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tester [92]
2 years ago
6

Wow I just learned this :) 2-2 is 4 and 4-4 is 2 now I need help with this one whats 8-8=??

Mathematics
1 answer:
aliya0001 [1]2 years ago
5 0

8-8 is obviously 4. your welcome, no need to thank me for the help.

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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
3 0
3 years ago
james attached a diagonal brace across a rectangular frame that measures 6ft by 8ft what is the length of the diagonal brace
Bogdan [553]
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
4 0
3 years ago
Peter drive 320 miles in 8 hours . calculate his average speed .
Ad libitum [116K]

Answer: 40

Step-by-step explanation:

You will take the miles he drove and divided it by the time it took him to get there

320/8=40

6 0
3 years ago
Read 2 more answers
Which could be the value of the third side of a triangle with sides 3 and 4? A. 3 B. 7 C. 12 D. 20
LiRa [457]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
At the beginning of six grade Kevin was 4’10” tall. at the end of ninth-grade he was 5’9” tall. what was the percentage of incre
tankabanditka [31]

Answer:

<u>Kevin's height increased 19.05%</u>

Step-by-step explanation:

Height of Kevin at the beginning of sixth grade = 4’10”

Height of Kevin at the end of ninth grade = 5’9”

What was the percentage of increase in Kevin height?

For answering this question, we should convert Kevin's heights to decimal number, this way:

1 feet = 12 inches

4’10” = 4 10/12 = 4.83

5’9” = 5 9/12 = 5.75

Now, let's use the Direct Rule of Three:

Height     Percentage

4.83              100

5.75                 x

***********************************

4.83x = 5.75 * 100

4.83x = 575

x = 575/4.83

x = 119.05

119.05 - 100 = 19.05

<u>Kevin's height increased 19.05%</u>

8 0
3 years ago
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