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andre [41]
2 years ago
7

In an election, Candidate A received 75 votes and candidate B received 25 votes, after the first 100 votes were counted. Assume

this ratio is maintained. If Candidate B received 750 votes, how many votes did Candidate A receive
Mathematics
1 answer:
Irina18 [472]2 years ago
7 0

Answer:

2250 votes

Step-by-step explanation:

Given,

Candidate A  :   Candidate B

        75            :          25

ratio:  3            :            1

If,  candidate B = 750 votes

1 --> 750 votes

3 --> 750 * 3 = 2250 votes

Candidate A receives 2250 votes.

You might be interested in
In order for this ratio of volumes to be true, what measurements would have to be equal in all 3 solids?
Neporo4naja [7]

The measurements of the figures that should be equal in order for the ratio of volumes between the volumes of the cone, sphere, and cylinder of 1:2:3 to be true is; The radius and the height

<h3>What is a ratio?</h3>

A ratio is a comparison between the magnitudes or measurements of items, expressing the number of times one item in the ratio is contained within another item in the ratio.

The formula for the volume of a cone, V_p is, V_p = (1/3)·π·r₁²·h₁

The formula for the volume of a sphere, V_s, is V_s = (4/3)·π·r₂³

The formula for the volume of a cylinder, V_c, is V_c = π·r₃²·h₃

The ratio of the volumes in the question is 1:2:3

Therefore; The volume of the sphere is twice the volume of the cone, and the volume of the cylinder is three times the volume of the cone, which indicates;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁...(1)

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁...(2)

Equation (1) indicates that we have;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁

Where, h₁ = 2·r₂, we get;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·(2·r₂) = (4/3)·π·r₁²·r₂

Therefore; r₁ = r₂, and the diameter of the sphere is equal to the height of the cone

The radius of the cone is equal to the radius of the sphere

Equation (2) indicates;

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁ = π·r₁²·h₁

Therefore;

r₃²·h₃ = r₁²·h₁

r₃ = r₁

h₃ = h₁

The radius of the cone = The radius of the cylinder

The height of the cone = The height of the cylinder

  • The ratio of the volumes, 1 : 2 : 3 is true when the measurements of the radius and the height are equal for all three solids.

Learn more about the volume of regular solids here:

brainly.com/question/15316195

#SPJ1

4 0
1 year ago
Use long division to convert -45/8 to a decimal.
Olenka [21]
The answer is A. -5.625
7 0
3 years ago
Read 2 more answers
What is the magnitude of -3 +4i?
Goshia [24]

Answer:

we have

-3+4i

let magnitude be |z|

|z|=\sqrt{( - 3) {}^{2}  + 4 {}^{2} }

|z|=5 unit

6 0
3 years ago
Find m∠IUV if m∠IUV=x+49, m∠TUI=x+63, and m∠TUV=106∘.?<br> I'll mark you brainliest!
8090 [49]

Answer:

46

Step-by-step explanation:

You have to do IVU+TUI=TUV

so... x+49+x+63=106

5 0
3 years ago
3 + 12 + 48 + 192 + ...<br> Whats the answer
Alex
The sequence is to take the previous number and multiply by 4, so the sequence is

3 12 48 192 768 3072 12288

add them all up and you get 16383
8 0
2 years ago
Read 2 more answers
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