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Westkost [7]
3 years ago
14

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smalle

r lawn is 144 square feet. In the equation (x – 8)2 = 144, x represents the side measure of the original lawn. What were the dimensions of the original lawn?
Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

20 x 20 feet

Step-by-step explanation:

First I just drew out two squares, one was the first un-cut square and the second is the cut one. Since we know that the area of the smaller square is 144, and Area is just side^2 , we know that all the sides of the smaller square are 12. Now, all we have to do is add 8 to 12 to get the original lawn. The original lawn was a 20 x 20 ft lawn.

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Jack and Jim sign up with an online music store. Jack chooses 15 downloads for $19.75, and Jim chooses 40 downloads for $43.50.
lina2011 [118]
The answer would be A. <span>The registration fee is $5.50, and the cost per download is $0.95.</span>

Solution
Let x = registration fee
y = cost/downloads

Jack
15y + x = 19.75 ; x = 19.75 - 15y
Jim
40y + x = 43.50

Thus,
40y + x = 43.50
40y + <span>19.75 - 15y = 43.50
</span>25y = 23.75
y= 0.95

for x,
<span>x = 19.75 - 15y</span>
x = 19.75 - 15( 0.95)
x= 19.75 -14.25
x = 5.5
3 0
4 years ago
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her t
MrRa [10]
Well first the initial fee would be the x, which is what we have to solve for. Each hour of work is $6, and she does four hours of work. This is equal to $32. The equation would look as follows...

x + 6(4) = 32

Once you have the equation start solving. Use the Pemdas method. First you have to multiply, so now the equation looks as follows...

x + 24 = 32

Now you have to get the x by itself. You do that by subtracting 24 from both sides, because what you do to one side, you do to the other. That will get you to the answer of...

x = 8

In conclusion, Carolina has an initial fee of $8.

Hope this helped.
5 0
3 years ago
Solve x/2 - 3 = 7. 5 10 20 40
earnstyle [38]
<span> x/2 - 3 = 7
Add 3 to both sides
x/2=10
Multiply 2 on both sides
Final Answer: B. 20</span>
3 0
3 years ago
Read 2 more answers
Find the value of x and y​
Nesterboy [21]

Step-by-step explanation:

step 1. break into 2 shapes: a rectangle of sides 3 and 4. a triangle of sides (x - 3), 4, and y.

step 2. y = 4sqrt(2) (definition of a 45° triangle)

step 3. note: sqrt is the square root.

step 4. x - 3 = 4 (definition of a 45° triangle)

step 5. x = 7 (add 3 to both sides).

6 0
3 years ago
PICTURE INCLUDED!! PLEASE HELP !! WHICH OF THE FOLLOWING EQUATIONS DESCRIBE THE LINE SHOWN BELOW (-1,6) (2,-6)
GalinKa [24]
(-1,6)(2,-6)
slope = (-6 - 6) / (2 - (-1) = -12 / 3 = - 4

y = mx + b
slope(m) = -4
(-1,6)...x = -1 and y = 6
sub and find b
6 = -4(-1) + b
6 = 4 + b
6 - 4 = b
2 = b

ur equation is : y = -4x + 2 <== this is one

(-1,6)
y - 6 = -4(x + 1) <== this is one


8 0
3 years ago
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