I believe this is the answer
Bug P has moved to +12 in 4 seconds, so is moving +3 units in each second.
.. x = 3t
Bug N has moved to -8 in 4 seconds, so is moving -2 units in each second.
.. y = -2t
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"per" means "divided by" (and vice versa), so -8 units per 4 seconds means
.. (-8 units)/(4 seconds) = -2 units/second . . . . . . . . reduce the fraction
When you multiply this fraction by a number of seconds, you cancel the "seconds" and the result is some number of units. For example,
.. (-2 units/second)*(4 second) = -8 units·second/second = -8 units
That is, speed multiplied by time gives distance.
In the equations above, we understand that the "3" means "3 units/second", and the "t" means "t seconds". Then when you multiply, the resulting x means "x units". The measures are usually left off and the equations are understood to give correct results when the variables have appropriate measures.
38. Elise and Martha both saved $65.
39. 384 total ounces of water
Answer:
<h2>e = 1.75</h2>
Step-by-step explanation:
![\text{If}\ \Delta TOP\sim\Delta ACE,\ \text{then corresponding sides are in proportion.}\\\\\dfrac{TO}{AC}=\dfrac{OP}{CE}\\\\TO=p=3.5\\AC=e\\OP=t=4.25\\CE=a=2.125\\\\\text{Substitute:}\\\\\dfrac{3.5}{e}=\dfrac{4.25}{2.125}\qquad\text{cross multiply}\\\\4.25e=(3.5)(2.125)\\\\4.25e=7.4375\qquad\text{divide both sides by 4.25}\\\\e=\dfrac{7.4375}{4.25}\\\\e=1.75](https://tex.z-dn.net/?f=%5Ctext%7BIf%7D%5C%20%5CDelta%20TOP%5Csim%5CDelta%20ACE%2C%5C%20%5Ctext%7Bthen%20corresponding%20sides%20are%20in%20proportion.%7D%5C%5C%5C%5C%5Cdfrac%7BTO%7D%7BAC%7D%3D%5Cdfrac%7BOP%7D%7BCE%7D%5C%5C%5C%5CTO%3Dp%3D3.5%5C%5CAC%3De%5C%5COP%3Dt%3D4.25%5C%5CCE%3Da%3D2.125%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%5Cdfrac%7B3.5%7D%7Be%7D%3D%5Cdfrac%7B4.25%7D%7B2.125%7D%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C4.25e%3D%283.5%29%282.125%29%5C%5C%5C%5C4.25e%3D7.4375%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%204.25%7D%5C%5C%5C%5Ce%3D%5Cdfrac%7B7.4375%7D%7B4.25%7D%5C%5C%5C%5Ce%3D1.75)
8 - 4m - 20 = 3m - 27
- 4m - 12 = 3m - 27
+4m +4m
- 12 = 7m - 27
+27 + 27
15 = 7m
m = 15/7