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Goshia [24]
3 years ago
14

A science museum has a spherical model of the earth with a diameter of 6.5 m. What is the volume of the model? Use 3.14 for and

round your answer to the nearest whole number. Show your work.
Mathematics
1 answer:
natka813 [3]3 years ago
6 0

radius = diameter/2

radius = 6.5/2  =   \frac{13}{4}m

<span>volume  </span>=  \frac{4}{3} x \pi x (radius)³

              =  \frac{4}{3} x \pi x ( \frac{13}{4})^3

              =  \frac{4}{3} x \pi x \frac{2197}{64}

              =  \frac{2197}{64}

              = 144 cubic meters

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Part A: Solve −np − 70 &lt; 40 for n. Show your work. (4 points) Part B: Solve 4w − 7k = 28 for k. Show your work.
kondaur [170]
Hey!

For part A, let's write the problem,
-np-70\ \textless \ 40
Add 70 to both sides...
-np-70+70\ \textless \ 40+70
-np\ \textless \ 110
We are going to reverse the inequality, to do this we are going to multiply both sides by -1.
\left(-np\right)\left(-1\right)\ \textgreater \ 110\left(-1\right)
pn\ \textgreater \ -110
Divide both sides by p.
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Our answer would be,
n\ \textgreater \ -\frac{110}{p}

Let's go with Part B. Let's write the problem,
4w-7k=28
Subtract 4w from both sides,
4w-7k-4w=28-4w
-7k=28-4w
Divide both sides by -7.
\frac{-7k}{-7}=\frac{28}{-7}-\frac{4w}{-7}
If we simplified it, we would be left with,
k=-\frac{28-4w}{7}

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