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Afina-wow [57]
3 years ago
9

The average of A and B is 6. The average of X, Y, and Z is 16. What is the average of A, B, X, Y, and Z?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

12

Step-by-step explanation:

Average of A and B is 6

(A+B) /2 = 6

Multiply each side by 2

A+B = 12

average of X, Y, and Z is 16

(X+Y+Z)/3 = 16

Multiply each side by 3

(X+Y+Z) = 48

To find the average of all of them

(A+B+X+Y+Z)/5

replace A+B with 12 and X+Y+Z with 48

(12+48)/5

60/5 = 12

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What percent of 1.60 is 6
JulsSmile [24]
N% x 1.60 = 6   (I turned it from English to math)
Can't move n% back two places to make it a decimal so I will move the number I am multiplying by n% back two places instead.
Here is a sample to show you why it works.    .34 x 57 = 34 x .57

So
.016n = 6   (.016 is 1.60 decimal moved back two places)

Now divide both sides by .016
<u>.016</u>n   = <u>6
</u><u />.016     .016      n = 375%     

Why is the percent over 100% you might ask?

What % of 1.60 is 1.60  (Answer - all of it or 100%)
So What % of 1.60 is 6  - the number 6 being much bigger than 1.60, it is not surprising that the percent is more than 100.

What % of 1.60 is 1.60  - 100%
What %  of 1.60 is 3.20 - 200%   (notice that 3.20 is twice 1.60)
What % of 1.6 is 4.80   - 300%   (notice that 4.80 is three times 1.60)
What % of 1.6 is  6.40   - 400%  (notice that  6.40 is four times 1.60)
6 (the number in the problem) is just a bit less than 6.40  so 375% makes a lot a sense.
Hope you found this helpful. 

6 0
4 years ago
Evaluate z + z + z for x = 2, y = -3, z = -4.
Dvinal [7]
Greetings!

"<span>Evaluate z + z + z for x = 2, y = -3, z = -4."...

Input the information given:
(-4)+(-4)+(-4)
=-8+(-4)
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The answer to the expression would be -12.

Hope this helps.
-Benjamin</span>
7 0
4 years ago
Read 2 more answers
What is the value of x?
timama [110]

Answer:

x = +5

Step-by-step explanation:

The triangles ADB and BDC are similar.  Thus it is possible to write an equation of ratios and solve it for x:

 x       10

----- = -------

10       4x

Cross-multipying, we get:

4x^2 = 100, which yields x = +5

6 0
3 years ago
Jean is trying to read her grocery receipt , but it is blurry . the sales tax rate was 7.75% . she pays tax only on the Items la
Margaret [11]
$12.79+$3.39=$16.18
$16.18+7.75% tax is $1.253
5 0
3 years ago
Given that <br><img src="https://tex.z-dn.net/?f=2%20%7B%7D%5E%7Bx%7D%20%20%3D%200.125" id="TexFormula1" title="2 {}^{x} = 0.12
Luda [366]
Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
5 0
3 years ago
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