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DENIUS [597]
3 years ago
13

Please help! Three step linear equations

Mathematics
1 answer:
zzz [600]3 years ago
6 0

Answer:

I solved it and my answer is - 2

Step-by-step explanation:

5x+6=8x+12

5x-8x =12 - 6

-3x =6

Divide by - 3

X=-2

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Simplify the ratio 24:81
gizmo_the_mogwai [7]

Answer:

8 to 27

Step-by-step explanation:

3 0
2 years ago
A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. The perimeter is 30 feet. If the mat
shutvik [7]

Answer:

$57.5 is the total cost to build the pen.

Step-by-step explanation:

We are given the following in the question:

A livestock pen is built in the shape of a rectangle.

The length of rectangle is two times the width.

Let l be the length of rectangle and w be the width of rectangle. Thus, we can write

l = 2w

Perimeter = 30 feet

\text{Perimeter of rectangle} = 30\\2\times (l\times w) = 30

Putting values,

2(2w + w) = 30\\6w = 30\\w = 5\\l = 2w = 10

The length of rectangle is 10 feet and width of rectangle is 5 feet.

If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides

Cost of building =

=2\times(\text{Cost of length}\times \text{Length} + \text{Cost of width}\times \text{Width})\\=2\times(1.75\times 10 + 2.25\times 5)\\=57.5

Thus, $57.5 is the total cost to build the pen.

7 0
3 years ago
The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example
Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

#SPJ1

8 0
1 year ago
Ponzi saves dimes and quarters. She has 12 coins adding up to $1.80. How many dimes does she have?
myrzilka [38]
4 quarters and 8 dimes
4 0
2 years ago
These prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]
zepelin [54]

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

 (6/5)³=216/125

to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

4 0
2 years ago
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