Basic Math Questions and Answers

The Burger Shop sells hotdogs for $3 each and burgers for $5 each. One day, the shop sold 25 more hotdogs than burgers and made $280. Which system of equations could be used to find the number of hotdogs, h, and burgers, b, that the shop sold that day?

A food store makes a 10 lb mixture of peanuts, cashews and raisins. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as much of peanuts as of cashews. The total cost of the mixture is $14. How much of each ingredient did the store use?

Levi buys cookies and potatoes at the store. . He pays a total of $54.69. ' He pays a total of $5.49 for the cookies. . He buys 8 bags of potatoes that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of potatoes costs.

In which type of statistical study is the population influenced by researchers? A Researchers do not influence the population in any of the statistical studies. B. survey C. experiment D. observational study

Molly went shopping to buy jewelry. All of the pairs of earrings, e, cost $13.00 and the necklaces, n, cost $40.50. If she spends $118.50 and buys 7 items, how many necklaces and pairs of earrings did she buy? Enter a system of equations to represent the situation, then solve the system. Justify your answer.

Select the answer that completes the box with the correct terms. The terms are listed in 1, 2, 3, 4 order as shown in the box.

Two trucks were purchased by a landscaping company in 2016. Their values are modeled by the functions f(x) = 35(0.85) * and g(x) = 46(0.75) where x is the number of years since 2016. Which function models the truck that is worth the most after 5 years? Explain

Given the function defined by r(x) = x³ - 3x² + 9x - 4, find the following. r( − 3) r(-3)= (Simplify your answer.)

Sebastian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 2.5 points for each visit to the movie theater. He needs 115 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.

Complete the explanation of why slant height is not defined for an oblique cone. In an oblique cone, the distance from a point on the edge of the base to the vertex is each point on the base.

An online store begins selling a new type of basketball shoe. In Week 2, 60 pairs of shoes were sold. In Week 4, the store sold 240 pairs of shoes. Write an exponential equation that relates the number of shoes (in pairs) solve to the week number. Let x = the week number Let y = the number of shoes (in pairs)

The velocity v of an object rolled down an inclined plane is given by the formula v= √/48d, where d is the distance the object has rolled. Solve the formula for d d=(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Find the exact value of cos(u + v) given that sin u=-3/5 with u in quadrant III, and sin v=-5/13, with v in the quadrant III.

For which of these does correlation most likely imply causation? A. As the number of cups of coffee consumed increases, the price of a dress increases. B. As rainfall increases, the number of umbrellas sold increases. C. As dishwasher use increases, the size of a DVD collection increases. D. As the hours spent studying increases, the number of points scored by a basketball team increases.

Select the correct answer. Jensen is writing an argumentative text about the benefits of digital textbooks. His teacher tells him that he does a great job establishing credibility. Why might Jensen's paper be credible? A. He offers evidence from trustworthy sources. B. He offers specific examples to support his claims. C.He does not offer a counterargument. D.mHe offers solutions for the problem explored.

Nicole has 17 nickels n and dimes d. If the value of her coins is $1.60, how many of each coin does she have? Enter a system of equations to represent the situation, then solve the system.

If the length of the height of a trapezoid is 4 meters, the length of one of its bases is 11 meters, and its area is 62 square meters, then what is the measure of the other base? 113 m 20 m 146 m 25.5 m

A circular power saw has a 61/2-inch-diameter blade that rotates at 4900 revolutions per minute. (a) Find the angular speed of the saw blade in radians per minute. (Round your answer to two decimal places.) radians/min (b) Find the linear speed (in feet per minute) of one of the 24 cutting teeth as they contact the wood being cut. (Round your answer to two decimal places.) ft/min

Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership with the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym costs $50 per month, while the membership for the second gym costs $45 per month. If she ended up spending a total of $550 over the course of the year, how much time did she spend at each gym? Enter a system of equations to represent the situation, then solve the system. The system of equations is Jan spent and months at the first gym and months at the second gym.

Mrs. Lakshi asks her geometry students to describe how to create a right prism with a volume of 24 cubic units. Dorothee says that the prism could be a right rectangular prism where the base is 2 x 3 square units and the height is 4 units. Bai says that the prism could be a right triangular prism where the base is a 3-4-5 right triangle and the height is 4 units. Which of the following statements best explains which student described a correct prism with a volume of 24 cubic units? A. Both students described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is 24 cubic units for both prisms. B. Neither student described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is not 24 cubic units for either prism. C. Only Bai described a prism with a volume of 24 cubic units because Dorothee's prism has a volume that is half of the area of the base times the height. D. Only Dorothee described a prism with 24 cubic units because Bai's prism has a base with area 3 x 4 x 5, which is 60 square units.

Let f(x) = x²+3x-5/ x²-8x+15 What is the domain of f(x)? A. All real numbers except x = 3, x = -5 B. All real numbers except x = 3, x = 5 C. All real numbers except x = 2 D. All real numbers

The hypotenuse of a right triangle is 11 inches. If one leg is 7 inches, find the degree measure of each angle. The angle opposite the 7-inch leg is (Do not round until the final answer. Then round to one decimal place as needed.) The third angle of the right triangle is (Do not round until the final answer. Then round to one decimal place as needed.)

Let f(x) = x²+3x-5/x² - 8x+15 What is the domain of f(x)? A. All real numbers except x = 3, x = -5 B. All real numbers except x = 3, x = 5 C. All real numbers except x = 2 D. All real numbers

Simplify the complex fraction: 9/y2 + 1/y / 81/y2 - 1

What would you do to isolate the variable in the equation below, using only one step? x + 9 = 55 Add 9 to both sides of the equation. Subtract 9 from the left side of the equation only. Subtract 9 from both sides of the equation. Add 55 to both sides of the equation.

A baseball stadium offers tickets with different prices, depending on the location of the seats. If it decreases the prices of all tickets by $15, what will happen to the median price of the tickets? A. There is not enough information to answer the question. B. It will increase by $15. C. It will stay the same. D. It will decrease by $15.

Juan Carlos has been asked to find the distance between two points on a coordinate grid. Using the distance formula, calculate the distance between points (-3, 2) and (12, 10). 15 units 16 units 17 units 20 units

Simplify the complex rational expression. 1/ x + 3 / 1/x²-2x-15 + 1/x-5

A guy is on top of a building looking down to his girl friend on the ground. The building is 12 feet high, and the girl friend is 25 feet away from the base of the building. What is the angle of depression from the guy to the girl friend? Disregard any adjustment for the height of the two humans.

Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. a=13, b= 13, c=10 A. A=67°, B=67°, C = 46° B. A=46°, B=67°, C=67° C. A=68°, B=68°, C = 44° D. A=67°, B = 46°, C=67°

Calculate the given part of a circle for each problem below. Then, order the values from least to greatest. (The smallest value being 1 and the largest value being 4). The radius of a circle whose area is 400(pi) square inches The diameter of a circle whose area is 850 square inches The area of a circle whose radius is 2.5 in The area of a circle whose diameter is 8 in.

Sonequa has two containers, one in the shape of a cylinder and the other in the shape of a cone. The two containers have equal radii and equal heights. She investigated the relationship between the volumes of the cone and the cylinder by transferring water between the two containers. Which of the following claims is most likely to be supported using the results of Sonequa's investigation? The volume of a cylinder is two times the volume of a cone when the two containers have equal radii and equal heights, because one full cylinder of water completely and exactly filled the cone two times. The volume of a cylinder is three times the volume of a cone when the two containers have equal radil and equal heights, because one full cylinder of water completely and exactly filled the cone three times. The volume of a cylinder is two times the volume of a cone when the two containers have equal radii and equal heights, because two full cylinders of water completely and exactly filled the cone one time. The volume of a cylinder is three times the volume of a cone when the two containers have equal radii and equal heights, because three full cylinders of water completely and exactly filled the cone one time.

Find the equations of both of the tangent lines to the ellipse ² + 4y² = 36 that pass through the point (12,3) List the line with the smaller slope first.

What is the correct step for substitution given the following system of equations? * y = 5x - 7 -3x - 2y = -12

Find all critical points of the function f(x) = x² − 2x + 4

If h is an explanatory variable and k is the corresponding response variable, which of these would be represented by the horizontal axis on a scatterplot? A. Both hand k B. h C. Neither h nor k D. k

The interior angle of a regular polygon is 144 degrees Name the figure. Regular heptagon Regular nonagon Regular octogan Regular hexagon Regular decagon regular pentagon regular 11-gon regular dodecagon

An ice cream shop's goal is to sell a mean of 45 ice cream cones per day. In one week, it sold the following numbers of ice cream cones each day. 54, 45, 33, 39, 48, 40, 21 How many more ice cream cones would it have had to sell during the week to meet its goal? A. 5 B. 35 C. 25 D. 15

A spotlight on the ground is shining on a wall 24m away If a woman 2m tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building? Answer (in meters per second)

2. (a) Use bubble sort to sort 4, 2, 6, 5, 3, 1, showing the list obtained after each pass. (b) Use insertion sort to sort 4, 2, 6, 5, 3, 1, showing the list obtained after each pass. (c)] Use the greedy algorithm to make change using quarters, dimes and pennies for 40 cents.

Which of these pieces of data about a package delivered by the post office is considered categorical data? A. Surface area B. Weight C. Volume D. Drop-off location

Multiply the expressions. x²-11x+30/x²-2x-24 * x²-16/X²-25

10/11. A plane flying at 37,000 feet starts its descent when it is 150 miles away from the airport. At what constant angle of descent does the plane approach? To the nearest 10th of a degree. Helpful hint: 5280 feet = 1 mile

Select ALL of the following that are Pythagorean Triples. (There may be more than one so please select all triples.) 7, 24, 25 12, 15, 19 3,4,5 6, 8, 14 11, 13, 17 4, 5, 6

If there are 8 values in a data set, in order from smallest to largest, what is the median of the data set? A. The mean of the 4th and 5th values B. The 4th value C. The mean of the 5th and 6th values D. The 5th value

(x²+x)(x²-1)/(x²-4) ( x² +8x+12) (x²+x)(x²-1)/(x²-4) ( x² +8x+12)= where x≠

Complete the steps to solve the equation 6x +1.6 = 58. Write the original equation. 6x= Apply the Subtraction Property of Equality. x= Apply the Division Property of Equality. (Simplify your answer.)

The expression below is a sum of cubes. 125x³ +144 A. True B. False

Which polynomial represents the difference below? 8x³ + 5x + 6-(2x^7 + 3x) A. -2x^7 +8x³+8x+6 B. 6x^10+2x+6 C. -2x^7 + 8x³ + 2x+6 D. 10x^10 + 8x² +6

Which of these pieces of data about an animal at the zoo is considered numerical data? A. Gender B. Species C. Color D. Height