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3 years ago

The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V.

Mathematics

1 answer:

ollegr [7]3 years ago

3 0

Answer:

249.14 mm³

Step-by-step explanation:

r = diameter/2

= 7.8 /2

volume = 4/3 π r³

= 4/3 * 3.15 * (7.8/2)³

= 249.14 mm³

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In a recent student body election, Adam received 40 more than 40% of the votes. Brigitte received 40 less

Airida [17]

The total vote cast was 700.

The winner was Adam (received 320 votes)

Why?

To solve the problem, we need to make equations to express the number of votes received for each of the candidates.

Solving we have:

Let be "v" the total vote cast,

For Adam,

$A=40+0.4*v$

For Brigitte,

$B=0.5(40+0.4v)-40$

$B=20+0.2v-40$

$B=0.2v-20$

For Carl,

$C=20+0.5*B$

$C=20+0.5*(0.2v-20)$

$C=10+0.1v$

For Diane,

$D=180votes$

Now, the total vote cast will be:

$v=A+B+C+D\\\\v=(40+0.4v)+(0.2v-20)+(10+0.1v)+180\\\\v=(40-20+10+180)+(0.4v+0.2v+0.1v)$

$v=210+0.7v\\\\v-0.7v=210\\\\v=\frac{210}{0.3}=700$

Now, substituting "v" in each equation to calculate the number of votes for each candidate, we have:

$Adam=40+0.4*700=320votes\\Brigitte=0.2*700-20=120votes\\Carl=10+0.1*700=80votes\\Diane=180votes$

Hence, we have that the total vote cast was 700, and the winner was Adam (received 320 votes)

Have a nice day!

7 0

3 years ago

I need some help pls thx

Tresset [83]

Answer:

Graph A represents a function

Step-by-step explanation:

in a function every input will have its own specific output.

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2 years ago

What is - 1.8 = h - 4.7?

White raven [17]

The answer is h= 2.9
steps:
-1.8 = h-4.7
+4.7 +4.7
2.9 = h

7 0

2 years ago

Read 2 more answers

How many minutes is 40% of 2 hours

andrew11 [14]

1 hours is equal to 60 minutes.
2 hours = 120 minutes

40% is 120 minutes = 120*40/100 = 48 minutes

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3 years ago

At a pet store, an iguana eats 7 ounces of food for every 2 ounces a

zzz [600]

25 add them up Your welcome

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3 years ago

The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V.​

The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V.