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Mathematics
04.08.2020 18:14
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A school admissions office accepts 3 out of every 5 applicants. given that the school

A school admissions office accepts 3 out of every 5 applicants. given that the school accepted 750 students how many students applied?
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ashiteru123
ashiteru123
5,0(79 marks)

1250 Students applied.

Step-by-step explanation:

If you set it up as a proportion and then cross multiply, it comes out to 3x=3750 so then you would simplify and get x = 1250 as your answer!

Hope this helps!

quetzaliescalona
quetzaliescalona
4,6(94 marks)

1. -9 (x^2 - 12) (x^2 + 12)

2. 3\left(x^2-7y^3\right)\left(x^4+7x^2y^3+49y^6\right)

3. 5a\left(a^2b^{5}+6x^2\right)^2

4. 9y\left(y-3\right)\left(x^2-8\right)

Step-by-step explanation:

1.

The given expression is

-9x^4+1296

Taking out GCF,

-9(x^4-144)

-9((x^2)^2-(12)^2)

-9(x^2 - 12) (x^2 + 12)          [\because a^2-b^2=(a-b)(a+b)]

2.

The given expression is

3x^6-1029y^9

Taking out GCF,

3(x^6-343y^9)

3((x^2)^3-(7y^3)^3)

3\left(x^2-7y^3\right)\left(x^4+7x^2y^3+7^2y^6\right)          [\because a^3-b^3=(a-b)(a^2+ab+b^2)]

3\left(x^2-7y^3\right)\left(x^4+7x^2y^3+49y^6\right)

3.

5a^5b^{10}+60a^3b^5x^2+180ax^4

Rewrite the above expression.

5aa^4b^{10}+12\cdot \:5aa^2b^5x^2+36\cdot \:5ax^4

Taking out GCF,

5a\left(a^4b^{10}+12a^2b^5x^2+36x^4\right)

5a\left((a^2b^{5})^2+2(6a^2b^5)x^2+(6x^2)^2\right)

5a\left(a^2b^{5}+6x^2\right)^2          [\because (a+b)^2=a^2+2ab+b^2]

4.

9x^2y^2-27x^2y-72y^2+216y

Rewrite the above expression.

9x^2yy+3\cdot \:9x^2y+8\cdot \:9yy+24\cdot \:9y

Taking out GCF,

9y\left(x^2y-3x^2-8y+24\right)

9y\left((x^2y-3x^2)+(-8y+24)\right)

9y\left(x^2(y-3)-8(y-3)\right)

9y\left(y-3\right)\left(x^2-8\right)

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