A factory packages 4250 boxes of cereal. The number of oat cereal boxes is 715 more than the number of wheat cereal boxes. The number of fruit cereal boxes is 5 times the number of wheat cereal boxes. How many fruit cereal boxes does the factory package.

Answers

Answer 1

Answer: o = number of oat cereal, w = number of wheat cereal, f = number of fruit cereal:

o + w + f = 4250
o = w + 715
f = 5w

The second equation tells us the value of o in terms of w, and the third equation tells us the value of f in terms of w, so we can plug in "w + 715" for o and "5w" for f in the first equation:

o + w + f = 4250
(w + 715) + w + (5w) = 4250

Then, add like terms and subtract and divide to isolate the w:

w + 715 + w + 5w = 4250
7w + 715 = 4250 Subtract 715 on both sides:
7w = 3535 Divide by 7 on each side:
w = 505

Now that we have w, we can plug it into the last equation to find f, the number of fruit cereal boxes:

f = 5w
f = 5(505)
f = 2525

Therefore, the factory packages 2525 fruit cereal boxes.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. A) y = 1/2 x + 5
B) y = 1/2 x - 3
C) y = 1/2 x - 5
D) y = 1/2 x + 3

Answers

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2.
A) y = 1/2 x + 5
B) y = 1/2 x - 3
C) y = 1/2 x - 5
D) y = 1/2 x + 3

we only need to put the values and find the equation

$y=(1)/(2)*x+5$

$-4=(1)/(2)*2+5$

$-4=6$

False

$y=\frac{}{}*x-3$

$y=(1)/(2)*x-3$

$-4=(1)/(2)*2-3$

$-4=-2$

False

$y=(1)/(2)*x-5$

$-4=(1)/(2)*2-5$

$-4=-4$

True

$y=(1)/(2)*x+3$

$-4=(1)/(2)*2+3$

$-4=4$

False

$\boxed{\boxed{\therefore~the~equation~that~represents~the~line~is~~C}}$

$\left \{ {{y=-4}\atop{x=2}}\right. \n \n A)\n -4=\frac12 \cdot 2+5\n -4=1+5\n -4=6\n No\n \n B)\n -4=\frac12 \cdot 2-3\n -4=1-3\n -4=-2\n No\n\n C)\n -4\frac12 \cdot 2-5\n -4=1-5\n -4=-4\n Yes\n \n D)\n -4=\frac12 \cdot 2+3\n -4=1+3\n -4=4\n No\n \n Answer:C$

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Answers

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