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harina [27]
2 years ago
12

7.6.7. Homer began peeling a pile of 44 potatoes at the rate of 3 potatoes per minute. Four minutes later, Christen joined him a

nd peeled at the rate of 5 potatoes per minute. When they finished, how many potatoes had Christen peeled?
Mathematics
1 answer:
Naya [18.7K]2 years ago
4 0

Answer:

When they finished, the number of potatoes had Christen peeled is 20 potatoes.

Step-by-step explanation:

Given:

Homer began peeling a pile of 44 potatoes at the rate of 3 potatoes per minute.

Four minutes later, Christen joined him and peeled at the rate of 5 potatoes per minute We have to find the number of potatoes Christen has peeled.

Step 1 of 1

Homer peels 3 potatoes a minute, so in the four minutes he works alone, he peels $3 \cdot 4=12$ potatoes.

This leaves 44-12=32 potatoes for them to peel together.

Together, they peel 3+5=8 potatoes per minute, so they need

$\frac{32 \text { potatoes }}{8 \frac{\text { potatuos }}{\text { minute }}}=4$minutes

to peel the rest of the potatoes.

Christen peels 5 potatoes a minute for 4 minutes, so she peels $5 \cdot 4=20$ potatoes.

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2 years ago
If 2a+3b=12 and ab=6 find the value of 8a^3+27b^3
Alex17521 [72]
<span>A) 2a + 3b = 12
B) ab = 6 solving for a
B) a = 6 / b then we substitute this into equation A)
</span><span>A) 12 / b + 3b = 12  </span><span>multiplying this by "b"
A) 12 + 3b^2 = 12b
A) 3b^2 -12b +12= 0 dividing by "3"
A) b^2 -4b + 4 = 0
Factoring
(b-2) * (b-2) = 0
b = 2
Since b = 2 then a = 3

</span>NOW, we put these numbers into:
<span>8a^3 +27b^3 </span>
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The answer is 512


6 0
3 years ago
Read 2 more answers
write the standard form of the equation of the circle with endpoints of a diameter at the points (9,2) and (-7,5)
AnnyKZ [126]

Answer:

Step-by-step explanation:

Answer:

(x-1)²+(y-3.5)² = 265/4

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+-7)/2, (2+5)/2

(1, 3.5) = center

then distance formula to find diameter

√(9- -7)²+(2-5)²=√256+9 = √265

The radius is half the diameter = (√265)/2

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

(x-1)²+(y-3.5)² = 265/4

4 0
4 years ago
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juin [17]

Answer:

- first option is incorrect

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Step-by-step explanation:

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3 years ago
What is a rounded number to 37.510
TiliK225 [7]
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