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denis23 [38]
3 years ago
11

A family spent $86 per week for food. This was 20 percent of its weekly outcome. What was its weekly outcome?

Mathematics
2 answers:
dsp733 years ago
5 0
20% of what is 86
0.20x = 86
x = 86/0.20
x = 430 <== weekly outcome
kkurt [141]3 years ago
4 0
$430 is the weekly outcome.
hope that helps
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51 is 33 1/3 of what number?
nevsk [136]

Answer:

\boxed{\frac{153}{100}\:\:Or\:\:1.53}

Step-by-step explanation:

Let the number be n.


Then,

33\frac{1}{3} \tmes n=51

This implies that;

\frac{100}{3} n=51


We multiply both sides by \frac{3}{100} to obtain;


\frac{3}{100} \times \frac{100}{3}n=\frac{3}{100} \times 51


\Rightarrow n=\frac{3}{100} \times 51


\Rightarrow n=\frac{153}{100}

Or

\Rightarrow n=1.53


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3 years ago
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Similar triangles are congruent.
Alex Ar [27]

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

8 0
2 years ago
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Solve the inequality <br> 5x+2 &lt; 32
AnnyKZ [126]

Answer:

x<6

Step-by-step explanation:

First, let's work on the left hand side of your inequality, the 5x+2

This means, for instance, to see if it can be simplified at all.

Multiply x and 5

Multiply x and 1

The x just gets copied along.

The answer is x

x

5*x evaluates to 5x

5*x+2 evaluates to 5x+2

So, all-in-all, the left hand side of your inequality can be written as: 5x+2

Now, let's work on the right hand side of your inequality, the 32

The right hand side of your inequality can be written as: 32

So with these (any) simplifications, the inequality we'll set out to solve is:

5x+2 ‹ 32

Move the 2 to the right hand side by subtracting 2 from both sides, like this:

From the left hand side:

2 - 2 = 0

The answer is 5x

From the right hand side:

32 - 2 = 30

The answer is 30

Now, the inequality reads:

5x ‹ 30

To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)

around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 5 like this:

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

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The solution to your inequality is:

x ‹ 6

8 0
2 years ago
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Please help me with thisss
Solnce55 [7]

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16  =

-2x + 2y = -2  =

(^ the two’s cancel out) =

6y = -18  =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6  =

(^ the six’s cancel out) =

y = -3  =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16  =

2x - 12 = -16  =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4  =

2x/2 = -4/2  =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2  =

THEREFORE YOU GET (-2, -3)

4 0
3 years ago
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Soloha48 [4]

Answer:

Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake

Stephen scored a .84 or an 84%

I hope this helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

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