Answer:
21.333 miles per gallon
Step-by-step explanation:
Answer:
The probability is .034375 or 11/320
Step-by-step explanation:
the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.
multiplied by the probability of a sophomore being chosen 10/80 which equals .125.
multiply those together and you get your probability. 0.034375 or 11/320
Answer:
D) x = 12
Step-by-step explanation:
Given:
![\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}](https://tex.z-dn.net/?f=%5Csf%7B%5Cdfrac%7B5%7D%7B2%7Dx-7%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%5Cimplies%20%5Cdfrac%7B10%7D%7B4%7Dx-7%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%7D)
1. Multiply both sides by 4
![\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56](https://tex.z-dn.net/?f=%5Csf%7B4%5Cleft%28%5Cdfrac%7B10%7D%7B4%7Dx-7%5Cright%29%3D4%5Cleft%28%5Cdfrac%7B3%7D%7B4%7Dx%2B14%5Cright%29%7D%5C%5C%5C%5C%5Cimplies%2010x-28%3D3x%2B56)
2. Subtract 3x from both sides
![\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56](https://tex.z-dn.net/?f=%5Csf%7B10x-3x-28%3D3x-3x%2B56%7D%5C%5C%5C%5C%5Cimplies%207x-28%3D56)
3. Add 28 to both sides
![\sf{7x-28+28=56+28}\\\\\implies 7x=84](https://tex.z-dn.net/?f=%5Csf%7B7x-28%2B28%3D56%2B28%7D%5C%5C%5C%5C%5Cimplies%207x%3D84)
4. Divide both sides by 7 to isolate the variable:
![\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12](https://tex.z-dn.net/?f=%5Csf%7B%5Cdfrac%7B7x%7D%7B7%7D%3D%5Cdfrac%7B84%7D%7B7%7D%7D%5C%5C%5C%5C%5Cimplies%20x%3D12)
Learn more here:
brainly.com/question/27844194
Answer:
x(x+1)²
Step-by-step explanation:
x is a common factor to all terms so the first step is to factor it out:
... x(x² +2x +1)
The quadratic factor is recognizable as the square (x+1)², so the factoring is ...
... x(x +1)²