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Afina-wow [57]
2 years ago
5

Stefan's family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init

ial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee? If h represents the hourly fee, which equation models this problem? What was the hourly fee for the rototiller?
Mathematics
2 answers:
BaLLatris [955]2 years ago
8 0

Answer: the hourly fee for the rototiller is $3

Step-by-step explanation:

Let h represent the hourly fee for renting the rototiller.

The rental company charged an initial fee of $43 with an additional fee per hour. Assuming that they rented the rototiller for x hours. This means that if they rented the rototiller for x hours, the total amount that they would pay is

43 + hx

If they paid $64 after renting the rototiller for 7 hours, the equation that models this problem would be

43 + 7h = 64

7h = 64 - 43 = 21

h = 21/7 = $3

Serjik [45]2 years ago
4 0

Answer:

$3 per hour, 64 = 7h + 43

Step-by-step explanation:

First, subtract 43 from 64 to find how much the 7 hours on the rototiller actually costed them, which would be 21. Next, divide 21 by 7 to find the hourly fee, which would be 3. If h represented the hourly fee, the equation for this would be 64 = 7h + 43 meaning 64 (the total cost) is equal to 7 times the hourly fee (7 because she rented it for 7 hours) plus 43 (the initial fee).

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Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of thre
Andreyy89

Answer:

The number of different combinations of three students that are possible is 35.

Step-by-step explanation:

Given that three out of seven students in the cafeteria line are chosen to answer a survey question.

The number of different combinations of three students that are possible is given as:

7C3 (read as 7 Combination 3)

xCy (x Combination y) is defines as

x!/(x-y)!y!

Where x! is read as x - factorial or factorial-x, and is defined as

x(x-1)(x-2)(x-3)...2×1.

Now,

7C3 = 7!/(7 - 3)!3!

= 7!/4!3!

= (7×6×5×4×3×2×1)/(4×3×2×1)(3×2×1)

= (7×6×5)/(3×2×1)

= 7×5

= 35

Therefore, the number of different combinations of three students that are possible is 35.

3 0
2 years ago
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You roll a colored cube with one white side, two red sides, and three blue sides. What is the expected number of red sides you w
miskamm [114]

Hello!

This is an example of theoretical probability. If you rolled the die 1,000 times, you would probably roll red about 333 times. On average, this is 1/3, and with a die it is 2/6. As you can see, it will be rolled 2/6 of the time on average, so our answer is A) 2.

I hope this helps!

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The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball
melamori03 [73]

the expected value for the 3 point shot = (3 * 0.30) + (0 * 0.70) = 0.90

the expected value for the 2 point shot = (2 * 0.48) + (0 * 0.52) = 0.96

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Joe walks on a treadmill at a constant rate. The equation below describes the relationship between t, the time he walks in hours
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Answer: A

Step-by-step explanation:

CORRECTED QUESTION

Joe walks on a treadmill at a constant rate. The equation d=4t describes the relationship between t, the time he walks in hours, and d, the distance he walks in miles. Which of the graph best describes the relationship?

The equation d=4t is a linear equation.

When t=1, d=4 X 1 =4

When t=2, d=4 X 2 =8

The correct graph that satisfies this pair is A (as seen in the diagram)

4 0
2 years ago
Jack is 27 years older than Susan. In 5 years he will be 4 times as old as she is. Find the present ages of jack and Susan
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X - Jack's age
y - Susan's age

Jack is 27 years older than Susan.
x=y+27

In 5 years he will be 4 times as old as she is.
x+5=4(y+5)

The system of equations:
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Jack is 31 years old and Susan is 4 years old.
5 0
2 years ago
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