+2446 \(5[3-(7-8)]\) simplifies to 20
An equation must have an equal sign, which \(5[3-(7-8)]\) lacks, so \(5[3-(7-8)]\) is an expression—not an equation.
Let's evaluate this expression step by step:
| \(5[3-(7-8)]\) | This is the original expression. First, simplify what is in the inner parentheses. |
| \(5[3-(-1)]\) | Subtracting a negative number is the same as adding a positive |
| \(5[3+1]\) | Simplify 3+1 |
| \(5[4]\) | Brackets are another way to represent parentheses. A number without an operation directly beside parentheses is always multiplication |
| \(5*4\) | Simplify 5*4 |
| \(20\) | |
+2446 r≈3.53cm
The following formula can be used to find the area of a sphere:
Let V= volume
Let r= radius
\(V=\frac{4}{3}\pi r^3\)
Now, let's plug the information we know back into the equation. We know that the volume equals 184cm3 ,so let's use that and then isolate r, the radius:
| \(184=\frac{4}{3}\pi r^3\) | Multiply by 3/4 on both sides |
| \(138=\pi r^3\) | Divide by π on both sides |
| \(\frac{138}{\pi}=r^3\) | Take the cube root of both sides |
| \(r=\sqrt[3]\frac{138}{\pi}\approx3.53cm\) | Evaluate estimation with a calculator |
