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larisa [96]
3 years ago
12

Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving. If evil bunny has chopped 7 1/2 cups of chopped carr

ots, how many servings of carrot soup can he make?
Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

12 servings

Step-by-step explanation:

Given:

Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving.

If evil bunny has chopped 7 1/2 cups of chopped carrots.

Question asked:

How many servings of carrot soup can he make?

Solution:

<u><em>By unitary method:</em></u>

\frac{5}{8} cups of chopped carrots used for = 1 serving of carrot soup

1 cup of chopped carrots used for = \frac{1}{\frac{5}{8} } = 1\div\frac{5}{8} =1\times\frac{8}{5} =\frac{8}{5} servings

7\frac{1}{2} cups of chopped carrots used for = 7\frac{1}{2} \times\frac{8}{5} =\frac{7\times2+1}{2} \times\frac{8}{5} =\frac{15}{2} \times\frac{8}{5}=\frac{120}{10} =12

Thus, 12 servings of carrot soup could be made.

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Answer:

\large\boxed{y=\dfrac{2}{3}x-4}

Step-by-step explanation:

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7 0
2 years ago
Help please? It’s math.
Umnica [9.8K]
Answer:
X = 7/5
when the value of x is 7/5 the equation will be true
Step-by-step explanation:
To fine the value of x that makes the equation true, we equate the expression to zero to find the value of x.
Check attachment for processes
Therefore when the value of x is 7/5 the equation will be true
8 0
3 years ago
Can somebody please help me?
ElenaW [278]
 <span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians. 

Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm 

The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is: 

1/12 *[2 *pi*r]=1/12*[12*pi]=pi 

so the difference is 19pi 

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2 years ago
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8 0
2 years ago
Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i
user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is V=l\times w\times h

Where, l is the length of the prism l=45 cm

w is the width of the prism w=12 cm

h is the height of the prism h=10 cm

Substitute the value in the formula,

V=45\times 12\times 10

V=5400\ cm^3

Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.

7 0
3 years ago
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