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3 years ago

12 = -4(-6x - 3) What does x=

Mathematics

2 answers:

Marina CMI [18]3 years ago

3 0

Answer:

x=0

Step-by-step explanation:

mars1129 [50]3 years ago

3 0

Answer:

x=24

Step-by-step explanation:

12= -4(-6x-3)

12=24x+12

-24x= 12-12

-24x=0

X=24

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FURNITURE A modern table is constructed with four legs made

Troyanec [42]

The volume of a shape is the amount of space in it.

The expression that represents the volume of one table leg is: $V = l^3 + n^3$
The sides of the legs is 14.37 inches long

<u>(a) The volume of one table leg</u>

Represent the side length of the leg with l, and the side length of the notch with n.

So, the expression that represents the volume of one table leg is:

$V = l^3 + n^3$

<u>(b) The length of the sides</u>

From the question, we have:

$n = 40\% \times l$

Express 40% as decimal

$n = 0.40 \times l$

$n = 0.4l$

Substitute 0.4l for n in $V = l^3 + n^3$

$V =l^3 + (0.4l)^3$

$V =l^3 + 0.064l^3$

$V =1.064l^3$

The volume of the 4 legs is given as: 12636

So, the volume of one leg would be 12636/4

So, we have:

$1.064l^3 = \frac{12636}{4}$

$1.064l^3 = 3159$

Divide both sides by 1.064

$l^3 = 2968.985$

Take cube roots of both sides

$l = 14.37$

Hence, the sides of the legs is 14.37 inches long