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Vlada [557]
3 years ago
15

A manufacturer determines that the cost of making a computer component is ​$2.252525. Write the repeating decimal cost as a frac

tion and as a mixed number.
Mathematics
1 answer:
Vlad [161]3 years ago
3 0
A manufacturer determines that the cost of making a computer component is ​$4.191919. Write the repeating decimal cost as a fraction and as a mixed number.
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Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=
ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

4x-y-2z=-8\\-2x+4z=-4\\x+2y=6

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

-2x+4z=-4

First, divide everything by -2 to simplify things:

x-2z=2

Subtract x from both sides. The xs on the left cancel:

(x-2z)-x=2-x\\-2z=2-x

Now, divide everything by -2 to isolate the z:

z=-\frac{2-x}{2}

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

x+2y=6

Subtract x from both sides:

2y=6-x

Divide both sides by 2:

y=\frac{6-x}{2}

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8

Distribute the third term. The -2s cancel out:

4x-(\frac{6-x}{2})+(2-x)=-8

Since there is still a fraction, multiply everything by 2 to remove it:

2(4x-(\frac{6-x}{2})+(2-x))=2(-8)

Distribute:

8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16

Combine like terms:

8x+x-2x-6+4=-16\\7x-2=-16

Add 2 to both sides:

7x=-14

Divide both sides by 7:

(7x)/7=(-14)/7\\x=-2

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2

Third equation:

y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4

Therefore, the solution is (-2, 4, -2)

3 0
3 years ago
Read 2 more answers
I will give brainliest
allochka39001 [22]

Answer:

1) Yes 2)No

Step-by-step explanation:

1) Yes because the two shorter lines combined are longer than the base and so those two lines are able to make a triangle.

2) No because the two lines on top will be equal to base line and so the two shorter lines will not be able to make a third angle because it will be level with the base.

4 0
3 years ago
Officer Brimberry wrote 24 tickets for traffic violations last week, but only 21 tickets this week. What is the percent decrease
IrinaVladis [17]

Answer:3 percent because





5 0
3 years ago
Sarah bought a shirt on sale for $35 the original price of the shirt was 3 times that amount sarah also bought a pair of shoes o
Ulleksa [173]
Together it would of been $315
4 0
3 years ago
Find the area<br> cant solve
Alex73 [517]

Answer:

36in²

Step-by-step explanation:

<h3>Area of the White Region: </h3>

A = l * w

The rectangle is 3 by 2.

A = 3 * 2

A = 6

The white part of the rectangle is 6in².

<h3>Area of the blue region:</h3>

A = l * w

The rectangle is 6 by 7.

A = 6*7

A = 42

The blue part of the rectangle is 42in².

<h3>Area of the shaded region:</h3>

[area of the blue part] - [area of the white part]

42 - 6 = 36

The area of the shaded region should be 36in².

8 0
3 years ago
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