Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
<h3>Linear scale factor</h3>
If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
<h3>Volume scale factor</h3>
The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
So first multiply the whole numbers.
6x2=12
Now multiply 6 and 7. When multiplying a fraction like this, do the numerator ONLY. So it ends up being 42/10. That can be turned to a mixed number. To do that, find out how many times 10 can go into 42. The highest whole number is 4.
10x4=40 and there's 2 left over. So make it 2/10 which can be simplified to 1/5
Now add.
12+4=16+1/5= 16 1/5
C is the answer because the X factors can’t repeat
Answer:
Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11 USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign -x=11-5 subtract the numbers -x=6 final answer is X=-6
Fractions are numbers represented by the quotients of two integers
Rory's product is less than Maranda's because 13/9 is less than 13/3
<h3>How to determine why Rory has a lesser product</h3>
The expressions are given as:
Maranda: 4 1/3 * 4 1/3 * 1/3
Rory: 4 1/3 * 1 4/9
For Maranda, we have:

Rewrite the fraction

For Rory, we have:

Rewrite the fraction

When Maranda and Rory's expressions are compared, we have:
13/9 is less than 13/3
Hence, Rory's product is less than Maranda's because 13/9 is less than 13/3
Read more about fractions at:
brainly.com/question/11562149