At a country concert, the ratio of the number of boys to the number of
girls is 2:5. If there are 250 girls, how many boys are at the concert?

Answers

Answer 1

Answer: There are 100 boys at the concert

Step-by-step explanation:

If the the ratio of  boys to girls is 2:5 and and there are 250 girls  then a number was multiplied by 5 to get 250  and that number needs to be multiply by 2  to find the number of boys.

So to find that number we will divide 250 by 5.

250/ 5 = 50  

50 * 2 = 100


Related Questions

The square of X varies inversely as the square root of Y and directly as the variable M. When M = 27 and Y = 16, then X = 9. Find the exact value of Y when M = 7 and X = 2

Answers

Answer:

[tex]Y = 441[/tex]

Step-by-step explanation:

Given

M = 27 when Y = 16 and X = 9

Required

Find Y when M = 7 and X = 2

We start by getting the algebraic representation of the given statement

[tex]X^2 \alpha \frac{1}{\sqrt Y} \alpha M[/tex]

Convert the variation to an equation; we have

[tex]X^2 = \frac{KM}{\sqrt Y}[/tex]

Where K is the constant of variation;

When M = 27; Y = 16; X = 9, the expression becomes

[tex]9^2 = \frac{K * 27}{\sqrt{16}}[/tex]

This gives

[tex]81 = \frac{k * 27}{4}[/tex]

Make K the subject of formula

[tex]K = \frac{81* 4}{27}[/tex]

[tex]K = \frac{324}{27}[/tex]

[tex]K = 12[/tex]

Solving for Y when M = 7 and X = 2

Recall that [tex]X^2 = \frac{KM}{\sqrt Y}[/tex]

Substitute values for K, M and X

[tex]2^2 = \frac{12 * 7}{\sqrt{Y}}[/tex]

[tex]4 = \frac{84}{\sqrt{Y}}[/tex]

Take square of both sides

[tex]4^2 = (\frac{84}{\sqrt{Y}})^2[/tex]

[tex]16 = \frac{7056}{Y}[/tex]

Make  Y the subject of formula

[tex]Y = \frac{7056}{16}[/tex]

[tex]Y = 441[/tex]

Find the inverse of f(x)=6x^5-11

Answers

Answer:

[tex]f^{-1}(x)=\sqrt[5]{\frac{x+11}{6}}[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x^5-11[/tex]

To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for f⁻¹(x). So:

[tex]f(x)=6x^5-11\\x=6(f^{-1}(x))^5-11[/tex]

Add 11 to both sides:

[tex]x+11=6(f^{-1}(x))^5[/tex]

Divide both sides by 6:

[tex]\frac{x+11}{6}=f^{-1}(x)^5[/tex]

Take the fifth root of each side:

[tex]f^{-1}(x)=\sqrt[5]{\frac{x+11}{6}}[/tex]

And we're done :)

Answer:

[tex]f^-^1(x)=\sqrt[5]{\frac{x+11}{6} }[/tex]

Step-by-step explanation:

[tex]f(x)=6x^5-11\\[/tex]

Let y equal the equation

[tex]y =6x^5-11\\y+11=6x^5\\\\Divide\:both\:sides\:of\:the\:equation\:by \: 6\\\frac{y+11}{6} = \frac{6x^5}{6} \\\\\frac{y+11}{6} = x^5\\ \\Quatric\:root\:both\:sides\\\sqrt[5]{\frac{y+11}{6} } = \sqrt[5]{x^5} \\\\\sqrt[5]{\frac{y+11}{6} } = x\\\\f^-^1(x) = \sqrt[5]{\frac{x+11}{6} }[/tex]

The surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell. Express S as a function of r.

Answers

Answer:

[tex]S(r)=4\pi r^2[/tex].

Step-by-step explanation:

It is given that, the surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell.  

We need to express S as a function of r.

Let r be the radius of the cell and S(r) be the surface area of single-celled organism when radius is r.

According to the question,

[tex]S(r)=4\pi \times r^2[/tex]

[tex]S(r)=4\pi r^2[/tex]

Therefore, the required function is [tex]S(r)=4\pi r^2[/tex].

brody is working two summer jobs, making $10 per hour babysitting and making $15 per hour cleaning tables. In a given week, he can work a maximum of 13 total hours and must earn at least $150. If x represents the number of hours babysitting and y represents the number of hours cleaning tables, write and solve a system of inequalities graphically and determine on possible solution.

Answers

Answer:

10x+15y≥150

Step-by-step explanation:

Graph y≤13−x (shading down)

graph y≥10− 3/2x (shading up)

Help i dont understand pls help :(

Answers

Answer:

Answer is h(0)=1

Step-by-step explanation:

All you have to do is substitute x with 0 in the original equation.

You have a balance of $213 in a savings account you withdraw $68 one day and $128 the next day without making any deposit what is the new balance

Answers

Step-by-step explanation:

Here hope this helps........

Write each fraction in simplest form if the fraction is already in simplest, form write simplifyed 4 over 14

Answers

Answer:

2/7 or 2 over 7

Step-by-step explanation:

4/14 can be simplified. We know this because both 4 and 14 can be divided by 2. 4 divided by 2 = 2 and 1 divided by 2 = 7, thus the answer is 2 over 7.


The Black Panther climbed a height of 15 ft and dropped 20 ft. Write each number as an integer and solve.

Answers

Answer:

-5

Step-by-step explanation:

15-20

Answer:

-5

Step-by-step explanation:

15-20=-5

integer means whole number

BRAINLIEST

Find an equation of the line that is perpendicular to 2x-3y=3 that passes through the point (1,2)

Answers

Answer:

The answer is

[tex]3x + 2y = 7[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the perpendicular line we must first find the slope of the original line

From the question the original line is

2x - 3y = 3

Write the equation in the general form above

That's

3y = 2x - 3

y = 2/3x - 1

Comparing with the general equation above

Slope = 2/3

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

Slope of perpendicular line = - 3/2

So the Equation of the line using point

( 1 , 2) and slope - 3/2 is

[tex]y -2 = - \frac{3}{2} ( x - 1) \\ 2y - 4 = - 3(x - 1) \\ 2y - 4 = - 3x + 3 \\ 3x + 2y - 4 - 3 = 0[/tex]

We have the final answer as

[tex]3x + 2y = 7[/tex]

Hope this helps you

Find the distance between the pair of points: (-6, 4) and (6,4)

Answers

Answer:

12.

Explanation:

Use the distance formula to determine the distance between two points.

A blacksmith has been studying vector calculus and wants to calculate the total mass of a curved metal fitting. Given that the metal fitting has a helix shape parameterized by C:[0,π] → IR3 C(t) = (cos (t), sin(t), t) And the density of the metal material is given by the function:f(x,y,z) = 22 How can the black smith calculate the total mass of the fitting and what is this mass?

Answers

Answer:

4483.1

Step-by-step explanation:

Helix shape of the metal fitting parameterized :

C(t) = (cos(t), sin(t), t )

This shows that:  x = cos(t), y = sin(t), z = t

density of the metal can be represented as

f (x(t), y(t), z(t) = 2z = 2t

To calculate the mass of the fitting an integral is generated below ( attached below is remaining part of the solution )

8x - 7x + 6 = 6 help you guys pleases

Answers

Steps to solve:

8x - 7x + 6 = 6

~Combine like terms

x + 6 = 6

~Subtract 6 to both sides

x = 0

Best of Luck!

Answer:

0

8x0=0 7x0=0

6+0=6

Step-by-step explanation:

If two lines intersect, then they intersect in exactly one _____ point. line. postulate. plane.

Answers

Answer: the answer is A. point

Help me on this please​

Answers

Answer:

the measure of angle DCF is 75° + 54° = 129°

Sea level is defined as being at an elevation of O feet. The elevation of land is defined to be its height above or below sea level. The table shows the lowest elevations
in some states. Write the values in order from greatest to least.

Answers

Answer:

2,844 ft, 713 ft, 481 ft, 55ft.

Step-by-step explanation:

New Mexico has the highest of the lowest land elevations of the given states, at 2,844 feet. It is followed by Idaho, at 713 feet, which is followed by Nevada, at 481 feet. Arkansas has the lowest land elevation at 55 feet. The elevations in order from highest to lowest are thus 2,844 feet, 713 feet, 481 feet, and 55 feet.

Find the next number in the number sequence 3, 6, 10, 15.

Answers

Answer:

21

Step-by-step explanation:

3 + 3 = 6

6 + 4 = 10

10 + 5 = 15

so...

15 + 6 = 21

I think it would be 21

Please someone answer this right
God bless you all :D

Answers

14)35.42 or 1771/50
15)342.187 or 342187/1000

Solve each system of equations by using a table.
y= 3x - 4
y = -2x + 11

Answers

Answer:

Step-by-step explanation:

3x - 4 = -2x + 11

5x - 4 = 11

5x = 15

x = 3

3(3) - 4 = 9 - 4 = 5 = y

(3, 5)

Answer:

1.)y=3x-4=5

2.)y=4x-1=7

what is the slope of y=-3

Answers

Answer:The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 0 .

Step-by-step explanation:

Answer:

The slope of y=-3 is 0.

y=-3 is a horizontal line.

Let me know if this helps :)

What is 7/8 + 5/6 equal to

Answers

Answer:

41/24

Step-by-step explanation:

Answer:

41/24

Step-by-step explanation:

transform the expression

21 + 20/24

add the numbers

41/24

alternate form

1 17/24, 1.7083

What is 57 divided by 20

Answers

Answer:

2.85

Step-by-step explanation:

Answer: 2.85

Step-by-step explanation:

57/20 = 2.85

5 to the 4th power times 5 to the 2 power

Answers

the answer is 250 with problems like that multiply the power with the number it goes with

Answer:

1,250

Step-by-step explanation:

5 to the 4 power is 50,and 5 to the 2 power is 25 and then Multiply them and that should be your answer

marissa has $4.40 in quarters and dimes. if she has 5 more quarters than dimes how many of each coin does she have?

Answers

Answer:

22

Step-by-step explanation:

Marissa has $4.40 quarter and dimes

she has 5 more quarters than dimes

that means she times

$4.40×5=22

Answer:

Dimes = 9 dimes.

Quarters = 14 quarters.

Step-by-step explanation:

Q = D + 5 (1)

25×Q + 10×D = 440. (2)

From eq(1) substitute the expression for Q into equation (2)

25×(D+5) + 10D = 440

25D + 125 + 10D = 440

35D = 440 - 125

35D = 315

D = 315/35

D = 9

so,

Dimes = 9 dimes.

and,

Quarters = 9+5

= 14 quarters.

Prove:

25×Q + 10×D = 440

25×14 + 10×9 = 440

350 + 90 = 440

440 = 440

Proved.

HELP PLEASE I WILL MARK YOU BRAINLIEST Jermias buys 6.5 pounds of ground beef at the grocery store. Ground beef costs $5.50 for one pound. How much does Jeremias spend?*

Answers

Answer: $35.75

Step-by-step explanation: 6.5x5.5=35.75

Answer:

the answer is drum rollll

Step-by-step explanation:

7.58

An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his election campaign.a. Calculate a 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws. (Round your answers to three decimal places.)

Answers

Answer:

The confidence Interval = (0.329, 0.391)

Step-by-step explanation:

Formula for the Confidence Interval for proportion =

p ± z × √p(1 - p)/n

where

p = x/n

From the question

n = 900 people

x = 36% of 900 people

= 36/100 × 900

= 324

z = z score of 95% confidence Interval

z = 1.98

p = x/n

= 324/900

= 0.36

Confidence Interval = p ± z × √p(1 - p)/n

= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900

= 0.36 ± 1.96 ×√0.36 (0.64)/900

= 0.36 ± 1.96 × √0.000256

= 0.36 ± 1.96 × 0.016

= 0.36 ± 0.03136

Confidence Interval = 0.36 ± 0.03136

= 0.36 - 0.03136

= 0.32864

Approximately to 3 decimal places = 0.329

= 0.36 + 0.03136

= 0.39136

Approximately to 3 decimal places = 0.391

Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)

Help i dont understand Pls Help :( Given h(x)=-3x-4h(x)=−3x−4, find h(0)h(0).

Answers

Answer:

-4

Step-by-step explanation:

So we have the function:

[tex]h(x)=-3x-4[/tex]

To find h(0), substitute 0 for x. Thus:

[tex]h(0)=-3(0)-4[/tex]

Multiply:

[tex]h(0)=0-4[/tex]

Subtract:

[tex]h(0)=-4[/tex]

And we're done!

Please help!!!! This question is on my plato

Answers

Answer:

Its D

Step-by-step explanation:

29/1000= 0.029

Answer:

C.

Step-by-step explanation:

29/999 is 0.02929292929292929

Midpoint (10,4) Endpoint (9,-4), find the coordinates of the other endpoint.​

Answers

Answer:

(11, 12)

Step-by-step explanation:

Mid point coordinates:

x = (x₁ + x₂)/2y = (y₁ + y₂)/2

Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:

x₂ = 2x - x₁ = 2*10 - 9 = 11y₂ = 2y - y₁ = 2*4 - (-4) = 12

So the other endpoint is: (11, 12)

If you averaged 400 miles per day, about how many days would a trip of 1990 miles take?
A. about 6 days
B. about 5 days
c. about 3 days
D. about 4 days
E. about 3 dayS

Answers

Answer:

B. about 5 days.

Step-by-step explanation:

If you average;

400 miles per day

1990 miles trip would take?

Cross multiplying gives;

[tex]\frac{1990 * 1}{400}[/tex] = 4.975 days

Rounding off the answer to nearest day gives 5 days.

Hence the 1990 miles journey should take about 5 days.

A trip of 1990 miles would take around 5 days if you averaged 400 miles each day. Option B is correct.

What is average?

It is described as the single number that embodies the mean value for the specified collection of data or the closed value for each item in the specified set of data.


It is given that, you averaged 400 miles per day,

We have to find the days would a trip of 1990 miles takes.

The number of days is obtained by taking the ratio of the total distance we have to travel to the distance traveled by the person in one day.

Suppose the number of days needed to complete the trip will be x,

x=Total distance/distance in one day


x=1990 / 400

x= 4.975 days

x≈5 days

If you averaged 400 miles each day, a trip of 1990 miles would take around 5 days.

Thus, option B is correct.

Learn more about the average here:

brainly.com/question/24057012

#SPJ2

(x^2+4)^2−11(x^2+4)+24=0
find one solution for this equation

Answers

Answer:

Step-by-step explanation:

(x²+4)²-11(x²+4)+24=0

put x²+4=y

y²-11y+24=0

y²-3y-8y+24=0

y(y-3)-8(y-3)=0

(y-3)(y-8)=0

y=3,8

so x²+4=3

x²=-1=i²

x=±i

or x²+4=8

x²=4

x=±2

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