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astraxan [27]
2 years ago
12

The length, height, and width of a cube are multiplied by 6. What effect does this have on the surface area of the cube?

Mathematics
1 answer:
Harman [31]2 years ago
4 0

Answer:

Surface Area increases by 36 times.

Step-by-step explanation:

Let \ length, \ height \ and  \ width \ of \ a \ cube \ be \ a

Surface \ Area = 6a^2

Now \ length, \ height \ and \ width \ are \ multiplied \ by \ 6, that \ is \ sides = 6a

New \ Surface\ area = 6 (6a)^2 = 6 (36a^2) = 36 \times 6a^2

That \ is \ new \ surface \ area = 36 \times \ old \ surface\ area

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B. 24 square meters. Length times width times height
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3 years ago
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Todd has twice as many songs in his playlist as Vlad. Becca has three times as many songs in her playlist as Todd. If all three
nikitadnepr [17]

Answer:

Todd has 540540 songs in his playlist.

Vlad has 270270 songs in his playlist.

Becca has 162162 songs in her playlist.

Step-by-step explanation:

# of songs Todd has = T

# of songs Vlad has = V

# of songs Becca has = B

1) Todd has twice as many songs in his playlist as Vlad:

T=2V

2) Becca has three times as many songs in her playlist as Todd:

B=3T

3) All three people have a total of 243243 songs in their playlists:

T+V+B=243243

Because T=2V then you can substitute T as 2V in the second equation:

B=3(2V)

B=6V

Now in the final equation, you can substitute everything for V:

2V+V+6V=243243

9V=243243

V=27027

Now substitute for T:

T+1/2T+3T=243243

9/2T=243243

T=54054

Now substitute for B:

1/3B+1/6B+B=243243

3/2B=243243

B=162162

Check answers:

27027+54054+162162=243243

243243=243243

3 0
2 years ago
Leftover Expression
Mumz [18]

The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.

Answer:

The equivalent expressions are;

8a + 2 and 6a + 6b

Step-by-step explanation:

The two leftover expressions are given as;

2(4x + 1) and 6(a + b)

In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.

Thus simply means expanding or collecting like times to make it clearer.

Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.

Thus;

2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;

8x + 2

Similarly,

6(a + b) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;

6a + 6b

Thus;

The equivalent expressions are;

8a + 2 and 6a + 6b

4 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPP
77julia77 [94]

Answer:

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Step-by-step explanation:

5 0
2 years ago
Solve the following equation x(x + 19) = -34
xxMikexx [17]
Hi there,

x(x + 19) = -34

I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34

</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34

</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)

</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0

</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0

</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0

</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17

</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17

Hope this helps! :)</span></span></span>
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3 years ago
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