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Luden [163]
4 years ago
9

In our school Auditorium 1/6 of the students are 5th graders, 1/3 are fourth graders, and 1/4 of the remaining students are 2nd

graders. If there are 96 students in the Auditorium how many 2nd graders are there
Mathematics
1 answer:
Galina-37 [17]4 years ago
6 0

5th graders: \frac{1}{6} x 96 = 16

4th graders: \frac{1}{3} x 96 = 32

Remaining students: 96 - 16 - 32 = 48

2nd graders: \frac{1}{4} x 48 = 12

Answer: 12 students

*********************************************************************************************

here is a breakdown by grade level:

5th graders = 16, 4th graders = 32, 2nd graders = 12, all other grades = 36

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What does 2 times the quantity x plus 6 look like in an equation
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6 0
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Answer:

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Step-by-step explanation:

6 0
3 years ago
Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
4 years ago
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