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Alenkasestr [34]
3 years ago
15

Simplify the expression: 52 – [30 – 2(7 – x)].

Mathematics
1 answer:
adoni [48]3 years ago
6 0
Let's simplify step-by-step.<span>52−<span>(<span>30−<span>2<span>(<span>7−x</span>)</span></span></span>)

</span></span>Distribute the Negative Sign:<span>=<span>52+<span><span>−1</span><span>(<span>30−<span>2<span>(<span>7−x</span>)</span></span></span>)</span></span></span></span><span>=<span><span>52+<span><span>(<span>−1</span>)</span><span>(30)</span></span></span>+<span><span>−1</span><span>(<span>−<span>2<span>(<span>7−x</span>)</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span>52+</span>−30</span>+</span>−<span>2x</span></span>+14

</span></span>Distribute:<span>=<span><span><span><span><span>52+</span>−30</span>+</span>−<span>2x</span></span>+14

</span></span>Combine Like Terms:<span>=<span><span><span>52+<span>−30</span></span>+<span>−<span>2x</span></span></span>+14</span></span><span>=<span><span>(<span>−<span>2x</span></span>)</span>+<span>(<span><span>52+<span>−30</span></span>+14</span>)</span></span></span><span>=<span><span>−<span>2x</span></span>+36

</span></span>Answer:<span>=<span><span>−<span>2x</span></span>+<span>36

Good luck mate :P
</span></span></span>
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If h + 12 =22, then h= 10. name the property
pshichka [43]

Answer:

substitution

Step-by-step explanation:

5 0
3 years ago
Find two consecutive odd integers such that 32 more than the lesser is three times the greater​
Maslowich

Answer:

First odd number  = 13

Second odd number  = 15

Step-by-step explanation:

Let

First odd number  = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33      (sign of transferred terms will be changed)

-4x = -24    

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number  = 2x + 1 =  2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

4 0
3 years ago
PLEASE HELP
harina [27]
Ok I’m im not sure you can ask someone else sorry
3 0
3 years ago
For the following hypothesis test, H0: μ ≥ 150Ha: μ &lt; 150​the test statistic a. must be positive. b. must be negative. c. can
Virty [35]

Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation      

\bar X represent the sample mean    

s represent the standard deviation for the sample      

n sample size      

\mu_o =150 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is lower than 150, the system of hypothesis would be:      

Null hypothesis:\mu \geq 150      

Alternative hypothesis:\mu < 150      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

7 0
3 years ago
What is the answer to this
Gwar [14]
The slope of this line is 0, it would be undefined if the line were vertical
4 0
3 years ago
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