2:3:5
2x+3x+5x=180
10x=180
x=18
2x=36
3x=54
5x=90
Answer:
20 5/8 yd^2
Step-by-step explanation:
width = 3 3/4 yd
length = 5 1/2 yd
First change both measurements to fractions.
3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4
5 1/2 = 5 + 1/2 = 10/2 + 1/2 = 11/2
area = length * width
area = 15/4 yd * 11/2 yd
area = (15 * 11)/(4 * 2) yd^2
area = 165/8 yd^2
165/8 = 20 remainder 5
area = 20 5/8 yd^2
Answer:
6%
Percentage of teachers = 6%
Step-by-step explanation:
Given;
Number of grade k-2 students = 137
Number of grade 3-5 students = 145
Total = 300
Number of teachers = 300 - (137+145) = 18
Percentage of teachers = (number of teachers÷total)× 100%
%T = (18/300) × 100
%T = 6%
Answer:
<em />
<em />
<em>The last option matches the correct solution</em>
Step-by-step explanation:
<u>Equation Solving</u>
We have the following equation:

And it's required to solve it for r.
Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.
It can be done by conveniently operating on both sides as follows:
Eliminate the denominator by multiplying by 3:

Move
to the other side by dividing by
:

Swapping sides to have r at the left side:

Finally, take the cubic root and leave r alone:
![\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
The last option matches the correct solution
Answer:
Step-by-step explanation:
x² + y² = 81
x + y = √81
x + y = 9
x ≥ 9
y ≤ 9