Basic Math Questions and Answers

A movie theater has a seating capacity of 235. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1696, How many children, students, and adults attended? children attended. students attended. adults attended.

The population of Hilliard, Ohio, in 2013 was 31,012 people. The area of the City of Hilliard in 2013 was 13.34 square miles. Find the population density of Hilliard in 2013 rounded to the nearest person.

LT 15 A city with a population of 24380 people has a density of 2245 people/square mile. Rounded to the nearest tenth, what is the area of the city in square miles.

Which of the following conditions do not have to be met to prove two sollids have equal volumes using Cavalieri's principle? The solids must have the same height. The solids must have cross sections with the same area at equal heights. The solids must be included between two parallel planes. The solids must have the same length.

The decomposition reaction of calcium carbonate (CaCO3) is seen below; the change in enthalpy of the reaction is (AH) is 178.3 kJ/mole. CaCO3 (S)-> CaO (s) + CO2 (g) The reaction would be considered - A. Endothermic, releases heat B. Exothermic, releases heat C. Endothermic, absorbs heat D. Exothermic, absorbs heat

Suppose there are two stacks of ten dimes. In the first stack, the dimes are stacked with perfect alignment. In the second stack, the dimes are stacked irregularly but still on top of each other. Which of the following statements would be true? The height of the first stack would be greater than the height of the second stack. The area of the cross sections for each stack at equal heights would be different. The first stack of dimes would be included between two parallel planes; however, the second stack would not. The volume of both stacks of dimes would be equal.

A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay?

The diameter of a circle is 14 ft. Find its area to the nearest tenth. Answer: A =ft² Submit Answer

Which statements describe the altitudes of triangles? Select all that apply. An acute triangle has altitudes inside the sides of the triangle. A right triangle only has two altitudes. The point of concurrency for a triangle's altitudes is called the orthocenter. An obtuse triangle has altitudes along the legs of the triangle.

The population of Baconburg starts off at 2,823 people and grows 13% each year. How many people would populate Baconburg after 19 years?

All changes saved Which of the following is the BEST description for the resulting three-dimensional figure if a right triangle is rotated about the line containing its hypotenuse? a cone with slant height the same length as the longest leg a pyramid with triangular base a cone with slant height the same length as the shortest leg two cones sharing the same circular base with apexes opposite each other

Last week at the grocery store where you work, you sold 298 peaches and lost 36 because they expired. The store paid $0.45 per peach and sold each peach for $0.99. What profit did the store make on peaches last week? A. $141.56 B. $142.34 C. $142.59 D. $144.72 E. $153.65

Your job paid you $20,000 your first year. You are now given the choice of either earning an additional $425.00 each year you work (option 1) or 2% of your current salary (option 2). Your plan is to stay with this job for 5 more years. Which option do you choose? Make sure to include units and round to the nearest hundredth. Option 1 Amount: Option 2 Amount: Which option is better? (Type Option 1 or Option 2.)

Lee and Maya are collecting leaves for an art project. Lee collects 24/100 of the total number of leaves needed. Maya collects 4/10 of the total number of leaves needed. What fraction of the total number of leaves did they collect altogether?

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function. ƒ(x) = −(x+8)² – 7

All chang For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: State the Pythagorean Theorem. Part B: Does the set of numbers 9, 40, 41 form a Pythagorean triple? Show your work. Part C: Determine if a triangle with sides measuring 8, 10, and 14 units forms a right triangle. Show your work.

Mia borrowed some money from her friend in order to help buy a new video game system. Mia agreed to pay back her friend $8 per week and originally borrowed $80. Write an equation for L, in terms of t, representing the amount Mia owes her friend after t weeks.

Juan's house has a rectangular doorway that is 8 feet high and 3 feet wide. Which measurement is closest to the length of the diagonal of the doorway? 3.3 8.5 11.0 7.4

Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are 12 feet and 15 feet long. Which is closest to the length, in feet, of the shortest timber? 9 3 5.2 7.3

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4.5 ft long with a diameter of 2.4 ft. Suppose gas is poured into the tank at a rate of 2.1 ft per minute. How many minutes does it take to fill the empty tank?

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult citizen tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 student tickets. Find the price of a senior citizen ticket and the price of a child ticket. Let x = let y =

The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based on the information, which statement is a valid conclusion about Trapezoid ABCD? The non-parallel sides are not congruent. The parallel bases are congruent. One base and one non-parallel side are perpendicular. The non-parallel sides are perpendicular.

A triangle has side lengths of 3 feet and 5 feet. Determine the possible lengths of the third less than 2 feet and greater than 8 feet greater than 3 feet and less than 6 feet greater than 4 feet and less than 2 feet greater than 2 feet and less than 8 feet

A physics class has 50 students. Of these, 15 students are physics majors and 16 students are female. Of the physics majors, five are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is (Round to three decimal places as needed)

Which of the following statements best summarizes the Side-Splitter Theorem? If a line is perpendicular to one side of a triangle and intersects the two other sides, the line divides the two sides of the triangle proportionally. If a line is parallel to one side of a triangle and intersects the two other sides, the line will always form a right angle. If a line is parallel to one side of a triangle and intersects the two other sides, the line divides the two sides of the triangle proportionally. If a line is congruent to one side of a triangle and intersects the two other sides, the line divides the two sides of the triangle proportionally.

Two similar solids have surface areas of 112 in2 and 175 in2. If the smaller solid has a side length of 20 inches, how long is the corresponding side in the larger solid (in inches)?

Among a group of twenty students, eight have been to Mexico and six have been to Canada. Three students have been to both countries. What is the probability that a student from this group went to Mexico or Canada? 11/20 17/20 14/20 8/20

When the Dragons have lost their most recent game, 200 fans buy tickets. For each consecutive win the Dragons have, the number of tickets fans buy increases by a factor of 1.1.Write a function that gives the number of tickets fans buy to Dragons games after the Dragons have had consecutive wins.

Two transformations of quadrilateral PQRS are described below. • First transformation: (x,y) → (x+1, y-2) • Second transformation: (x+1, y-2) → (x+1, 2-y) Which transformations were used on quadrilateral PQRS? O a reflection over y-axis, then a translation O a translation, then a reflection over x-axis O a translation, then a reflection over y-axis O a reflection over x-axis, then a translation

Graph the following system. Use the line tool to graph both lines then use the point tool to plot the point of intersection. Write the point of intersection as an (x, y) ordered pair. If there is no solution or infinite solutions, leave the answerbox blank. y = 2x + 2 y= - 3x + 7

A population of fish grows exponentially by 8% each year. If the starting population is 100, what will be the size of the population in 5 years? How long will it take the population to reach 1000 fish?

What was President Eisenhower's position on the Vietnam Conflict? He worked to keep the US neutral. He believed the only way to get out of the conflict was to win; so he ordered increased military action He believed the US had to maintain peaceful relations in the Indochina Region. He believed we had to get involved because if one nation fell to communism, we would lose the whole reg

A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 40% and the third contains 60 %. They want to use all three solutions to obtain a mixture of 96 liters containing 50 % acid, using 3 times as much of the 60 % solution as the 40 % solution. How many liters of each solution should be used?

In an online poll, 197 people voted for Coach as the best job at the Super Bowl. The job of Announcer received 205 more votes than the Coach. Write and solve an equation to find how many votes the job of Announcer received.

Miss Crawford wants to buy a new car. She is considering elther a hybrid or an electric car. She can choose a standard or a luxury model. There are red, silver, black, and white colors available to choose from. How many possible cholces does Miss Crawford have If she chooses one Item from each group? 4 8 16 24

Samantha has some dimes and quarters. She has 7 more dimes than quarters and the collection of coins is worth $10.15. How many dimes and quarters does Samantha have? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.

Put the equation y = x² + 4x - 5 into the form y = (x + h)² + k

Two square pyramids are similar. If the heights of the pyramids are 9 inches and 12 inches, and the volume of the smaller pyramid is 162 in³, what is the volume of the larger pyramid (in cubic inches)?

A car bought for $13000 depreciates at 12% annually. What is its value after 9 years? Do not include the dollar sign in your answer. Round your answer to the nearest cent.

Two square pyramids are similar. If the heights of the pyramids are 9 inches and 12 inches, and the volume of the smaller pyramid is 162 in', what is the volume of the larger pyramid (in cubic inches)?

Leos total bill at the blue lobster came to $45.90. he wanted to leave a 20% tip. How much money would he need to pay in total?

A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by P(x) = -2(x-3)(x - 11) What would be the company's profit if the app price is 0 dollars?

Seema deposited $800 in a saving account earning 2.05% compounded annually. To the nearest cent, how much will she have in 17 years? Do not include the dollar sign in your answer.

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city. Every year the population drops by 4.5%. What is the population after 3 years? 894 people 1,069 people 854 people 816 people

An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on the job. One day, the electrician earned a total of $250 for a 2 hour job. Write an equation for C, in terms of t, representing the total cost of the electrician's services if the electrician spends t hours at the house working.

Simon has 160 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width 2 (in meters) is modeled by A(z) = -x(x - 80) What width will produce the maximum garden area?

Find an expression which represents the difference when (10x-8y) is subtracted from (-4x-9y) in simplest terms.

Ian is going to the amusement park, where he has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money lan will spend is given by the equation y = 20+ 1.5a, where y represents the total amount of money, in dollars and cents, and a represents the number of rides Ian goes on. What is the meaning of the y-value when z = 1? The total amount of money lan will spend if he goes on 100 rides. The change in the total amount of money for every one additional ride he goes on. The total amount of money Ian will spend if he goes on o rides. The total amount of money Ian will spend if he goes on 1 ride.

Tanya has a garden with a trench around it. The garden is a rectangle with length 2 1/2m and width 2 m. The trench and garden together make a rectangle with length 3 1/2m and width 3 m. Find the area of just the trench. m²

Suppose Solid X and Solid Y are similar. The volume of Solid X is 5145 cm³, and the volume of Solid Y is 10,935 cm³. If Solid X has a height of 28 cm, what is the height of Solid Y in centimeters?