Answer:
26 2/3 minutes: The two boys meet after 26 2/3 minutes
Step-by-step explanation:
Distance covered by Jim = Distance covered by Bob
(5 mph)(t) = (8 mph)(t - 10)
Simplify this by performing the indicated multiplication:
(5 mph)(t) = (8 mph)(t) - 80 mi
or:
80 mi = (3 mph)(t), or
80 mi
t = ----------- = 26 2/3 minutes
3 mph
Answer:
∠ HGL = 73°
Step-by-step explanation:
KL is a midsegment of the triangle and is parallel to HG, then
∠ KLJ = ∠ HGL ( corresponding angles ), so
9x - 62 = 5x - 2 ( subtract 5x from both sides )
4x - 62 = - 2 ( add 62 to both sides )
4x = 60 ( divide both sides by 4 )
x = 15
Thus
∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°
So there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other.
(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups
(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)
this comes out 4.8 cups/1 minute
Since the total degree of a triangle is 180, subtract 44 from 180 = 136. Divide it by two, and you get 68. I believe this is correct but don't take my word for it. Good luck!
