Answer:
A
Step-by-step explanation:
This notation says that x+x+x+x+37=69
This can be simplified to say 4x+37=69
6y + 12 = 3y - 3
Subtract 3y on both sides
3y + 12 = -3
Subtract 12 on both sides
3y = -15
Divide by 3 on both sides
y = -5
16 blocks = 4 steps
x blocks = 50 steps
(16 blocks x 50 steps)/4 steps
= 200 blocks
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
Answer:
Step-by-step explanation:
6c+31=4c+13
6c - 4c = 13 - 31
2c = -18
c = -9.