Answer:
The actual distance between the cities is 211.67 cm.
Step-by-step explanation:
Given:
The map key indicates that 4.5 cm is equivalent to 75 cm.
Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.
Let the actual distance be 
.
So, we set a proportion to find the actual distance:
4.5:12.7 = 75:x.
<em>Changing into fractions.</em>
<em>By cross multiplication we get:</em>
<em>Dividing both sides by 4.5 we get:</em>
Therefore, the actual distance between the cities is 211.67 cm.
Longest book: 396 Shortest book: 1/4×396=99 Middle book: 3×99= 297
<span>
If the book in the middle of her shelf has three times the number of pages of the shortest book then how many pages does the middle book have?
Answer: 297</span>
Answer:
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Step-by-step explanation:
208c + 52v = 5460
v = c + 10
where c = the price for a car rental and v = the price for a van rental.
To solve this system, use substitution; the second equation says v is equal to c + 10, so plug in "c + 10" for v in the first equation and solve for c:
208c + 52(c + 10) = 5460
208c + 52c + 520 = 5460
260c + 520 = 5460
260c = 4940
c = 19
Now that we have c, we can plug it in to the second equation to find v:
v = (19) + 10
v = 29
So, c = 19 and v = 29, meaning that
The cost of a car rental is $19 and the cost of a van rental is $29.
