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maxonik [38]
3 years ago
9

Write the ratio as a fraction in simplest form. 51 correct : 9 incorrect The ratio as a fraction in simplest form is.

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:

Ratio as a fraction in simplest form is, \frac{\text{17 correct}}{\text{3 incorrect}}

Step-by-step explanation:

Ratio defined as the relationship between the quantities of something i.e,

a: b = \frac{a}{b}

Given: 51 correct : 9 incorrect

By definition of ratio:

51 correct : 9 incorrect = \frac{\text{51 correct}}{\text{9 incorrect}}

Divide both numerator and denominator by 3 we get;

\frac{\text{17 correct}}{\text{3 incorrect}}

then

The ratio as a fraction in simplest form  is, 17 correct : 3 incorrect or \frac{\text{17 correct}}{\text{3 incorrect}}


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Hi.

First, I am going to give you some definitions.This will help you do the problems.

-Complementary angles have a combined sum of 90.

- Supplementary angles have a combined sum of 180.

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Make sure you learn the definitions properly next time!

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The product of (4z^2 + 7z - 8) and (-z + 3) is -4z^3 + xz^2 + yz - 24. What is the value of x? What is the value of y?
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Answer:

x=5+\frac{29}{z}-\frac{y}{z}

y=5z+29-xz

Step-by-step explanation:

Given: (4z^2+7z-8)(-z+3)=-4z^3+xz^2+yz-24; find x and y.

Let's start with finding x first. Let's distribute the left side of the equation.

-4z^3+5z^2+29z-24=-4z^3+xz^2+yz-24

Let's move everything we can to the left side of the equation. Some things will cancel out.

5z^2+29z=xz^2+yz

Now, let's move the term that includes x to the left side of the equation. Everything else should be moved to the right.

-xz^2=-5z^2-29z+yz

Let's get rid of the negative sign in front of x by dividing both sides by -1.

xz^2=5z^2+29z-yz

To get x completely isolated, divide both sides by z^2.

\frac{xz^2}{z^2}=\frac{5z^2}{z^2}+\frac{29z}{z^2}-\frac{yz}{z^2}

Simplify.

x=5+\frac{29}{z}-\frac{y}{z}

Let's solve for y. We will start with the distributed and simplified equation to make it easier.

5z^2+29z=xz^2+yz

Now, let's move the term that includes y to the left side of the equation. Everything else should be moved to the right.

-yz=-5z^2-29z+xz^2

Again, let's get rid of the negative sign in front of the y by dividing both sides by -1.

yz=5z^2+29z-xz^2

To isolate y, divide both sides by z.

\frac{yz}{z}=\frac{5z^2}{z}+\frac{29z}{z}-\frac{xz^2}{z}

Simplify.

y=5z+29-xz

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