Answer:
45 cans
Step-by-step explanation:
To find the volume of a cylinder, we need to find the area of the cross section, which in this case is π(radius)², and multiply it with the height of the cylinder
This means the pot has a volume of:
- pot has radius of 7.5in. as diameter is 2 x radius
π x (15/2)² x 11 = 618.75π in.³
The soup can has a volume of:
- soup can has radius of 1.5in. as diameter is 2 x radius
π x (3/2))² x 6 = 13.5π in.³
Divide the volume of the pot by the volume of the can to get how many cans of soup will it take to fill the pot:
618.75π in.³ ÷ 13.5π in.³ = 45.833... cans
The question states you need to round to nearest can which would be 45 cans, but personally, I thought you would always round up as 45 cans won't fill up the whole pot, but it's up to the question.
Answer:
38 + 3c
Step-by-step explanation:
- Apply the distributed property: (20 - 6) + 3c + 24
- 20 - 6 = 14
- Plug 14 in: 14 + 3c + 24
- Combine like terms: 38 + 3c
I hope this helps!
Answer:
16
Step-by-step explanation:
Pythagoras theorem states that:
In a right-angled triangle,the hypotenuse , altitude and base are related as:
In this question:
Hypotenuse = 20 units
Base = 12 units
Altitude = w = ?
By Pythagoras theorem:
Hence w = 16 units.
Answer:
3 1/3
Step-by-step explanation:
<u>Step 1</u> is to look at the problem.
Here, you notice that the first two numbers have fractions that are quarters. The total of those two fractions is 1/4 + 3/4 = 4/4 = 1.
So, the sum of the first two numbers is ...
1 1/4 + 3/4 = 1 +(1/4 +3/4) = 1 +1 = 2
<u>Step 2</u> is to add the next mixed number, which has a fraction with a different denominator. Since you have no fractions to add at this point, the sum is just ...
2 + 1 1/3 = 3 1/3
_____
<em>Comment on adding fractions</em>
Generally, adding fractions requires you determine a common denominator. Often, you are asked to find the <em>least</em> common denominator, but that isn't necessary. Sometimes that can save the work of reducing the fraction that results, but sometimes it makes more work.
Here, a common denominator for fourths and thirds would be twelfths:
1/4 = 3/12
1/3 = 4/12
However, since adding the fourths results in an integer, no common denominator is necessary.
