Basic Math Questions and Answers

A store sells cashews for $6.00 per pound and peanuts for $3.00 per pound. The manager decides to mix 20 pounds of peanuts with some cashews and sell the mixture for $4.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately? There should be pounds of cashews in the mixture. (Type an integer or a decimal.)

A wireless store owner takes presale orders for a new smartphone and tablet. He gets 160 preorders for the smartphone and 190 orders for the tablet. The combined sale of the preorders is $181,250. If the price of a smartphone and a tablet together is $1,055, find the cost of one smartphone and the cost of one tablet. What is the cost of one smartphone? What is the cost of one tablet?

A landscaping company charges $40 per cubic yard of mulch plus a delivery charge of $29. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch. C(x) =

Gordon has paper strips that are all equal in length. He lines them up end to end. When the line of paper strips is 3 feet long, Gordon says there are 12 paper strips. What is the length, in feet, of one paper strip if Gordon is correct?

In a Northwest Georgia County, the speed limit is 35 miles per hour. The speeding fines are determined by the formula: F(s) = 8(s 35) + 95 where F(s) is the cost, in dollars, of the fine if a person is caught driving at a speed of s miles per hour. If a fine comes to $303, how fast in mph was the person driving?

A group of scientists is studying Streptococcus lactis, which is used in the production of cheese. The initial population for a colony of bacteria is 15,000, and the population can double every 50 minutes under certain conditions. Which graph represents the bacteria's population as a function of time, in minutes? (1 point)

New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 6 buses with 324 students. High School B rented and filled 9 vans and 3 buses with 264 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

The midpoint of AB is at (-1, -1). If A = (9,5), find B. B is:(

A solution is prepared by disserving 15.0 g of NH3 in 250.0 g of water. The density of the resulting solution is 0.974 g/mL. The molarity of NH3 in the solution is M. A) 0.00353 B) 0.882 C) 60.0 D) 3.24 E) 3.53

The number of girls varied directly as the number of boys and inversely as the number of teachers. When there were 50 girls, there were 20 teachers and 10 boys. How many boys were there when there were 10 girls and 100 teachers?

The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to find the population after t years? P= 10,000(0.2)t P = 10,000(1.8)t P = 10,000(0.8)t P= 10,000(1.2)t

William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $4,000 for their reception. If the reception hall charges a $80 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.

Kyle spent more than 37 minutes swimming last night. Which of the following amounts of time could Kyle have been swimming? Select all that apply. Choose all that apply: 2350 seconds 2050 seconds 2250 seconds 2150 seconds

[8 points] Suppose you have invested $2200 at an APR of 3%. Use the Rule of 72 to estimate how long it will be until your investment reaches $4400. It will take approximately Select- years for the investment to reach $4400.

A concrete pillar has the shape of a cylinder. It has a diameter of 8 meters and a height of 6 meters. If concrete costs $106 per cubic meter, how much did the concrete cost for the pillar?

What is the freezing point (°C) of a solution prepared by dissolving 11.3 g of Ca(NO3)2 in 115 g of water? The molal freezing point depression constant for water is (Assume 100% ionization of Ca(NO3)2.) A)-3.34 B) -1.11 C) 3.34 D) 1.11 E) 0.0 B)-1.11 C) 3.34 E) 0.00 A)-3.34 D) 1.11

Which condition makes the statement below false? "If I have an alibi, then I am innocent" Hint: When is a conditional false? I do not have an alibi and I am not innocent I have an alibi and I am not innocent I have an alibi or I am innocent I do not have an alibi or I am innocent

Which segment does not belong with the other three? Explain your reasoning. radius: It is smaller than the other segments. diameter; It is the only segment through the center. tangent, It is the only segment outside the circle. chord; It is the only segment with endpoints on the circle.

The student population in the Greenville school system is increasing about 10% each year. This year there are 3120 students in the Greenville school system. If this trend continues, which of the following is closest to the number of students who will be in this school system 3 years from now? 3400 4000 4200 9400

Air Transportation: A standard M-6 air cargo container is 19.8 feet long, 7 feet wide and 7.3 feet tall. For the purposes of this project, when it is completely filled each container can hold up to 21,500 cellphones, and the transportation cost is $24,000 per container. How much will it cost per cellphone to use this mode of transportation?

A recreational softball league is considering some rule changes. In order to know how the players feel, league officials sent out a survey by email to all the players in the league. What type of sampling method did the league use? Self-selected Stratified Systematic Cluster

A pyramid shaped building is 837 ft tall with a square base that is 156 ft on each side. What is the volume of the pyramid?

John invests $2800 into an investment account described by the equation A = 2800 (e-07-t). If interest is compounded continuously, how much is in his investment account at the end of 5 years? (Round to the nearest penny)

William spends $2,500 on a bedroom furniture set on a store credit account. If he is not required to make payments for three years, but the interest is compounded yearly at 8.5%, how much interest will he owe after 3 years? $2,508.50 $693.22 $212.50

A laptop computer is purchased for $1050. After each year, the resale value decreases by 25%. What will the resale value be after 5 years? Use the calculator provided and round your answer to the nearest dollar. $0 X

Use the given circumference to find the surface area of the spherical object. a pincushion with C = 24 cm The surface area of the pincushion is cm².

A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5.25. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 25% and the price of coffee will go up 35%. After the increase, the total price of the purchase will be $5.74, and a fruit bowl will cost 3 times as much as a croissant. F

Mrs. Travis wants to have a clown deliver balloons to her secretary's office. Clowns R. Fun charges $1.25 per balloon and $6 delivery. Singing Balloons charges $1.95 per balloon and $2 for delivery. What is the minimum number of balloons Mrs. Travis needs to purchase in order for Clowns R Fun to have a lower price than Singing Balloons?

The circumference of a circular field is 273.18 yards. What is the radius of the field?

Based on past experience, a building contractor sets the probability of winning a contract is 30%. The contract is worth $25,000 and the cost to prepare the contract proposal is $2,400. What is the expected value of the contract proposal? $5,100 $6,780 -$5,100 $22,600

The formula v= √2.5r models the safe maximum speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of curvature at an exit ramp as 810 feet. What is the maximum safe speed? A. 81 miles per hour B. 50 miles per hour C. 42 miles per hour D. 45 miles per hour

Delaney and Erin both leave the college at the same time, but in opposite directions. If Erin travels 5 mph faster than Delaney and after 7 hours they are 203 miles apart, how fast is each traveling?

Given cot A = 9/2 and that angle A is in Quadrant I, find the exact value of sin A in simplest radical form using a rational denominator.

The total profit function P(x) for a company producing x thousand units is given by P(x) = 2x² + 40x- 168. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x) > 0.] A. x is greater than 6 thousand units B. x is between 6 thousand units and 14 thousand units C. x is less than 6 thousand units or greater than 14 thousand units D. x is less than 14 thousand units

A random sample of 159 full-grown lobsters had a mean weight of 18 ounces; the standard deviation of weights of all lobsters is thought to be σ = 2.8 ounces. Use this data to construct a 98 percent confidence interval for the population mean m of weights of all such lobsters.. 16.9 <m< 18.0 18.1 <m< 20 17.48 <m < 18.517 17.48 <m < 19.52

The quadratic function R(p) = -5.2p² +65p - 75 gives the amount of revenue R(p) in dollars generated by a product priced at p dollars. Question: At what price will the maximum revenue be generated?

Alice Coopersmith is moving to a new home. She can rent a 14-foot panel truck for $40.00 a day plus $0.26 a mile or an 18-foot truck for $55.00 a day plus $0.29 a mile. It would take 4 trips to make the move in the 14-foot truck, but only 3 trips in the larger truck. She estimates that gasoline would cost about $45.00 for either truck. A round-trip to her new home is 60 miles Regardless of the number of trips, she would need the truck for only 1 day. To save on expenses, which size truck should Coopersmith rent? How much would it cost per mile to rent each truck?

A college student launches a water balloon from the balcony of a building. The balloon's height off of the ground is a function of the amount of time after it is launched and is described by the equation h(t) = -16t² + 40t + 72 where t is time since launch in seconds and h(t) is the height in feet. Question: When will the balloon reach 60 feet above the ground? Enter your final answer rounded to the nearest tenth (one decimal place.) .Enter the correct units for your answer in the second box. IF there is no valid answer enter N/A in all blanks. Answer: The balloon reaches 60 feet after Why is there only one valid answer?

Select the correct answer. Consider functions fand g. f(x)= x-1/x2+x-1 g(x) = 3² - 2 Using a table of values, what is the approximate solution to the equation f(x)=g(x) to the nearest quarter of a unit?

The ratio of shirts to pants in Sara's closet is 5:2. Which best explains what that means? Sara has 5 shirts for every 2 pairs of pants in her closet Sara only has 7 items of clothing in her closet Sara has 5 more shirts than pants in her closet Sara has 5 pairs of pants for every 2 shirts

Lighthouse Master Olivia is atop her 300 ft lighthouse and spots a boat in the distance at an angle of depression of 18º. Along the same line of sight, she spots another boat at an angle of depression of 62º. How far are the boats from other? Round your answer to the nearest tenth. distance = ft.

Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits. In the last decade, Ni Hua went skydiving a total of 45 times in the 19 islands and peninsulas that he visited. How many islands and peninsulas did Ni Hua visit? Choose 1 answer: Ni Hua visited 12 islands and 7 peninsulas. Ni Hua visited 7 islands and 12 peninsulas. There is not enough information to determine the exact number of islands and peninsula Ni Hua visited. The given information describes an impossible situation.

A sandwich shop is ordering apples and grapes to make chicken salad. Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and paid $35.80, how many pounds of grapes did they order?

In Exercises 1-4, find the indicated measure. 1. radius of a circle with a circumference of 42π meters 2. circumference of a circle with a radius of 27 feet 3. circumference of a circle with a diameter of 15 inches 4. diameter of a circle with circumference 39 centimeters

In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 13(s 40) + 35 where F(s) is the cost, in dollars, of the fine if a person is caught driving at a speed of s miles per hour. If a fine comes to $308, how fast in mph was the person speeding? -

Let S be the universal set, where: S = {1,2,3,4,5,6,7,8,9,10} Let sets A and B be subsets of S, where: Set A={1,2,7,9,10} Set B= {1,2,4,5,6,7,8,10} Find the following: LIST the elements in the set (A'): (A) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (B'): (B')={ } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.

After a 40% reduction, you purchase a new stereo for $273. What was the price of the stereo before the reduction? A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation. The equation is B) Solve your equation in part [A] to find the original price of the stereo. Answer: The original price of the stereo was dollars.

Claire has received scores of 85, 88, 87, and 95 on her algebra tests. What score must she receive on the fifth test to have an overall test score average of at least 90? A. 95 or greater B. 96 or greater C. 94 or greater D. 93 or greater

The following equation: P = 139t + 9900 gives the total population, P, of a small city t years after 1971. Use the equation to determine when (what year) the population reached a population of 11707 people. Answer: The population reached a total of 11707 people in the year

The perimeter of a rectangle is 48 feet. Describe the possible lengths of a side if the area of the rectangle is to be greater than 95 square feet. A. The length of the rectangle must be greater than 19 ft or less than 5 ft B. The length of the rectangle must lie between 1 and 95 ft C. The length of the rectangle must lie between 5 and 19 ft D. The length of the rectangle must be greater than 19 ft