Of the 50 students in the cafeteria, 7 have red hair. Suppose there are 750 students in the school. Write a proportion that could be used to predict the number of students who have red hair. Use x to represent the number of students who have red hair.

Answers

Answer 1

Given:

Of the 50 students in the cafeteria, 7 have red hair.

Total number of students = 750

To find:

The proportion that could be used to predict the number of students who have red hair.

Solution:

Let x represent the number of students who have red hair.

The ratio of student having red hair to the total number of students are

[tex]Ratio_1=\dfrac{7}{50}[/tex]

[tex]Ratio_2=\dfrac{x}{750}[/tex]

The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.

[tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex]

Multiply both sides by 750.

[tex]\dfrac{x}{750}\times 750=\dfrac{7}{50}\times 750[/tex]

[tex]x=7\times 15[/tex]

[tex]x=105[/tex]

Therefore, the required equation is [tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex] and the number of students who have red hair is 105.


Related Questions

I’ll give the Brainliest to who answers these questions first.

Brock has $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and $169 for a loan payment. Find the amount remaining in his account. Explain.


Linda’s pay check was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on transportation, and $290 on other things. She put the rest of her pay check in savings. How much did she put in savings? Explain.

Answers

Answer:

the amount remaining in brocks checking account is $2290. 3084 - 350 - 275 - 169 = 2290

Linda has $831 in her savings. 2312 - 157 - 322 - 478 - 234 - 290 = 831

Answer:

the amount remaining in Brocks account is 2,290

the amount remaining in Linda's is 353

Step-by-step explanation:

i found the amount by Subtracting

what is the next number on the sequence 6,13,20,27?​

Answers

Answer:

34

Step-by-step explanation: goes up in 7's

HELPPP



simplify the product (-8) (-6) (2)



I BEG HELP ME

Answers

-8*-6*2
Multiply left to right
48*2
=96

Answer:

96

Step-by-step explanation:

Given

- 8 × - 6 × 2 ( the product of 2 negatives is a positive )

= 48 × 2

= 96

Graph the line with slope of 4/3
and goes through the point (1,3)

ANSWER THIS FAST!

Answers

Answer:

Step-by-step explanation:

y=4/3 x +b

goes through the point (1,3)

3=4/3(1)+b

b=3-4/3

b=9-4/3

b=5/3

equation : y=4/3 x +5/3

The graph of the line with slope of 4/3 and goes through the point (1,3) is shown in attached figure.

What is Equation of line?

The equation of line with slope m and passes through the point (x₁, y₁) is given as;

y - y₁ = m (x - x₁)

Given that;

The slope of line = 4/3

And, Point on line = (1, 3)

Since, The equation of line with slope m and passes through the point (x₁, y₁) is given as;

y - y₁ = m (x - x₁)

Thus, The equation of line with slope 4/3 and passes through the point (1, 3) is given as;

y - 3 = 4/3 (x - 1)

Solve as;

3 (y - 3) = 4 (x - 1)

3y - 9 = 4x - 4

3y = 4x - 4 + 9

3y = 4x + 5

y = 4/3x + 5/3

Thus, The equation of line will be;

y = 4/3x + 5/3

So, The graph of the line y = 4/3x + 5/3 is shown in attached figure.

Learn more about the equation of line visit:

https://brainly.com/question/13763238

#SPJ2

The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be represented by (x+4) and its width can be represented by (2x - 7). What equation would you use to solve for x? *

Answers

Answer:

2(x+4) + 2(2x-7) = 42 ( If this is wrong simplify this)

Step-by-step explanation:

The formula for perimeter is (2 x length) + (2 x width), so our equation would be 2(x+4) + 2(2x-7) = 42

I think the answer would be 42:)

Which expression is equal to (x/2) (x+2/3)

Answers

Answer:

If is in that form (the blue part ) ,then the answer is that one

Car A travels 127 miles in 4 hours. Car B travels 350 miles in 4 hours. Car C travels 583 miles in 14 hours. Which car has the fastest average speed?

Answers

B but look at the image to understand y

Answer:

B is the answer

Match the graph with its equation

Answers

Where’s the graph. Their isn’t one
You’re missing the picture:(

The width of a rectangle is three more than twice its length

Answers

yes it is! great job on coming up with that conclusion!

Answer:you have to add find the side length add 3 and double it and that’s the width. I don’t have measurements so I can’t fully help you.

Step-by-step explanation:

YESS

Write y = 4x + 2 in Standard form.

Answers

Answer:

4x-2=y

Step-by-step explanation:

The answer to your question would be: -4x+y=2

If an object is projected upward from ground level with an initial velocity of 48ft per​ sec, then its height in feet after t seconds is given by ​s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum​ height? The object will take __ ​second(s) to reach its maximum height. (Simplify your​ answer.) The maximum height reached by the object is __ feet. (Simplify your​ answer.)

Answers

Answer:

t = 1.5 s and s(t) = 36 feet

Step-by-step explanation:

The height reached by an object as a function of time t is given by :

[tex]s(t)= -16t^2+48t[/tex] ...(1)

t is in seconds

To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]

It will take 1.5 seconds to reach its maximum height.

Put t = 1.5 s in equation (1), such that,

[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]

The maximum height reached by the object is 36 feet.

4x+14=6x+8

Solve please

Answers

Answer:

x=3

Step-by-step explanation:

Answer: x= 4

Solution:
4 multiplied by 4 equals 16.
16+ 14 = 40

6 multiplied by 4 equals 32
32+8 = 40

4 equals to x.

An 8-question true or false quiz is given to a class. If Lee guessed every question,
how many would she expect to be correct?

Answers

Answer:  4

Work Shown:

n = number of questions = 8

p = probability of getting a question correct = 1/2 = 0.5

n*p = number of questions we expect Lee to get correct

n*p = 8*0.5

n*p = 4

We expect Lee gets about 4 questions correct.

4 question that lee guessed would be correct.

There  8 question of true and false.
Lee guessed every question.

What is probability?

Probability can be defined as ratio of favorable outcomes to the sample of events.

Here,
Probability of guessing right answer = 1/2 = 0.5
Probability of lee guessing right answer out of 8 question.
= 0.5 x 8
= 4

Thus, 4 question that lee guessed would be correct.


Learn more about probability here:
https://brainly.com/question/11234923

#SPJ2

The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?

Answers

Answer:

a = 14.19 feet

Step-by-step explanation:

Given that,

The area of a square shaped yard is 201.5 ft²

We need to find the side length of this yard in feet.

The area of a square shaped object is given by :

A = a², a is the side length of the object

Put A = 201.5 ft² in above formula,

[tex]201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}[/tex]

So, the side of the square yard is 14.19 feet.

This question is hard and I don’t know it may u please help

Answers

Answer:

Mark's total salary is 22,260

Step-by-step explanation:

well, his base salary is 21,000.

if you look at the diagram, the added bonus is 6% of the base salary.

6% can be rewritten as 0.06

0.06 * 21,000 = 1,260

the total salary is just the base salary and the bonus salary added together.

21,000 + 1,260 = 22,260

Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long. What is the width in inches

Answers

Answer:

Sorry you will have to clarify more on the width I do not under stand :/

Step-by-step explanation:

Answer: A=14

Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14

the percentage of boys in a school is 60%, and the number of girls are 200, calculate the number of boys and the total number of students?


Answers

Answer:

Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100

Step-by-step explanation:

So basically:

1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.

2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.

3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.

I hope this helps:)

500
100% - 60% is 200 people
So 40% is 200 people
20% is 100 people and so 100% (full amount) would be 100 x 5 (how do you get from 20 to 100, you multiple by 5 so you do the same to the 100).
Gives you a total of 500

Yall can you answer this.

Answers

D. I’m pretty sure!!!!!!!

5a+8+(-2a)=-7
I need help with this question especially because of the parenthesis

Answers

Answer:

5a+8+(-2a)=-7

5a+8-2a=-7

5a-2a=-7-8

3a=-15

3a/3=-15/3

a=-5

Answer:

a = -5

Step-by-step explanation:

Simplify both sides:

5a + 8 + (-2a) = -7

(5a + -2a) + 8 = -7

3a + 8 = -7

Start solving for a by subtracting 8 from both sides

3a+8-8 = -7 - 8

3a = -15

Next, divide both sides by 3

3a/3 = 1

-15/3 = -5

a = -5

(-9.5) to the power of 0

Answers

Whenever it’s to the power of 0 the answer is 1 but idk if it’s negative use photomath

HELPPP ASAP!

Find the slope between the two points.
(3,7) (2,9)
m= 2
m= -2
m= 0
m = 1

Answers

The slope would equal 2. M=2

Which relation is a function?

Answers

Answer:

D

Step-by-step explanation:

To find out whether a graph is a function or not, you can use the vertical line test, which means if you were to draw a vertical line on the graph at any point,  if it would cross over 2 lines, it's not a function. D is the only graph that wouldn't fail the vertical line test.

Your rating: 5.0 - Excellent!

Answers

Answer:

0.48

Step-by-step explanation:

Multiply 0.6 and 0.8 to get 0.48.

0.48

Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$. If line $2$ represents the graph of $y=mx +b$, then find $m+b$.

Answers

Answer:

15

Step-by-step explanation:

First, solve for Line 1

3x + 4y = -14

move the x to the right of the equation

4y = -3x - 14

divide the whole equation by 4

y = -3/4x - 14/4

Line 1 is y = -3/4x - 7/2

Then, solve for Line 2

Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.

-3/4 to 3/4 to 4/3

4/3 is the slope of Line 2.

Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.

y = mx + b

plug in the y, m, and x into the equation

7 = (4/3)(-5) + b

multiply the m and x together

7 = -20/3 + b

add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation

41/3 = b

So, m = 4/3 and b = 41/3

Add them together and you get 45/3 or 15.

I hope this helped!

PLEASE HELP !!

Which graph shows a constant of proportionality of 2?

Answers

Answer:

Im pretty sure its C

Step-by-step explanation:

Hope you get it right! :)

The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C

Constant of proportionality

The constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.

The formula for calculating slope of a line is expressed as:

Slope = y2-y1/x2-x1

Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:

Slope = 2-6/1-3
Slope = -4/-2
Slope = 2

Hence the graph shows a constant of proportionality of 2 is the Graph C

Learn more on slope here: https://brainly.com/question/1884491

#SPJ2

What is 7/9 divided by 1/3???????

Answers

Answer:

0.259...

Step-by-step explanation:

Using the distributive property, an expression equivalent to 34 + 16 is
A.2(17+ 8)
B.17(2+8)
C. 34+ (4) (4)
D. (2)(17) + (4) (4)​

Answers

Answer:

A. 2(17+8)

Step-by-step explanation:

distribute and you get 2x17=34 and 2x8=16

If f(x)=5x+2 and g(x)=x-1 what is f(g(4))

Answers

So g(x) would be 3 because you plug in 4 for x and it would become 4-1 and then you plug in 3 for x in 5x+2 so it would be 5(3)+2 which would equal 17

Five less than three times a number is 1. Find the number

Answers

Answer:

n = 2

Step-by-step explanation:

Step 1: Write equation

"Five less" = subtract 5

"three times a number" = 3 × n, or 3n

"is 1" means = 1

3n - 5 = 1

Step 2: Solve for n

Add 5 to both sides: 3n = 6Divide both sides by 3: n = 2

Does anyone know the answer to this??

Answers

Answer:i know something about it:

the AEB thingy is the angle that has the 5x- 10 thing. if you know what the 5x thing means, then you subtract the 5x mystery number from 10. and if you see the points A,E, and B, those are the angle points.

Step-by-step explanation:

i'm sorry that i didn't know about all the things, but i hope you know what the 5x thing is.

Other Questions
Darryl, a cash basis taxpayer, gave 1,000 shares of Copper Company common stock to his daughter on September 29, 2011. Copper Company is a publicly held company that has declared a $1.00 per share dividend on September 30 every year for the last 20 years. Just as Darryl had expected, Copper Company declared a $1.00 per share dividend on September 30th, payable on October 15th, to stockholders of record as of October 10. The daughter received the $1,000 dividend on October 18, 2011. How does this information impact who must recognize the dividend as income?a. Darryl must recognize the $1,000 dividend as his income because he knew the dividend would be paid.b. Darryl must recognize $750 of the dividend because he owned the stock for three fourths of the year.c. Darryl must recognize the income of $1,000 because he constructively received the $1,000.d. The daughter must recognize the income because she owned the stock when the dividend was declared and she received the $1,000.e. None of the above Look at the graph. A bookstore owner increases the price of art books to $25. Which of these would occur? A higher equilibrium point, because demand and price increased A lower equilibrium point, because the supply will increase A shortage, because the price is lower than equilibrium price A surplus, because the price is higher than equilibrium price My DiaryI learned that modal adverbs are (1)______.They are used to(2)______.The words possibly, certainly (3)______,(4)______,(5)______,(6)______,and(7)______are some examples of modal adverbs.They may mean similar to modal verbs ang modal nouns because(8)___________________________However, they are differentto modal verbs and modal nounsbecause(9)_______________.All the three modal expressions are (10)_____________________ NEED HELP ASAP I HAVE 5 mins left (3x 2)*7* _ x 12 x 7) What was one major consequence of early labor union actions in Victorian England? what type of things can be marketed The perimeter of a rectangle is 36 m. If the length is three times the width, what is the length? will give brainlest excerpt from Bird ThoughtsTraditionalBy: TraditionalI lived first in a little house, And lived there very well; I thought the world was small and round, And made of pale blue shell. I lived next in a little nest, Nor needed any other; I thought the world was made of straw, And brooded by my mother. One day I fluttered from the nest To see what I could find. I said, The world is made of leaves; I have been very blind. At length I flew beyond the tree, Quite fit for grown-up labours.I dont know how the world is made, And neither do my neighbours!What is the main image in the first stanza?A) an unborn chick nestled inside an egg B) a baby bird living happily in a straw nest C) a curious bird checking out the leaves of a tree D) a bird trying out new wings and seeing the world for the first time If a test measures what it is designed to measure, then it has this. Reliability Cause and Effect Bias Validity This is a real question. Do you know how you say, ma'am and sir? what do you call non-binary people when you're used to saying, ma'am or sir? How does this excerpt relate to the plot of the The Inheritors? It creates a shift in the mood, which was initially lighthearted, to one that is somber and tense. It characterizes Emil, who is the first to mention the act, as one who exaggerates and worries unnecessarily. It establishes the setting by referring to acts of espionage that were only committed during certain periods in history. It strengthens the conflict by revealing the severity of the punishments that one convicted of spying will face. Making Generalizations Machiavelli advises those in power that fear preserves you by a dread of punishment which never fails. What point is he trying to make? Do you think modern democratic leaders follow Machiavellis advice? If you do, describe one. If not, explain why such a philosophy cannot work in a true democracy. which of these are the largest.a exabyte,,terabyte,,gigabyte or kilobyte Sadie Equestrian Services established a petty cash fund in the amount of $500 on June 1, 2013. On June 30, a review of the petty cash vouchers showed disbursements for the following: Stamps $60 Cab Fare for Ms. Sadie to attend meeting downtown $28 Dinner for employees working overtime $185 Messenger Costs for delivering legal documents $54 Advance to salesperson for attending networking event $25 Purchase of emergency office supplies $69. The Petty cash fund had a remaining cash balance of $77. The proprietor, Ms. Sadie also decided to increase the size of the Petty Cash fund to $700. Journalize the following: a) Transaction to establish Petty Cash Fund b) Transaction to replenish Petty Cash Fund on June 30 c) Transaction to increase the size of the Petty Cash Fund Pweasee help me outt!! :(( I'm horrible at english:( can some some one at least answer one or two of these Find the value of x (6x+7) (8x-17) Describe how much land men could receiv under the Coahuila y Texas state colonization laws of 1824.ANSWER HONESTLEY PLEASE!!!!!!!!! Find the value of x.5579110x