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Yuki888 [10]
4 years ago
5

What is the solution to -8(x + 3) = 16 - (x + 5) show all work

Mathematics
1 answer:
katen-ka-za [31]4 years ago
8 0

Answer:

x = -5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :      -8 * (x+3) - (16-(x+5)) = 0

 (0 -  8 * (x + 3)) -  (11 - x)  = 0

Pull out like factors :

-7x - 35  =   -7 * (x + 5)

-7 * (x + 5)  = 0

----

-7   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 So

x+5 = 0  

Subtract  5  from both sides of the equation :  

                     x = -5

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Suppose a sample of 256 was taken from a population with a standard deviation of 96 centimeters. What is the margin of error for
astraxan [27]

Answer:

D. 6

Step-by-step explanation:

Here we are given that a sample of 256 was taken from a population with a standard deviation of 96 centimeters i.e. \sigma = 96 and n = 256.

And we have to calculate the margin of error for a 68% confidence interval.

Firstly from z score% table we observe that at 32% level of significance the z score critical value is given by 0.99744 .

<em>And Margin of error formula is given by ;</em>

                        Z_\frac{\alpha}{2} * \frac{\sigma}{\sqrt{n} } = 0.99744 * \frac{96}{\sqrt{256} } = 5.98

Approximately, we get Margin of error = 6.

3 0
3 years ago
Simplify this question:
stiks02 [169]

Answer: 7n - 13

Step-by-step explanation:

Apply the distributive property.

4n + 3n + 3 ⋅ -5 + 2

Multiply 3 by -5

4n + 3n - 15 + 2

Add 4n and 3n

7n - 15 + 2

Add - 15 and 2

7n - 13

hope this helps :)

4 0
3 years ago
Read 2 more answers
There were 144 people in attendance at the school football game last Friday. This week there were 346 people in attendance at th
kotykmax [81]

Answer: 140%

Step-by-step explanation:

STEP 1: FIND THE CHANGE IN # OF PEOPLE:

initial # of people: 144

final # of people: 346

change in # of people = (final - initial)

change in # of people = (346 - 144)

change in # of people = 202

STEP 2: FIND THE % CHANGE

202/144 = x/100

(100)(202/144) = x

100(1.4) = x

140% = x

8 0
3 years ago
Read 2 more answers
Addison is making caramel apples.She has 2 1/2 bags of apples.One full bag has 8 apples,and each apple weighs 5 ounces.Write an
Veseljchak [2.6K]
8*5=40       40*2.5=100 oz.   The number of ounces is 100.
6 0
3 years ago
Read 2 more answers
What is the perimeter of a rectangle below​
Maru [420]

Answer:

7x + 33 -I could be wrong I'm not an expert in maths jus trying to help

Step-by-step explanation:

x + 13 9x-7

so first you need to times both by two because there are two of both sums

2(x+13) so you times both numbers by 2 so

= 2x+26

and do the same with 9x - 7 so

2(9x-7) = 18x - 14

and then you add them together and find the like terms.

Like terms means for example in the equation:

2x + 3x - 4 + 3

the like terms are the two numbers that are the same like 2x and 3x are the same since they are both the same term and since there is a plus sign before the 3x you add them so 5x and then you need to do -4 + 3 = 7 and so the answer is 5x + 7.

In this case its:

2x + 26 + 5x + 7. So the like terms are 2x and +5x and +26 and +7.

So 2x + 5x = 7x and 26 + 7 = 33.

So the final equation is 7x + 33

Hope this helps :D

8 0
3 years ago
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