Answer:
the price of the drink to the nearest cent is $2.50
Step-by-step explanation:
1 bag of popcorn = b
1 drink = d
Amelia spends this:
6b + 3d = 18.00
6b = 18 - 3d
b = 18/6 -3d/6
b = 3 - 1/2*d
Nora spends this:
5b + 9d = 31.25
9d = 31.25 - 5b
d = 31.25/9 -5/9*b
now substitute d = 31.25/9 -5/9*b in b = 3 - 1/2*d
d = 31.25/9 -5/9*(3 - 1/2*d)
d = 31.25/9 -15/9 + 5/18d
18/18d - 5/18d = 31.25/9 -15/9
13/18d = 31.25/9 -15/9
d = 18/13 * ( 31.25/9 -15/9 )
d = 2,5
The price of a drink is $2.50
EXTRA
now substitute d = 2,5 in b = 3 - 1/2*d
b = 3 - 1/2*(2.5)
b = 3 - 1.25
b = 1.75
The price of a bag of popcorn is $1.75
Y = 0 and 12 x = <span>60
</span>12*x+2*y-(-60<span>)=0
</span>
Answer:
3c + 2x + 11
Step-by-step explanation:
Answer:
48.3 cm^2
Step-by-step explanation:
The area of the enclosing square is that of a square 15 cm on a side, so is ...
square area = (15 cm)^2 = 225 cm^2
The white area is that of a quarter-circle of radius 15 cm, so that area is ...
quarter-circle area = (1/4)πr^2 = (π/4)·(15 cm)^2 = 56.25π cm^2 ≈ 176.7 cm^2
Then the yellow area is the difference ...
yellow area = square area - quarter-circle area
= (225 cm^2) - (176.7 cm^2)
yellow area = 48.3 cm^2
Answer: x=24
Step-by-step explanation:
First, we know that 2/3 of something is 16. So, we are going to find 1/3. To do this, we divide 16 by 2 because 2 is the numerator. We get 8 as our answer.
Next, now we have to find the full value. To do this, we need to multiply 8 by 3 to get 3/3 (our full number-answer). When you multiply 8 by 3, you get 24 as your answer.
Finally, finish the equation. Substitute x for 24, so the equation looks like this: (24) x 2/3 = 16.
Hope this helps!