What we know:
Elena and Gary have a talk show on tv. Elena has been in 525 episodes of the show, and gary has been in 325 episodes.
A ratio is a relationship of two numbers a, b and is written a:b
What is the ratio of episodes with Gary to episodes with Elena?
Gary = a = 325
Elena = b = 525
Ratio is 325:525 which reduces to 13:21
The ratio of episodes with Gary to episodes with Elena is 13:21
Answer:
$2,341.27.
Step-by-step explanation:
Let x represent realized income for month.
It has been given that your housing and fixed expenses are 702.38 month. We are asked to find your realized income for the month if your fixed expenses are account for 30%.
This means that 30% of x is equal to $702.38. We can represent this information in an equation as:
![30\%\text{ of }x=\$702.38](https://tex.z-dn.net/?f=30%5C%25%5Ctext%7B%20of%20%7Dx%3D%5C%24702.38)
![\frac{30}{100}*x=\$702.38](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%2Ax%3D%5C%24702.38)
![0.30x=\$702.38](https://tex.z-dn.net/?f=0.30x%3D%5C%24702.38)
![\frac{0.30x}{0.30}=\frac{\$702.38}{0.30}](https://tex.z-dn.net/?f=%5Cfrac%7B0.30x%7D%7B0.30%7D%3D%5Cfrac%7B%5C%24702.38%7D%7B0.30%7D)
![x=\$2,341.2666](https://tex.z-dn.net/?f=x%3D%5C%242%2C341.2666)
![x\approx \$2,341.27](https://tex.z-dn.net/?f=x%5Capprox%20%5C%242%2C341.27)
Therefore, your realized income for the month would be approximately $2,341.27.
Known :
x = 8 units
y = 2 units
h = 10 units
Asked :
A = ...?
Answer :
![A = \frac{a + b}{2} \times h \\ A = \frac{x + (x + 2y)}{2} \times h \\ A = \frac{8 + (8 + 2(2))}{2} \times 10 \\ A = \frac{8 + (8 + 4)}{2} \times 10 \\ A = \frac{8 + 12}{2} \times 10 \\ A = \frac{20}{2} \times 10 \\ A = 100 \: {units}^{2}](https://tex.z-dn.net/?f=A%20%3D%20%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D%20%20%5Ctimes%20h%20%5C%5C%20A%20%3D%20%20%5Cfrac%7Bx%20%2B%20%28x%20%2B%202y%29%7D%7B2%7D%20%20%5Ctimes%20h%20%5C%5C%20A%20%3D%20%20%5Cfrac%7B8%20%2B%20%288%20%2B%202%282%29%29%7D%7B2%7D%20%20%5Ctimes%2010%20%5C%5C%20A%20%3D%20%20%5Cfrac%7B8%20%2B%20%288%20%20%2B%20%204%29%7D%7B2%7D%20%20%5Ctimes%2010%20%5C%5C%20A%20%3D%20%20%5Cfrac%7B8%20%2B%2012%7D%7B2%7D%20%20%5Ctimes%2010%20%5C%5C%20A%20%3D%20%20%5Cfrac%7B20%7D%7B2%7D%20%20%5Ctimes%2010%20%5C%5C%20A%20%3D%20100%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
So, the area of the trapezoid is 100 units² (C)
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer:
y=3x+b
Step-by-step explanation:
finding slope:
slope= y2-y1/x2-x1
-2--5/3-2
3/1
slope is 3
i'm not sure how to find the y-intercept using this format but hope this kinda helped!