The capacity of the mug is 7/6 cups.
<h3>
What is the capacity of the mug?</h3>
Given,
A mug is 3/7 full.
The mug contains 1/2 of a cup of water.
Solution:
Let x be the water.
Water the mug has = 3/7 of x
= 3/7x
Since the water in the mug is 1/2 cup,
3/7x = 1/2
x = 1/2 ÷ 3/7
= 1/2 × 7/3
= 7/6
Therefore,
The capacity of the mug is 7/6 cups.
To learn more about capacity, refer
brainly.com/question/13484626
#SPJ9
300 is a multiple of 3,5,1, and 50
<span>The ratio of boys to girls is 12 to 16, 12:16 or 12/16 </span>
Answer:
Ratio of circumferences: 
Ratio of radii: 
Ratio of areas: 
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is 
- The circumference of Circle L is 
Therefore, the ratio of their circumferences would be:
⇒
when simplified
The formula for circumference is
, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is
, or
, then its radius is
.
If the circumference of Circle L is
, then its radius is
, which is 2.
Therefore the ratio their radii would be:
⇒
⇒
when simplified
The formula for area is:

First, let's find the area of Circle K:

Now, let's find the area of Circle L:

Therefore, the ratio of their areas would be:
⇒
⇒
⇒
when simplified
I hope this helps!
Answer:
x = 200
Step-by-step explanation:
Multiply by 4:
x + 120 + 2x = 720
3x = 600 . . . . . . collect terms, subtract 120
x = 200 . . . . . . . divide by 3
_____
<em>Check</em>
(200/4 +30) +(200/2) = 180
(50 +30) + 100 = 180
80 + 100 = 180 . . . . . true
_____ _____
<em>Alternate solution</em>
If you like, you can simply work with the equation given.
(3/4)x + 30 = 180 . . . . collect terms
(3/4)x = 150 . . . . . . . . . subtract 30
x = 200 . . . . . . . . . . . . multiply by 4/3