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Helen [10]
2 years ago
14

The ratio of parts water to parts lemon juice in lemonade is 5:2. If quinten has 10 cups of lemon juice, how many cups of water

will he need?
Mathematics
2 answers:
Vesnalui [34]2 years ago
7 0
Ratio of Water to Lemon = 5/2
So, it would be: 5/2 = x/10
x = 10*5 /2
x = 50/2
x = 25

In short, Your Answer would be 25 cups of water

Hope this helps!
Vlad1618 [11]2 years ago
7 0
Five is to 2 as X is to10 ratio 5 X
_ _ = 25
<span>2 10</span>
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In a West Texas school district the school year began on August 1 and lasted until May 31. On August 1 a Soft Drink company inst
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Answer:

$95.78

Step-by-step explanation:

f(t) = 300t / (2t² + 8)

t = 0 corresponds to the beginning of August.  t = 1 corresponds to the end of August.  t = 2 corresponds to the end of September.  So on and so forth.  So the second semester is from t = 5 to t = 10.

$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt

$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt

$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt

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2 years ago
A right pyramid with a square base has a base edge length of 12 meters and slant height of 6StartRoot 2 EndRoot meters. The apot
Jet001 [13]

Answer:

Volume of the right pyramid = 288 m²

Step-by-step explanation:

Volume of the pyramid = \frac{1}{3}\times {\text{Area of the rectangular base}\times height(h)

From the ΔAOB,

By Pythagoras theorem,

AB² = AO² + OB²

(6√2)² = AO² + (6)²

72 = AO² + 36

AO = √(36) = 6 m

Since base of the pyramid is a square so area of the base = (Length × Width) = (side)²

Now volume of the pyramid = \frac{1}{3}[(Length)(width)]\times height

                                               = \frac{1}{3}(12\times 12)\times 6

                                               = 288 m²

Therefore, volume of the right pyramid is 288 m².

6 0
2 years ago
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How many ounces of pure nickel must be added to 150 ounces of alloy 70% pure to make an alloy which is 85% pure?
galben [10]

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = \frac{105+x}{150+x} =85%

Simplify to get

\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150

Hence answer is 150 oz should be added.

6 0
2 years ago
Which of the following rational functions is graphed below?
AlekseyPX

Answer:

The rational function that is graphed is B

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Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us
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The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

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The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

3 0
2 years ago
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