Thomas is planning a trip to India. He is currently deciding which cities he would like to visit during his stay. The table belo
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
Step-by-step explanation:
Let x be the number of students that like both algebra and geometry. Then:
1. 45-x is the number of students that like only algebra;
2. 53-x is the number of students that like only geometry.
You know that 6 students do not like any subject at all and there are 75 students in total.
If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.
Therefore,
Solve this equation:
You get that:
29 students like both subjects;
45-29=16 students like only algebra;
53-29=24 students like only geometry;
24+6=30 students do not like algebra;
16+6=22 students do not like geometry.
a = 29, b = 16, c = 24, d = 30, e = 22
<h3>The correct choice is D.</h3>