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krok68 [10]
9 months ago
14

Nathan used 2 cups of milk to make a cake. He used 1/2 cup more to make frosting. Then he drank 3/4 cup. How much milk did he us

e in all?
Mathematics
1 answer:
postnew [5]9 months ago
8 0

We were told that he used 2 cups of milk to make a cake, used 1/2 cup more to make frosting and he drank 3/4 cup. Thus, the total number of cups that he used is

2 + 1/2 + 3/4

= (8 + 2 + 3)/4

= 13/4

= 3 1/4 cups

He used 3 1/4 cups in all

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Write the following comparison as a ratio reduced to lowest terms.<br> 114 hours to 13 days
kicyunya [14]

The ratio of 114 hours to 13 days is 19:52.

<h3>How to calculate the ratio?</h3>

It should be noted that ratio is simply used to show the comparison between two things that are illustrated.

In this case, we want to calculate the ratio of 114 hours to 13 days. It should be noted that 24 hours make one day. Therefore, 13 days will be:

= 13 × 24 = 312 hours.

The ratio of 114 hours to 13 days will be:

= 114 / 312

= 19 / 52

The ratio is 19:52.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

6 0
1 year ago
Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volum
nalin [4]
By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:
V=pi*h*r^2/3
Lets solve this relation for the radius:
3V=pi*h*r^2&#10;
\frac{3V}{pi*h} =r^2
\sqrt{\frac{3V}{pi*h}} = r
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185*\sqrt{V}
5 0
3 years ago
Einstein Office Equipment has a rental plan for office machines. A fax machine that lists for $722.98 can be rented for 22% of t
Archy [21]

Answer:

$13.68


Step-by-step explanation:

Assuming they rent for 1 year, the cost is broken down as follows:


Annual renting cost = 22% of 722.98 = \frac{22}{100}*722.98=0.22*722.98=159.06


Usage charge = 3.2% of 159.06 = \frac{3.2}{100}*159.06=0.032*159.06=5.09

Thus,

Total annual charge = Annual renting cost + Usage charge = 159.06 + 5.09 =164.15


Monthly rental charge would be 164.15 divided by 12 (12 months in 1 year):

\frac{164.15}{12}=13.68 dollars

6 0
3 years ago
Read 2 more answers
A cylindrical cooler has a diameter of 30 inches and a height of 24 inches . If a cup has a diameter of 3 inches and a height of
Aleks04 [339]

Answer:

The answer to your question is 600 cups

Step-by-step explanation:

Data

Cylinder                            Cup

diameter = 30 in               diameter = 3 in

height = 24 in                    height = 4 in

Process

1.- Calculate the volume of the cylinder

Volume = πr²h

-Substitution

Volume = (3.14)(30/2)²(24)

-Simplification

Volume = (3.14)(15)²(24)

Volume = (3.14)(225)(24)

-Result

Volume = 16959 in³

2.- Calculate the volume of the cup

Volume = (3.14)(3/2)²(4)

-Simplification

Volume = (3.14)(1.5)²(4)

Volume = (3.14)(2.25)(4)

-Result

Volume = 28.26 in³

3.- Divide the volume of the cylinder by the volume of the cup

Number of full cups =  16959 in³ /  28.26 in³

Number of full cups = 600

8 0
3 years ago
Read 2 more answers
How many marbles, each with a volume of 36 cubic centimeters, are needed to fill in a cylindrical vase with a radius of 6 centim
ANEK [815]
The volume of a cylinder can be found using the formula:

π r² h, 

where r is the radius of the circular base and h is the height of the cylinder.

If we plug in the measurements of the cylinder, we get:

π (6²) (28)

When this is simplified, we get that the volume of the cylinder is:

1008π cubic cm

Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.

1008π / 36π = 28

Therefore, the answer is D. 28 marbles
7 0
3 years ago
Read 2 more answers
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