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3 years ago

PLEASE HELP ME (and explain) Solve for x. 6x−7=53

Mathematics

2 answers:

Hitman42 [59]3 years ago

6 0

Answer:

x=10

Step-by-step explanation:

First add 7 on both sides

6x-7=53

+7 +7

6x=60

Divide 6 on both sides

x=10

dangina [55]3 years ago

3 0

Solve for x.

6x−7=53

Well first you have to put the problem down

6x−7=53

Then think of random numbers that could replace or be x so solve for X.

lets try 9

6 x 9 = 54 and 54 - 7 = 47

that cant be it so lets try 10

6 x 10 - 7

6 x 10 = 60

60 - 7 = 53

So our answer to solve for x is 10

x = 10

Hope I Helped!!!!!

PLS mark brainliest!!!

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ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
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= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

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$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

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nata0808 [166]

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