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3 years ago

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Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut

ion. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 15% alcohol solution should Bruce use?

1 answer:

givi [52]3 years ago

3 0

10%=30 15%=20 I hope this helps <3

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If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will

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Answer:

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Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

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$Total = 4 + 5 + 3 + 3$

$Total = 15$

Represent the triangle with T and square with S

So, we're solving for P(T n S)

$P(T\ n\ S) = P(T) * P(S)$

Solving for P(T)

$P(T) = \frac{n(T)}{Total}$

$P(T) = \frac{5}{15}$

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

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$P(S) = \frac{n(S)}{Total}$

$P(S) = \frac{3}{14}$

Recall that

$P(T\ n\ S) = P(T) * P(S)$

$P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}$

$P(T\ n\ S) = \frac{15}{15 * 14}$

$P(T\ n\ S) = \frac{1}{14}$

Hence, the required probability is

$P(T\ n\ S) = \frac{1}{14}$

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Suppose you have a score of 35 in a game. On your next turn, you get a 50-point penalty. What is your new score?

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Find the length of CU, the triangles are similar.

Otrada [13]

Answer:

CU = 117

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

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36x = 144 ( divide both sides by 36 )

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Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f

Marrrta [24]

Answer:

$\frac{48}{r+9}=\frac{12}{r}$

Step-by-step explanation:

Let r represent Linda's walking rate.

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Since both times are equal, so we will get:

$\frac{48}{r+9}=\frac{12}{r}$

Therefore, the equation $\frac{48}{r+9}=\frac{12}{r}$ can be used to solve the rates for given problem.

Cross multiply:

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Therefore, Linda's walking at a rate of 3 miles per hour.

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Therefore, Linda's riding the bike at a rate of 12 miles per hour.

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