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11Alexandr11 [23.1K]
3 years ago
8

Martha's mom is making party bags for all of her party guests.She has 24 green gum balls and 33 blue gum balls If she wants to s

plit them evenly between all the bags without any leftovers how many bags can she make?
Mathematics
1 answer:
Goryan [66]3 years ago
6 0
She can make 13 bages
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Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4
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Answer:

y=4x^{3}

Step-by-step explanation:

It is known that,

<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>

The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

As, we have the function y=x^{3} which is stretched by a factor of 4.

Thus, the new function will be y=4x^{3}.

Hence, the equation for the vertical stretch is y=4x^{3}.

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3 years ago
In the following exercises, solve
yKpoI14uk [10]

Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

  • The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
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Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$

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What is the equation of the line in the slope intercept form?
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Answer:

y = mx+b is the equation for slope-intercept form

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m=slope

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3 years ago
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Answer:

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Hope this helps!

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