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
4a + 2b = 10
you are solving for b
isolate the b
subtract 4a from both sides
4a (-4a) + 2b = 10 (-4a)
2b = 10 - 4a
divide 2 from both sides to isolate the b
2b(/2) = (10 - 4a)/2
b = (10 - 4a)/2
b = 5 - 2a
C) b = -2a + 5 is your answer
hope this helps
Answer=72%
25-7=18purple clips
18 x
____=____
25 100
cross multiply
25x=1800
divide both sides by 25
x=72%
X-2 = 4+x
+2 +2
x = 6+x
-x -x
0 = 6
Answer: no solution / empty set / ∅
Answer:
A to D E to B C to F F to 216
This ez
Step-by-step explanation:
