The answer is $213 because you subtract the price sold by the price he bought them for and then you add them together (see work)
How to do it
3n=25.50
c= 8.5t
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
A: Adults
C:children
P: people
A= 2/9 P
C= A+95
P= A+C
= 2/9P + 2/9P+95
= 4/9 P+95, add -4/9P for both sides (same terms, same sides:))
P- 4/9P= 95
5/9P= 95
P= 171 people in the restaurant
Adult= 2/9*171= 38 Adults
Children= 38+95= 133 children
Answer:
Step-by-step explanation:
Xavier, Yolanda and Zara shared some money.
Let x represent Xavier's share
Let y represent Yolanda's share
Let z represent Zara's share.
Yolanda received 40% more money than Xavier. This means that
y = x + 40/100×x = x + 0.4x = 1.4x
Zara received 60% of Yolanda's share. This means that
z = 60/100× 1.4 = 0.6×1.4 = 0.84x
. If Zara received $1,176, then,
0.84x = 1176
x = 1176/0.84 = 1400
y = 1.4 × 1400 = $1960
z = 0.84 × 1400 = $1176
The sum of the money is
1400 + 1960 + 1176 = $4536
