Hey there!
The answer is C.
First of all, let's assign variables. We can use t for tricycles and b for bicycles.
Next let's look at the first statement:
"There are at most 12 bicycles and tricycles in a school playground."
"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.
We can write this as b + t ≤ 12.
Now we can look at the second statement:
"There are at least 17 wheels altogether."
"At least" means the number 17 will be included in the inequality.
Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.
That can be written as 2b + 3t ≥ 17.
Our final system of inequalities:
b + t ≤ 12
2b + 3t ≥ 17
This matches option C.
Hope this helps!
8x+2y=10
-8x -8x
2y=-8x+10
_ _ _
2 2 2
y=-4x+5
Answer:
then the perimeter of polygon B will also be twice of perimeter of polygon A
Set it up as a ratio: 1/m = 2/m+7 and cross-multiply to get m+7 = 2m. Now solve
Because B is the midpoint of AC, point B divides AC into two equal segments:
AB = BC
Substitute all known values into the above equation:
x + 5 = 2x – 11
Add 11 to both sides of the equation:
x + 16 = 2x
Subtract "x" from both sides of the equation:
16 = x
We have proven that x = 16. Now we are asked to find the measure of AB. Simply substitute the known value of "x" into the equation for AB:
AB = 16 + 5
Simplify the right side of the equation:
AB = 21
The measure of segment AB is 21
I hope this helps!
