Answer:
Step-by-step explanation:
Let
x----> that month's sales
y----> October earnings
we know that
-----> equation A
-----> equation B
Equate equation A and equation B and solve for x
2(6+x) + 2x=56
12+4x=56
-12 -12
4x=44
÷4 ÷4
x=11
The measure of the width is 11ft
and the measure of the length is:
11+6=17ft
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:
x1 = -4; x2 = 10
Step-by-step explanation:
1) Expand the module as two separate equations:
x - 3 = 7
x - 3 = -7
2) Solve the equations:
x = 10
x = -4
=> x1 = -4; x2 = 10
