Answer:
x=3/4,y=5/2
Step-by-step explanation:
y=-x^2+4,y=2x+1
substitute y=-x^2+4 as y for y=2x+1
2x+1=-x^2+4, x=3/4(isolate "x")
x=3/4
substitute x=3/4 for 2x+1=-x^2+4
y=2*3/4+1
y=5/2
x=3/4, y=5/2
hope this helps!
Answer:
5t = 4b
Step-by-step explanation:
Here, we want to write a proportional relationship for b in terms of t
From the question, b represent the amount of candle burned away in a given time t hours
From what we have initially, 13 3/4 burnt in 11 hours
So in 1 hour, the amount burnt will be;
55/4/11 = 5/4
5/4 inches of candle burnt in 1 hour
5/4 inches = b/t
So b inches burnt in t hours
5/4 = b/t
5t = 4b
Answer:
390
Step-by-step explanation:
The formula of sum of arithmetic sequence is 
The number of this series are 2, 4, 6, 8, 10, 12, . . . . , 60.
The first term ( a ) = 2
The 30th even number is 60
The Tn is the term of the sequence
So the equation is
30/2 x ( 2 + 
)
= 60
30/2 x ( 2 + 60 )
30/2 x (62)
1860/2
390
Answer:
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Step-by-step explanation:
*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.
