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MAXImum [283]
3 years ago
14

The ratio (by volume) of salt and sugar in a certain mixture is 4 to 8. If the total volume of the solution is 300 cubic feet, w

hat is the volume of sugar in the mixture?
Mathematics
1 answer:
Tatiana [17]3 years ago
8 0
You will use the ratio 4:8 to create a part to part to whole ratio.

First simplify 4:8 to 1:2, then make it 1:2:3 (Salt:Sugar:Total).

Use this to find the volume of sugar.  2 sugars for every 3 total would be equivalent to 200 cubic feet of sugar for every 300 total cubic feet.
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Find x and y 30 points
Vika [28.1K]

Since the two triangles are similar

\frac{5 + x}{5}  =  \frac{7 + y}{7}  =  \frac{10}{8}  \\ \implies \frac{5 + x}{5}  =  \frac{10}{8}  \\ \implies x =  \frac{50}{8}  - 5 =  \frac{50 - 40}{8}  =  \frac{10}{8}   =  \frac{5}{4} \\  \therefore x =   \frac{5}{4}

Also,

\\ \frac{7 + y}{7}  =  \frac{10}{8}  \\ \implies y =  \frac{70}{8}  - 7 =  \frac{70 - 56}{8}  \\  \therefore y =   \frac{14}{8}  =  \frac{7}{4}

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3 years ago
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Find the equation of the tangent to the circle x2 + y2 = 109 at point (-10,3)
konstantin123 [22]

Answer:

10x - 3y = -109 .

Step-by-step explanation:

x^2 + y^2 = 109

Implicit Differentiation:

2x + 2y.y' = 0

y' = -2x/2y = -x/y

So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.

Equation of the tangent:

y - y1 = m(x - x1)

y - 3 = 10/3(x + 10)

y - 3 = 10/3 x + 100/3

3y - 9 = 10x + 100

-109 + 3y = 10x

10x - 3y = -109  

4 0
2 years ago
Cuál será la razón entre la cantidad de lejía y la cantidad de agua, si la taza contiene 200 ml (mililitros) y cada litro es 100
tatyana61 [14]

Answer:

Ratio of bleach and water = 1:4

Relación de lejía y agua = 1:4

Step-by-step explanation:

English Translation

What will be the ratio between the amount of bleach and the amount of water, if the filled, 1 L cup contains 200 ml (milliliters) of bleach and each liter is 1000 ml (milliliters)

The cup contains 1000 mL of liquid.

The cup contains 200 mL of bleach and given that the rest is water, there are (1000 - 200) mL of water in the cup.

Amount of bleach in cup = 200 mL

Amount of water in cup = 800 mL

Ratio of bleach to water = 200:800

divide by the least number

Ratio of bleach to water = 1:4

In Spanish/En español

La taza contiene 1000 ml de líquido. La taza contiene 200 ml de lejía y dado que el resto es agua, hay (1000 - 200) ml de agua en la taza.

Cantidad de lejía en taza = 200 ml

Cantidad de agua en taza = 800 ml

Relación de lejía a agua = 200:800

dividir por el menor número

Relación de lejía a agua = 1:4

Hope this Helps!!!

8 0
3 years ago
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