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patriot [66]
3 years ago
5

5 (p+3) + 9= 3 (p-2) +6

Mathematics
2 answers:
Zepler [3.9K]3 years ago
7 0
Distribute to 5p + 15 + 9 = 3p - 6 + 6
Then .. 5p + 24 = 3p
24 = -2p
-12 = p
AlladinOne [14]3 years ago
4 0

Answer:

p = -12

Step-by-step explanation:

5(p + 3) + 9 = 3(p - 2) + 6  <em>Use distributive property</em>

5p + 15 + 9 = 3p - 6 + 6  <em>Add like terms</em>

5p + 24 = 3p  <em>Subtract 5p from both sides to get the p terms on one side</em>

24 = -2p <em> Divide by 2 to get -p</em>

12 = -p <em> Divide by -1 to get p</em>

-12 = p

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Line segment AB was dilated to create line segment A'B'
MrMuchimi

Answer:

13.6

Step-by-step explanation:

The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:

dilation factor = A'Q/AQ

AQ = A'Q/dilation factor

Replacing with data:

AQ = 2.4/0.15 = 16

Then, the distance between points A and A' is

x = 16 - 2.4 = 13.6

5 0
3 years ago
4y + 7x - 3y + 2x please help me answer thx
Nina [5.8K]
4y+7x-3y+2x
 
(7x+2x)+(4y+-3y)

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7 0
4 years ago
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saul85 [17]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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The sum of three numbers is 113 . The second number is 3 times the third. The first number is 7 less than the third . What are t
OLga [1]
Number 1 = 17
number 2 = 72
number 3 = 24


work:

the three numbers are symbolized as x, y, and z

x + y + z = 113

number 2 (y) is 3 times the third number (z) so 

y = 3z

so x + 3z + z = 113

the first number (x) is 7 less than than the third number (z) so

x = z - 7

so z -7 + 3z + z = 113

5z - 7 = 113
5z = 120

z = 24

x = 17
y = 72

Hope this helped :)
8 0
3 years ago
A random sample of size 100 is taken from a population with the mean as 76 and the variance as 256. what is probability of getti
Blababa [14]

Given the population mean is \mu=76 and population standard deviation is \sigma=\sqrt{256} =16.

Now sample mean is \mu_X=76 and standard deviation of the sample mean is \sigma_X=\frac{\sigma}{\sqrt{n}} =\frac{16}{\sqrt{100}}=1.6.

Use Z-score for finding the probabilities. Use a standard normal distribution table.

a)The probability

P(74.4

b)The probability

P(X

c)The probability

P(X>78.4)=P(Z>\frac{78.4-76}{1.6}) \\  P(X>78.4)=P(Z>1.5) \\ P(X>78.4)=0.0668

8 0
4 years ago
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