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3 years ago

The sides of a triangle are (x+3), (x+4), and (x+7). Find the value of x if the perimeter of the triangle is 104

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

Answer:

x = 30

Step-by-step explanation:

The perimeter is the sum of all of the sides of a shape. Therefore, because the sum is equivalent to 104 inches and we are given the lengths of all three sides, we can add the three sides together and set them equal to 104 in order to solve for x.

(x + 3) + (x + 4) + (x + 7) = 104 Drop the parentheses.

x + 3 + x + 4 + x + 7 = 104 Combine like terms (variables first!).

3x + 3 + 4 + 7 = 104 Now, combine constant terms.

3x + 14 = 104 Subtract 14 from both sides.

3x = 90 Divide by 3 on both sides of the equation.

x = 30

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2 years ago

A laundry owner's estimate of her weekly profits, is given by the equation p=-4w2+160w, where w represent the number of workers

kirza4 [7]

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Number of workers = 20.

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p = - 4w^2 + 160 w

We need to find the value of w when p is a maximum.

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3 years ago

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dmitriy555 [2]

Answer:

Yes, y varies directly with x, and the equation is $y=1.6x$ .

Step-by-step explanation:

To check where there is a direct relationship between x and y, we need to check whether all the x,y pairs we have fit some rule:

$y=k\times x$ .

For the first pair (x=4, y=6.4),

$6.4=k\times 4$

Therefore $k = 1.6$ .

For the second pair (x=7, y=11.2),

$11.2=k\times 7$

Therefore $k = 1.6$ .

For the third pair (x=10, y=16),

$16=k\times 10$

Therefore $k = 1.6$ .

For the second pair (x=13, y=20.8),

$20.8=k\times 13$

Therefore $k = 1.6$ .

So x does directly vary with y, and we have found out that $k=1.6$ .

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