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inna [77]
3 years ago
11

When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
-\frac{1}{5}(x-25) = 7       multiply 5 to both sides first
-(x-25) = 35                                     then expand the brackets
-x+25=35                                        make x the subject now;
-x=10
x= -10
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The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,
soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

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The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

  = \frac{13}{2}L - L^{2}

A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

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2 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
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Answer:

Step-by-step explanation:

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5 0
2 years ago
In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volum
GaryK [48]

Answer:

The required volume is 5 ml.

Step-by-step explanation:

Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.

To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Solution :

According to question we use the formula,

\text{Present Volume}=\dfrac{\text{Vol}_{\text{Alcohol}}}{\text{Vol}_{\text{total}}}\times 100\%

The percentage of a blood alcohol level is 0.100%

The total volume of the blood is V=5L=5000 ml.

Substitute the value in the formula,

0.100=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}\times 100

\frac{0.100}{100}=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}

\text{Vol}_{\text{Alcohol}}=\frac{0.100\times 5000}{100}

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Therefore, the required volume is 5 ml.

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