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3 years ago

Steps for solving 5(2x - 8) = 20 are shown.

Mathematics

1 answer:

kykrilka [37]3 years ago

3 0

Answer: D. Using the commutative property

explanation: you use the distributive property to get 10x-40. to combine like terms you add 40 to -40 and 20. and you decide 10 by both sides to get x by itself and the answer on the other side which equals 6.

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Which equations are true?

liberstina [14]

Answer:

B. D. E.

Step-by-step explanation:

A. False

${15}^{0} = 1$

B. True

$( {8}^{3} )( {8}^{6} ) = {8}^{(3 + 6)} = {8}^{9}$

C. False

${5}^{2} = 25$

D. True

$( {6}^{5} )^{3 } = {6}^{15}$

E. True

$\frac{ {3}^{7} }{ {3}^{9} } = {3}^{(7 - 9)} = {3}^{ - 2}$

3 0

3 years ago

Max is going to paint the four walls of his room. Two of the walls are 15 feet long by 8 feet high. The other two walls are 30 f

GenaCL600 [577]

(4×12$)+(1×8)=56$ is the cost

7 0

4 years ago

Find the exact solution to the equation. <img src="https://tex.z-dn.net/?f=log_%7B4%7D%20x%3D2" id="TexFormula1" title="log_{4}

Ilia_Sergeevich [38]

Answer:

x = 16

Step-by-step explanation:

log₄ˣ = 2

x = 4²

x = 16

8 0

3 years ago

Katie is building a rectangular wall. The wall will be 332 bricks wide and 39 bricks tall. She has 15,000 bricks. Does she have

agasfer [191]

Katie has enough bricks because it only takes 12,948 bricks to build the wall. To get 12,948, you will multiply 332 by 39. So basically you are multiplying the width by how tall it is.

4 0

4 years ago

Read 2 more answers

A survey was conducted that asked 1003 1003 people how many books they had read in the past year. results indicated that x overb

kirill115 [55]

The confidence interval is

$10.5\pm1.35 = (9.15, 11.85)$ . This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.

To find the confidence interval, we first find the z-score associated with it:

Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.

We calculate the margin of error using

$ME=z*\frac{s}{\sqrt{n}}
\\
\\=2.575*\frac{16.6}{\sqrt{1003}}=1.35$

This means that the confidence interval is
$10.5\pm1.35$

The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85

5 0

3 years ago