The ratio is 4:5
so girls=4x
and boys=5x
(because you don't know how many boys or girls there are)
then the equation would be
4x+5x=18
9x=18
so x=2
then 2 times 4 which equals 8
and 2 times 5 which equals 10
so there are 8 girls and 10 boys
Answer:
Please see below.
Step-by-step explanation:
I will be using * to express multiplication, and ^ to express squares.
A) Can you find the area of the shape?
Yes, we can.
We can simply multiply 5x - 3 by 2x, as seen below.
(2x)(5x - 3)
2x * 5x = 10x^2
2x * -3 = -6x
Area = 10x^2 - 6x
B) Can you find the perimeter of the shape?
Yes.
Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.
2x * 2 = 4x
2(5x - 3) = 10x - 6
4x + 10x - 6 = 14x - 6
Perimeter = 14x - 6
C) If x = 2, what is the area of the shape?
We can just plug in 2 wherever our x shows up.
5x - 3 = 5 * 2 - 3 = 10 - 3 = 7
2x = 2 * 2 = 4
7 x 4 = 28
We can also use our previous formula from A.
10x^2 - 6x
10 * 2^2 - 6 * 2
10 * 4 - 12
40 - 12
28
Our area if 28 if x = 2
Please let me know if any of these are incorrect.
Answer:
1649.33 units³
Step-by-step explanation:
Let the height and the radius be known as "h" and "r" respectively.
<u>Formulae(s):</u>
- Volume of cylinder: πr²h
- Volume of cone: πr²h/3
Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,
- ⇒ πr²h = 3(πr²h/3)
- ⇒ πr²h = πr²h (True)
<u>Determining the volume of the cylinder;</u>
- ⇒ Volume of cylinder = Volume of cone × 3
- ⇒ Volume of cylinder = 175π × 3
- ⇒ Volume of cylinder = 525π
- ⇒ Volume of cylinder = 1649.33 units³ (2 d.p)
Therefore, the volume of the cylinder is 1649.33 units³.
Answer:
0.91 Hours left
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
10 divided by 1 2/3
10/(1 2/3) = 10/(5/3) = (10/1)/(5/3) = 10/1 * 3/5 = 30/5 = 6
Answer: 6
