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OlgaM077 [116]
3 years ago
6

you and your friend go to Farmers Market you spent $13 on fruit then you and your friend each buy the same number of tomato plan

ts for $4 each. write a system of equations that represent the situation
Mathematics
2 answers:
Sophie [7]3 years ago
8 0
13/4=3.25 Your welcome
GarryVolchara [31]3 years ago
6 0

Let 'x' be the number of tomato plants bought

Total money spent by me = a = 13 + 4*x

Total money spent by my friend = b = 4*x

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3 years ago
Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

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Estimate to the nearest tenth.<br><br> negative square root 93
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