MATHEMATICS MIDDLE SCHOOL

Isabelle is mixing red paint with blue paint to make purple paint. She adds 3/10 of a fluid ounce of red to 11/15 of a fluid ounce of blue to make1 1/30 fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?A. 2/5
fluid ounce
B. 11/20
fluid ounce
C. 27/31
fluid ounce
D. 1 13/50
fluid ounces

Answers

Answer 1

Answer:

Answer: C. 27/31 fluid ounce

Step-by-step explanation:

First, let's turn the mixed number into a fraction:

$1(1)/(30)=((1*30)+1)/(30) =(31)/(30)$

Then, to solve the problem we can use a simple rule of three:

31/30 ----------3/10

3 ----------- x

This can be read as: If to make 31/30 fluid ounces of purple you need 3/10 fluid ounces of red, then to make 3 fluid ounces of purple how many fluid ounces of red will you need?

$x=(3*(3)/(10) )/((31)/(30) ) =((9)/(10) )/((31)/(30) )=(9*30)/(10*31)=(270)/(310)=(27)/(31)$

So, to make 3 fluid ounces of purple paint, Isabelle will need 27/31 fluid ounces of red paint.

Answer 2

Answer: the answer b-11/20 fluid ounce

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last month you swam the 50-meter freestyle in 28.38 seconds. today you swam it in 27.33 seconds. what is your percent of change?

Answers

The distance is the same(50 meters). So we will operate only with numbers 28.38 and 27.33.
The difference is 28.38-27.33=1.05
So the percent of change is (1.05/28.38)*100%≈3.7%
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You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to order to have enough for 7 days?*

Answers

Answer:
14 cases

Explanation:
First, we will need to find the number of cases needed per day:
We know that one case includes 150 bars and that the daily consumption is 300 bars. To know the number of cases needed daily, we will use cross multiplication as follows:
1 case .............> 150 bars
?? cases .........> 300 bars
number of cases needed daily = $(300*1)/(150)$
number of cases needed daily = 2 cases

Then, we will get the number of cases needed weekly (7 days):
We know that 2 cases are needed daily. To know the number of cases needed weekly (7 days), we will simply use cross multiplication as follows:
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Hope this helps :)

If x=2 is the following inequality true or false?

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Answers

false.
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The owner of a video game store creates the expression −2x2 + 24x + 174 to represent the store's weekly profit in dollars, where x represents the price of a new video game. Choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine the price.−2(x2 − 12x) + 174; x = $12
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−2(x − 6)2 + 246; x = $246
−2(x − 6)2 + 246; x = $6

Answers

Answer:

$-2(x-6)^2+246$ , x = $6

Step-by-step explanation:

The expression $-2x^2+24x+174$ to represent the store's weekly profit in dollars, where x represents the price of a new video game.

Let $f(x)=-2x^2+24x+174$

We need to rewrite this quadratic function in the vertex form.

$f(x)=-2(x^2-12x)+174$

$f(x)=-2(x^2-12x+36)--2(36)+174$

$f(x)=-2(x^2-12x+36)+72+174$

$f(x)=-2(x-6)^2+246$

The equivalent expression that reveals the video game price that produces the highest weekly profit is $-2(x-6)^2+246$

and the price is $6

Answer:

-2(x-6)^2+246; x=$6

Hope it helps!

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Answers

Y=25x+500 that’s the answer

Please i need this asap you get 14 points for answering

Answers

Answer: C

I hope this helps!

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