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blagie [28]
3 years ago
13

in an election an amount of votes was share among parties A,B and C in the ratio of 1:2:4. How many votes party B obtained if pa

rty C got 1500 more votes than A?​
Mathematics
1 answer:
spayn [35]3 years ago
7 0

1000

Step-by-step explanation:

Let the share of votes obtained by the parties A, B and C be x, 2x and 4x respectively.

According to the given information:

No of votes obtained by C = 1500 + No of votes obtained by A

\therefore 4x = 150. + x \\\\\therefore 4x - x = 1500\\\\\therefore 3x = 1500\\\\\therefore x = \frac{1500}{3} \\\\\therefore x = 500\\\\\because Votes \:obtained\: by \:B = 2x \\\\\therefore Votes \:obtained\: by \:B = 2\times 500\\\\\purple {\bold {\therefore Votes \:obtained\: by \:B = 1000}} \\\\

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6. If you spun the spinner below, what are the odds that you will spin an
denis23 [38]

If you mean that is a 4 digit number then here is your answer.

Answer:

1:1

Step-by-step explanation:

So there is 1000 to 9999. That includes 9999-999= 9000 numbers. Since each number it is either a odd number or an even number, we can say that it is 1:1 There would be 4500 odd and 4500 even numbers. Every even number is followed by an odd number. for example: 1000-1001 1002-1003 1004-1005

so on so you would get to the point that you get to 9998-9999

Hope it helped you!

8 0
3 years ago
When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equ
jarptica [38.1K]

Answer:

r = 105

Step-by-step explanation:

Given quadratic equation:

x² − 9x − 6

Quadratic formula is given by:

(-b ± √b² - 4ac) ÷ 2a

For the equation: x² - 9x - 6

a = 1, b = -9 and c = -6

Substitute in the quadratic formula:

(-b ± √b² - 4ac) ÷ 2a

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2

Therefore, the value of r is 105

4 0
3 years ago
Don’t remember how to do this , ?
andriy [413]

28. The ratio of games they won to total games played = 12: 14 = 6: 7.

29. Max's pay rate is 9.50 dollars per hour.

30. The value of n is 9.

Step-by-step explanation:

Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.

The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.

Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.

Money earned per hour = \frac{380}{40} = $9.50. So Max's pay rate per hour is $9.50.

Step 3; The given proportion is

\frac{n}{12} = \frac{18}{24}, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side

n = \frac{18}{24} × 12 = \frac{3}{4} × 12 = \frac{36}{4} = 9.

7 0
3 years ago
The distance from Kenya's house to her job is 18 miles. One morning she left her house at 7:15 a.m. She traveled at the rate of
Snezhnost [94]

20 minutes = 1/3 of an hour

1/3 = 0.333

 1/3 x 45mph = 15, so she drove 15 miles at 45mph

18-15 = 3

3 miles/ 20 mph = 0.15 hours


0.333+0.15 = 0.483 hours total

0.483 x 60 = 28.98 so approximately 29 minutes total driving time

7:15 + 29 minutes is 7:44 am she arrived at work

8 0
3 years ago
Do the ratios 42/56 and 56/64 form a proportion?<br> if they do explain your answer
Volgvan
Lets check...

42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional

proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional
4 0
3 years ago
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