Let adults = X
Then children would be 2x ( Twice as many as adults, means 2 times the amount of adults)
Now we have adults plus children equal 36:
X + 2X = 36
2X + X = 3x
Now we have 3X = 36
Divide both sides by 3 to solve for X
X = 36/3
X = 12
2X = 2*12 = 24
There were 12 adults and 24 children
Answer:
a = -12
b = 3
Step-by-step explanation:
second term = a + 6b
to find the 5th term, notice the pattern (since this is a linear equation, each term increases by the same amount) and each term increases by 4b: 2b -> 6b -> 10b.
therefore, the 4th term would be a+14b and the 5th would be a+18b
so a + 6b = 8
and a + 18b = 44
u now have two simultaneous equations, which can be solved through substitution or elimination. I'm gonna use elimination because it's quicker in this case:
![a + 6b = 8\\- (a + 18b = 44)\\ -12b = -36\\b = 3](https://tex.z-dn.net/?f=a%20%2B%206b%20%3D%208%5C%5C-%20%28a%20%2B%2018b%20%3D%2044%29%5C%5C%20-12b%20%3D%20-36%5C%5Cb%20%3D%203)
steps: (since the a would cancel out by subtracting, subtract then solve for b. divide by -12 on both sides to isolate the b)
now that u know the value of b, substitute it into an equation to solve for a:
a + 6b = 8
a + 6(3) = 8
a + 24 = 8
a = 8 - 24
a = -16
hope this helps!
Answer:
36 km
Step-by-step explanation:
60% of 60km
60/100
.6*60=36
36 km
Answer:
<em>y = 150</em>
Step-by-step explanation:
<u>Proportions</u>
It's given y is directly proportional to the square of x-1. It can be expressed as:
![y=k(x-1)^2](https://tex.z-dn.net/?f=y%3Dk%28x-1%29%5E2)
Where k is the constant of proportionality. We know y=24 when x=3. Substituting:
![24=k(3-1)^2](https://tex.z-dn.net/?f=24%3Dk%283-1%29%5E2)
![24=k(2)^2=4k](https://tex.z-dn.net/?f=24%3Dk%282%29%5E2%3D4k)
Solving for k:
k = 24/4 = 6
Thus, the equation is:
![y=6(x-1)^2](https://tex.z-dn.net/?f=y%3D6%28x-1%29%5E2)
When x=6:
![y=6(6-1)^2=6(5)^2=6*25](https://tex.z-dn.net/?f=y%3D6%286-1%29%5E2%3D6%285%29%5E2%3D6%2A25)
y = 150
Answer:
D: 48
Step-by-step explanation:
Daily cost of production; c(x) = 200 + 16x
when the number of complete products manufactured is 5, the cost is:
c(5) = 200 + 16(5)
= 200 + 80
= 280
c(5) = 280
When the number of complete products manufactured is 8, the cost is:
c(8) = 200 + 16(8)
= 200 + 128
= 128
c(8) = 328
Average rate of change = c(8) - c(5)
= 328 - 280
= 48
Thus, the average rate of change is 48.