Basic Math Questions and Answers

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.

Consider the following system of equations -2x+y=8 -6x-8y=24 A. Which method would you use to solve the system of equations? Explain your reasoning B. Show work, find the solution to the system. C. Sketc the graph of the above system. Tell how the graph verifies your answer.

Find the horizontal asymptote of f(x) =-5x +4x³-4 / -x³-2x²-3

Given the function h(x) below, select the answer choice that correctly decomposes h(x) into component functions f(x) and g(x) so that h(x) = f(g(x)). Select the correct answer below: h(x) = (8x - 14)^5 h(x) = f(g(x)), where f(x) = 8x - 14 and g(x)=x^5 h(x) = f(g(x)), where f(x) = x - 14 and g(x) = 8x^5 h(x) = f(g(x)), where f(x) = 8x^5 and g(x) = x - 14 h(x) = f(g(x)), where f(x) = 8x and g(x) = (x - 14)^5 h(x) = f(g(x)), where f(x) = x^5 and g(x)= 8x - 14

Graph the function. h(x)=x² Plot five points on the graph of the function: one point with x=0, two points with negative x-values, and two points with positive x-values. Then click on the graph-a-function button.

A small child is climbing up a slide angled at 27.0° above the horizontal. They only make it 0.800 m up the slide before they give up, stop, and then slide back down. When the child reaches the bottom of the slide how fast will they be going? 2.67 m/s 3.74 m/s 3.96 m/s 1.21 m/s

Find (a) the solution to the equation f(x) = 0, (b) the x-intercept of the graph of y = f(x), and (c) the zero of f(x). f(x) = 92 +4.6x (a) What is the solution to f(x)=0? X= (Simplify your answer.)

Brandon has a jar of quarters and dimes with a total value of $10.40. The number of quarters is 4 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?

On two examinations, you have grades of 87 and 88. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of A, meaning a final average of at least 90. a. What must you get on the final to earn an A in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. If your final average is less than 80, you will lose your B in the course. Describe the grades on the final that will cause this to happen. a. You must get at least a

Initially there were 3 liters of blue paint and 3 liters of crimson paint. A paint job uses 20% of the blue and 80% of the crimson paint. a. What percentage of the total combined amount of paint is used during the job? Answer: % b. What percentage of the total combined amount of paint remains after the job is finished? Answer: %

In the fall of 2017, there were 43 thousand more female undergraduate students enrolled at a college than male undergraduate students. If the total undergraduate enrollment was 431 thousand that fall, find the numbers of female undergraduate students and male undergraduate students who were enrolled The number of female undergraduate students was thousand.

Mr. Hall had some money in his bank earning 5.5% simple interest. He had $6000 more deposited in a credit union earning 7% simple interest. If his total interest for 1 yr was $1250, how much did he deposit in each account?

Select the statement that is equivalent to I saw Robin Hood or Bourne Supremacy. Choose the correct statement below. A. If I saw Bourne Supremacy, I did not see Robin Hood. B. I saw both Robin Hood and Bourne Supremacy C. If I saw Robin Hood, I did not see Bourne Supremacy. D. If I did not see Robin Hood, I saw Bourne Supremacy.

In 2005, there were 15,300 students at college A, with a projected enrollment increase of 1000 students per year. In the same year, there were 35,550 students at college B, with a projected enrollment decline of 1250 students per year. According to these projections, when will the colleges have the same enrollment? What will be the enrollment in each college at that time? In the year , the enrollment at both colleges will be the same.

Hannah has to make 105 gallons of punch for a big party. The punch is made of soda and fruit drink. The cost of the soda is $2.55 per gallon and the cost of the fruit drink is $2.90 per gallon. Hannah's budget requires that the punch cost $2.74 per gallon. How many gallons of soda and how many gallons of fruit drink does she need?

Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking at a constant rate of 9 grams per minute. Ten minutes after the experiment started, the gas in the container has a mass of 342 grams. Let a be the number of minutes that have passed since the experiment started, and let f(x) be the mass of the gas, in grams, at that moment. a. Write an equation for f: f(x) = b. 33 minutes after the experiment started, there would be__ grams of gas left. c. If a linear model continues to be accurate, __ minutes since the experimentstarted, all gas in the container will be gone.

Solve the following equation analytically. Check it analytically by direct substitution, and then support your solution graphically. 3x +1/2 + x-1/3 = 15/2 The solution set of this equation is (Simplify your answer.)

Find the following for the function f(x) = 3x² + 3x-3. (a) f(0) (b) f(4) (c) f(-4) (d) f(-x) (e) - f(x) (f) f(x + 2) (g) f(3x) (h) f(x + h) (a) f(0) = (Simplify your answer.) (b) f(4) = (Simplify your answer.) (c) f(-4)= (Simplify your answer.) (d) f(-x) = (Simplify your answer.) (e) -f(x)= (Simplify your answer.)

Car A leaves San Diego at noon driving at 60 mph along a route which is 400 miles long to San Francisco. Car B leaves San Francisco 2 hours later traveling along the same route at 80 mph. How far from the midpoint of the route are they when they meet? Are they closer to San Diego (answer "y" for yes or "n" for no)? How far from the midpoint? Are they closer to San Diego?

The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 102. If state A has more counties than state B how many counties does each state have? State A has counties.

After four years in college, Josie owes $64000 in student loans. The interest rate on the federal loans is 2.4% and the rate on the private bank loans is 4%. The total interest she owes for one year was $2,176.00. What is the amount of each loan? Federal loan at 2.4% account = $ Private bank loan at 4% account = $