to choose between three options. Option A: 21% compounded quarterly Option B: 3% compounded every 4 months Option C: 4-1% compounded semi-annually If they make no payments for 5 years, which option will give them the least amount owed after 5 years? Use a mathematical model for each option to explain your choice.

Tara has 19 feet of yarn. She is making friendship bracelets that each need 1/2 of a foot of yarn. How many bracelets can Tara make? A.9 1/2 B.10 C.18 1/2 D. 38

A ticket to the state fair cost $15. The equation y = 15x relates the total cost of tickets (y) to the number of tickets purchased (x). Identify the unit rate in the equation. x y 15 15x

Davis can read 4/5 of a page in one minute. How many pages can he read in 4 1/2 minutes? Simplify your answer completely.

Cory can eat 21 boiled eggs in 6 minutes. He wants to know how many minutes (m) it would take him to eat 35 boiled eggs if he can keep the same pace. How many minutes would Corey need to eat 35 boiled eggs? 8 minutes 9 minutes 10 minutes 12 minutes

Two fishermen go ice fishing one morning. By noon, Fisherman Bob has 6 fish and is catching 2 fish per hour. Fisherman Bill has 4 fish and is catching 3 fish per hour. Assume they will continue catching fish at the same rate. 1. Write a system of equations that relates the time to the total fish caught. 2. Algebraically solve the system of equations. At what time will they have the same number of fish?

When the pressure that a gas exerts on a sealed container changes from 53.0 bar to 35.2 bar, the temperature changes from .... °C to 12.0°C.

Identify the type of observational study described. A researcher plans to obtain survival rate data for patients whose cancer has gone into remission by following them for the next five years. prospective retrospective cross-sectional

Sarah purchased a manufacturing machine worth $30,000 for her factory. The value of the machine decreases every year by $1,250. Which explicit equation represents the value, v, of the machine t years after the purchase? v = 30,000t - 1,250 v = 30,000 -1,250t v = 30,000 -1,250-t v = 30,000 -1,250+t

The first term in a sequence is -18, and each term after the first is 4 times the preceding term, Which of the following recursive functions defines the sequence described above? A. f(1) = -18 f(n)=4f(n-1),n> 1 B.f(1) = -18 f(n)=4+ f(n-1),n> 1 C.f(1) = -18 f(n)=4f(n+1),n> 1 D.f(1) = -18 f(n)=4+ f(n+1),n> 1

Solve, using a proportion. If Joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed? ..... miles

Solve, using a proportion. If 4 quarts fill 16 cups, then 6 quarts will fill .... cups.

Mike pays $20 per hour for algebra tutoring. The equation y=20x relates the cost of tutoring (y) to the number of hours (x) he is tutored. Identify the unit rate in the equation. x y 20 20x

When the volume of a gas is changed from 11.5 cm³ to ...... cm3, the temperature will change from 415.0 K to 200.0 K.

Draw the polygon whose vertices are (3, 1), (3, 7), (-2, 3), and (-2, -3). Then choose the best description of the polygon from the choices below. Triangle Rectangle Parallelogram None of these

A gas that exerts a pressure of 14 bar in a container with a volume of 312 mL will exert a pressure of ........ when transferred to a container with a volume of 652 mL. bar

Tammy deposited $3000 into an account with a 5.6% annual interest rate, compounded semiannually. Assuming that no withdrawals are made, how long will it take for the Investment to grow to $45397 Do not round any intermediate computations, and round your answer to the nearest hundredth.

1. What type of action do progressive verbs show? A. Continuous B. Future C. Present perfect D. Singular

Kyndal wants to buy a lamp that originally cost $82, but went on sale for 20% off. The store is having an additional sale that is 40% off the sale price. What is the price of the lamp?

Sydney described a ruler as a length of plastic that starts at 0 and continues on to 12 inches. The geometric term that best describes Sydney's description is a

A radioactive substance decays according to the following function, where yo is the initial amount present, and y is the amount present at time t (in days). y= y0e^-0.092t Find the half-life of this substance. Do not round any intermediate computations, and round your answer to the nearest tenth.

Use the Change of Base Formula to evaluate logs 92. Then convert logs 92 to a logarithm in base 3. Round to the nearest thousandth. 4.522; log3 21.903 2.810; log3 55.2 1.964; log3 55.2 2.810; log; 21.903

The following is given in recursive form. a1=8 an=2a-1 +5, for n ≥ 2 What is the value of the third term of this sequence? Type your answer into the box below.

Suppose a plane flies 48 miles in 12 minutes. The relationship between miles flown, x, and minutes flown, y, by the plane can represented by the equation y = 1/4x. How far will the plane fly in 28 minutes? A) 112 miles B) 116 miles C) 120 miles D) 124 miles

Kala needs $4300 for a future project. She can Invest $2000 now at an annual rate of 10%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for her to have enough money for her project? Do not round any Intermediate computations, and round your answer to the nearest hundredth.

25% of the students attended the school dance. If 32 attended the dance, how many students are there in all? A. 128 C. 16 B. 8 D. 140

Express the set using the roster method. {x|X ∈ N and 25<x< 90} Choose the correct answer below. A. Ø B. {26, 27, 28, 29, ..., 89} C. {25, 26, 27, 28, ..., 90} D. {..., 23, 24, 25, 90, 91, 92, ...}

For the real-valued functions f(x)=√(5x+30) and g(x)=x-3, find the composition fog and specify its domain using interval notation.

Casey took a total of 12 quizzes over the course of 3 weeks. After attending 5 weeks of school, how many quizzes (q) will Casey have taken in total? Assume the relationship is directly proportional. A)18 B)20 C)22 D)24

Marla made $42 babysitting for 5 hours. How much money did she make each hour? A. $8.40 C. $1.90 B. $8.10 D. $11.90

What is the volume of a sphere with a diameter of 49.3 cm, rounded to the nearest tenth of a cubic centimeter?

"Payah kun," said the Eldest Magician, meaning, "That is quite right"; and he breathed upon the great rocks and lumps of earth that All-the-Elephant-there-was had thrown up, and they became the great Himalayan Mountains, and you can look them out on the map.... Then the Moon rose big and full over the water, and the Eldest Magician said to the hunchbacked old man who sits in the Moon spinning a fishing-line with which he hopes one day to catch the world, "Ho! Fisher of the Moon, are you playing with the Sea?" -"The Crab That Played with the Sea," Rudyard Kipling How does the use of imagery create meaning? The imagery emphasizes the compassion and authority of the Eldest Magician. The imagery explains how the animals are responsible for creating nature. The imagery reveals the power that the old man has over the moon. The imagery highlights the importance of earth, Moon, and Sea.

Define Euler's Constant and provide its numerical value and what is it also known as (not gamma which is the symbol). Definition: Numerical value (decimal format, 1st 8 numbers):

A designer builds a model of a canoe. The finished model is exactly the same shape as the original, but smaller. The scale factor is 3:11. (a) Find the ratio of the height of the model to the height of the original. (b) Find the ratio of the volume of the model to the volume of the original. (c) Find the ratio of the surface area of the model to the surface area of the original. Write these ratios in the format m:n.

inding the Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2400 bacteria selected from this population reached the size of 2556 bacteria in two hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

When the volume of a gas is changed from 986 mL to mL, the temperature will change from 765 K to 315 K.

A line segment of length is scaled by a factor of 1.5 to produce a segment with length m. The new segment is then scaled by a factor of 1.5 to give a segment of length n. What scale factor takes the segment of length to the segment of length n? Explain your reasoning.

At Marcy's Department Store, all dresses are 40% off. If the regular price of a dress is $85, what is the sale price? A. $51.00 C. $45.00 B. $40.00 D. $58.00

A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma. The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime. What is the problem with reporting results this way? loaded question voluntary response correlation and causality missing data

Suppose that $2900 is Initially Invested in an account at a fixed Interest rate, compounded continuously. Suppose also that, after two and a half years, the amount of money in the account is $3098. Find the Interest rate per year. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.