Answer:
Step-by-step explanation:
<u>Use distance formula:</u>
- d = st, where d- distance, s - speed, t - time
a)
<u>Total distance is:</u>
<u>Solve for x:</u>
- 8x = 70 - 10y
- x = (70 - 10y)/8 = (35 - 5y) / 4
<u>Solve for y:</u>
- 10y = 70 - 8x
- y = (70 - 8x) / 10 = (35 - 4x) / 5
b)
<u>Average speed is:</u>
- s(av) = d / t = 70 / (x + y)
c)
<u>The second scenario:</u>
<u>Combine with the first one and solve the system:</u>
<u>Solve by elimination as below:</u>
- 5(10x + 8y) - 4(8x + 10y) = 5*72 - 4*70
- 50x + 40y - 32x - 40y = 360 - 280
- 18x = 80
- x = 40/9
<u>Find y:</u>
- 10*40/9 + 8y = 72
- 8y = 72 - 400/9
- 8y = 248/9
- y = 31/9
Answer:
The slope of the equation is 23
Step-by-step explanation:
First, we must simplify/solve the equation in order to find the slope
Let's get rid of the parentheses
y - 5 = 23x + 92
Then, combine like terms by moving 5 to the right side of the equation
y - 5 + 5 = 23x + 92 + 5
y = 23x + 97
The slope is always the number that is paired with "x"
Answer:
y= -7x+7
Step-by-step explanation:
y= mx+b
y= slope x+ y intercept
Answer:
40.4
Step-by-step explanation:
We don't have access to your drawing tools, so we have used our own. The attachment shows the triangle and the angle.
∠ABC ≈ 40.4°
56 / (7/8) =
56 * 8/7 =
448/7 =
64.......so there are 64 total paperclips
64 * 0.03 = $ 1.92 <=== to get a total of 56 inches, u would have to use 64 paper clips costing u $ 1.92