Answer:
Step-by-step explanation:
Given
Required
Find m
By comparison:
Add 3 to both sides
Answer:
<h2>14cm</h2>
Step-by-step explanation:
Given a length of the diagonal of a square modeled by the equation
d = 1.4x^1/2 where x is the area of the square, to find the estimate of the length of the square if area is 100cm², we will substitute x = 100 into the modeled equation to get s as shown;
<em>Hence the length of the diagonal of the square using the modeled equation is 14cm</em>
Answer: you spent 250 hours during your cleanup.
you spent 150 hours painting
Step-by-step explanation:
Let x represent the number of hours that you spent during your cleanup.
Let y represent the number of hours that you spent painting.
you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that
8x + 12y = 3800- - - - - - - - - -- 1
You worked a total of 400 hours. This means that
x + y = 400
Substituting x = 400 - y into equation 1, it becomes
8(400 - y) + 12y = 3800
3200 - 8y + 12y = 3800
- 8y + 12y = 3800 - 3200
4y = 600
y = 600/4 = 150 hours
Substituting y = 150 into x = 400 - y, it becomes
x = 400 - 150
x = 250 hours
Answer:
x = 30
Step-by-step explanation:
10% fat = 0.1x
x = the solution, what we want to find
120 grams of 20% fat = 0.2 * 120
What we want is mixture of 18%
So....
0.1x + 0.2 * 120 = 0.18 (x + 120)
Solve:
0.1x + 24 = 0.18 (x +120)
0.1x + 24 = 0.18x + 21.6
24 = 0.08x + 21.6
x = 30
<span> -63 + (-208) + (-11) = -63 - 208 - 11 = -282
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Answer: -282
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