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Dafna1 [17]
2 years ago
12

Jacob is renting an auger (used to drill holes for posts). On Home Depot's website, the charge is $65 plus $7 per hour. At Lowes

, the charge is $95 plus $4 per hour. Determine when the costs would be the same.
Mathematics
1 answer:
Butoxors [25]2 years ago
3 0

Answer:

10 hour rental

Step-by-step explanation:

Let x = number of hours

HD cost: 7x + 65

L cost: 4x + 95

Set the two cost expressions equal and solve for x, the number of hours.

7x + 65 = 4x = 95

3x = 30

x = 10

The costs are equal for a 10 hour rental.

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Marty and Ethan both wrote a function, but in different ways.
marishachu [46]

<em><u>Question:</u></em>

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

<em><u>Answer:</u></em>

Marty’s with a slope of 1/3 has the larger slope

<em><u>Solution:</u></em>

<em><u>Given that Marty equation is:</u></em>

y + 3 = \frac{1}{3}(x+9)

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

On comapring both equations,

m = \frac{1}{3}

<em><u>Ethan wrote a function:</u></em>

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

<em><u>The slope is given by formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From above two points,

(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)

Therefore,

m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2

Thus we get,

\text{Slope of Ethan} < \text{Slope of Marty}

Therefore, Marty’s with a slope of 1/3  has the larger slope

4 0
3 years ago
Read 2 more answers
Gaby plays on volleyball team. In the two games she scored 3/5 of the total number of points her team scored. Her team scored 25
hjlf

Answer:

Gaby scored 27 points.

Step-by-step explanation:

First, you have to find 3/5 of both of the numbers.

What I did was I found 1/5 of each number and multiplied it by 3.

25/5=5, so 1/5 of 25 is 5. 5(3)= 15, so Gaby scored 15 points in the first game.

20/5= 4, so 1/5 of 20 is 4. 4(3)= 12, so Gaby scored 12 points in the second game.

Finally, add 15+12, which equals 27 :).

5 0
3 years ago
If this necklace is $14.95 how much is 3 more added
FromTheMoon [43]

Answer:

14.95*3=what

Step-by-step explanation:

that's your answer

4 0
3 years ago
Find the Area and Perimeter of the
murzikaleks [220]

Answer:

Area: 7 units

Perimeter: 15 units

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2 years ago
What is the answer for 2/5/6
qwelly [4]

Answer:0.6 repeating

Step-by-step explanation:

8 0
3 years ago
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