Basic Math Questions and Answers

Solve the equation using a graphical method. 3t/4-1=3t-3/3 +1

Brandon has a cup of quarters and dimes with a total value of $56.9. The number of quarters is 10 less than five times the number of dimes. How many quarters and how many dimes does Brandon have? Number of quarters: Number of dimes:

Stanley's weekly allowance is $5. He can also earn $2 each time he walks the family dog. Write an equation that shows how the amount of money Stanley gets in a week, y, depends on the number of times he walks the dog, X.

A motorboat travels 153 kilometers in 3 hours going upstream. It travels 225 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.80 per pound with French Roast Columbian coffee that cost $8.50 per pound to make a 7-pound blend. Their blend should cost them $8.20 per pound. How much of each type of coffee should they buy? Pounds of City Roast coffee = Pounds of French Roast coffee =

A cashier has 60 bills, all of which are $1 or $10 bills. The total value of the money is $231. How many of each type of bill does the cashier have? Number of $1 bills: Number of $10 bills:

A shop order calls for 1000 steel pins each 1 5/8-inches long. If 3/16 inch is allowed for cutting off and facing each pin, how many complete 8-foot lengths of stock are needed for the order? a. 19 b. 18 d. 10 c. 15

In 2002, 330 teenagers underwent gastric bypass surgery. In 2007, 780 teenagers underwent gastric bypass surgery. Use t years since 2000 and V (teenagers underwent gastric bypass surgery) and assume the above information is linear. According to your model, what is the number of teenagers having gastric bypass surgery in 2010? {final answer will be number only}

Tickets for an Amtrak train cost $23 for children and $50 for adults. Josie paid $3,440 for a total of 85 tickets. How many children tickets and how many adult tickets did Josie buy?

Julia has saved $91 from last year and would like to babysit enough hours to buy a new bike. She makes $8 per hour babysitting, and she needs at least $300 for a good quality bike. How many hours must Julia babysit in order to meet her goal?

The rate of depreciation dv/dt of a machine is inversely proportional to the square of t + 1, where Vis the value of the machine t years after it was purchased. The initial value of the machine was $900,000, and its value decreased $200,000 in the first year. Estimate its value after 6 years. (Round your answer to the nearest whole number.)

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 island has 12 fur seal rookeries (breeding places). To estimate the fur seal pup population in Rookery A, 4416 fur seal pups were tagged in early August. In late August, a sample of 500 pups was observed, and 350 of these were found to have been previously tagged. Use a proportion to estimate the total number of fur seal pups in Rookery A. The estimated total number of fur seal pups in Rookery A is

Patsy's's Pizza sells one 14-inch cheese pizza or two 10-inch cheese pizzas for $11.99. Determine which size gives more pizza. (A = πr²)

Which describes the end behavior of the function f(x) = -x² + 4x +37? Select the correct answer below: rising to the left and to the right falling to the left and to the right rising to the left and falling to the right falling to the left and rising to the right

Let f(x) = 4x + 2 and g(x) = 4x² + 4x. After simplifying, (fg)(x) =

Factor. x6+5x5-50x4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x6 +5x5 - 50x4= (Factor completely.) B. The polynomial is prime.

Tickets for an Amtrak train cost $22 for children and $42 for adults. Josie paid $3,026 for a total of 83 tickets. How many children tickets and how many adult tickets did Josie buy?

Determine the following estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? Estimate the total cost of six grocery items if their prices are $4.62, $7.62, $2.15, $9.35, $8.01, and $1.84, by rounding each price to the nearest dollar and then adding. The estimate of the total cost of the grocery items is $ (Type a whole number.) The actual total cost of the grocery items is $ How reasonable is your estimate when compared to the actual answer? Select the correct answer below and fill in the answer box to complete your choice. A. The estimate is a little lower than the actual result. The difference is $ B. The estimate is a little higher than the actual result. The difference is $

Given g(x)=2x-1, solve for a when g(x) = 3.

A ball is placed on the ground next to a tree at the top of a hill. The distance, in feet, the ball travels away from the tree during the first 6 seconds after it begins rolling down the hill is shown on the graph. At which interval of time is the ball traveling with the greatest average speed? A between x = 0 and x = 2 B between x = 2 and x = 4 C x = 2 and x = 6 D between x = 4 and x = 6

A recent survey showed that 50% of recent college graduates named flexible hours as their most desired employment benefit. In a graduating class of 820 college students, how many would you expect to rank flexible hours as their top priority in job benefits? (Round to the nearest whole number.) We would expect college students.

A bank account principal is $8,000 and accumulates yearly interest at 7% interest. Assuming that no withdrawals are made, use the compound interest formula to compute the amount in the account after 8 years. If interest is compounded annually, what is the amount of money after t = 8 years?

What could you divide and then multiply by to go from the first number to the second?

Find the first and second derivatives of the function. (Simplify your answer completely.) g(t) =t²/ t-7 g' (t) = g" (t) =

There are some red, green and blue counters in a box. 1/3 of the counters are red. There are 53 blue counters and 29 more green counters than red counters. How many counters are there in the box altogether?

Two integers that are opposites whose sum is zero.

A 30% antifreeze solution is to be mixed with a 70% antifreeze solution to get 16 liters of a 40% solution. How many liters of the 30% and how many liters of the 70% solutions will be used?

Shelly spent 30 minutes jogging and 50 minutes cycling and burned 880 calories. The next day, she spent 20 minutes jogging and 45 minutes cycling and burned 715 calories. How many calories were burned for each minute of jogging and how many for each minute of cycling?

Larry, Simone, Kim, Eduardo, lan, Sergio, Sarah, and Jim have all been invited to a dinner party. They arrive rand a. In how many ways can they arrive? b. In how many ways can Larry arrive first and Jim last? c. Find the probability that Larry will arrive first and Jim last.

Peter has been saving his loose change for several weeks. When he counted his quarters and dimes, he found they had a total value $16.60. The number of quarters was 12 more than three times the number of dimes. How many quarters and how many dimes did Peter have? Number of quarters = Number of dimes=

Fishing A family of five people has $200 to spend on fishing rods and fishing licenses. They spend a total of $20 on licenses. Assuming they buy 5 identical rods, what is the maximum amount they can spend on each rod?

Determine the discriminant of the quadratic equation. Use the value of the discriminant to determine whether the quadratic equation has two rational solutions, two irrational solutions, one repeated real solution, or two complex solutions that are not real. ' 2x² + 3z + 3 = 0 discriminant =

Factor out a factor with a negative coefficient. -25³ +65-12 (Factor completely.)

Ryan has nine 14-ounce bags of popcorn to repackage and sell at the school fair. A small bag holds 3 ounces. How many small bags can he make?

A car rental company charges a daily rate of $32 plus $0.10 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $71. How many miles did you drive? miles

Find two positive numbers so that twice their sum equals their product and one number is 9 times the other number. Enter the smaller number first. Hints: Read problem solving tips 1 through 12 on page 46. Talk to a friend! The smaller number is The larger number is

A car rents for $160 per week plus $1.00 per mile. Find the rental cost for a two-week trip of 500 miles for a group of three people.

A gasoline station recently increased the price of one grade of gasoline by 15%. If this gasoline originally cost $2.60 per gallon, find the mark-up and the new price. The mark-up is $(Round to the nearest cent as needed.)

If the formula y= x³ is changed by adding four (shown in red below), what effect would that change have on the function's values? ƒ(x) = x³+4 What effect would it have on the graph? ✓ Select an answer It would shift all the points to the right four. It would scale all the points by a factor of four. It would have no effect. It would shift all the points up four. It would shift all the points to the left four. It would shift all the points down four.

If a population has an annual growth rate of r percent, then 70/r is a good estimate of the population's doubling time. Use this method to estimate the population's doubling time for a country with a growth rate of 0.932% in 2008. The estimate predicts that the country's population will double in years. (Round to the nearest whole number.

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 14 feet more than the length of the shortest side. the dimensions if the perimeter is 182 feet. What is the length of the shortest side? The length of the shortest side is What is the length of the second side? The length of the second side is

Which is equal to 54? Select one: a. 5(10 +1) - (4.1) b.7(7+2)-5 c. 8(8-2) + (3.2) d. 9(6-1) + 6 Clear my choice

Factor by grouping. Check your answer. S5-S4 +S-1

What is the sum of all of the terms from the 10th term through the 60th term (including the 10th and 60th terms?

Brooke decided to ride her bike from her home to visit her friend Justin. Three miles away from home, her bike got a flat tire and she had to walk the remaining four miles to Justin's home. She could not repair the tire and had to walk all the way back home. How many more miles did Brooke walk than she rode?

Beth ran a total of 6 miles over the course of 2 track practices. How many track practices would it take for Beth to run 12 miles? Assume the relationship is directly proportional.

Factor the polynomial. X-3x²-5x + 15

Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than 90° and that there are 360° at the center of the circle. Aliaa wants to partition the circle in 10 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?

On a number line, an open dot indicates that a number__ in the solution set, and a closed dot indicates that a number__ in a solution set. On a number line, an open dot indicates that a number__ in a solution set. in the solution set, and a closed dot indicates that a number