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VMariaS [17]
2 years ago
8

18.) Which expression is equivalent to -6x + 7.5?

Mathematics
1 answer:
nydimaria [60]2 years ago
4 0

Answer:

D

hope this helped:)

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The circumference of the smaller is 30% of the circumference of the larger circle. Find the circumference of the larger circle.
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<u>Given</u>:

The circumference of the smaller is 30% of the circumference of the larger circle.

We need to determine the circumference of the larger circle.

<u>Diameter of the larger circle:</u>

The diameter of the smaller circle is 9 in.

Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;

S=0.3L

where S is the circumference of the smaller circle and L is the circumference of the larger circule.

\pi(9)=(0.3)\pi d

    9=0.3d

  30=d

Thus, the diameter of the larger circle is 30 inches.

<u>Circumference of the larger circle:</u>

The circumference of the larger circle is given by

C=\pi d

C=3.14\times 30

C=94.2

Thus, the circumference of the larger circle is 94.2 inches.

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Step-by-step explanation:

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\bf \begin{cases}&#10;(n^4)^p=n^{12}\to &n^{4\cdot p}=n^{12}\to 4p=12&#10;\\&#10;&\qquad \uparrow \\&#10;&\textit{same bases, thus}\\&#10;&\qquad \downarrow &#10;\\&#10;n^3\cdot n^q=n^6\to &n^{3+q}=n^6\to 3+q=6&#10;\end{cases}&#10;\\\\\\&#10;thus\implies &#10;\begin{cases}&#10;4p=12\implies p=\frac{12}{4}&#10;\\\\&#10;3+q=6\implies q=6-3&#10;\end{cases}&#10;\\\\&#10;&#10;\\\\&#10;then\implies p\cdot q=\boxed{?}
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