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goldenfox [79]
2 years ago
9

Seiji and Gavin both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How m

uch did each of them earn?
Mathematics
1 answer:
schepotkina [342]2 years ago
5 0
S + g = 425
g = s + 25
-----------------
We will use the method of substitution:
s + s + 25 = 425
2 s = 425 - 25
2 s = 400
s = 400 : 2
s = $425
g = 200 + 25
g = $225
Answer: Seiji earned $200 and Gavin earned $225.
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Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

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Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

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Matt was standing 3 feet from the edge of the pool he walked away from the pool for four seconds then he was 12 feet away from t
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Step-by-step explanation:

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KiRa [710]

The length of the inseam to be removed from the pant is 3 2 / 3 inches.

<h3 /><h3>How to find the length to be removed?</h3>

The length of the pant he bought is 34 inches and it was too long.

He wants the length to be 30 1 / 3 inches long.

Therefore, the amount of length to be removed can be calculated as follows;

34 - 30 1 / 3

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Hence,

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Therefore, the number to be removed is 3 2 / 3 inches

learn more on length here: brainly.com/question/11427600

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ivann1987 [24]

Answer:

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