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BaLLatris [955]
3 years ago
14

In a recent survey of 974 voters, 724 indicated that they were in favor of a new city park, while the other 250 voters said that

they were opposed.
Using this survey as a basis, if 40,000 citizens vote next week, how many are likely to be opposed to the new park? Round to the nearest whole number.
A) 11.345
B) 9,457
C) 9,927
D) 10,267
Mathematics
1 answer:
Marrrta [24]3 years ago
3 0
250/974 = x/40,000...250 opposed to 974 total = x opposed to 40,000 total
cross multiply because this is a proportion
974x = 10,000,000
x = 10,000,000/974
x = 10266.94 rounds to 10,267 <==
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Step-by-step explanation:

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3 years ago
A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
Complete the solution of the equation. fine the value of y when x equals 4.
Helen [10]

y = - 5

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9y = - 45 ( divide both sides by 9 )

y = \frac{-45}{9} = - 5


7 0
3 years ago
Read 2 more answers
What does this equal? I keep getting different answers every time I try it.​
bija089 [108]

Answer:

19/6 ...or... 3.16 repeating

Step-by-step explanation:

4 5/8 + 2/3 = 19/6

5 0
2 years ago
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