7h + 6b = 35.50
5h + 6b = 30.50
The difference between the 2 totals spent is $5, and there were the same number of burgers, but 2 fewer hotdogs. So $5/2 = $2.50, the cost of a hot dog. Substitute that into the equations to solve for burgers (b)
5(2.50) + 6b = 30.50
12.50 + 6b = 30.50
6b = 18
b = 3
Check the work:
7(2.50) + 6(3) =
17.50 + 18 = 35.50
Answer:
x ≈ 8.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin75° = = = ( multiply both sides by 9 )
9 × sin75° = x , then
x ≈ 8.7 ( to the nearest tenth )
Answer:
see explanation
Step-by-step explanation:
Given AB ≅ BC, then
AB = BC = x + 6 , and
AC = AB + BC ← substitute values
3x - 31 = x + 6 + x + 6, that is
3x - 31 = 2x + 12 ( subtract 2x from both sides )
x - 31 = 12 ( add 31 to both sides )
x = 43
Hence
AB = BC = x + 6 = 43 + 6 = 49
AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98
Juan Ramirez made $185.00
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.