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Deffense [45]
3 years ago
12

Which expression is equivalent to 0? (a)(-a) a +(-a) a/-a a - (-a)

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0
A+(-a) equals zero because they cancel each other out .

(a)(-a) equals -a
a/-a equals -a
and
a-(-a) equals positive a
cupoosta [38]3 years ago
6 0

Answer:

a - a or (a +(-a))

Step-by-step explanation:

A negative plus a positive is always zero if they have the same variable.

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The ratio of the number of cups of apple juice to lemon-lime soda is 6:1.

If there is a point on the graph at (1, 6), where the x-coordinate the number of cups of lemon-lime soda and y-coordinate is the number of cups of apple juice, you can deduce the ratio (6 cups of apple juice for 1 cup of lemon-lime soda). 

As you imagine on the graph, this pattern continues, with 2 cups of lemon-lime soda for 12 cups of apple juice, that simplifies to 1 cup of lemon-lime soda for 6 cups of apple juice. Since the question asks for the ratio of apple juice to lemon-lime soda, you just reverse the values and get 6:1
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3 years ago
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A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice. A. How much sparkling w
cluponka [151]

Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.

Step-by-step explanation:

Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.

Since, for recipe of sparkling grape juice , they should be used in same proportion.

Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

\frac{x}{9}=\frac{1.5}{0.75}\\\Rightarrow\ x=\frac{1.5\times9}{0.75}\\\Rightarrow\ x=18

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

\frac{3.75}{y}=\frac{1.5}{0.75}\\\Rightarrow\ y=\frac{3.75\times0.75}{1.5}\\\Rightarrow\ y=1.875

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.


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