Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
Answer:
L = 9
Step-by-step explanation:
Assuming you are trying to find L
P = 2L + 2W
P = 32
32 = 2L + 2W
W = 7
32 = 2L + (2 × 7)
32 = 2L + 14
2L = 32 - 14
2L = 18
L = 9
Answer:
N(2,3)
Step-by-step explanation:
According to the Question,
- Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).
- Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).
Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)
- Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).
Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)
Answer:
24 pie, or, 75.36 inches cubed
Step-by-step explanation:
The formula for volume of a cylinder is pie*radius^2*height
The radius is half the diameter, so the radius is 2 inches.
Plug in given information into the formula and solve.
