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2 years ago

15

Ms. johnson's class is having a pizza party. if there are 14 students and 7 pizzas cut into 8 slices, what answer choice represe

nts the fraction of one pizza that each student receives?

1 answer:

Lubov Fominskaja [6]2 years ago

8 0

We are asked about the fraction of pizza each student gets, so the relevant numbers here is only 14 students and 7 pizzas. SO the fraction of pizza each student get is the ratio of the two:

fraction = 7 pizzas / 14 students

fraction = 1 / 2

<span>So each student gets 1/2</span>

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serious [3.7K]

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3 years ago

In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of an

lbvjy [14]

<h2>Answer: 55 degrees</h2>

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles $\theta$ , $\alpha$ and $\beta$ :

$\theta+\alpha+\beta=180\º$

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

$XYZ+YXZ+XZY=180\º$

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$XZY=180\º-50\º-75\º$

Finally:

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2 years ago

Read 2 more answers

Consider function f.

tekilochka [14]

Given:

The function is:

$f(x)=\sqrt{7x-21}$

To find:

The steps of finding the inverse function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=\sqrt{7x-21}$

The steps of finding the inverse function are:

Step 1: Substitute $f(x)=y$ .

$y=\sqrt{7x-21}$

Step 2: Interchange x and y.

$x=\sqrt{7y-21}$

Step 3: Taking square on both sides, we get

$x^2=7y-21$

Step 4: Adding 21 on both sides, we get

$x^2+21=7y$

Step 5: Divide both sides by 7.

$\dfrac{1}{7}x^2+3=y$

Step 6: Substitute $y=f^{-1}(x)$ .

$\dfrac{1}{7}x^2+3=f^{-1}(x)$ , where $x\geq 0$ .

Therefore, the inverse of the given function is $f^{-1}(x)=\dfrac{1}{7}x^2+3$ and the arrangement of steps is shown above.

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2 years ago

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mojhsa [17]

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