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navik [9.2K]
3 years ago
8

Write 15 1/4% as a decimal (not as a percentage)

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

0.1525

Step-by-step explanation:

15 1/4% = 15.25%

To convert a percentage back into a decimal, move the decimal 2 spaces to the left.

15.25

1.525

.1525

0.1525

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The surface area of the rectangular prism below is 286in2. Find the height.
Rudiy27

Answer: 7in

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

Solve for h;

Let's begin by dividing by 2.

\frac{A}{2}=wl+hl+hw

Subtract wl because it's the only term that doesn't have h.

\frac{A}{2}-wl=hl+hw

Plug your values into the formula.

\frac{286in^2}{2}-(5in)(9in) =h(9in)+h(5in)\\143in^2-45in^2=9inh+5inh\\98in^2=14inh

Divide by 14 to isolate h.

\frac{98in^2}{14in}=h

7in=h

4 0
2 years ago
Find two numbers whose sum is 1 and whose difference is 7.
Mrac [35]

68-61 =7

but 7-6 =1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the slope of the line whose equation is y−4=5/2(x−2)?
postnew [5]

Answer:

m=\dfrac{5}{2}

Step-by-step explanation:

If the equation of the line is

y=mx+b,

then m represents the slope of the line and b represents the y-intercept of the line. This equation is called the equation of the line in the slope form.

Rewrite the equation of the line in the slope form

y-4=\dfrac{5}{2}(x-2)\\ \\y-4=\dfrac{5}{2}x-\dfrac{5}{2}\cdot 2\\ \\y-4=\dfrac{5}{2}x-5\\ \\y=\dfrac{5}{2}x-1

Thus, the slope of the line is

m=\dfrac{5}{2}

7 0
3 years ago
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Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth
alina1380 [7]
Just divide.

\sf\dfrac{7}{12}\rightarrow7\div12\rightarrow0.58\overline{3}

0.583333. . .
      ^ This is the thousandths place

Look at the number after that, if it's 5 or more we round up, if it's 4 or less we round down.

It's 3, so we round down to 0.583.
7 0
3 years ago
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The black graph is the graph of y=f(x). Choose the equation for the red graph.<br> Please Help me!!
katen-ka-za [31]

Answer:

c

Step-by-step explanation:

The red graph is the black graph translated vertically by 1 unit

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) + 1

Note

y - 1 = f(x) ← add 1 to both sides

y = f(x) + 1 ← as required

The equation of the red graph is

y - 1 = f(x) → c

4 0
3 years ago
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