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Anestetic [448]
3 years ago
6

The ratio of boys to girls is 40:56 what is the ratio in lowest terms

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0
The answer is 5:7. 
Hope this helps
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Courtney wants to sell her grandfathers antique 1932 Ford. She begins to set her price by
mixer [17]

Answer:

$21,920

Step-by-step explanation:

you have to add each number then divide by number of items.

6 0
3 years ago
What are the key features of the equation y = (x + 12)(x + 6)?
Juli2301 [7.4K]

Answer:

The answer is option A

The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).

Hope this helps.

3 0
3 years ago
A boy thinks he has discovered a way to drink extra orange juice without alerting his parents. For every cup of orange juice he
mina [271]

Answer:

<em>x=4.8473 cups</em>

Step-by-step explanation:

<u>Concentration of Liquids </u>

It measures the amount of substance present in a mixture, often expressed as %. If there is an volume x of a substance in a total volume mix of y, the concentration is given by

\displaystyle C=\frac{x}{y}

It we take a sample of that mixture, we must consider that we are getting only the substance, but all the mixture (assumed it has been uniformly mixed). For example, if we take a glass of liquid from a 80% mixture of juice, the glass will also have a 80% of juice.

Let's solve the problem sequentially. At first, let's assume all the container is full of x cups of juice. Its concentration is 100%. Now let's take 1 cup of pure juice and replace it by 1 cup of pure water. The new amount of juice in the container is

x-1 cups of juice.

The new concentration is

\displaystyle \frac{x-1}{x}

The boy takes a second cup of liquid, but this time it's not pure juice, it has a mixture of juice and water with a concentration computed above. Now the amount of juice is

\displaystyle x-1-\frac{x-1}{x} cups of juice.

Simplifying, the cups of juice are

\displaystyle \frac{\left (x-1\right)^2}{x}

The new concentration is

\displaystyle \frac{\left (x-1\right)^2}{x^2}

For the third time, we now have

\displaystyle \frac{\left (x-1\right)^2}{x}-\frac{\left (x-1\right)^2}{x^2} cups of juice.

Simplifying, the final amount of juice is

\displaystyle \frac{\left (x-1\right)^3}{x^2}

And the final concentration is

\displaystyle \frac{\left (x-1\right)^3}{x^3}

According to the conditions of the question, this must be equal to 50% (0.5)

\displaystyle \frac{\left (x-1\right)^3}{x^3}=0.5

Taking cubic roots

\displaystyle \sqrt[3]{\frac{\left (x-1\right)^3}{x^3}}=\sqrt[3]{0.5}

\displaystyle \frac{\left (x-1\right)}{x}=\sqrt[3]{0.5}

Operating and joining like terms

\displaystyle x-\sqrt[3]{0.5}\ x=1

Solving for x

\displaystyle x=\frac{1}{1-\sqrt[3]{0.5}}

x=4.8473\ cups

Let's test our result

Final concentration:

\displaystyle \frac{\left (4.8473-1\right)^3}{4.8473^3}=0.5

6 0
3 years ago
9, 11, 13, 15, 17, 19, .
Alexus [3.1K]

Answer:

+2

Step-by-step explanation:

kinda obvious

6 0
3 years ago
One of the altitudes of the parallelogram shown is StartRoot 22.5 EndRoot units. What is the length of the other altitude?
aksik [14]

Answer:

the length of the other altitude of the given parallelogram will be 6 units and option B is the correct choice.

6 0
2 years ago
Read 2 more answers
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