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vfiekz [6]
3 years ago
15

one fourth of the 7th grade students made honor roll in the first quarter. the number of honor roll students increased by 18 in

the second quarter. If 105 students made honor roll in the second quarter. How many total 7th graders are there?
Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

1/4 of x students made the honor roll in the first quarter

1/4 of x plus 18 equals 105

1/4 x + 18 = 105

1/4 x + 18 - 18 = 105 - 18

1/4 x = 87

Reciprocal to isolate variable

4/1(1/4 x) = 87(4/1)

x = 348

There is a total of 348 students in 7th grade

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Step-by-step explanation:

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To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

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