We find the value for s here.
8s = 1/2

1/2 divided by 8/1 = 1/2 * 1/8 = 1/16
s = 1/16
Answer:

Step-by-step explanation:
So we have the system:

If we isolate the x-variable in the first equation:

Subtract 2y from both sides:

Divide both sides by -1:

Therefore, we would substitute the above into the second equation:

The answer is 2y+6
Further notes:
To solve for the system, distribute:

Simplify:

Subtract:

Divide:

Now, substitute this value back into the isolated equation:

Answer:
sin(70°) =10/x
The distance Jeremy jumps from the ramp to the fire escape is <u>10.6</u> feet
Step-by-step explanation:
From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft
A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.
From sine definition:
sin(70°) = opposite/hypotenuse
sin(70°) = 10/x
x = 10/sin(70°)
x = 10.6 ft
1/2 x 2/3 x 3/4 = 1/4
(Sorry, I did the math wrong. I meant 1/4)
Alright, so the money you make is automatically -1500 for the tools, so it's -1500. Next, the materials cost 200 dollars for each scooter, s, so we have -1500-200s. After that, we have 300 dollars for the sale of each scooter, so we have -1500-200s+300s. Adding -200 and 300 together, we have -1500+100s. To make a profit, that means 100s -1500 > 0. Dividing by 100, we have
s -15 >0 and s>15, so if you sold 16 scooters you'd make a profit. That profit would be 100*16-1500=1600-1500=100 dollars