Answer:
2.3
Step-by-step explanation:
on the left side u add 4k+3k=7k
on the right side u subtract 2k-6k=4k
then on the left side u add 2 to each side and u get rid of the 2 on the left side
on the right side u add 5+2=7
then on the right side u add 4k on each side and get rid of the 4k on the right
on the left u subtract 7k-4k=3k
on both sides divide by 3
Answer:
25 cent stamps = 13 and 29 cent stamps = 15
Step-by-step explanation:
x = 25 cent stamps and y = 29 cent stamps
x + y = 28......x = 28 - y
0.25x + 0.29y = 7.60
0.25(28 - y) + 0.29y = 7.60
7 - 0.25y + 0.29y = 7.60
-0.25y + 0.29y = 7.60 - 7
0.04y = 0.60
y = 0.60 / 0.04
y = 15 <===== 29 cent stamps
x + y = 28
x + 15 = 28
x = 28 - 15
x = 13 <===== 25 cent stamps
lets check it...
0.25x + 0.29y = 7.60
0.25(13) + 0.29(15) = 7.60
3.25 + 4.35 = 7.60
7.60 = 7.60 (correct..it checks out)
Answer:
Step-by-step explanation:
(2x + 1)(ax + b) = 6x² - 5x + c
Expand the left side and put that half into standard form:
2ax² + 2bx + ax + b = 6x² - 5x + c
2ax² + (2b + a)x + b = 6x² - 5x + c
So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:
2a = 6
a = 3
Then look at the x terms, those coefficients will then be equal:
2b + a = -5
2b + 3 = -5
2b = -8
b = -4
and finally, then non-x terms are equal:
b = c
-4 = c
so:
a = 3, b = -4, c = -4
You have to move all terms involving the variable on one side, and all constant terms on the other side.
To move a term from a side to the other, you have to change its side.
So, for example, if you move 4x from left to right, it will become -4x (you're actually subtracting 4x from both sides):
Similarly, add 5 to both side to get
Finally, divide both sides by 3:
