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Mathematics

1 answer:

vladimir2022 [97]3 years ago

6 0

First, we should find the expression for the number of units produced by Factory B. Since Factory B produces six more than twice the units produced by Factory A, the expression looks like this: 2(x-7)+6.

Now, we can add them together and set them equal to their total output to solve the problem.
(x+7)+2(x+7)+6=177

We solve this equation to find what x equals.
x+7+2x+14+6=177
3x+21+6=177
3x+27=177
3x=177-27
3x=150
x=50

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Can someone please help me with # 2 #13 thanks show work how it's done, please

zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

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4 years ago

In a group of mherchants, 80% of them purchase goods from Asia, and 25% of them purchase goods from Europe. Which of following s

monitta

Answer:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

Step-by-step explanation:

I am going to say that:

A is the percentage of merchants who purchase goods from Asia.

B is the percentage of merchants who purchase goods from Europe.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a merchant purchases goods from Asia but not from Europe and $A \cap B$ is the probability that a merchant purchases goods from both Asia and Europe.

By the same logic, we have that:

$B = b + (A \cap B)$

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?

We already have B.

Knowing $A \cap B$ , that is, the percentage of those who purchase from both Asia and Europe, we can find b.

So the correct answer is:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

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