There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys?

Answers

Answer 1

Final answer:

To find the number of boys, we can use the proportion 3/8 = x/160. Solving the equation, we find that the number of boys is 60.

Explanation:

To find the number of boys, we can use the proportion:

3/8 = x/160

We know that the ratio of boys to girls is 3 to 5, which is equivalent to 3/8. Cross-multiplying the proportion, we get x = (3/8) * 160. Solving the equation, we find that the number of boys is 60.

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Related Questions

what is the formula for this?

Answers

Hey there!

To find the area of a parallelogram, you multiply the length and the width together, the exact same method you would use to find the area of a rectangle or square.

The reason you would use the same area formula of a rectangle/square to find the area of a parallelogram would be that all rectangles are parallelograms (however, not all parallelograms are rectangles).
**Rectangles are a special kind of parallelogram: they are parallelograms with right angles formed in the corners of the figure.

Another thing to keep in mind is to imagine this: if you were to split the parallelogram from the top left corner straight down, you will get a triangular figure. If you were to move this triangular figure to fill in the right slanted part of the parallelogram, you would have a rectangle.

Now, to solve for the area. Because the formula is A=Base (or the length)*Height (or the width), you should have this expression:
A=20*27

This would simplify to 540 cm squared, which would be your answer.

Hope this helps and have a wonderful day! :)

What are three rational numbers between 0.2 and 0.3 (one must be a fraction)?

Answers

it would be 2/5 but the numbers between is 2/10 and 3/10

The answer will be 0.6 Hopes this helps. :)

Seventy concert tickets were sold for $550. Each adult ticket cost $9 and each children's ticket cost $5. Find the number of adult tickets and the number of children's tickets sold.

Answers

Total tickets = 70
Total cost = $550

Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4

Assume all 70 are child's tickets
5 x 70 = 350

But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.

200 ÷ 4 = 50
So there are 50 adult's tickets.

70 - 50 = 20
And there are 20 child's tickets.

There were 50 adult tickets and 20 children's tickets sold.

To determine the number of adult and children's concert tickets sold, we use a system of equations: x + y = 70 (total tickets) and 9x + 5y = 550 (total revenue). Solving these, we find 50 adult tickets and 20 children's tickets were sold.

To find the number of adult and children's concert tickets sold, given the total revenue and the price of each ticket, we can set up a system of linear equations. Let's define x as the number of adult tickets and y as the number of children's tickets. We are given that:

The total number of tickets sold is 70: x + y = 70The total revenue from the tickets sold is $550: 9x + 5y = 550

Now we have the following linear equations:

x + y = 709x + 5y = 550

We can solve this system using either the substitution or elimination method. For simplicity, we'll use the elimination method.

Multiply the first equation by 5 to match the coefficient of y in the second equation:

5x + 5y = 350

Now subtract the new equation from the second equation given:

(9x + 5y) - (5x + 5y) = 550 - 3504x = 200x = 50

Using the value of x in the first equation, we find y:

50 + y = 70y = 20

Therefore, there were 50 adult tickets and 20 children's tickets sold.

Gerry folded 3/8 of the pile of shirts. Molly folded 1/8 of the pile of shirts. Together did they fold more than half the shirts? Explain your answer.

Answers

Hello!

Gerry folded 3/8 of the pile of shirts and Molly folded 1/8 of the pile of shirts, so in total they folded 4/8 of the pile of shirts.

A N S W E R:

4 is half of 8, but it is not more than half of 8, so, together, Gerry and Molly did NOT fold more than half the shirts.

graph the line whose x-intercept is -8 and whose y-intercept is 9

Answers

In intercept form, the equation of the line is
.. x/-8 +y/9 = 1

The graph of the line whose y intercept is 8 and whose x intercept is 9 is given below.

What are intercepts?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Given:

An intercept form of the standard line is,

x/a + y/b = 1, where a and b are x-intercept and y-intercept form of the line.

So, the equation is,

x/-8 + y/9 = 1

And the graph is given in the attached image.

Therefore, the graph is given.

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Pepper’s dog pen measures 4 meters wide and has an area of 20 square meters. What is the perimeter of the pen in meters?

Answers

18. 4 x 5 = 20(area) so the other 2 sides that are not 4 are 5. 5+5+4+4=18

Which expressions are polynomials? Select each correct answer.
20x2y

20x²

20x² + y

20x2+y12

Answers

Each of these is a polynomial.

A polynomial is the sum or difference of one or more monomials. A monomial is a variable, a constant, or the product of variables and constants. Each of these is a monomial, so it is a polynomial as well.

These expressions satisfy the criteria for being polynomials based on their structure and components.

[tex]$ 20x^2y $[/tex]

[tex]$ 20x^2 $[/tex]

[tex]$ 20x^2 + y $[/tex]

Let's analyze each expression:

1. [tex]20x^2y[/tex]

This expression can be rewritten as [tex]$ 20x^2y $.[/tex]

It consists of variables [tex]$ x $[/tex] and [tex]$ y $[/tex], coefficients ([tex]20[/tex]), and exponents ([tex]2[/tex] on [tex]$ x $)[/tex]

It involves multiplication and addition (implied by the terms).

Conclusion: This expression is a polynomial.

2. [tex]20x^2[/tex]

This expression can be rewritten as [tex]$ 20x^2 $[/tex].

It consists of variable [tex]$ x $[/tex], coefficient ([tex]20[/tex]), and exponent ([tex]2[/tex]).

It involves multiplication and addition (implied by the term).

Conclusion: This expression is a polynomial.

3. [tex]20x^2+ y[/tex]

This expression consists of two terms: [tex]$ 20x^2 $[/tex] and [tex]$ y $[/tex]

[tex]$ 20x^2 $[/tex] is a polynomial (as identified above).

[tex]$ y $[/tex] is also a polynomial (since it can be seen as [tex]$ 1y^1 $[/tex], where the coefficient is [tex]1[/tex] and the exponent is [tex]1[/tex]).

The expression involves addition and multiplication.

Conclusion: This expression is a polynomial.

4. [tex]20x^2+y^{12[/tex]

This expression is not standard notation and appears to be incorrectly formatted:

It lacks clear separation between terms.

It combines numeric digits directly without appropriate variables and exponents.

Conclusion: This expression is not a polynomial.

What is the arc length of arc CD in the circle below? Circle A is shown with a radius labeled 8 feet and a central angle marked 35 degrees. 3.14 feet 4.88 feet 6.98 feet 11.78 feet

Answers

the complete question in the attached figure

we know that

the length of the circumference (L)=2*pi*r
r=8 ft
so
L=2*pi*8=16*pi ft
the length of arc CD is 35°-------->let's transform the degrees to feet
we apply a rule of three
if 360° -----------------> 16*pi
35°---------------X
X=35*16*pi/360--------> 4.88 ft

the answer is 4.88 ft

it's the fine letter B

jerry was playing a video game. it took him 10 lives to beat the 2nd world, 5 times as many as it took him to beat the 1st world. how many lives did he use to the 1st world?

Answers

2nd world = 10 lives
lst world = 5 x 10 = 50 lives

Final answer:

Jerry used 2 lives to beat the 1st world, determined by dividing the 10 lives used for the 2nd world by 5.

Explanation:

Jerry used 10 lives to beat the 2nd world and it took him 5 times as many lives as it did to beat the 1st world. To find out how many lives it took him to beat the 1st world, we need to divide the number of lives used for the 2nd world by 5.

Let x represent the number of lives Jerry used to beat the 1st world. The equation based on the given information is:

5 * x = 10

Now, we solve for x:

x = 10 / 5

x = 2 lives

Therefore, Jerry used 2 lives to beat the 1st world.

y-2y8y-6 is equivalent to:

Answers

the answer should be 1

How do I graph this ?

Answers

You you put the x section in the x axis and the y section in the y axis. So the straight line going across is the x axis and the line going up and down is the y axis. So for your first and (-5,2) you look for negative 5 on the x axis and 2 on the y axis since the x axis will always go first. Then you would put the dot where the numbers line meet. There’s your answer

Here you go! Hope this helps!!

A farmer has 112 pecan tree and 97 walnij tree. How many more pecan Teresa does the farmer have than walnij tree? Desrcibe what you would do
I would regroup the tens
I would add 12 + 97
I would subtract 7 ones from 12 ones
Which answer is correct?

Answers

I would subtract 112 from 97 which is 15.

12+97=108 12-6=5 that my correct answer

pose a word problem that will match the solution

Answers

5 people wanted to use flour for cooking. Altogether, they had 4kg of flour. They wanted to split the four into 5 equal amounts. How many kg of flour did each person get?

Hope this helps!

if you pay $8.50 per square yard of carpeting,what is your total cost for 27.5 square yards?

Answers

your total cost is 233.75 because you do 8.50 times 27.5

I think the answer is $233.75

Give an example of a set of data displayed in a line graph

Answers

Answer:

data displayed in a line graph represents change over time

Step-by-step explanation:

and example could be effects of different soil on the same kind of plant over a week

The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces. Which value could replace x in the table?

Answers

Solving the system of linear equations, we found that there are 12 hardcover books and 33 paperback books, making the value that could replace 'x' is 12.

The question involves solving a system of linear equations to find the number of hardcover and paperback versions of a book that together weigh 249 ounces. Since the hardcover version weighs 7 ounces and the paperback weighs 5 ounces, we can create two equations based on the given information. If we let x represent the number of hardcover books and y represent the number of paperback books, the equations would be:

x + y = 45 (since there are 45 copies in total)

7x + 5y = 249 (since the total weight is 249 ounces)

Solving this system, we can multiply the first equation by 5, which gives us 5x + 5y = 225, and subtract this from the second equation to find the value of x. This yields 2x = 24, so x = 12. Therefore, there are 12 hardcover books and the rest are paperbacks. To find the number of paperbacks, we substitute x back into the first equation and get 12 + y = 45, which means y = 33. Hence, the number that could replace x in the table is 12.

Can someone help me!! I’m trying to find equivalent measures! 15!points if you can help!

Answers

1000 mL = 1 L

0.85 L = (0.85 L)*(1000 mL/1 L) = (0.85*1000) mL = 850 mL

So, 0.85 liters is equivalent to 850 milliliters

which relation is a function?

Answers

The last one is a function.

A function needs to have continuous data, meaning that all of the points need to be connnected, and it also needs to have no more than 2 x values with each y value.

Hope this helps!

The absolute ______ of 2 is 2.
1.) absolute value
2.)sign
3.)opposite

Answers

The absolute value of 2 is 2

1.) Absolute value

Hope this helps

What is the rule to represent the number of tiles in figure x?

Answers

figure 1 has 8 tiles
figure 2 has 14 tiles
figure 3 has 22 tiles

I'm guessing the 2 on the side hints for us to do something+2
the inside parts are
figure 1: 6
figure 2: 12
figure 3: 20

hmm, the width is 1+number figure
height is 2+figure number

so therefor, figure x is (1+x)(2+x)+2

so the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles

a. the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles
b. it is quadratic because it has [tex]x^2[/tex] in it

HEEEEEEELPPPP PLSSSSSSSSSSSS

A circle has a radius of 13 inches.

Which equation can be used to find the diameter of this circle?

d=2π(13)
d=12(13)
d=2(13)
d=132

Answers

Diameter equals 2 times radius.

ANSWER: d= 2(13)

Hope this helps! :)

Answer:

d=2(13)

Step-by-step explanation:

If a + 4b = 33 and 6a + 3b = 51, what is the value of a + b?

(I got 5 but it was wrong)

Answers

b = 7, a = 5. So a + b is 13.

Answer:

Step-by-step explanation:

Since the problem asks for $a+b$, we look for a way to isolate $a+b$ from the given equations.

Notice that $a + 6a = 7a$ and $4b + 3b = 7b$. This gives us the key to isolating $a + b$. We simply add the two equations together:\begin{align*}

7a + 7b &= 84 \\

7(a + b) &= 84 \\

a + b &= \frac{84}{7} \\

a + b &= \boxed{12}

\end{align*}

Can someone help me with this?

Answers

You know the definitions of the trig functions tell you
.. cos(78°) = (5 ft)/?
.. ? = (5 ft)/cos(78°) ≈ 24.0 ft

Can you tell me how to do this?

Answers

Add up the Like terms, then just do the math. Comment for Any questions

So 5.2x + 2.1x=
8-3=
Then rewrite the equation

Sally surveyed 20 of her friends to determine their favorite color. Her data shows that 25% said blue, 15% said green, 10% said yellow, and the rest said red.

Which circle graph best represents Sally's data?

Answers

The first circle graph because yellow, blue, and green adds up to 50%, which means red takes up 50% (half of the graph)

Answer:

The circle graph that represents Sally's data in the attahed figure

Step-by-step explanation:

we know that

The color blue represent [tex]25\%[/tex]------> Is a quarter of circle

The color yellow plus the color green represent [tex]10\%+15\%=25\%[/tex] -----> Is a quarter of circle

The color red represent [tex]100\%-50\%=50\%[/tex]------> Is a half circle

therefore

The answer in the attached figure

Michael’s grandmother made two pies for Thanksgiving, a sweet potato pie and a chocolate pie. Each pie had 8 slices. All of the sweet potato pie and 2 slices of the chocolate pie were eaten. How much pie did Michael’s family eat on Thanksgiving? A) 5 8 pie B) 10 16 pie C) 1 1 4 pies Eliminate D) 1 3 8 pies

Answers

Think it's B or A if they want it simplified.

George has to pay $30 in taxes for every $100 that he earns .Last summer he earned $3,680. How much did he pay in taxes

Answers

3680:100=36,8
36,8×30=1104
The taxi was spent $1104

Question: Given: m∠AEC = 104° and m∠CBD = 31°, Explain why angles ACE, ACB and BCD have a sum of 180°. Use the transversal (line GF) as the basis for your argument.

Answers

when you add the first 2 angles up you get 135. Your goal is 180. so you have to figure out the middle one. Which is 45. if you add all of the numbers up they should equal 180.

104+31+45= 180

Patty ordered a pizza to be delivered. The bill was $12.00. Patty pays $15 and tells the delivery person to keep the change as a tip. What percent tip did she give?

Answers

25%
(15-12)/12=1/4....

Since you know Patty gave a tip of $3, it’s pretty easy to understand that 3 is 1/4 of 12.00 (the pizza price), resulting in a tip percentage of 24%

Which line is the best model for the data in the scatter plot?

Answers

The line that is the best model for the data is the line that passes mostly through the centre of the data. Therefore, it is most likely the plot in the top right.

Answer:Graph B (according to the figure attached to the answer) best model the data in the scatter plot.Step-by-step explanation:We know that a line of best fit also known as a trend line is the line that best represent the data points.

i.e. the points are closely related to the line.

Also, the other properties of a trend line are--

The magnitude of the negative and positive residual values must be same.

( i.e. Not all point could lie above the line and not all points could lie below the line )

( In graph A most of the points lie below the line.

Hence, Graph A is not the correct answer.

In graph most of the points lie above the line.

Hence, Graph C could not be the best model.

In graph D most of the points lie above the line and hence it could not be the best model)

whereas in Graph B there are equal number of points above and below the line.

Other Questions

Read the beginning of the story below and consider how the characters, setting, and mood interact to drive the story forward: This was the moment Zachary had been waiting for. He had rehearsed his lines for weeks, silently in his head as he biked to school, out loud in the mirror when he was home alone, and, to get used to an audience, in front of his sister's stuffed animals and a slightly confused dog. Zachary had not prepared well for last year's audition, and at the last minute had chosen not to gooo embarrassedr too scarede did not know which. Now, as he stood backstage, he thought about last year. He had been so disappointed in himself as he walked home alone, snuck to his room, and flopped sadly into his bed. "Next year will be different," he vowed then and there. "I will be better prepared." And he was. He just hoped it was enough. His throat was dry, his palms were sweaty, his heart was pounding, but he was ready to face the spotlight. A hushed silence fell across the auditorium as the drama teacher called his name. Zachary Hamilton. Based on the passage, how do you think Zachary will deal with the conflict in the remainder of the story?A) The literary elements do not provide enough hints as to what might happen next. B) The literary elements suggest that Zachary is not prepared for this year's audition and will not do well. C) The literary elements suggest that Zachary learned from last year and will have more success this time. D)The literary elements suggest that Zachary will choose not to audition. The childhood level living scale was questioned as to its validity because Ming says that 0.24 > 14 because 0.24 = 24. Which best explains Ming's error? The best sign that a 1-year-old is securely attached is when the child: The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches. What are the length and width of the rectangle? A. length = 20 inches, width = 17 inches B. length = 17 inches, width = 14 inches C. length = 10 inches, width = 7 inches D. length = 34 inches, width = 10 inches Tyson wants to stay out past his curfew to hang out with his friends. Using the decision-making model, summarize what he should do to decide what action to take. How did the war of 1812 shift james madison's views on nationalism, and how did it have an impact on his presidency? 1. What were the Townshend Acts? (1 point) -The British put taxes on imported goods such as tea and glass. -The British put taxes on hotels and other lodging accommodations. -The British put taxes on newspapers, magazines, and official licenses. -The British put taxes on all goods not exported or imported on British ships.(answer) The human capacity for storing long-term memories is 13. 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What inference can the reader make as to why Hester Prynne's daughter would turn her head away from the daylight, based on the following passage from Chapter 2 of The Scarlet Letter?"She bore in her arms a child, a baby of some three months old, who winked and turned aside its little face from the too vivid light of day; because its existence, heretofore, had brought it acquainted only with the gray twilight of a dungeon, or other darksome apartment of the prison." A. The baby, being considered an impure demon due to her scandalous birth, is rejecting the sunlight. B. The child had been born and raised inside of the prison, so wasn't used to the bright, natural daylight. C. The child is too young to respond to the daylight, and is shocked when she sees it for the first time. D. The baby didn't know how to respond to the noise from the crowd.17. 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What influenced the development of Byzantine art and architecture? a scientist wants to display the number of chirps that were recorded in a one hour period for three different species of song bird what type of visual display should the scientist use How many triangles can be made if two sides are 4 inches and the angle between them is 90? (5 points) 1 2 More than 2 None What type of figurative language did Walt Whitman best employ?A. Walt Whitman is known for his use of metaphors.B. Walt Whitman is known for his use of similies.C. Walt Whitman is known for his use of hyperbole.D. Walt Whitman is known for his use of imagery. Can nonsmokers hold their breath longer than people who smoke? Write the independent variable, the dependent variable, and the hypothesis.