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IceJOKER [234]
3 years ago
6

A candidate took a phone poll of 114 people and found that 87 said they would vote for the other person. There are 9918 people i

n the district. About how many people are going to vote for the other candidate
A. 7669 people
B. 7569 people
C. 75,869 people
D. 7596 people
Mathematics
1 answer:
nlexa [21]3 years ago
6 0
Using ratio and proportion, we can solve this problem.
Take the ratio and proportion to both sides,  
87people will vote for other person/114 total people=x people/9918 total people
rearrange the equation to get the value of x
x= 7569
The answer is letter b.7569 people.
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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
They need ​$146,000 for the franchise. They invest in a ​3:6 ​ratio, respectively.
jeka57 [31]

Answer:

Step-by-step explanation:

sum of ratio=3+6=9

Jeff invest=3/9×146,000=146000/3=48666 2/3 $

Trudy invest=6/9×146,000=292,000/3=97,333 1/3 $

6 0
2 years ago
6th grade math ! C: help please
densk [106]

Answer:

9

Step-by-step explanation:

45 Cookies... 5hrs

? cookies... 1 hr

45 ÷ 5 = 9

9 cookies per hour

7 0
2 years ago
56of the 90pets in the pet show are cats 4/5of the cats are calico cats. What fraction of the pets are calico cats?
meriva
To get the answer, we can divide 56 by 5 to find one fifth of the cats. Then, we can multiply this number to get four fifths of the cats. Then, we put this number over 90 since there is 90 pets in the entire show. Then, this answer ends up being about half all of the pets are calicos.
4 0
3 years ago
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The correct answer is summer because of heat
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