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Mashutka [201]
3 years ago
12

In a school, 60% of the students are boys. if the number of girls is 120, what is the number of boys in that school?

Mathematics
1 answer:
Luden [163]3 years ago
4 0
There are 180 boys in the school.
40% of the students are girls.
120/40 = x/60
multiply 120 by 60
divide 7200 by 40
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If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor
Anarel [89]

Answer:

12

Step-by-step explanation:

The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

8 0
2 years ago
What are the roots of the polynomial equation 3x^4+12x^2=6x^3
Dominik [7]
Factor the equation to give
3x^4+12x^2=6x^3
3x^4+12x^2-6x^3=0
x^2(3x^2+12-6x)=0
By the zero product property, either x^2=0 or (3x^2+12-6x)=0 or both.
If x^2=0, then x=0
if (3x^2+12-6x)=0, we use the quadratic formula to solve for x
where x=1 ± √ (3) i

Answer: the roots of <span>3x^4+12x^2=6x^3 are {0 (multiplicity 2), 1+&radic;3 i, 1-&radic;3 i}</span>
7 0
3 years ago
(4+5)-2 thxs for answering!!!!!!!!!!!!!!
Arisa [49]

Answer: 7

Step-by-step explanation:

(4+5)-2

You can either remove brackets and just do a little addition and subtraction.

4+5-2

9-2\\7

So the answer is 7.

Or just finish things inside the brackets first.

(4+5)-2\\9-2\\7

So the answer is 7.

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8 0
3 years ago
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The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l
sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

A=\frac{\sqrt{3} }{4} x^2

(c)

A=\frac{3\sqrt{3} }{2} x^2

(d)

V=\frac{3\sqrt{3} }{2} x^3 units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

=\frac{\sqrt{3} }{4} b^2

h=3x

b=x

now, we can plug values

A=\frac{\sqrt{3} }{4} x^2

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

=6\times \frac{\sqrt{3} }{4} x^2

=\frac{3\sqrt{3} }{2} x^2

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)

V=\frac{3\sqrt{3} }{2} x^3 units^3


3 0
3 years ago
Read 2 more answers
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