2. Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were for red.


a. How many votes were for blue?



b. How many votes were for green?

Answers

Answer 1

Answer:

a. 180 votes were for blue

b. 60 votes were for green

Step-by-step explanation:

Fractions

It's known 5/8 of the votes of a school-wide election were for painting the school blue. Suppose there were x voters in school.

Since 5/8 were for blue, then

[tex]1-\frac{5}{8}=\frac{3}{8}[/tex]

Were for the rest of the colors. It's also known 5/9 of the remaining votes were for green, thus

[tex]1-\frac{5}{9}=\frac{4}{9}[/tex]

of the remaining votes were for red.

The votes for red are:

[tex]\frac{3}{8}\cdot\frac{4}{9}=\frac{1}{6}[/tex]

of the total voters.

We know these were 48 votes, thus

[tex]\displaystyle x=\frac{48}{\frac{1}{6}}[/tex]

[tex]x = 288[/tex]

There were 288 voters in school.

a. 5/8 were for blue, that is:

[tex]\frac{5}{8}*288=180[/tex]

180 votes were for blue

b. 288-180 = 108 votes were for others than blue, and 5/9 of them were for green:

[tex]\frac{5}{9}*108=60[/tex]

60 votes were for green and 108-60=48 votes were for red (as expected)


Related Questions

Mattie Evans drove 200 miles in the same amount of time that it took a turbo propeller plane to travel 800 miles. The speed of the plane was 150 mph faster than the speed of the car. Find the speed of the plane.

Answers

Answer:

200mph

Step-by-step explanation:

Speed is expressed using the expression

Speed = Distance/Time

For Mattie

Distance = 200miles

Speed = x

Time taken by mattie = Distance/speed

Time taken by mattie = 200/x ... 1

For the propeller plane:

Distance = 800miles

Speed = x+150 (The speed of the plane was 150 mph faster than the speed of the car)

time taken by the plane = 800/x+150

Since Mattie took the same amount of time that it took a turbo propeller plane to travel, then we will equate both expressions as shown:

200/x = 800/150+x

Cross multiply

800x = 200(150+x)

800x = 30,000 + 200x

800x-200x = 30,000

600x = 30,000

x = 30,000/600

x = 50

Get the speed of the plane

Since the speed of the plane is 150+x

Speed of the plane = 150+50

Speed of the plane = 200mph

You have 7/5 gallons of juice and want to fill cups that hold 1/10 of a gallon. How many cups can you fill?

Answers

Answer:

14 cups

Step-by-step explanation:

Amount of juice had = 7/5 gallons

Cup to fill = 1/10 gallons

We can therefore write;

1cup = 1/10 gallons

x cups =7/5 gallons

ross multiply

1/10 x = 7/5

x/10 = 7/5

70 = 5x

x = 70/5

x = 14

Hence 14 cups cam be filled

pls help due in 2 mins

Answers

Answer:

Good luck

Step-by-step explanation:

Answer:

272 is the correct answer

Step-by-step explanation:

I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!

Hope this Helps! :)

20 POINT!!!!!!!11PLEASE HELP!!!!!

A sphere is a three-dimensional geometric figure, hollow or solid, contained by a continuously round surface that is equidistant from its center. The maximum capacity of a sphere is calculated with the formula, where V = volume, and r = radius. For a sphere with a maximum capacity of 1,372pi/3 cubic millimeters, the diameter measures millimeters.

Answers

Answer:

14 millimeters

Step-by-step explanation:

V=(4/3)πr³

1372π(1/3)=(4/3)πr³

1372=4r³        (cancel out the pi and multiply both sides by 3)

r³=343

r=7

Diameter is twice the radius = 2(7) = 14

What the person above me said

What is the slope of the line whose equation is y=3/5x-4

Answers

Slope-intercept form:

y = mx + b

Your equation in slope-intercept form (which you already have :)):

y = 3/5x - 4

So your slope is m = 3/5

Do you need help finding the y-intercept or x-intercept? I hope this helps and answers your question! Have a lovely day!

Trigeomentry need help asp about to fail

Answers

Let me do ur work for you and I’ll make u get a A+


Winter coats are marked 70% off on February 1st. If a coat originally costs $57.70, how much will it cost on sale?

Answers

Answer:

40.39

Step-by-step explanation:

70% of 57.70

70x57.7/100 =4039/100 = 40.39

The coat will cost 40.39 on sale

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Answers

Answer:

Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Step-by-step explanation:

Both Shawn and Brielle are correct, because the absolute value has the following property:

[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.

Answer:

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Step-by-step explanation:

Sample Answer on Edge

Anyone know how to solve for x and y on this problem?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}[/tex]

Step-by-step explanation:

In the Question , its given that ∆ART [tex]\cong[/tex] ∆ DFI . And we need to find the values of x and y . So we know that ,

If two triangles are congruent then their Corresponding angles and sides are equal.

Hence here in ∆ ART & ∆ DFI :-

AT = DI ( cpctc)AR = DF ( cpctc)

[tex]\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}[/tex]

Hence the value of x is 6 .

[tex]\rule{200}2[/tex]

[tex]\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}[/tex]

Hence the value of x is 6 and y is (-21) .

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!

Answers

Answer:

I think it is B (SSS congruence)

Step-by-step explanation:

you are only given the sides of the triangles not any of the angles

Answer:

D

Step-by-step explanation:

This I am pretty sure on.

The only side you can 100% say is similar is DE. since it is the same line.

The angles GDE and FDE are the same since there is a line divivding it in half.

All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.

Write the phrase as an Expression

The product of 6 and a number lll

Answers

Answer:

DURING PUBERTY

its ture

Which operation can be used to solve for x? -3.2x = -4.8​

Answers

Answer:

-3.2x=-4.8 ÷(-3.2)

x=1.5

Step-by-step explanation:

prove me wrong

Round 0.381 to the nearest hundredth.
0.3
0.38
0.4
0.39

Answers

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

You are your friend are playing a game where you flip a coin and roll a fair four-sided die.

Answers

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

how do you math please help me

Answers

Math is math math gives more math math is math math is more math more math is tons of math tons of math is big brain math knowledge big brain math knowledge means your math

wich structure ate found in plant cells but not in animal cells multiple choice​

Answers

Answer:

Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.

6. You want to go to the movies. A ticket for a movie
cost $10.90. There is a student discount for 20% off
with a student ID. The tax rate charged is 5.75%.
What is the sale price of your ticket? Explain how you
arrived at your answer.

Answers

Answer:

The sale price of your ticket would be $9.22

Step-by-step explanation:

First you subtract 20% off from $10.90

Which is $8.72 , then you add 5.75%

so $8.72 + 5.75% = $9.22

Hope this helps have a nice evening please give me brainliest

please help what would the 5 be in gallons

Answers

Answer:

13.6 gallons

Step-by-step explanation:

y = 2.72x

this means that 2.72 is multiplied by x

y = 2.72 * x

x = number of gallons

5 = number of gallons

5 = x

y = 2.72 * 5

y = 13.6 gallons

help pls brainlest to first make sure it's correct Hank you ​

Answers

Answer:

It’s 32

Step-by-step explanation:

Is it a function or not a function? Please help me??

Answers

Answer:

No

Step-by-step explanation:

What is 40/9 as a mixed number

Answers

Answer:

4 4/9

Step-by-step explanation:

40÷9=4r4

Therefore:

409=449

Answer:

4  4/9

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Hope this helps :)

Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily's tea?

a $108.70
b. $144.93
с. $536.77
d. $715.69

Answers

Answer:

it is B. 144.93 on edge my friends

Step-by-step explanation:

cause i know so

the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11

Answers

Answer:

21 because I serch it up I believe

PLZ HELP ME. 3 questions be my angel.

Answers

53% for the first oneeee

Answer:

82

Step-by-step explanation:

eat good

There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?

Answers

There should be 675 boys
i think the answer is 675:)

Express in the form 1:n
Give n as a fully simplified fraction.

12:2

Answers

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

Alex says, if I split a shape into four parts,I have split it into quarters

Answers

The four parts need to be equal, only then the shape will be said to have splitted in quarters.

The value of coin a is triple the value of coin b.together the total value of thebtwo coins is $48.00. What is the value of each coin

Answers

If A is 1/3 of B then A = 1/4 the sum of A and B. 1/4 times 48 = 12

Coin A = $12
Coin B = $48 - $12 = $36
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