Mathematics, 23.06.2019 14:00 KyiahDenise

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?

Answers: 1

Show answers

Answers

Algebraic equations are equations with unknown variables. These unknown variables can be represented using the alphabet.

All values of x for which Taylor's total charge is greater than Allan's total charge is given as x > 4

Let's represent the number of hours Allan and Taylor spent cutting grass as : h

From the question, we are told that

Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn.

The algebraic equation for Allan is given as :

$15 + $8.50 × x

15 + 8.5x Equation 1

Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn.

The algebraic equation for Taylor is given as :

$12 + $9.25 × x

12 + 9.25x Equation 1

To find all values of x for which Taylor's total charge is greater than Allan's total charge we would equate both equations to each other using the inequality sign ">"

Equation 2 > Equation 1

12 + 9.25x > 15 + 8.5x

Collect like terms

9.25x - 8.5x > 15 - 12

0.75x > 3

Divide both sides by 0.75

0.75x / 0.75 > 3/ 0.75

x > 4

Therefore, all values of x for which Taylor's total charge is greater than Allan's total charge is given as x > 4

To learn more, visit the link below:

link

Answer from: 20copstevens

x > 4

Step-by-step explanation:

First I made an equation to find the cost for each Allen and Taylor.

Allen : 15 + 8.50x

Taylor = 9.25x + 12

Now that we know the equations we can set up an inequality.

9.25x+12>8.5x+15

Now you can solve!

Step 1: Subtract 8.5x from both sides.

9.25x+12−8.5x>8.5x+15−8.5x

0.75x+12>15

Step 2: Subtract 12 from both sides.

0.75x+12−12>15−12

0.75x>3

Step 3: Divide both sides by 0.75.

$\frac{0.75x}{75} \frac{3}{0.75}$

x > 4

Answer from: Quest

step-by-step explanation:

do you have a copy of the table?

Answer from: Quest

beluga wheeeaaalle matt

step-by-step explanation:

Another question on Mathematics

Mathematics, 20.06.2019 18:04

George is 187 cm tall. his son, ralph, is 142 cm tall. who casts the longer shadow. george when the sun is 65° above the horizon, or ralph when the sun is 56° above the horizon? how much longer? (nearest centimeter)

Answers: 2

Answer

Mathematics, 21.06.2019 19:30

Is the power produced directly proportional to the wind speed, give reasons for your answer?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Which type of graph would allow us to compare the median number of teeth for mammals and reptiles easily

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96

Answers: 2

Answer

You know the right answer?

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

Questions

Mathematics, 04.01.2020 20:31

The students begin to play games each game takes 10 minutes to complete there are five game stations so five games can be played at once based on your...

Mathematics, 04.01.2020 20:31

The linear function is represented by the equation y = – 2. what can be determined of this equation written in slope-intercept form? check all that a...

Mathematics, 04.01.2020 20:31

Will give medal . pyramid a is a square pyramid with a base side length of 12 inches and a height of 8 inches. pyramid b is a square pyramid with a ba...