Question

Help me please and thank you explain it for 100 points

Answer 1

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$\huge\underline{\tt{\red{Formula:}}}$

$\quad\quad\quad\quad\tt{density = \frac{mass}{volume} }$

$\huge\underline{\tt{\red{Solution:}}}$

$\quad\quad\quad\quad\tt{density = \frac{7.0 \times {10}^{24} \: kg}{3.5 \times {10}^{12} \: k {m}^{3} } }$

$\quad\quad\quad\quad\tt{density = (\frac{7.0}{3.5 } = 2.0)}$

$\quad\quad\quad\quad\tt{\:\:and\:\:({10}^{24 -12})}$

$\quad\quad\quad\quad \boxed{\tt{density = 2.0 \times {10}^{12} \: \frac{kg}{k {m}^{3} }} }$

$\huge\underline{\tt{\red{Answer:}}}$

$\quad\quad \underline{\boxed{\tt{ \red{B.) \: \: 2.0 \times {10}^{12} \: \frac{kg}{k {m}^{3} }}}} }$

$\huge\underline{\tt{\red{Explanation:}}}$

Given that the formula for density is equal to mass all over the volume.

We use this formula:

$\boxed{\tt{density = \frac{mass}{volume} }}$.

We substitute it like this:

$\boxed{\tt{density = \frac{7.0 \times {10}^{24} \: kg}{3.5 \times {10}^{12} \: k {m}^{3} } }}$

Then, hence we got:

$\boxed{\tt{density = 2.0 \times {10}^{12} \: \frac{kg}{k {m}^{3} }} }$

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✍︎ C.Rose❀

Answer 2

Answer:

$\huge \colorbox{blue}{B}$

Step-by-step explanation:

to understand this

you need to know about:

• equation
• PEMDAS

let's solve:

we are given the formula,Mass and volume

to find density we just need to substitute the value of mass and value and simplify it

$\sf substitute \: the \: value \: of \: mass \: and \: volume :$

$\quad \: \sf \dfrac{7.0 \times {10}^{24} \: kg }{3.5 \times {10}^{12} \: {km}^{3} }$

now we will use $\dfrac{x^m}{x^n}=x^{m-n}$ to simplify division

$\sf simplify \: division : \\ \quad \: \sf 2 \times {10}^{24 - 12} \times \frac{kg}{ {km}^{3} } \\ \quad \tt 2 \times {10}^{12} \frac{kg}{ {km}^{3} }$

hence, our choice is $B$