Answer:
Domain(x-values) Pls mark brainliest :)
Step-by-step explanation:
Answer: 4
<u>Step-by-step explanation:</u>
Let P represent Pete's age today. Let C represent Claire's age today.
2 years ago: P - 2 = 3(C - 2) ⇒ P - 2 = 3C - 6 ⇒ P = 3C - 4
4 years ago: P - 4 = 4(C - 4) ⇒ P - 4 = 4C - 16 ⇒ P = 4C - 12
Use substitution to solve the system above:
3C - 4 = 4C - 12
- 4 = C - 12
8 = C
Plug in the C-value above into one of the equations to solve for P:
P = 3C - 4
= 3(8) - 4
= 24 - 4
= 20
So, Pete is 20 yrs old today and Claire is 8 years old today
When will Pete be twice as old as Claire?
20 + x = 2(8 + x)
20 + x = 16 + 2x
20 = 16 + x
4 = x
Their ages will have a 2:1 ratio in 4 years.
Answer:
number of children ticket sold = 70
number of adult ticket sold = 70 × 3 = 210
number of student ticket sold = 500 - 4(70) = 500 - 280 = 220
Step-by-step explanation:
A local theater sells out their show. They sell all 500 tickets for a total of $7920 .00 . The total number of ticket sold is 500.
let
Number of children ticket sold = a
Adult ticket sold = 3a
Student ticket sold = 500 - 3a - a = 500 - 4a
Total cost = 7920
7920 = 12(a) + 15(500 - 4a) + 18(3a)
7920 = 12a + 7500 - 60a + 54a
collect like terms
7920 = 12a - 60a + 54a + 7500
7920 - 7500 = 6a
420 = 6a
divide both sides by 6
a = 420/6
a = 70
number of children ticket sold = 70
number of adult ticket sold = 70 × 3 = 210
number of student ticket sold = 500 - 4(70) = 500 - 280 = 220
we are given
A top of a round cake has an area of about 201 square inches
Let's assume radius of circle is 'r'
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
now, we can plug values and solve for r
![201=\pi r^2](https://tex.z-dn.net/?f=201%3D%5Cpi%20r%5E2)
![r^2=\frac{201}{\pi}](https://tex.z-dn.net/?f=r%5E2%3D%5Cfrac%7B201%7D%7B%5Cpi%7D)
![r=8](https://tex.z-dn.net/?f=r%3D8)
now, we can find circumference
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%20)
![C=2\pi *8](https://tex.z-dn.net/?f=C%3D2%5Cpi%20%2A8%20)
![C=50.2654 in](https://tex.z-dn.net/?f=C%3D50.2654%20in%20%20)
.................Answer
Answer:
x=5
Step-by-step explanation:
-x^2-8 = -33
Add 8 to both sides. Equals to -x^2 = -25
Divide both sides by -1. x^2= 25
Square root both sides. x= 5
The answer is x =5