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jok3333 [9.3K]
3 years ago
6

To get the correct color, johan mixed 3 1/4 quarts of white paint, 1 2/4 quarts of blue paint, and 2 3/4 quarts of green paint h

ow much paint did johan make
Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

Answer:

see below   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

3 1/4 + 1 2/4 + 2 3/4      =   13/4 +  6/4  +  11/4   = 30/4 = 7 2/4 = 7 1/2 quarts

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If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.​
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Answer:

y = 3\, \sqrt{5} when x = 9.

Step-by-step explanation:

The question states that y is proportional to \sqrt{x}. In other words, there is a constant a (a \ne 0) such that y = a\, \sqrt{x} for all x \ge 0.

The question also states that y = x when x = 5. Make use of this equality to find the value of a.

Since x = 5 and y = x, it must be true that y = 5. Substitute x = 5\! and y = 5\! into the equation y = a\, \sqrt{x} and solve for a:

5 = a\, \sqrt{5}.

\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}.

Thus, y = \sqrt{5}\, (\sqrt{x}) for all x \ge 0.

Substitute in the value x = 9 to find the corresponding value of y:

\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}.

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