Step-by-step explanation:
If a variables varies jointly, we can just divide it by the other variables in relation to it.
For example, since p variables jointly as q and square of r, then
![\frac{p}{q {r}^{2} } = k](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7Bq%20%7Br%7D%5E%7B2%7D%20%7D%20%20%3D%20k)
where k is a constant
First, let find k. Substitute p= 200
q= 2, and r=3.
![\frac{200}{2(3) {}^{2} } = k](https://tex.z-dn.net/?f=%20%5Cfrac%7B200%7D%7B2%283%29%20%7B%7D%5E%7B2%7D%20%7D%20%20%3D%20k)
![\frac{200}{18} = k](https://tex.z-dn.net/?f=%20%5Cfrac%7B200%7D%7B18%7D%20%20%3D%20k)
![\frac{100}{9} = k](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%7D%7B9%7D%20%20%3D%20k)
Now, since we know our constant, let find p.
![\frac{p}{q {r}^{2} } = \frac{100}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7Bq%20%7Br%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Cfrac%7B100%7D%7B9%7D%20)
Q is 5, and r is 2.
![\frac{p}{5( {2}^{2}) } = \frac{100}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7B5%28%20%7B2%7D%5E%7B2%7D%29%20%7D%20%20%3D%20%20%5Cfrac%7B100%7D%7B9%7D%20)
![\frac{p}{20} = \frac{100}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7B20%7D%20%20%3D%20%20%5Cfrac%7B100%7D%7B9%7D%20)
![p = \frac{2000}{9}](https://tex.z-dn.net/?f=p%20%3D%20%20%5Cfrac%7B2000%7D%7B9%7D%20)
Answer:
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Step-by-step explanation:
Job one pays more. the rate is 18.75
2 step equation:
4x + 3 = 19
2 step equation w/ fractions:
(4/3)x + 5 = 17
Distributive Property:
4x(6 - 2) - 10 = 20
Decimals:
4.3x + 0.7 = 5
Real world equation:
Sharon's restaurant is bringing in money from customers, and she needs to know how much she needs to pay off the bill for the electricity to run the place. To turn the electricity on, she has to pay $25. For every hour that the electricity is on for, she has to pay $4. How many hours can she have the electricity on for if she makes $49 profit?
I hope these helped! Not too sure about the last one, I sort of let me imagination run wild. In any case, don't hesitate to ask me questions if you have any further inquiries. <3