Answer:
Each shirt cost $12
Step-by-step explanation:
First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.
6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41
Hence we have two equations, and we solve them simultaneously.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the
2(6s+3t=79.5)
12s+6t=159 Equation 3
3(3s+2t=41)
9s+6t=123 Equation 4
We subtract equation 4 from equation 3.
12s+6t=159
9s+6t=123
12s-9s=3s
6t-6t=0
159-123=36
We therefore have
3s=36
Divide both sides by 3
s=36/3
s=12
One shirt cost $12
Answer: x = -1, -3
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
V=pi (r squared) (h/3)
75pi = 25pi (h/3)
Divide both sides by 25 pi
3= h/3
Multiply both sides by 3
h=9
Answer:
17
Step-by-step explanation:
since you are given that x is 9 all you have to do is plug it in. So 1-2(9) 2 times 9 is 18 so 1-18=17
Answer:
The length of mid-segment
units
Step-by-step explanation:
Given:
Length of
units
is the mid-segment which means the line joining the midpoints of two sides of triangle.
By mid-segment theorem the mid-segment of a triangle is parallel to the third side and half of the length of third side.
So, we can write:
∴
units
∴The length of mid-segment
units