Answer:
x=9
Step-by-step explanation:
Add similar elements: -5x+3x=-2x
-2x+15=-3
Subtract 15 from both sides
-2x + 15-15=-3-15
Simplify
-2x=-18
Divide both sides by -2
-21/-2 = -18/-2
Simplify
x=9
Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
Answer:
w= 6
Step-by-step explanation:
I just started by making an educated guess using the values already given. Then I inserted that into the problem to see if it worked.
L= 2w - 5
I used 6 as a random, educated guess for the value of w.
L = 2(6) - 5
L = 12-5
L = 7
Then, multiply L by 2 to account for both side lengths of the rectangle.
7(2)= 14
Subtract that value from the total perimeter to find what the width must equal.
26 - 14 = 12
Divide that answer by 2 since there are two sides for width.
12/2 = 6
I know this was kind of long, but I hope it helps! :)
Answer:
13 units^2
Step-by-step explanation:
one side of the square =
So area of square = Length * Length
= *
= 13