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AnnZ [28]
3 years ago
5

Ten times the sum of half of a number and 6 is 8

Mathematics
1 answer:
Ahat [919]3 years ago
3 0
10\cdot\left(\dfrac{1}{2}x+6\right)=8\ \ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x+60=8\ \ \ \ |subtract\ 60\ from\ both\ sides\\\\5x=-52\ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=-10.4}
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Answer:

Q1:14 Q2:8903.5

Step-by-step explanation:

I find that using equations to solve problems makes it a lot easier.

The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.

So we need to find a value of x that works for each company and a value of y that is the same for the cost.

Now we combine them.

Solve for x:

5743+225.75x=7500+100.25x

-5743                -5743

225.75x= 1757+100.25x

-100.25x           -100.25x

125.50x=1757

/125.5     /125.5

x=14

Therefore, for Q1, the answer is 14.

Now we solve for y by substituting x for 14.

5743+225.75(14)

5743+3160.5

8903.5

We can also check this with the other equation

7500+100.25(14)

7500+1403.5

8903.5

So therefore, the answer to Q2 would be 8903.5.

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Step-by-step explanation:

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