Answer: 1 1/6
Step-by-step explanation:
Let the amount of students that a bottle of juice can cater for be x. Therefore,
2/3 × x = 12
2x/3= 12
2x = 12 × 3
2x = 36
x = 36/2
x = 18
Since Mrs. Williams gave juice to 21 students, the number of bottles of juice that was used will be:
= 21/18
= 1 3/18
= 1 1/6
Answer:
r = 3m
Step-by-step explanation:
Formula for the volume of a sphere: V = 


We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation
Divide both sides by 
= 

Divide both sides by 
= 
Take the cube root of both sides
= r
Substitute V = 36
into the equation
r = ![\sqrt[3]{\frac{3(36\pi) }{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2836%5Cpi%29%20%7D%7B4%5Cpi%20%7D%20%7D)
Expand the bracket
r = ![\sqrt[3]{\frac{108\pi }{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B108%5Cpi%20%7D%7B4%5Cpi%20%7D%20%7D)
Divide 108
by 4
(For this, the two
in the numerator and denominator cancel each other out, and you only need to divide 108/4)
r = ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
The cube root of 27 is 3, because
= 3 x 3 x 3 = 27
r = 3
Dilation by a scale factor of 2 followed by reflection across the x-axis
graphed in the image attached with points,
hope this helps :D