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insens350 [35]
3 years ago
7

Kalon and his friend Marna own a chimney sweep service company. Working together, they can clean a chimney in 1 5/7 hours. If it

takes Kalon 4 hours to clean a 20-foot chimney by himself, how long does it take Marna to clean the same size chimney by herself?
Mathematics
1 answer:
frez [133]3 years ago
3 0
In 1 hour Kalon by himself can clean 1/4 of a chimney.
In one hour Kalon and Marna together can clean
\frac{1}{\frac{12}{7}}=\frac{7}{12}\ of\ a\ chimney
Therefore in 1 hour Marna working alone can clean
\frac{7}{12}-\frac{1}{4}=\frac{1}{3}\ of\ a\ chimney
So, it takes Marna 3 hours to clean a chimney, working by herself.
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Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pou
Nady [450]

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

7 0
3 years ago
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27^{2x+4}=(\frac{1}{9})^{x-46} \\
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6x+2x=92-12 \\
8x=80 \\
x=10
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