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
The answer would be 0.25... when multiplying by 10, shift the decimal place one to the right.
Step-by-step explanation:
Add 4 to both sides: 5e^3x = 35, or
Answer:
I can't see the picture
Step-by-step explanation:
Answer:
length = 14 feet
width = 6 feet
Step-by-step explanation:
A = 84 feet square
ratio of length and width = 7 : 3
total ratio of length and width 10 = a
length = (7/10)a
width = (3/10)a
A = length x width = (7/10)a x (3/10)a = (21/100)a² = 84
a² = 84 x 100 : 21 = 400
a = 20 feet
length = 7/10 x 20 = 14 feet
width = 3/10 x 20 = 6 feet
