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3 years ago

In a school, the ratio of boys to girls is 4:3. There are 216 boys. How many girls are there?

Mathematics

1 answer:

tankabanditka [31]3 years ago

5 0

Answer:

162

Step-by-step explanation:

Divide 216 by 4

Then multiply 3 times

That's the answer

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Help me out here please

Maslowich

4 5 8 11

5+8/2 = 6.5

Hope this helps!

7 0

3 years ago

The gradient of the curve is given by the equation and a point on the curve is also given. Find the equation of the curve with w

IgorC [24]

Answer:

4 x^(3/2) + 5x -32

Step-by-step explanation:

This problem involves definite integration (anti-derivatives).

If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.

(1/2) + 1

This integrates to y = 6x

----------------

(1/2) + 1 x^(3/2)

= 6 ------------ + C

3/2

or: 4 x^(3/2) + C

and the ∫5dx term integrates to 5x + C.

The overall integral is:

4 x^(3/2) + C + 5x + C. better expressed with just one C:

4 x^(3/2) + 5x + C

We are told that the curve represented by this function goes thru (4, 20).

This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:

20 = 4 · 4^(3/2) + 5·4 + C, or:

20 = 4 (8) + 20 + C

Then 0 = 32 + C, and so C = -32.

The equation of the curve is thus 4 x^(3/2) + 5x -32

(1/2 + 1)

7 0

3 years ago

Artemis seeks knowledge of the width of Orion's Belt, which is a pattern of stars in the Orion constellation. She has previously

Verdich [7]

Answer:

Orion's belt width is 184 light years

Step-by-step explanation:

So we want to find the distance between Alnitak and Mintaka, which is the Orions belts

Let the distance between the Alnitak and Mintaka be x,

Then applying cosine

c²=a²+b²—2•a•b•Cosθ

The triangle is formed by the 736 light-years and 915 light years

Artemis from Alnitak is

a = 736lightyear

Artemis from Mintaka is

b = 915 light year

The angle between Alnitak and Mintaka is θ=3°

Then,

Applying the cosine rule

c²=a²+b²—2•a•b•Cosθ

c² =736² + 915² - 2×, 736×915×Cos3

c² = 541,696 + 837,225 - 1,345,034.1477702404

c² = 33,886.85222975954

c = √33,886.85222975954

c = 184.0838184897 light years

c = 184.08 light years

So, to the nearest light year, Orion's belt width is 184 light years

3 0

3 years ago

If there are 30 kids in a class and eleven of them were girls , what is the probability that a student picked a random girl ?

Tamiku [17]

Answer: 11/30

Step-by-step explanation:

11 girls out of 30 kids. 11/30 cannot be simplified.

3 0

3 years ago

Which function is graphed below?

GalinKa [24]

Answer:

f(x) = sin(x)

3 0

2 years ago