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Ede4ka [16]
3 years ago
6

To make lemonade, Kate uses 1 cup of lemon juice and 2 cups sugar. If she makes a larger amount of lemonade with 10 cups of suga

r, how many cups of lemon juice does she need?
Mathematics
2 answers:
enot [183]3 years ago
6 0

Answer:

5 is the answer hope this helps!

Step-by-step explanation:

juin [17]3 years ago
5 0
For this problem, I will use diagram.
First if all, we know that Kate used 1 cup of lemon juice and 2 cups sugar, so we have this:
1 cup of lemon juice=2 cups sugar
Then, the problem asked to find how many cups of lemon juice does Kate needs with 10 cups of sugar, and now we have have the complete tree diagram

1 cup of lemon juice= 2 cups of sugar
?cups of lemon juice=10 cups of sugar
Step 1:
Use cross multiply
10×1=10
Step 2:
Use division
10÷2=5
As a result, Kate will need 5 cups of lemon juice with 10 cups sugar
But there is another way to find the answer, too. If you curious, here is the second way:
The ratio between cup of sugar/cup of lemon juice, so
2 cups of sugar/1 cup of lemon juice. In conclusion, Kate use double amount of sugar than lemon juice, so the question asked us to find how many cups of lemon juice does Kate needs with 10 cups sugar. To find the answer, take 10÷2=5 cups of lemon of juice is your final answer. Hope it help!
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Answer:

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Step-by-step explanation:

The given equation of line is

3x+6y=-18

We need to find the slope of a line which is perpendicular to the given line.

The given equation can be rewritten as

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If a line is defined as ax+bx+c=0, then the slope of the line is  

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In equation (i), a=3, b=6 and c=18. So, slope of the line is

m_1=-\dfrac{3}{6}=-\dfrac{1}{2}

Let m_2 be the slope of perpendicular line.

We know that product of two perpendicular line is -1.

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Multiply both sides by -2.

m_2=2

Therefore, the slope of perpendicular line is 2.

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