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miv72 [106K]
3 years ago
12

To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12

for his equipment and $9.25 per hour spent cutting a lawn. If x represents number of hours spent cutting a lawn, what are all values of x for which Taylor's total charge is greater than Allan's total charge?
Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:


Step-by-step explanation:

Let y be the total charge and x no of hours spent for cutting the lawn,

Then for Allan we have the equation as

y = 8.50x+15

SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.

Next similarly for Taylor, we have fixed charges 12 and variale 9.25

y =9.25x+12

When Taylor total charges is greater than Allan's total charge

we have 9.25x+12>8.5x+15

Simplify to get

0.75x>3

Or x>4

Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan

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Area of a triangle with h = 90 cm and b = 1 in.
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Answer: 45 in squared

Step-by-step explanation:

To find area of a triangle, you have to find the area of a square, and divide it in half. A 90 inch high square with a 1 inch base would be 90 inches, however, if you are solving for a triangle, it would be 45 inches

7 0
3 years ago
The length of a train car is 50.6 feet this is baffling 8 feet less than six times the width what is the width
hram777 [196]

Answer:

the width is 9 23/30 feet ≈ 9.767 ft

Step-by-step explanation:

Let w represent the width of the train car. Then 6 times the width is 6w, and 8 ft less than that is (6w-8). We are told this amount is 50.6 feet, so we have ...

6w -8 = 50.6

6w = 58.6 . . . . . . . add 8; next divide by 6

58.6/6 = w = 586/60 = 293/30 = 9 23/30 . . . . feet

This is a repeating decimal: 9.766666...

The width of the train car is 9 23/30 ft, about 9.77 ft.

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3 years ago
1. Five people arrive simultaneously at a theater. In how many ways can they line up at the ticket
rosijanka [135]

Answer:

120

Step-by-step explanation:

Using factorial, we can calculate the total possible number of combinations to line up.

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5! is another way of saying 5 × 4 × 3 × 2 × 1

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2 years ago
Juan’s three math quizzes this week took him 1/3 hour, 4/6 hour, and 1/5 hour to complete. List the lengths of time in order fro
Ipatiy [6.2K]

Rewrite the fractions to have a common denominator:

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Now compare the numerators and list from smallest to largest:

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The order would be:

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