Basic Math Questions and Answers

Anthony drew a pentagon with each side measuring 6 inches. Carol drew a hexagon with each side measuring 5 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.

Solve the equation using the quadratic formula. 2x²-13x-2=0 The solution set is.

For the equation given below, complete parts a through c. - 9x + y = 0 a. Put the equation in slope-intercept form by solving for y. b. Identify the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is. B. The slope is undefined. Identify the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is B. There is no y-intercept.

Water flows from a storage tank at a rate of 300 - 7t liters per minute. Find the amount of water that flows out of the tank during the first 14 minutes.

Susan Marciano invested part of her $13,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $910. The amount invested at 10% is $ The amount invested in stock is $

Use the Law of Detachment to draw a logical conclusion from the two given statements. If not possible, choose not possible. If it is sunny, then I will have a picnic. Today it is sunny. I will have a picnic today. I am having a picnic, it must be sunny. If it is not sunny, then I will not have a picnic. not possible

Determine whether the equation defines y as a function of x. y= 1/X Does the equation define y as a function of x? Yes No

A total of $7000 is invested: part at 6% and the remainder at 10%. How much is invested at each rate if the annual interest is $520?

Supply a valid technology formula for the given function. 2^-5x 24-5*x 2^(-5*x) 2^x-5 (2^-5)*x

Marina rend a drone and model airplane at the Auto-Models for Teens. The following system represents the hours she rented the drone and the model plane and the total amount spent for rental. In the system, d represents the number of hours she rented the drone and a represents e number of hours she rented the model airplane. Which of the following statements are true? True or False d+ a = 8 80d +50a = 580 Marina rented the drone and model airplane for a total of 8 hours. The charge to rent a drone is $80 per hour. Te charge to rent model airplane is $610 per hour. Merina spent $130 at Auto-Models for Teens on renting the drone and model airplane. Mrina rented the drone for 7 hours. Mrina rented the model airplane for 2 hours.

Cooper's wallet is full of $5 and $10 bills. He has 25 bills totaling $230. How many of each bill does he have? Let x represent the number of five-dollar bills and let y represent the number of ten-dollar bills. A) Write a system of equations for this problem: B) Solve the problem on paper. C) What is the solution to the system of equations:

A metallurgist has one alloy containing 38 % copper and another containing 58 % copper. How many pounds of each alloy must he use to make 51 pounds of a third alloy containing 55 % copper? (Round to two decimal places if necessary.)

Solve the inequality. Graph the solution set. - 5+x≤1

Which sentence below correctly uses the infinitive to read? A. The only way we could assemble the unit correctly was to read the entire set of instructions. B. The teacher told the students to, if they wanted to understand a text, read it closely for meaning. C. If taking a test, it is important to, before answering a question, read the instructions carefully, D. Sal didn't have time to, since the class was over, read the assignment that was due tomorrow,

Classrooms on one side of the drama building are all numbered with consecutive even integers. If the first room, the room with the smallest classroom number, on this side of the building is numbered y, write an expression in y for the sum of the first seven classroom numbers in a row. Then simplify this expression. The sum of the first seven classroom numbers in a row is

Sally invested some money at 15 % interest. Sally also invested $172 more than 3 times that amount at 14%. How much is invested at each rate if Sally receives $1398.35 in interest after one year? (Round to two decimal places if necessary.)

Which type of nonfiction should be used to share your research on a prominent scientist and her contributions to the study of genetics? A. memoir B. personal essay C. biography

Determine an equation to represent the surface area of a cylinder in terms of the height given that the radius is equal to ½ of the height.

Let (-5, 6) be a point on the terminal side of θ. Find the exact values of sin θ, csc θ, and cot θ.

A local Barnes and Noble bookstore ordered 80 marketing books but received 44 books. What percent of the order was missing?

There were some green and blue pens in a box. If 27 green pens were taken out of the box, there would be 1/3 as many blue pens as green pens. If 40 blue pens were added into the box, there would be many pens were there in the box? as many blue as green pens. How

A dairy needs 258 gallons of milk containing 7% butterfat. How many gallons each of milk containing 8 % butterfat and milk containing 2% butterfat must be used to obtain the desired 258 gallons? Answer How to enter your answer (opens in new window) gallons of milk containing 8 % butterfat gallons of milk containing 2% butterfat

A good, open-ended question for an interview A. has a "yes" or "no" answer. B. gets the person you are interviewing to open up and talk about anything that comes to his mind. C. gets the person you are interviewing to open up and talk about the topic of the interview.

Use the intersection-of-graphs method to approximate the solution of the following equation to the nearest hundredth.

Which answer best describes the following text? A baseball coach gets cut from his community baseball team. A. verbal irony B. situational irony C. sarcasm D. dramatic irony

The total number of births in an average woman's lifetime in Thailand can be approximated by the function f(x) = -0.121x + 5.55, where x is the number of years after 1970 and corresponds to the woman's year of birth. Step 1 of 2: What is the value of f(28) and what does it represent?

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Enter your answers as a comma-separated list.)

Suppose the U.S. Census Bureau projects the population of Nevada to be 2 million in 2000 and 3.1 million in 2020. Assuming the population growth is linear, Use t years since 1995 and p the population of Nevada in millions. According to your linear model, what is the population of Nevada in 2030? (Round your final answer to two decimal places}

Stephanie swims laps every day. The number of laps she swims is directly proportional to the time in minutes. If the constant of proportionality for this relationship is then how many laps can she swim in 57 minutes? A) 171 laps B) 3 laps C) 19 laps D) 27 laps

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. a. What scale is being used for the image? b. How tall is the actual book?

Fill in the blank. The domain of g(x)= 3/X+2 consists of all real numbers except -2, represented in interval notation as

Carlos needs $8078 for a future project. He can invest $7000 now at an annual rate of 9,8%, compounded semiannually. Assuming that no withdrawals are made, how long will it take for him to have enough money for his project? Do not round any intermediate computations, and round your answer to the nearest hundredth.

A bus makes a stop at 2:30, letting off 14 people and letting on 2. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop? There a

Marissa wants to blend candy selling for $1.20 per pound with candy costing $2.70 per pound to get a mixture that costs her $2.10 per pound to make. She wants to make 30 pounds of the candy blend. How many pounds of each type of candy should she use? Pounds of $1.20 per pound candy = Pounds of $2.70 per pound candy =

A grocery store sells a bag of 8 oranges for $6.80. How much does one orange cost?

. Using the listed equalities, convert the following numbers to different units. Make sure that you have the correct number of significant figures. (5 points per answer, 10 points total) Show your work for partial credit. 1 inch = 2.54 cm, 1 foot = 12 inches, 1 mile = 5280 feet, 1 yard = 3 feet, 1 nautical mile = 1.852 kilometers 1 oz = 28.35 grams 1000 mg = 1 gram 1000 grams = 1 kg 1 m= 100 cm 1 Km = 1000 m

A) Given the vertices of a quadrilateral, it can be classified by characterizing its sides. You start by calculating the length and slope of each side. Classify based on these calculations. You start by calculating the length slope of each side. Classify based on these calculations. Classify quadrilateral

Solve the absolute value inequality. 4> |1-x| Rewrite the inequality without absolute value bars. Select the correct choice below and fill in the answer box(es) to complete your choice

The total adult population of an economy is 175 million, the number of employed is 122 million, and the number of unemployed is 17 million. The percentage of adults who are not in the labor force is 25.3 percent. 20.6 percent. 30.3 percent. 13.9 percent.

Perform the following multiplications and divisions and express the answer in the correct number of significant figures and units. (5 point per answer, 10 points total) Show work for partial credit

Brian has made 9 of 19 free throws so far this season. His goal is to make 70% of his free throws. If Brian makes his next x free throws in a row, the function 9+x f(x) = 19+x represents Brian's new ratio of free throws made. How many successful free throws in a row will raise Brian's percent made to at least 70%? Is this a reasonable answer? Explain. --D

Solve the absolute value inequality. 2|2x-7|+8> 18

If f(x) = x² - 4x +4, simplify each of the following. f(x+h)= f(x+h)-f(x) =

Given the functions below, find the domain of (fog)(x). Select the correct answer below: All real numbers except and 31 All real numbers except -2 All real numbers except - and All real numbers except -and- All real numbers except-and- All real numbers except and - 31

A manufacturer of household items has total revenue given by the function R= 18.5x and has total cost given by C=16x +250, where x is the number of items produced and sold. Use graphical methods to find the number of units at which the manufacturer will break even for the product. The number of units that gives break even for the product is (Simplify your answer.)

Kevin has half of his investments in stock paying an 11 % dividend and the other half in a stock paying 14 % interest. If his total annual interest is $480, how much does he have invested?

Peter has half of his investments in stock paying a 9% dividend and the other half in a stock paying 11% interest. If his total annual interest is $470, how much does he have invested?

An online furniture store sells chairs for $200 each and tables for $750 each. Every day, the store can ship a maximum of 16 pieces of furniture and must sell at least $6000 worth of chairs and tables. If a represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Select the outlier in the data set. 57 65 67 69 70 74 75 79 299 If the outlier were removed from the data set, would the mean increase or decrease? increase decrease

Diane works at a gardening store, and today she is helping assemble gas trimmers to be sold. An employee from an earlier shift already assembled 7 trimmers, and Diane can assemble 4 trimmers per hour. Write an equation that shows how the total number of trimmers assembled, y, depends on the number of hours Diane spends assembling them, x.