Basic Math Questions and Answers

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?

One pipe can fill a swimming pool 2.8 times faster than a second pipe. If both pipes are open, the pool can be filled in 3 hours. Choose the equation that can be used to determine how many hours, x, it would take to fill the pool if only the slower pipe is used to fill the pool.

Use the even-odd properties of the trigonometric functions to find the exact value of the given expression. Do not use a calculator. cos (-60°) Select the correct choice below and fill in any answer boxes in your choice. A. cos (-60°)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The answer is undefined.

If two triangles have the same area, what additional information is needed to show that they are congruent? One triangle's altitude is congruent to the other triangle's altitude. The triangles are both isosceles. One triangle has two angles that are congruent to two angles of the other triangle. The triangles each have a right angle.

Starting at noon, Kennedy observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent 8, how many inches of snow were o lawn: 8= 0.012x +4.5, where x represents the number of minutes past noon. What could the number 4.5 represent in the equation? The amount of snow on the lawn when the blizzard ended. How much more snow is added to the lawn every minute. The amount of snow on the lawn at noon. The amount of snow on the lawn at 12:01 p.m.

Sebastian signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded. His total cost per month is given by the equation c = 1.25x + 4.99, where a represents the number of songs he downloads and c represents the total cost, in dollars and cents. What is the meaning of the c-value when x = 1? The cost to use the service for one month if zero songs are downloaded. The total cost per month assuming one song is downloaded. The cost to download 100 songs. How much the streaming service charges per downloaded song.

49. Validate the biconditional statement. A game can be classified as a card game if and only if it is played with a deck of cards. The biconditional statement is false because the conditional statement and the converse are false. The biconditional statement is false because the conditional statement is false. The biconditional statement is false because the converse is false. The biconditional statement is true because the conditional statement and the converse are true.

Joseph is in the business of manufacturing phones. He must pay a daily fixed cost of $1000 to rent the building and equipment, and also pays a cost of $50 per phone produced for materials and labor. Make a table of values and then write an equation for C, in terms of p, representing total cost, in dollars, of producing p phones in a given day.

A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?

The quadratic y = (x - 3)(x + 5) is horizontally translated left by 4 units. Which of the following gives the equation of the transformed quadratic? (A) y = (x-7)(x + 1) (B) y = (x + 1)(x + 9) (C) y = (x + 1)(x + 9) - 4 (D) y = x² + 2x - 11

The population of Dublin, Ohio, in 2013 was 43,607 people. The area of the City of Dublin in 2013 was 24.79 square miles. Find the population density of Dublin in 2013 rounded to the nearest person.

Residents of Valentine, a small city in Nebraska, meet for a city council meeting once a week. Meetings are supposed to last no more than 3 hours. However, many residents are complaining that the average meeting is significantly longer than 3 hours (180 minutes). In order to test this, the lengths of the last 15 meetings were recorded in minutes: 147.0, 155.4, 159.6, 162.6, 163.8, 165.0, 167.4, 169.2, 172.2, 172.8, 172.8, 175.8, 175.8, 196.8, 201.6. Using this data, test the null hypothesis at the alpha=0.1 level that the mean length of city council meetings is equal to 3 hours versus the alternative that the average meeting length is greater than 3 hours. Assume that the distribution of meeting lengths is normal. What is the p-value and conclusion of this test? p-value = 0.046; Fail to reject the null hypothesis p-value=0.046; Reject the null hypothesis p-value = 0.990; Fail to reject the null hypothesis p-value = 0.990; Reject the null hypothesis

The number of astronomy papers published increases by 5% every year. If 27,000 astronomy papers were published in a particular year, how many will be published 2 years later?

On a spelling test. Michelle spelled 17 words correctly. There were 20 words on the test. What percent of the words did she spell correctly.