The volume of a rectangular prism:
insert
The volume of a cylinder:
insert:
Response: C. The cylinder possesses a larger volume.
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of m
2 answers:
Solution:
Henri can afford to travel 17 miles by taxi
Step-by-step process:
Given: A taxi company charges a base fare of $1.25 plus $0.75 per mile. Henri has $14 available.
Find: How many miles Henri can afford within his budget.
Method:
Let x be the distance in miles.
Let y represent total cost.
Taxi charges include a fixed $1.25 fee and $0.75 for every mile traveled.
That is,
Henri's budget equals $14
Therefore, y = 14
Now solve the equation:
Hence, Henri can afford 17 miles.
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Response: 7
Detailed explanation:
A Venn diagram can help visualize this problem.
There are a total of 5 students interested in both French and Latin.
Out of these, 3 students also want to learn Spanish, meaning only 2 students want solely French and Latin.
Moreover, there are 5 students who wish to study only Latin.
This results in 1 student wanting both Latin and Spanish, calculated by 11 - 5 - 3 - 2.
There are 8 students who desire only Spanish, and 4 students who want both Spanish and French.
In the same manner, those wishing to study only French amount to 16 - 4 - 3 - 2 = 7.
