Answer: 8 hours
Step-by-step explanation:
<u>Given information</u>
Admission fee = $7.00
Hour rent fee = $1.50
Number of hours = h
Total fee = $19
<u>Set equation according to the given information</u>
Total fee = admission fee + (hours) × (hour rend fee)
<u>Substitute values into the equation</u>
19 = 7 + 1.5h
<u>Subtract 7 on both sides</u>
19 - 7 = 7 + 1.5h - 7
12 = 1.5h
<u>Divide 1.5 on both sides</u>
12 / 1.5 = 1.5h / 1.5
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Answer:
A)
B)
Step-by-step explanation:
AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB
A) Therefore, AP = 2QB
QB = AP/2
The midpoint of QB = QB/2 = (AP/2)/2 = AP/4
AP = 2PQ, Therefore PQ = AP/2
Since the length of AB = a
AB = AP + PQ + QB = a
AP + AP/2 + AP/2 = a
AP + AP = a
2AP = a
AP = a/2
The distance between point A and the midpoint of segment QB = AP + PQ + QB/2 = AP + AP/2 + AP/4 = 7/4(AP)
But AP = a/2
Therefore The distance between point A and the midpoint of segment QB = 7/4(a/2)=
B)
the distance between the midpoints of segments AP and QB = AP/2 + PQ + QB/2 = AP/2 + AP/2 + AP/4 = 5/4(AP)
But AP = a/2
Therefore the distance between the midpoints of segments AP and QB = 5/4(AP) =