Three candidates were running for president of a student council. Altogether, 1524 students cast a vote in the election. The second place candidate had 140 votes less than the winner, but 395 votes more than the last place candidate. What percentage of all the votes cast were received by the winner? (Round your answer to the nearest percent).

Answers

Answer 1

Answer:

48%

Step-by-step explanation:

The total number of votes casted = 1524 votes = 100%

Let a = votes of first place candidate

b = votes of second place candidate

c = votes of third place candidate

The second place candidate had 140 votes less than the winner

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

a + b + c = 1524 votes....... Equation 5

If a = b + 140 and c = b - 395

The number of votes by b(second place candidate ) =

b + 140 + b + b - 395 = 1524 votes

3b = 1524 + 395 - 140

3b = 1779

b = 1779/3

b = 593 votes.

Therefore, the second place candidate had 593 votes.

Now we can calculate how many votes, the other candidates had.

The second place candidate had 140 votes less than the winner

Votes for the winner( first place candidate)

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Since b = 593

a = 593 + 140

a = 733 votes

Votes for the last place candidate

Since, Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

b = 593

c = 593 - 395

c = 198

From the above calculation,

a = votes of first place (winner) candidate = 733

b = votes of second place candidate = 593

c = votes of third(last) place candidate = 198

In the above question, we were asked to calculate the percentage of all the votes cast were received by the winner.

This is calculated as

= Voted received by winner/ Total number of votes casted × 100

= 733/1524 × 100

= 48.09711286%

Approximately to the nearest percent = 48%

Therefore, the percentage of all the votes cast were received by the winner = 48%


Related Questions

Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend on fruit?

Answers

Answer:

60%

Step-by-step explanation:

[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]

Answer:

60 %

Step-by-step explanation:

To find the percentage spent on fruit, take the amount spent on fruit over the total amount

27/45

.6

Change to a percent by multiplying by 100

60%

(5in.)(8 in.)
--------------
2

Answers

Answer:

20

Step-by-step explanation:

(8 * 5) / 2

=> 40/2

=> 20

Um estudante fez algumas provas em seu curso e obteve as notas 13, 34, 45, 26, 19, 27, 50, 63, 81,76, 52, 86, 92 e 98 a sua nota média é:

Answers

Answer:

the mean is 54.428571428571<-------( what i think you are looking for )

the median is 51

the modes are 13, 19, 26, 27, 34, 45, 50, 52, 63, 76, 81, 86, 92, 98

Step-by-step explanation:

list all the numbers from greatest to least and the easiest way is to just cross them off left to right until you come up to one or two numbers. if one, that is your median. If two then add them up and divide them by two. We only had one, so the median is 51!

Hope this helped!

Answer:

53.14

Step-by-step explanation:

add all the numbers and divide it by 13

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Answers

Answer: (-1,3)

Step-by-step explanation:

HELP ME ASAP! BRAINLIEST UP FOR GRABS

Answers

Answer:

-5 ≤ x≤ 3

Step-by-step explanation:

The domain is the values for x

x starts and -5 and includes -5 since the circle is closed

and goes to 3 and  includes 3 since the circle is closed

-5 ≤ x≤ 3

Answer:

first option

Step-by-step explanation:

The domain are the values from the x- axis that can be input into the function.

The closed circles at the ends of the graph indicate that x can equal these values.

left side value of x = - 5 and right hand value of x = 3, thus

domain is - 5 ≤ x ≤ 3

Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020

Answers

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

Hey can anyone help me with this question?Identify the side or angle that is common to ∆ABC and ∆CDA.

Answers

Answer:

Answer D

Step-by-step explanation:

You can see that AC belongs to both triangles (ABC and CDA), you AC is the common side.

Please help I don't understand this at all ​

Answers

Answer:

Since ΔABC is equilateral, ∠ACB = 60°. Since ΔCED is isosceles (we know this because CE = ED from the graph), ∠ECD = ∠EDC from Base Angles Theorem, and since the sum of angles in a triangle is 180°, they measure (180 - 32) / 2 = 74° each. Since BCD is a straight line, it measures 180° so we can write:

60 + x + 74 = 180

134 + x = 180

x = 46°

Answer:

46 degrees

Step-by-step explanation:

Since triangle ABC is equilateral that means each angle in that triangle is 60 degrees.

We also know that for triangle ECD angle C and angle D have to be 74 degrees, because a triangle has 180 degrees in total and the only unique angle is at the top which is 32. So it is 180-32=148, than 148/2=74.

We than know that a half circle is 180 degrees aswell, so we do 180-60=120

120-74=46

Which of these shows the result of using the first equation to substitute for y
in the second equation, then combining like terms?
y = 2x
2x + 3y = 16
O A. 8x= 16
OB. 5x = 16
O C. 4x= 16
O D. 5y = 16

Answers

the answer is A
since 2x+3(2x)=16
Hence 8x=16

Answer:A

Step-by-step explanation:

BIG BRAIN

Please can someone help me

Answers

Answer:

a. 25%

b. 55%

c. 35%

Hope it helps you and pls mark as brainliest : )

a - b
b - d :
children is a little over half so 55% and the other half is 50/2 = 25 but the men is more

At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?

Answers

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

Evaluate 55 ÷ 11 + (13 x 3)

Answers

Step-by-step explanation:

55 ÷ 11 + (13 x 3)

5 + (13 x 3)

5 + 39

44

Answer:

44

Step-by-step explanation:

13 * 3 = 39

55/11 = 5

5 + 39 = 44

I hope I helped!  Please mark me brainliest!

Please Answer its timed The dimensions of a rectangle are represented by the functions shown. g(x)+3x-4 f(x)=2x-9 Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36

Answers

Answer:

[tex]\boxed{6x^2-35x+36}[/tex]

Step-by-step explanation:

The dimensions of the rectangle are represented by functions:

[tex]g(x)=3x-4 \\f(x)=2x-9[/tex]

The area is length × width of a rectangle.

[tex]length \times width[/tex]

[tex](3x-4)(2x-9)[/tex]

Expand brackets and solve.

[tex]6x^2-27x-8x+36[/tex]

[tex]6x^2-35x+36[/tex]

Answer:

6x squared - 35x + 36

Step-by-step explanation:

When you multiply the two functions together, this is what you get.

PLEASE HELP ME TO COMPLETE THIS QUESTION ​

Answers

Answer:

Step-by-step explanation:

a) Increase in population =510,000 - 430,000 = 80,000

Percentage increase = [tex]\frac{80,000}{430,000}*100[/tex]

                                   = [tex]\frac{800}{43}[/tex]

                                   = 18.6 %

b) Percentage increase = 17.3%

Increase in population = 17.3% * 510,000

                                     = 0.173 * 510,000

                                     = 88,230

Predicted population in 2021 = 510,000 + 88,230

                                                 =  598,230

Two tangents. find x. angle measures and segment lengths. Acellus. PLEASE HELP!!!

Answers

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

A city park contain garden paths ( about 10% ) a lake ( about 15% ) and tennis courts. If the park is 2.4 ha and the tennis courts occupy a rectangular plot 60cm by 50cm how many hectares are left for garden?

Answers

Answer:

As i understand it:

The total park is 2.4 ha

10% of that is paths and 15% of that is a lake.

So a 10% + 15% = 25% is taken.

So we have left a 75% of the park, this is:

Left = (75%/100%)2.4 ha = 0.75*2.4ha = 1.8 ha.

Now we also need to subtract the are of the tennis court.

The tennis court occupies a rectangular plot of 60m by 50m (you actually wrote cm here, but i guess it was a mistake, we can not have a tennis court of 60cm by 50cm)

So the area of the tennis court is:

A = 60m*50m = 3,000 m^2

But we want to write it in ha

We know that:

1ha = 10,000m^2

then 3,000m^2 = (3,000/10,000) ha = 0.3 ha

Then the left area is:

L = 1.8 ha - 0.3ha = 1.5 ha.

Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D

Answers

Q;- Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D

A;- Marx and Engels believed that the capitalist system should be destroyed.

Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?

Answers

Answer:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

             ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                            PEACE!

Write the expression in standard form. Then find the degree, leading coefficient, and constant of the polynomial.
(2x + 3) (3x – 5)
Degree:
Leading Coefficient:
Constant:

Answers

Answer:

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Step-by-step explanation:

(2x + 3) (3x – 5)=

6x²+9x-10x-15=

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

This a math question plz help asap with correct answer and explanation will give brainiest

Answers

Answer:

Hey there!

This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.

136/2=68, so each of the angles are  68 degrees.

Hope this helps :)

Answer:

C = 68

Step-by-step explanation:

Y = 22

Then A = 2y = 2*22 = 44

We know that A + B + C = 180

And B = C since the base angles of an isosceles triangle are the same

44 + C+C = 180

44+2C = 180

2C = 180-44

2C =136

C = 68

How many feet are in a yard? How many feet are in a mile? How many yards are in a mile? Please answer this. Thank you!

Answers

Answer:

352801760

Step-by-step explanation:

1 yard = 3 feet

1 mile = 5280 feet

1 mile = 1760 yards   ...    (5280 ft/mi)/(3 ft/yd) = 1760 yd/mi

HELP!

Andrea has a $25 gift card
to a art store. She buys four canvases that are each the same price. If she now has $2.20 on her gift card, what was the price of each canvas?

Answers

Answer:

$5.70

Step-by-step explanation:

1. 25.00 - 2.20 = $22.80

2. 22.80 divided by 4 = $5.70

Answer:

$5.70

Step-by-step explanation:

let the price for each canvas be $x

hence the price of 4 canvases will be $4x

It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.

Hence we can assemble an equation:

$4x + $2.20 = $25

4x + 2.2 = 25   (subtract 2.2 from both sides)

4x = 25 - 2.2

4x =22.8  (divide both sides by 4)

x = 22.8 / 4

x = 5.7

Hence each canvas cost $5.70

Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)

Answers

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

helllpp pleaseee.....​

Answers

Answer:

I hope its your required answer because 9.2 is smaller than 9.5.

i hope it works...

best of luck....

Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.

Answers

Answer:

A

Step-by-step explanation:

Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.

WILL MARK BRAINLIEST!!!!!!!! :))))))))))))))))

Answers

Answer:

(A) No solution

(B) One solution

(C) One solution

(D) One solution

(E) No solution

Please tell me if this is incorrect. I hope this helps!

I have never understood these. Help.

Answers

Answer:

5 sqrt(5)

Step-by-step explanation:

sqrt(125)

sqrt( 25*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(25) sqrt(5)

5 sqrt(5)

Answer:

5√(5)

Step-by-step explanation:

Notice that 125 is 25×5

If you couldn't do it use the prime factorization.

Prime numbers are 2,3,5.....

125 isn't divisible by 2 and 3 so we'll go with 5.

● 125 ÷ 5 = 25

Againg 25 is divisible by 5

● 25÷5 = 5

5 is divisible by 5

● 5÷5=1

So 125= 5×5×5 = 5^2 × 5

● √(125)= √(5^2×5) = 5√(5)

The width of a rectangle is 3 meters more than half of the length. the perimeter is 516 meters. What is the length and the width?

Answers

Answer:

Length = 8 meters

Width = 5 meters

Step-by-step explanation:

2*(3 + (1/4)L + L) = 26 meters

1/4L + L = 26/2 - 3

1/4L + 4/4L = 10

5/4L = 10

L = 10 * 4/5

L = 40/5 = 8 meters

W = 3 + 1/4 L

W = 3 + 1/4 *8

W = 3 + 2

W = 5 meters

Hey there! I'm happy to help!

Let's write this out as a system of equations. We will have W be the width and L be the length.

W=0.5L+3

2L+2W=516

Since we know that W is equal to 0.5L+3, we can swap the W in the second equation with 0.5L+3 so we can solve for L!

2L+2(0.5L+3)=516

We use the distributive property to undo the parentheses.

2L+L+6=516

We combine like terms.

3L+6=516

We subtract 6 from both sides.

3L=510

We divide both sides by 3.

L=170

Now, we know that the width is 3 meters more than half the length. So, we take 1/2 of 170, which is 85, and then we add three, giving us 88.

So, our length is 170 meters and the width is 88 meters.

Have a wonderful day!

Determine the nature of the roots 4x^2 + 13x + 6 = 0​ a.no real solutions b.cannot be determined c.a unique real solution d.two distinct real solutions

Answers

Answer:

D

Step-by-step explanation:

Try factoring the equation

Answer:

D Edge 2020-2021

Step-by-step explanation:

I got it right on the quiz

HELP PLEASE !!!!
A
B
C
D
E
???​

Answers

Answer:

A is the answer

Step-by-step explanation:

first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain

Answer:

A

Step-by-step explanation:

Factorize.

(3m(2m² + n²)/(mn(2m² + n²))

Cancel common factor.

3m/mn

Simplify.

3/n

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