Let d represent the distance of the destination from the starting point.
After 45 min, Henry has already driven d-68 miles. After 71 min., he has already driven d-51.5 miles.
So we have 2 points on a straight line:
(45,d-68) and (71,d-51.5). Let's find the slope of the line thru these 2 points:
d-51.5 - (d-68) 16.5 miles
slope of line = m = ----------------------- = ------------------
71 - 45 26 min
Thus, the slope, m, is m = 0.635 miles/min
The distance to his destination would be d - (0.635 miles/min)(79 min), or
d - 50.135 miles. We don't know how far his destination is from his starting point, so represent that by "d."
After 45 minutes: Henry has d - 68 miles to go;
After 71 minutes, he has d - 51.5 miles to go; and
After 79 minutes, he has d - x miles to go. We need to find x.
Actually, much of this is unnecessary. Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is
(0.635 miles/min)(8 min) = 5.08 miles. Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.
1.a. correct
1.b. 
1.c. correct
1.d. 
2.a. 7 - x + 3w - 9
Terms: 7, -x, 3w, -9
Variables: x, w
Coefficients: -1, 3
Constants: 7, -9
2.b. -g + 8k - 3 - 7
Terms: -g, 8k, -3, -7
Variables: g, k
Coefficients: -1, 8
Constants: -3, -7
3.a. correct
3.b. correct
3.c. -5+ 4x = -x
4.a. 4(2x + 3) = 8x + 12
4.b. -2(3x + 4) = -6x - 8
4.c. -5(2x - 3) = -10x + 15
Answer:
almost 567 students
Step-by-step explanation:
all fruits = 23+18+34+27+18 = 120
possibility of selecting an orange as favourite fruits by one student = 34/120 = 17/60
possibility of selecting an orange as favourite fruits by 2000 students = 17/60×2000 =1700/3 = 566.6666...=567 students
Answer:
20% decrease.
Step-by-step explanation:
difference over original
50.97-40.78= 10.19
diff/orig=sales tax
10.19 / 50.97= 19.99..
19.99 is approximately 20.
