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:
it's C ;)) maybe i guess-
Step-by-step explanation:
O = x, h=15 angle = 23
sin 23 = o/h
sin 23 x 15 = x
x=5.9 --> C
Answer:not 100 % sure but I can write a slope intercept form equation, but not an inequality. I would need a picture of the graph to write an inequality.
First find slope: (y2 - y1)/(x2 - x1) Slope is 3
Choose a point then use point slope form y - y1 = m(x - x1) It is y - 1 = 3(x - 1)
Now simplify:
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2
y = 3x - 2
Step-by-step explanation:
Answer:
4 trees
Step-by-step explanation:
40/10=4
