1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IgorC [24]
2 years ago
14

the ratio of boys to girls in janices classroom is 3:5, and there are a total of 32 students in the class, help plss​

Mathematics
1 answer:
svetoff [14.1K]2 years ago
5 0

9514 1404 393

Answer:

  • 12 boys
  • 20 girls

Step-by-step explanation:

The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.

The 3 ratio units representing boys will stand for 3×4 = 12 boys.

The 5 ratio units representing girls will stand for 5×4 = 20 girls.

There are 12 boys and 20 girls in Janice's classroom.

_____

<em>Additional comment</em>

I find the above solution to be the easiest.

You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.

  b/g = 3/5

  b +g = 32

Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:

  b = (3/5)g

  (3/5)g +g = 32

  8/5g = 32 . . . . . . . . . . . . . . . . . collect terms

  g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8

  b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g

You might be interested in
Ashley can bake 64 cakes in 12 hours how many can she bake in 36 hours
mrs_skeptik [129]

Answer:

192 cakes

Step-by-step explanation:

36/12= 3

You multiply both numbers by 3:

12*3= 36 hours

64*3=192 cakes

192 cakes in 36 hours

6 0
3 years ago
2. Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditi
Alinara [238K]
Explain what a Euler diagram is...
4 0
3 years ago
Read 2 more answers
Select the expression that represents the simplified difference.
Setler79 [48]

The simplified expression for the given function is 2x + 4 - ( 1 / x-1). The correct option is A.

<h3>What is an expression?</h3>

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the functions are f(x) = x + 2 and h(x) = 1 / x-1. The value of the function 2f(x) – h(x) will be calculated as,

E = 2f(x) – h(x)

E =  2( x + 2 ) - ( 1 / x-1)

E = 2x + 4 - (1/x-1)

To know more about an expression follow

brainly.com/question/29008655

#SPJ2

8 0
1 year ago
Read 2 more answers
Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71
Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17)  = 71       (*)

Use common factor (17*14*4  = 952) as the denominator to combine terms:

1/4 =  (17*14)/ 952  = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952  = 56/952

so 1/4 + 1/14 + 1/17 =    (238 + 68 + 56)/ 952 =  362/952 = 181/476

Substituting in (*) gives

x ( 181/476)  = 71                       => multiply both sides by 476/181

x = (71 * 476)/181                       => 71* 476 =33769

x = 33769/181

Thank you,

MrB

4 0
3 years ago
Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none
Marysya12 [62]

Answer:  The required solution of the given system is

(x, y) = (3, 1)  and  (4, 0).

Step-by-step explanation:  We are given to solve the following system of equations :

x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (i), we have

x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (ii), we get

y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.

When, x = 3, then from (iii), we get

y=4-3=1.

And, when x = 4, then from (iii), we get

y=4-4=0.

Thus, the required solution of the given system is

(x, y) = (3, 1)  and  (4, 0).

8 0
3 years ago
Other questions:
  • I NEED A LOT OF HELP PLEASE! I WILL FAIL IF IT DOESNT GET DONE!
    10·1 answer
  • If point B is translated 3 units right and 4 units up what are the coordinates of the new point
    13·1 answer
  • If you borrow $450.00 at a 5% interest, how much will you pay in one month?
    7·1 answer
  • A spinner is divided into 3 equal sections shaded blue, green and orange. Brody spins the spinner. If he spins the spinner 300 t
    5·2 answers
  • A rental car company charges $0.50 per mile and a flat rate of $30.00 for any type of sedan. If m represents the number of miles
    7·2 answers
  • Adam sold 40% of the 70 chocolate bars he has to sell for his school fundraiser. How many does Adam still have to sell? Provide
    12·1 answer
  • Luisa received $108 for a necklace she sold on an online auction. The auction site took fee of 10% of the selling price. What wa
    9·1 answer
  • Help me please for brainliest!
    13·2 answers
  • Solve the system of equations.
    12·1 answer
  • This month, 25 dogs were brought in to the animal shelter. Leo predicts that next month will have 40% more dogs brought in than
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!