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Effectus [21]
2 years ago
14

What is 5(x-6)+2=7x-6

Mathematics
1 answer:
kvasek [131]2 years ago
7 0

Answer:

x = -11

Step-by-step explanation:

5(x-6)+2 = 7x-6\\5x -30 +2 = 7x - 6\\5x -28 = 7x -6 \\5x - 28 + 6 = 7x -6 +6 \\5x -22 = 7x\\5x -5x -22 = 7x - 5x\\-22 = 2x\\-22 / 2 = 2x / 2\\-11 = x

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Step-by-step explanation:

6 0
2 years ago
Solve for x <br> 4(x+7)=5x+8
wel

Step-by-step explanation:

4x+28=5x+8

x=20

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8 0
2 years ago
Read 2 more answers
In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yell
Viktor [21]

Answer:

3/10 of the aquarium are yellow tangs.

Step-by-step explanation:

Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:

2/5 = 0.40

0.40 x 3/4 = X

1.20 / 4 = X

0.30 = X

0.30 = 3/10

Therefore 3/10 of the aquarium are yellow tangs.

5 0
3 years ago
Lucy has 4 inches of ribbon that she wants to cut into 6 equal sized pieces. What is true about the length of each piece of ribb
PolarNik [594]

Answer:

Option C

Step-by-step explanation:

Given

Total length of ribbon lucy has=4 inches

She wants to divide it into 6 equal sized pieces so  

Length of each piece=4/6

This can also be written as:

Length of each piece=4*(1/6 )

Now we will look at the options one by one:

For A, Each piece has 6/4 inches of ribbon.. This statement is not true as we have to divide 4 inches into 6 pieces so 4 is supposed to be in the numerator.

For B, breaking down 4/6 gives us 4*(1/6), so the statement is not true.

For C , as we can see that the expression is 4*(1/6), each piece will have 1/6 of inches of ribbon.

So option C is the correct answer..

6 0
2 years ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

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

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
3 years ago
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