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patriot [66]
3 years ago
15

A) average of p and 10 is 16,p=?b) average of z and 12 is 10,z=?​

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

p = 22

z = 8

Step-by-step explanation:

Average is sum of the terms divided by number of terms.

<u>Question # 1:</u>

Given that:

\displaystyle \frac{p+10}{2} = 16\\\\Multiply\ both\ sides\ by \ 2]]\\ p+10 = 2 \times 16\\\\p+10 = 32\\\\Subtract \ 10\ to \ both \ sides\\\\p = 32-10\\\\p = 22

<u>Question # 2:</u>

Given that:

\displaystyle \frac{z+12}{2} = 10\\\\Multiply \ both \ sides \ by \ 2\\\\z+12 = 10 \times 2\\\\z+12 = 20\\\\Subtract \ 12\ to \ both \ sides\\\\z = 20-12\\\\z = 8\\\\\rule[224]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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Answer:

boiling and melting

Step-by-step explanation:


7 0
4 years ago
How any is?<br> 8m + 27 = 2m - 3 <br> with procedure and testing
givi [52]
8m+27= 2m-3
take 2m and subtract it from 8m, this gives you 6m. now your equation is 6m+27=-3.
subtract 27 from -3, this will make it 6m=-30.
divide 30 by 6. this gives you your answer. m=-5, because -30 divided by 6 equals -5.
now to test it you can plug -5 into the equation in place of M. 8 times -5 equals -40, plus 27 equals -13. 2 times -5 equals -10 plus -3 equals -13.
3 0
3 years ago
Read 2 more answers
What is the quotient in simplified form ? Need help please
Gre4nikov [31]

Answer:

  -\dfrac{4a^{12}b^8}{5}

Step-by-step explanation:

The applicable rules of exponents are ...

  \dfrac{1}{a^{-b}}=a^b\\\\a^ba^c=a^{b+c}

Your ratio simplifies to ...

  \dfrac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=-\dfrac{4}{5}a^{8-(-4)}b^{-2-(-10)}\\\\=-\dfrac{4a^{12}b^8}{5}

_____

Please note that simplifying the constants, -8/10 to -4/5, eliminates half the answer choices. Since exponents are only multiplied when a power is raised to a power, you can pretty much eliminate the second choice as being unreasonable. ((a^b)^c = a^(bc))

8 0
4 years ago
88 POINTS!!!!! Multiply:<br><br> 1. (y−4)2<br><br> 2. 5(y+4)2<br><br> 3. (y+4)2<br><br> 4. 5(y−4)2
navik [9.2K]

Answer:

Thus # 2 is correct (5 (y + 4))/2

Step-by-step explanation:

Simplify the following:

(5 y (y^2 - 16))/(2 y (y - 4))

(5 y (y^2 - 16))/(2 y (y - 4)) = y/y×(5 (y^2 - 16))/(2 (y - 4)) = (5 (y^2 - 16))/(2 (y - 4)):

(5 (y^2 - 16))/(2 (y - 4))

y^2 - 16 = y^2 - 4^2:

(5 (y^2 - 4^2))/(2 (y - 4))

Factor the difference of two squares. y^2 - 4^2 = (y - 4) (y + 4):

(5 (y - 4) (y + 4))/(2 (y - 4))

Cancel terms. (5 (y - 4) (y + 4))/(2 (y - 4)) = (5 (y + 4))/2:

Answer:  (5 (y + 4))/2

7 0
3 years ago
Read 2 more answers
Point
goldfiish [28.3K]

Answer:

37.68 or 37.7

Step-by-step explanation:

Circumference of a circle: 2πr

2 x 3.14 = 6.28

6.28 x 6 = 37.68 or 3.7

5 0
3 years ago
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