40 boys and 68 girls
let's start with variables and an equation.
boys: x
girls: 2x - 12
and we know that boys and girls make up the class. so let's add the two expressions.
x + 2x - 12 = 108
3x - 12 = 108
+ 12 + 12
3x = 120
x = 40 boys
BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.
2x - 12 = # of girls
2(40) -12 = # of girls
80 - 12 = # of girls
68 girls
let's check our answer!
68 + 40 does in fact add to 108, therefore our answer is correct.
Answer:
<h3>The diameter is 4cm</h3>
Step-by-step explanation:
Volume of a sphere is

Where r is the radius
diameter = radius × 2
To find the diameter we must first find the radius
Volume = 34cm³
That's
![34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm](https://tex.z-dn.net/?f=34%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%2034%20%5Ctimes%203%20%3D%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20102%20%3D%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%7Br%7D%5E%7B3%7D%20%20%20%3D%20%5Cfrac%7B102%7D%7B4%7D%20%5Cpi%20%5C%5C%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B51%7D%7B2%5Cpi%7D%7D%20%20%5C%5C%20%20%5C%5C%20r%20%3D%202.01%20%5C%5C%20%20%5C%5C%20r%20%3D%202.0%20cm)
Diameter = 2 × 2cm
<h3>= 4cm</h3>
Hope this helps you
Answer:
The equation is 8q-6=2q-48
The answer is -9
Step-by-step explanation:
8q-6=2q-48 Subtract 2q on both sides
6q-6=-48 Add 6 on both sides
6q=-48. Divide 6 on both sides
q=-9. Answer
Answer:
number 5:4/12
#6: 25/45
#7: 26/44
#8: 52/30
Step-by-step explanation:
Answer:
x≤-20
Step-by-step explanation:
x+ 17≤-3
Subtract 17 from each side
x+ 17 -17≤-3-17
x≤-20