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Trava [24]
3 years ago
7

It takes 40 units of maple sap to produce one unit of maple syrup. Jane and her family are bottling maple syrup in 20 oz. bottle

s. She notices that they add about 2 oz. of air every time they fill a bottle, to avoid overfill.
How much maple sap did they need to collect to fill 15 bottles?
oz.
How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
oz.
Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0
If it takes 40 units to make one unit of syrup, that means only 2.5% actually ends up as syrup. So if you have 15 twenty ounce bottles then you have a total of 300 .oz you have to fill. (15x20) so if you need 40 times the amount of maple syrup, you must multiply 300 by 40 which is 12,000 .oz of sap. If you filled each bottle up to 18 oz, you would need 270 oz of syrup. It takes 40 times the amount of sap, so multiply 270 by 40 and get 10,800. Your difference between the two would be 12,000-10,800=1,200

Your first answer is 12,000 oz and your second would be -1,200 oz
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Luden [163]

Step-by-step explanation:

let the first number be x

let the second number be y

½ of the first number= ½x

Double the second; 2*y=2y

the sum... that is ½x+2y=14

8 0
3 years ago
Please help, thanks!
Mamont248 [21]
((-4x^3)(y^4))^-3
--------------------------
(2xy^4)^-4
16x^4y^16
=------------------------
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-y
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So the final answer is:

-y^4
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4x^5

(Btw if "^" is in front of a number, that means it is an exponent, so when your writing this on paper, just write it as a regular exponent without the "^". I had to do that since I'm on a computer.)  

Hopefully this was helpful in some way. 

7 0
4 years ago
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poizon [28]
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5 0
3 years ago
What is the slope of the trend line in the scatterplot? Show work
Tom [10]

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3 0
3 years ago
When testing the differences between means, the null hypothesis suggests that any observed difference is due to?
ollegr [7]

When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

What is hypothesis testing?

Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.

What is a Null hypothesis?

A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.

It is a quantitative analysis. It is denoted by H0.

What is mean?

The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.

Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

Know more about “hypothesis” here: brainly.com/question/17099835

#SPJ4

5 0
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