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2 years ago

Chef Jess made a cake with an area of 93 1/2 inches if the width of the cake was 8 1/2 inches what was the length of the cake

Mathematics

1 answer:

dybincka [34]2 years ago

6 0

Answer:

L= 11

Step-by-step explanation:

Formula to find the length when you know the area:

L = A/W

So the equation for this one is:

L = 93 1/2 ÷ 8 1/2

Simplify:

L = 11

To be sure of your answer you multiply the L x W = A

11 x 8 1/2 = 93 1/2

Hope this helped : D

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A and B working together can do a work in 6 days. If A takes 5 days less than B to finish the work, in how many days B alone can

svetlana [45]

Answer:

15 days

Step-by-step explanation:

Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.

In 1 day,

A completes $\dfrac{1}{x-5}$ of all work;
B completes $\dfrac{1}{x}$ of all work.

Hence, in 1 day both A and B complete $\dfrac{1}{x-5}+\dfrac{1}{x}$ of all work. A and B working together can do a work in 6 days. Then

$6\cdot \left(\dfrac{1}{x-5}+\dfrac{1}{x}\right)=1.$

Solve this equation:

$\dfrac{6x+6x-30}{x(x-5)}=1,\\ \\12x-30=x^2-5x,\\ \\x^2-17x+30=0,\\ \\D=(-17)^2-4\cdot 30=289-120=169=13^2,\\ \\x_{1,2}=\dfrac{17\pm 13}{2}=2,\ 15.$

If $x=2,$ then $x-5=-3$ that is impossible. So, B needs 15 days to complete the work alone.

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