Basic Math Questions and Answers

Select the correct answer. The length, that a spring is stretched varies directly as the amount of force, F. applied to the end of the spring. When a force of 10 pounds is applied to a spring, it stretches 3 inches. How much will the same spring stretch if the force is increased to 15 pounds? A. 8 inches B. 7.5 inches C. 4.5 inches D. 2 inches

When the volume of a gas is changed from 3.6 L to 15.5 L, the temperature will change from °C to 87°C.

A model of a car is built with a scale of. 1 inch 4 feet. If the length of the model car is 2.7 inches, then the length of the actual car is ft.

Type the correct answer in the box. The measure of angle θ is 5π/6. The equivalent measurement in degrees is

Blue River is 212 miles long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?

A package of twelve eggs costs $5. At this price, how much does each individual egg cost? (Round to the nearest cent.) A. $0.42 B. $1.24 C. $2.40 D. none of the above

Sally lives in City A and works for the department of transportation. She needs to inspect the weigh stations in each of three cities other than City A. In how many ways can she reach each of these cities and return to her home in City A?

Which of the following sets could be the sides of a right triangle? (2,3,√13) (2, 2, 4) (1, 3, √3)

Question 5 of 25 Solve 4(x-7)+ 10 = -10. A. x = 3 B. x = 2 C. x = 4 D. x = 1

Tyler drew a figure that has two pairs of equal sides, four angles formed by perpendicular lines, and two pairs of parallel sides. What geometric term best describes the figure Tyler drew? A. Parallelogram B. Rhombus C. Rectangle D. Trapezoid

Solve 3x + 4(x + 6) = 45. A. x = 7 B. x = 6 C. x = 5 D. x = 3

A study concludes that 15 percent of all college students attend a gym class. Which of the following statements is true? 15 percent is a parameter. 15 percent is an ordinal measurement. 15 percent is categorical data. 15 percent is a statistic.

Alfredo bought a fishing pole for 60% off its original price of $97. If the tax was 4% (of the sale price), how much did Alfredo pay for the fishing pole?

(11.2) Determine if each of the following is a parameter or a statistic. a) A survey of all employees at a company found that the mean one-way daily commute to work of the employees is 25.5 minutes. b) A car dealer has 1,600 cars on its lot and a sample of 25 cars is chosen. The dealer calculates the mean weight of those 25 cars. What does the mean represent?

A map's scale is 1 inch : 2.4 miles. The map shows an airport that is 5 inches away from a city. How far away is the airport actually from the city?

A space shuttle is made using a scale of 1 inch : 12 feet. If the actual space shuttle has a height of 84 feet, then the model is inches tall.

(11.5) In a survey of 42 U.S. children, 72% said they plan to complete a summer reading list this year. Give an interval that is likely to contain the exact percent of all U.S. children who plan to complete a summer reading list this year. Round to the nearest tenth of a percent. It is likely that the exact percent is between % and %.

A map's scale is 1 inch : 3.5 miles. If the actual distance between two places is 77 miles, then they will be__________ inches away from each other on the map.

If you borrow $400 for 3 years at an annual interest rate of 4%, how much will you pay altogether?

At work, Chris used 117 inches of tape to seal 9 boxes for shipping. The equation x/15 = 117/9 can be used to determine how many inches of tape, x, it will take him to seal 15 boxes. How many inches of tape will Chris need to seal 15 boxes for shipping? A) 182 hours B) 195 inches C) 208 inches D) 225 inches

Which two consecutive whole numbers does √39 lie between? Why? 5 and 6 because 39 falls between 5² =25 and 6² = 36. 4 and 6 because 39 falls between 4² = 16 and 6² = 36. 6 and 7 because 39 falls between 6² = 36 and 7² = 49. 5 and 7 because 39 falls between 5² = 25 and 7² = 49.

On a map, the scale shown is 1 inch : 5 miles. If an island is 2.5 square inches on the map, what is the actual area of the island? The actual island's area is square miles.

ΔABC is located in Quadrant I. Point A is 5 units to the right of the line of reflection. If ΔA'B'C' is the image created by reflection, where is A' relative to the line of reflection? A. 0 units away, directly on the line of reflection B. 2.5 units to the left C. 5 units to the left D. 10 units to the right

Jan is looking at a map of Roaring River. The map was created using the scale 1 inch : 25 miles. If the river is 5.5 inches long on the map, then it is actually miles long.

Alexandra owns a small business selling bagels. She knows that in the last week 95 customers paid cash, 4 customers used a debit card, and 31 customers used a credit car. Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.

Members of a school sports team are raising money by selling custom water bottles at school activities. They plan to sell each bottle for $11. Each bottle costs them $4. They spend $40 for advertising. Use n to represent the number of bottles they sell. Multiply this by the money they make for each bottle, then subtract the advertising cost. Which expression represents the money that the group raises? A. (11-4)n - 40 B. 11n - 4 - 40 C. 40 - (11 - 4) n D. 11 - 4n - 40

What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12? 13 17 15

A gas that exerts a pressure of 215 torr in a container with a volume of 51.0 mL will exert a pressure of torr when transferred to a container with a volume of 18.5 mL.

On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map? The city's area is square inches on the map. (Do NOT round your answer.)

Postcards cost $2.50 for six. What's the price for 1 postcard? A. $7.10 C. $0.42 B. $6.25 D. none of the above

12a^3p^4 ÷ -2a^2p -6a^3p^5 -24ap^3 -6ap^3 6a^5p^3

The milligrams of aspirin in a person's body is given by the equation a = 500 (3/4)^t, where t is the number of hours since the patient took the medicine. a. How much aspirin will be in the patient's body after two hours? b. In the equation, what does the 500 tell us about the situation? c. In the equation, what does the % tell us about the situation? d. Graph the equation for values of t between 0 and 4.

Evaluate each logarithm. Round to the nearest thousandth when necessary. (Use a calculator for "log" and "In." If the log as a base number, use the Change of Base Formula: loga c= logc/loga 9) log 17 10) In 0.5 11) log3 4

A blueprint of a house shows a living room that is 15 square inches. If the blueprint's scale is 1 inch : 4 feet, what is the actual square footage of the living room space? square feet

If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply. Triangle LMN is an obtuse triangle. The angle at vertex L is acute. The angle at vertex L is right. The angle at vertex N is right. The angle at vertex N is acute. Triangle LMN is a right triangle.

Imagine a very large connected graph that has 650 even vertices and no odd vertices. a) Does an Euler path exist for this graph? Explain. b) Does an Euler circuit exist for this graph? Explain. a) Choose the correct answer below. A. Yes. There are no odd vertices. B. Yes. The graph is sufficiently large that an Euler path will exist regardless of the number of even and odd vertices. C. No. There are too many even vertices for an Euler path to exist regardless of the number of odd vertices. D. Yes. There are sufficiently many even vertices that an Euler path will exist regardless of the number of odd vertices. E. No. The graph is too large for an Euler path to exist regardless of the number of even or odd vertices. F. No. There are no odd vertices.

Amy wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 44 feet. Suppose each can of paint will cover 242 square feet. How many cans will she need to paint the ceiling?

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