Answer:
y = 17x + 9.5
Step-by-step explanation:
17 * 1.25 = 21.25 therefore 30.75 - 21.25 = 9.5 = $9.50 admission therefore y = 17x + 9.5
9514 1404 393
Answer:
Ben's
Step-by-step explanation:
If E is the amount of energy that each full set of panels produces, then ...
3 of Ismael's 5 panels produce 3/5E
4 of Ben's 6 panels produce 4/6E
We can compare these fractions when they have a common denominator.
3/5E = 18/30E . . . . energy from Ismael's panels
4/6E = 20/30E . . . energy from Ben's panels
18/30 < 20/30 . . . . so Ben's panels are producing more energy
V = (pi) * r^2 * h
h = 7
V = 252(pi)
252(pi) = r^2 * 7
252(pi) / 7 = r^2
36(pi) = r^2
sqrt 36(pi) = r
6 = r <==== radius is 6 cm
*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - <span>£270
</span> Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus,
</span>
B + A + L = <span>£270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L</span> (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L </span>(EQUATION 3)<span>
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = </span><span>£270
</span> 9L = <span>£270
</span> L = <span>£30
So, Polly has </span><span>£30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
</span>
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
