This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows;
suppose there are x dimes and y quarters;
x+y=95.......i
but we know;
$0.1=1 dimes
$0.25=1 quarters
thus
0.1x+0.25y=23.45.....ii
solving equation i and ii by substitution we shall have:
from i;
x=95-y
thus substituting the value of x in equation ii we get
0.1(95-y)+0.25y=23.45
9.5-0.1y+0.25y=23.45
collecting like terms we get:
0.15y=13.95
dividing both sides by 0.15 we get;
y=13.95/0.15=93
x=95-93=2
therefore we conclude that there were 2 dimes and 93 quarters
15-13 = 2
2+15 = 17
so 17 is your answer
Answer:
- 0.25|h -1600| -400
- 1000
- 2200
Step-by-step explanation:
Once again, you can choose the correct equation by finding the one that gives d=0 for h=0. (Note that the problem statement requires the independent variable to be h, not x.)
Then you can use that equation to find h for d=-250:
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600|
600 = |h -1600|
This resolves to two equations:
- -600 = h -1600 . . . ⇒ . . . h = 1000
- 600 = h -1600 . . . ⇒ . . . h = 2200
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Or, you can realize the distance from the west end is 4 times the depth. At a depth of 250 ft, that distance is h=1000 ft. That is 600 ft from the center, so 1200 ft from the same depth on the other side of the crater, which is at h=2200 ft.