at a school the number of boys: number of girls = 11 : 9
there are 124 more boys than girls

work out the total number of students at the school

Answers

Answer 1

b = boys

g = girls

[tex]b:g=11:9, b=g+124[/tex]

[tex]b=11g/9[/tex]

Insert in the second equation

[tex]11g/9=g+124[/tex]

Solve for g

[tex]11g=9g+124\cdot9[/tex]

[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]

Solve for b

[tex]b=g+124=\boxed{682}[/tex]

Hope this helps.


Related Questions

7. Give an example of a real number that is not rational.

Answers

Answer:

3.14

Step-by-step explanation:

Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).

An equation is −109.3=
.

The outside temperature is
∘F.

Answers

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6

Please tell me the right answer.

Answers

Answer:

b

Step-by-step explanation:

B. Is the correct Answer

You and your best friend decide to go to dinner at Chickfila. You each
order a salad for $8.50, lemonade for $1.75, and ice cream for $2.50.
You have a coupon for 20% off the total meal. You must also pay an
8.25% tax rate on the discounted total. Determine the total price for
the meal.

Answers

Answer:

= $28.90

Step-by-step explanation:

Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x

Answers

Answer:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

Step-by-step explanation:

Given

[tex]f(x)=3*5^{2x-3}[/tex]

Required

To determine if it is an exponential function, we have to write in form of

[tex]f(x) = ab^x[/tex]

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

[tex]f(x)=3*5^{2x-3}[/tex]

Apply Law of indices

[tex]f(x)=3*\frac{5^{2x}}{5^3}[/tex]

Express 5^3 as 125

[tex]f(x)=3*\frac{5^{2x}}{125}[/tex]

Factorize the exponent of 5

[tex]f(x)=3*\frac{5^{(2)x}}{125}[/tex]

Express 5^2 as 25

[tex]f(x)=3*\frac{25^x}{125}[/tex]

This can be rewritten as:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

By comparing the above to [tex]f(x) = ab^x[/tex]

We have that

[tex]a = \frac{3}{125}[/tex]

[tex]b^x = 25^x[/tex]

Since, we've be able to express the function as [tex]f(x) = ab^x[/tex]

Then, [tex]f(x)=3*5^{2x-3}[/tex] is an exponential function

The expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]. Option C is correct.

Given the equation [tex]f(x) = 3\cdot 5^{2x-3}[/tex], we are to write in the form [tex]a(b)^x[/tex]

Simplifying the given expression, we will have:

[tex]g(x) = 3\cdot 5^{2x-3}\\g(x) = 3\cdot 5^{2x} \cdot 5^{-3}\\g(x) =\frac{3}{5^3}\cdot (5^2)^x\\g(x)=\frac{3}{125} \cdot 25^x[/tex]

Hence the expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]

Learn more here: https://brainly.com/question/19742435

what is 0.144444444444 as a fraction

Answers

Answer:

18/125

Step-by-step explanation:

What is the equation of this graphed line?
Enter your answer in slope-intercept form.


Please answer quickly, I will give brainliest to whoever answers correctly, thank you.

Answers

Answer:

y = -9/8x + 7

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

Points given:

(0, 7) and (8, -2)

y-intercept is

b = 7 as per the first point

And the slope is:

m = (-2 - 7)/(8 - 0) = -9/8

So the line is:

y = -9/8x + 7

Answer:

Required Answer:-

points are

(0,7)(8,-2)

slope =m

[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]

y intercept:-

7

Hence the equation is

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]

se Home
ework
The following line graph shows the attendance at an annual event from 1998
through 2004. Estimate the attendance at the annual event in 2002,
The approximate paid attendance in 2002 was.
Attendance at an Annual Event
100,000
zes & Tests
Q
80,000
dy Plan
60.000
Paid Attendance
debook
40,000
20.000
apter Contents
0-
1998
ols for Success
2000
2002
Year
2004
ultimedia Librai
earson Tutor
ervices

Answers

It’s 20000 but not sure about it

Can someone please help me with this question?!

Answers

It is c the answer of it

If triangle ABD is similar to Triangle EFG, find BC and FH
A BC= 9, FH=6
B. BC= 12, FH=9
C. BC =15. FH =12
D. BC=16, FH =13

Answers

Answer:

B. BC=12, FH=9

Step-by-step explanation:

I guessed and it was right

Which of the following can be used to find the measure of angle C, angle D, and ankle E?

A-Pythagorean Theorem

B-Triangle Sum Theorem

C-Isosceles Triangle Theorem

D-AAA Postulate Theorem

Answers

The correct answer is B

Finding the Equation of a Line from a Graph and a Table

plz help me

Answers

Answer:

slope (m)= 1/2

y-intercept: (0, -1)

equation: y=[tex]\frac{1}{2}[/tex]x-1

Step-by-step explanation:

slope is [tex]\frac{rise}{run\\}[/tex]=[tex]\frac{1}{2}[/tex]

y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)

using point slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-0)

y+1=1/2x

y=[tex]\frac{1}{2}[/tex]x-1

please answer i need it!

Answers

Answer:

eftrgrqg54y

Step-by-step explanation:

Answer:

24.5 feet i think

Step-by-step explanation:

A question on a history test asks you to match 10 dates with 10 events. In how many ways could you possible answer this question?
There are (BLANK) ways to answer the question.

**Make sure to enter numbers without commas & round any decimals to the nearest hundredth**

Answers

Answer:

110

Step-by-step explanation:

Each date has 11 choices (10 events, 1 blank) so multiply by 10 to get 110.

The slope of the lawn and passing through the points (1,3) and (5,13)

Answers

(13-3)/(5-1)=10/4=5/2

Choose the correct words from the drop-down menu to make a true statement about the system of equations.
y = 1/3x + 2
–x + 3y = 6

Using substitution, the system has choose....
A. No solution

B. One solution

C. Infinitely many solutions

Answers

Answer:

C

Step-by-step explanation:

Given the 2 equations

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

- x + 3y = 6 → (2)

Substitute y = [tex]\frac{1}{3}[/tex] x + 2 into (2)

- x + 3([tex]\frac{1}{3}[/tex] x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

The given system of equations has infinitely many solutions.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following system of equations -

y = 1/3x + 2

–x + 3y = 6

We have -

- x + 3y = 6

x = 3y - 6

Then -

y = 1/3(3y - 6) + 2

y = y - 2 + 2

y = y

Therefore, the given system of equations has infinitely many solutions.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=15 and y=49

Step-by-step explanation:

y+16=5x-10

and (y+16) + (8x-5)=180

so y=5x-26 and then

plug in for y so 5x-26+16+8x-5=180

that means x=15

plug in for x

y+16= 5(15)-10

that means y=49

thanks for the brainliest!

please help thank you

Answers

Answer:

You would earn $637

Equation: (4,800x6.5%)+325

Step-by-step explanation:

6.5%= 0.065

So 4800 times 0.065 is 312.

Then you add 312 to the weekly salary of 325

325+312= 637

Share what you think loves is. I think love is when you can sit next to each other and not say anything watching tv or something on your own and still have a good time, or when you can make my day by just showing up. what is 7+2000000?

Answers

Answer:

2000007

Step-by-step explanation:

Please HELP!! It’s due today

Answers

Answer:

For C all she has to do is look at the chart-

0=0

1=4

2=8

3=12

4=16

Simplify.

Rewrite the expression in the form 4^x.

4^4 x 4^3 = ??

Answers

Answer:

[tex]4^{7}[/tex]

Step-by-step explanation:

To simplify the expression [tex]4^{4}\times4^{3}[/tex], we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg: [tex]a^{x}\times a^{y} = a^{x+y}[/tex].

[tex]4^4 \times4^3=4^{4+3}[/tex]

[tex]=4^{7}[/tex]

Hope this helps :)

524
You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per hour faster. It
takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?

Answers

Answer:

543

Step-by-step explanation ITS 524

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

Mario tracks his heart rate after throwing warm-up pitches before a game. In 1/4 minutes, Mario's heart beats 28 times

Answers

Answer:112

Step-by-step explanation: 1/4 divided by 28/1 = 1/112

Answer:

112 and very light

Step-by-step explanation:


D =
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.

Answers

Answer:

This is a function. Range is y is an element of all real numbers, or {yer} and domain is x is greater than or equal to -4, xer {x>=-4|xer}

Step-by-step explanation:

Solve the system of equations by the elimination method: \large 9x+y=-8 and \large 4x+y=2. Then fill in the solution as an ordered pair:

Answers

Answer:

rrrrrrrrrrrrrrrrrrrrrwwwwwwwwwwwwwwwwww44444444444444wwwwwwwwwwwwww

Step-by-step explanation:

you are easydsssssdfewatg3

Linda Is working at an art shop. She will be paid a daily amount plus a commission of a total sales. The equation y = .10x + 85 represents the amount Linda will make

Answers

Answer:

Income Linda make = $150

Step-by-step explanation:

Given:

y = 0.10x + 85

Assume;

Sales = $650

Find:

Income Linda make

Computation:

Income Linda make = 0.10x + 85

Income Linda make = 0.10(650) + 85

Income Linda make = 65 + 85

Income Linda make = $150


Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.

Answers

Answer:

guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer

Tony and Sam are sharing the driving on a 520-mile trip. If Tony drives 90 more miles than Sam, how far did each of them drive?

Answers

Answer:

miles driven by sam =215 miles

Miles driven by Tony =  305 miles.

Step-by-step explanation:

Let the miles driven by sam is x

given that Tony drove 90 miles more than sam

miles driven by Tony  = miles driven by sam + 90 = x + 90

Total miles driven by them together

= miles driven by Tony + miles driven by sam = x + 90 + x = 2x + 90

given

Tony and Sam are sharing the driving on a 520-mile trip

2x + 90  = 520

2x = 520 - 90 = 430

x = 430/2 = 215

Thus,

miles driven by sam = x = 215 miles

Miles driven by Tony = x + 90 = 215 + 90 = 305 miles.

what is the inequality shown?
Need help, first correct explanation gets brainliest

Answers

Answer:

- 4 < x ≤ 5

Step-by-step explanation:

The line is from - 4 to 5

The open circle at - 4 indicates that x cannot equal - 4

The closed circle at 5 indicates that x can equal 5

The inequality is then

- 4 < x ≤ 5

Other Questions
Ross is shopping for mulch that costs $1.29 per cubic foot. During his first trip to the store, he bought 16.5 cubic feet. He needs another 4.5 cubic feet to complete his landscaping project. Which expression shows the total cost in dollars of the mulch?A: 1.2916.51.294.5B: 1.2916.5+4.5C: 1.29(16.5+4.5)D: 16.5(1.29+4.5) Supporters of the atomic bomb argued against the idea that the US should not use the bomb against Japan by The owner of a small convenience store observed that almost all customers paid with credit cards regardless of whether they had cash available, resulting in significant processing charges for the store. The owner began to add a fifty-cent charge to credit card purchases under two dollars, and during the following month, virtually all customers used cash for small purchases while continuing to use credit cards for larger purchases. Nonetheless, during the month after the charge was instated, the average dollar amount of each cash transaction was almost identical to the average dollar amount of each credit card transaction.The information in the passage most strongly supports which of the following?A. The average dollar amount spent by customers who did not have cash available was higher after the charge was instated than it had been beforehand.B. After the charge was instated, customers who used cash for purchases totaling two dollars or more spent more, on average, than customers who used credit cards for these purchases.C. The average dollar amount spent in each cash transaction at the convenience store was lower after the charge was instated than beforehand.D. A significant majority of purchases made at the convenience store during the month after the charge was instated were made using credit cards.E. 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