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Ulleksa [173]
3 years ago
7

Kellogg's produced 715000 boxes of cornflakes this year. This was 110% of annual production last year. What was last year's annu

al production?
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0
Let last year product be x boxes.

110% of x means \displaystyle{  \frac{110}{100}\cdot x.

Thus, we solve the equation:

                                  \displaystyle{ \frac{110}{100}\cdot x=715,000.

Multiplying both sides by  \displaystyle{ \frac{100}{110}, we have:

                    \displaystyle{ x=715,000 \cdot \frac{100}{110}=650,000.


Answer: Last <span>year's annual production was 650,000 boxes.</span>
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Solve each equation by completing the square. Write both answers separately.
Veronika [31]

Answer:

Now we can solve a Quadratic Equation in 5 steps: Step 1 Divide all terms by a (the coefficient of x 2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

7 0
3 years ago
There are two similar purses. The blue purse has a volume of 837 cm? and the red purse has a volume of 248 cm3, If the width of
Sunny_sXe [5.5K]

The width of the blue purse that is similar to the red purse is approximately 50.6 cm.

<h3>How to Determine the Linear Measurement and Volume of Similar Solids?</h3>

If two solids, A and B, has a linear measure a and b respectively, and they are both similar to each other, the ratio of their volumes and their linear measures would be expressed as:

Volume of solid A/volume of solid B = a³/b³.

We are given two purses that are similar to each other:

Volume of Blue purse = 837 cm³

Volume of Red purse = 248 cm³

Width of Red purse = 15 cm

Let width of Blue purse be = x

Therefore we would have the following ratio:

Volume of blue purse/volume of red purse = (width of blue purse)³/(width of red purse)³

Plug in the values

837/248 = x/15

Cross multiply

(248)(x) = (837)(15)

248x = 112,555

Divide both sides by 248

248x/248 = 112,555/248

x = 50.6 cm

The width of the blue purse is approximately 50.6 cm.

Learn more about volume of similar solids on:

brainly.com/question/16599646

#SPJ1

3 0
2 years ago
HELP ME PLEASE IT IS MATH
Marysya12 [62]

Answer:

*draws a cat*

Step-by-step explanation:

3 0
3 years ago
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Jim drove 153 miles in 3 hours. If he can keep the same pace, how long will it take him to drive 1377 miles?
tino4ka555 [31]
9 hours is how long to get to 1377 miles
4 0
3 years ago
6W - 12x + 7w - 8x =
REY [17]
6W (-12x) + 7W (-8x) = 13W - 20x
Explanation:
6W + 7W = 13W
-12x - 8x = -20x
6 0
3 years ago
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