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monitta
3 years ago
8

38 is 8 percent, of what number?

Mathematics
2 answers:
adoni [48]3 years ago
6 0

Answer:

475

Step-by-step explanation:

Is means equals.  We need to change 8% to a decimal.  8% = .08.  Of means multiply.  X is the unknown number.

38 = .08 * x

Divide each side by .08

38/.08 = .08x /.08

475 = x

The unknown number is 475

geniusboy [140]3 years ago
4 0

Answer:

475

Step-by-step explanation:

38 is 8%  of 475.

475 divided by .08 is 38

38 multiplied by .08 is 475

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Answer:

7/10 < 3/4

Step-by-step explanation:

7/10 = 14/20

3/4 = 15/20

7/10 < 3/4

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2 years ago
What is the solution for the system<br> of equations shown IN the graph?
noname [10]

Answer:

(2,4)

Step-by-step explanation:

The solution for the system is where the two lines intersect.

The two lines intersect at x = 2 and y =4

(2,4)

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Read 2 more answers
A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner
algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by  using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

V=x(216-24x-36x+4x^{2})

V=x(4x^{2}-60x+216)

V=4x^{3}-60x^{2}+216x

So now we can find the derivative of the volume:

V'=12x^{2}-120x+216

and set it equal to zero, so we get:

12x^{2}-120x+216=0

and now we can solve. We can start by factoring the left side of the equation, so we get:

12(x^{2}-10x+18)=0

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}

so we substitute the corresponding values:

x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0
3 years ago
Solve this equation <br>(3m⁴)²​
earnstyle [38]

Answer:

9m⁸

Step-by-step explanation:

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Free easy point just answer pls, i need help!!!
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