quotient

A cellular offers a monthly plan of $15 for 350 min. Another cellular offers a monthly plan of $20 for 425 min. Which company offers the better plan? Let's figure out the unit cost of minutes per dollar: Plan 1: 350 minutes / $15 = 23.33 minutes per dollar Plan 2: 425 minutes / $20 = 21.25...

A car repair bill was $441. This included $153 for parts and four hours of labor . Find the hourly rate I was charge for labor Subtract the cost of parts from the total repair bill to get the labor cost: Labor Cost = Total Bill - Parts Cost Labor Cost = 441 - 153 Labor Cost = 288 Labor Cost...

A construction crew has just built a new road. They built 8.75 kilometers of road in 7 weeks. At what rate did they build the road? Rate = Km of road / weeks Rate = 8.75 km / 7 weeks Rate = 1.25 km per week

A hexagon has a total 126 dots and a equal number of dots on each side. how many dots on each side? Since it has an equal number of dots on each side, each side has: Number of dots on each side = 126 dots / 6 sides Number of dots on each side = 21 dots per side

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were In bus? Subtract the 7 students in cars, and we're left with: 331 - 7 = 324 students in buses. 324 students / 6 buses = 54 students in each bus.

2d = (a - b)/(b - c) for d Divide each side by 2 to isolate d: 2d/2 = (a - b)/2(b - c) Cancel the 2's on the left side, we get: d = (a - b)/2(b - c)

double v, add u, then divide t by what you have Double v means we multiply the variable v by 2: 2v Add u: 2v + u We build a fraction, with t as the numerator, and 2v + u as the denominator t/(2v + u)

5 times a number increased by 4 is divided by 6 times the same number Take this algebraic expression in parts. Part 1: 5 times a number increased by 4 The phrase a number means an arbitrary variable, let's call it x: x 5 times the number means multiply x by 5: 5x Increased by 4 means we add 4...

triple c divide the result by a Take this algebraic expression in pieces. Triple c means we multiply the variable c by 3 3c Divide the result by a, means we take 3c, and divide by a 3c/a

John need 250 hours of community service. He volunteers 2 days a week for 4 hours. How long will it take John to reach 250 hours? Each week, John serves 2 days * 4 hours per day = 8 hours. We divide 250/8 to get 31.25 weeks.

A gym charges a $30 sign-up fee plus $20 per month. You have a $130 gift card for the gym. When does the total spent on your gym membership exceed the amount of your gift card? Subtract the sign up fee of $30 from your gift card amount: $130 - $30 = $100 Since each month costs $20, we have...

The sum of a number and 5 divided by 8. Let's take this algebraic expression in parts. Part 1: The phrase a number means an arbitrary variable, let's call it x. Part 2: The sum of a number and 5 means we add 5 to the number x x + 5 Part 3: Next, we divide this expression by 8 (x + 5)/8

4 divided by sin60 degrees. We can write as 4/sin(60). Using our trigonometry calculator, we see sin(60) = sqrt(3)/2. So we have 4/sqrt(3)/2. Multiplying by the reciprocal we have: 4*2/sqrt(3) 8/sqrt(3)

10 divided by the sum of 4 and u Take this algebraic expression in parts: The sum of 4 and u means we add 4 to u: 4 + u Next, we divide 10 by this sum: 10/(4 + u)

85 bags of nuts are to be divided among 18 friends. Each bag contains 15 nuts. How many nuts will each friend get? Calculate the total nuts: Total Nuts = Total Bags * Nuts Per Bag Total Nuts = 85 * 15 Total Nuts = 1,275 Figure out how many nuts each person gets: Nuts per person = Total Nuts /...

You spend $91 shopping for new clothes. You spend $24 for a pair of jeans and 35$ for a pair of shoes. You also buy 4 shirts that cost d dollars. How much is each shirt? Subtract the cost of the jeans and shoes to get the cost of the shirts: Cost of shirts = Shopping Spend - Cost of Jeans -...

A construction worker can lift 220 lb, while an architect can only lift 40 lb. The construction worker can lift how many times what the architect can lift? We divide 220 by 40 to get the multiplier: 220/40 = 5.5 times

A members-only speaker series allows people to join for $16 and then pay $1 for every event attended. What is the maximum number of events someone can attend for a total cost of $47? Subtract the join fee from the total cost: $47 - $16 = $31 Now divide this number by the cost per event: $31 /...

The quotient of 2 and the sum of a number and 1. The phrase a number represents an arbitrary variable, let's call it x. The sum of a number and 1 is written as: x + 1 The word quotient means a fraction. So we divide 2 by x + 1 2 -------- ( x + 1)

Fred had 156 dollars to spend on 9 books. After buying them he had 12 dollars. How much did each book cost? Subtract the 12 dollars left over from the $156 starting amount: $156 - $12 = $144 Now divide $144 / 9 books to get the cost per book: $144/9 = $16 per book