The variable and numbers in yellow
Answer:
soccer balls = 80
basketballs = 120
Step-by-step explanation:
let S = number of soccer balls sold
let B = number of basketballs sold
If the store sold 40 more basketballs than soccer balls, then
B = S + 40
If the store sold $4800 worth of soccer and basketballs last month at a cost of $33 for a soccer ball and $18 for a basketball, then:
33S + 18B = 4800
Substitute the first equation B = S + 40 into the second equation and solve for S:
33S + 18(S + 40) = 4800
33S + 18S + 720 = 4800
51S + 720 = 4800
51S = 4080
S = 80
Substitute S = 80 into B = S + 40 to find B:
B = 80 + 40 = 120
Answer: x = 3.5
Step-by-step explanation:
9,2.5,-4,-10.5,-17
Let's find the difference between two consecutive terms
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
4b + 22 = 5 (b + 4) - 1 (remove the parantheses)
4b + 22 = 5b + 20 - 1 (calculate)
4b + 22 = 5b + 19 (move the terms)
4b - 5b = 19 - 22 (collect like terms and calculate)
-b = -3 (change the signs)
<em>b = 3</em>
