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vodka [1.7K]
3 years ago
14

What is the value of x in the equation 3/4 x + 24 = x − 12 ?

Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

x = 144

Step-by-step explanation:

3/4x + 24 = x - 12

3/4x - x = -12 - 24

3/4x - 4/4x = -36

-1/4x = -36

x = -36/-1/4

x = 144

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Eloise's rabbit cage is shape like a rectangular prism. The cage has a height of 28 inches and a volume of 8,680 cubic inches. E
Tems11 [23]

Answer:

310 inches²

Step-by-step explanation:

Given: A rectangular prism cage has a height of 28 inches.

           Volume of prism is 8680 cubic inches.

           

We know the area of base of rectangular prism is equal to the area of rectangle.

∴ Lets find out the lenght and width of rectangular prism.

Volume of rectangular prism= w\times l\times h

Where, w is width

             l is length

             h is height.

Now, putting the value in the formula of volume.

⇒ 8,680= w\times l\times 28

cross multiplying

⇒ wl= \frac{8680}{28}

∴ wl= 310 inches²

As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.

Area of rectangle= wl

∴ Area of rectangle= 310 inches²

Hence,  310 inches² is the area of the plastic mat on the bottom of the cage.

4 0
3 years ago
SOME ONE PLEASE HELP !!!!
Andrei [34K]

x = 20 - -5 = 20 + 5 = 25

y = 16 - 1 = 15

<h2>x = 25</h2><h2>y = 15</h2>

7 0
3 years ago
Which equation does the graph of the systems of equations solve?
Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

  • at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

\frac{1}{3}x+1=2x-4

Subtract 1 from both sides

\frac{1}{3}x+1-1=2x-4-1

Simplify

\frac{1}{3}x=2x-5

subtract 2x from both sides

\frac{1}{3}x-2x=2x-5-2x

Simplify

-\frac{5}{3}x=-5

Multiply both sides by 5

3\left(-\frac{5}{3}x\right)=3\left(-5\right)

Simplify

-5x=-15

Divide both sides by -5

\frac{-5x}{-5}=\frac{-15}{-5}

Simplify

x=3

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0
3 years ago
Sandy has 28 pencils and 72 erasers. She wants to make the greatest number of bags that have the same number of pencils and eras
aalyn [17]

Answer:

she can make a maximum of 4 bags.

peach bags containing 7 pencils and 18 erasers.

Step-by-step explanation:

find all the factors each numbers are divisible by:

28 => 1, 2, 4, 7, 14, 28

72 => 1, 2, 3, 4, 8, 9, 18, 24, 36, 72

choose the maximum common denominator.

7 0
3 years ago
Read 2 more answers
HELP I NEED HELP ASAP
ValentinkaMS [17]
Answer: B

Explanation:
We can substitute burgers for m and drinks for p, since all burgers are the same price and drinks are the same price, substitute the 3 burgers and 2 drinks into
3m+2p
The only right answer for this equation is $13.50, substitute the 5m+4p=$23.50 and your only right answer is B
4 0
2 years ago
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