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vazorg [7]
4 years ago
14

• What is the solution to 5x+ 20 = 7(x+2)?

Mathematics
1 answer:
o-na [289]4 years ago
6 0

For this case we must find the solution of the following equation:

5x + 20 = 7 (x + 2)

Applying distributive property on the right side of the equation we have:

5x + 20 = 7x + 14

Subtracting 7x from both sides of the equation:

5x-7x + 20 = 14\\-2x + 20 = 14

Subtracting 20 from both sides of the equation:

-2x = 14-20

Different signs are subtracted and the major sign is placed.

-2x = -6

Dividing between -2 on both sides of the equation:

x = \frac {-6} {- 2}\\x = 3

Thus, the solution of the equation isx = 3

Answer:

x = 3

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I will give an easy Brainliest! Thank you! :D​
zavuch27 [327]

Answer:

r (100) = 10*p (10)

Step-by-step explanation:

r= 100 pieces of candy

10=10

p=10 pieces of candy

r (100) = 10*p (10)

4 0
3 years ago
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
Studentka2010 [4]

Answer:

8 : 6 = 24 : 18

Step-by-step explanation:

If there were 24 girls in class, there would be 18 boys.

Girls: 8, 16, 24

Boys: 6, 12 , 18

4 0
3 years ago
Read 2 more answers
A publisher reports that 65% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is
muminat

Answer:

z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933  

The p value for this case can be calculated with this probability:

p_v =2*P(z  

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

Step-by-step explanation:

Information given

n=340 represent the random sample taken

\hat p=0.60 estimated proportion of readers owned a laptop

p_o=0.65 is the value that we want to test

z would represent the statistic

p_v{/tex} represent the p valueHypothesis to testWe want to check if the true proportion of readers owned a laptop if different from 0.65
Null hypothesis:[tex]p=0.65  

Alternative hypothesis:p \neq 0.65  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933  

The p value for this case can be calculated with this probability:

p_v =2*P(z  

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

5 0
4 years ago
How long does it take for the account to be worth about $750?
pochemuha

Answer:

if look at the graph and find the point on the graph where the y-value is $750 then you will find your answer. I can give u any more than that cuz i cant really read the graph. look where the y-value is $750 and write the x-value that matches it.

Step-by-step explanation:

7 0
3 years ago
Find the product of z1 and z2, where z1 = 2(cos 80° + i sin 80°) and z2 = 9(cos 110° + i sin 110°)
nekit [7.7K]
ANSWER

z_1 z_2=18( \cos( 190 \degree  )  + i \sin( 190 \degree) )


EXPLANATION

The given complex numbers are;

z_1 = 2( \cos(80 \degree)  + i \sin(80 \degree) )

and


z_2= 9( \cos(110 \degree)  + i \sin(110 \degree) )


Recall the binominal identity for complex numbers in polar form.



z_1 z_2=r_1 r_2( \cos( \theta_1 +\theta_2)  + i \sin(\theta_1 +\theta_2) )



We apply this property to obtain,


z_1 z_2=2 \times 9( \cos( 80 \degree +  110 \degree  )  + i \sin(80 \degree +  110 \degree) )



z_1 z_2=18( \cos( 190 \degree  )  + i \sin( 190 \degree) )

4 0
4 years ago
Read 2 more answers
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