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3 years ago

Simplify 3(x - 6) - 4(x 3). a. -x - 30 b. -x - 9 c. -x - 6 d. -x2 - 30

Mathematics

2 answers:

Lelechka [254]3 years ago

8 0

3(x - 6) - 4(x + 3) = 3x - 18 - 4x - 12 = -x - 30

Tom [10]3 years ago

6 0

Answer:

-x-30

Step-by-step explanation:

first you need to distribute:

3(x)+3(-6) -4(x)+ (-4)(3)

Then you multiply:

3x+(-18)-4x+(-7)

then you combine like terms:

3x-4x= -1x

-18+(-7)= -25

simplified:

-1x-30

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A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its

belka [17]

Given:

The volume of a cube-shaped box is $\dfrac{1}{8}$ cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

$V=(side)^3$

$V=a^3$

It is given that the volume of a cube-shaped box is $\dfrac{1}{8}$ cubic meter.

$a^3=\dfrac{1}{8}$

Taking cube root on both sides, we get

$a=\dfrac{1}{2}$

Now, the perimeter of each face of a cube is:

$P=4a$

Where, a is the side length of the cube.

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Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

5 0

3 years ago

$5.48 round to nearest hundredth

kifflom [539]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

Explain whether the following given sets are closed under addition:

Ivan

Answer:

Step-by-step explanation:

a) Yes.

$\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)$

b) Yes

$W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\$

c) Yes

$\forall n\ \in\ \mathbb{N}: \Longrightarrow\ n+1 \in\ \mathbb{N}\\$

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2 years ago

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Pani-rosa [81]

Answer:

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Step-by-step explanation: here's the graph

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2 years ago

What is the equation of a circle with the center (2,3) and radius 3

ruslelena [56]

Answer:

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Step-by-step explanation:

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(x - h)² + (y - k)² = r²

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here (h, k) = (2, 3) and r = 3, hence

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