Mathematics College


In a class of the students in a class are girls.
There are 28 boys.
What fraction of the class are boys?
How many students are in the class?

Answers

Answer 1

Answer:

[tex]Boys = 1 /4[/tex]

[tex]Total =112[/tex]

Step-by-step explanation:

Given

[tex]Girls= 3/4[/tex] ---  missing information

[tex]Boys = 28[/tex]

Solving (a): The fraction that are boys

We have:

[tex]Girls= 3/4[/tex]

This implies that

[tex]Boys = 1 - Girls[/tex]

[tex]Boys = 1 - 3/4[/tex]

[tex]Boys = 1 /4[/tex]

Solving (b): Students in the class

If 1/4 are boys, then:

[tex]Boys = \frac{1}{4} * Total[/tex]

We also have that: [tex]Boys = 28[/tex]

So:

[tex]28= \frac{1}{4} * Total[/tex]

[tex]28 * 4 = Total[/tex]

[tex]112= Total[/tex]

[tex]Total =112[/tex]

Related Questions

What method can be used to prove the triangles are congruent?


Options: AAS, ASA, SSS, SAS, HL or Not Possible​

Answers

Answer:

An method would be ASA

Step-by-step explanation:

Juan's car used 12 gallons of gasoline to travel 456 miles. How many miles do I travel for each gallon of gasoline?

Answers

Answer:

38 miles per gallon

Step-by-step explanation:

465 miles / 12 gallons

38 miles / gallon

Find the measure of each angle indicated

Answers

Answer:

45°

Step-by-step explanation:

here's your solution

=> we know that sum of both angle is equal

180°

=> because both angle are co-interior angle

=> let the unknown angle be x

=> so, X + 135° = 180°

=> x= 180 - 135

=> 45°

hope it helps

Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is

M(t)= (1/11.5t)^2 , t < 2/3

Required:
Calculate the standard deviation of X + Y.

Answers

The moment generating function of each random variable is;

M(t) = (1/(1 - 1.5t))^(2), t < 2/3

Answer:

SD[X + Y] = 3

Step-by-step explanation:

For ease of differentiation, let's rewrite the M(t) function as;

M(t) = (1 - (3/2)t)^(-2)

Let's find the first derivative of the function;

M'(t) = 3(1 - (3/2)t)^(-3)

To get E[X], we will put 0 for t to get;

E[X] = 3(1 - (3/2)0)^(-3)

E[X] = 3

Now,let's find the second derivative of M(t)

M"(t) = (27/2)(1 - (3/2)t)^(-4)

At,t = 0, we will get E[X²]

Thus;

E[X²] = 27/2

Now, Var[X] = E[X²] - (E[X])²

Var[X] = (27/2) - 3²

Var[X] = 9/2

We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;

Var[X + Y] = 9/2 + 9/2

Var[X + Y] = 9

Now,we know that square root of variance is standard deviation. Thus;

SD[X + Y] = √9

SD[X + Y] = 3

Please answer this correctly without making mistakes

Answers

Answer:

w-(v+4)

Step-by-step explanation:

please give brainliest

During the fall you charge $10 to go to a house and rake the leaves and an additional eight dollars for every hour that you rake the yard if you earned $42 how many hours did you spend raking the leaves

Answers

Answer:

4

Step-by-step explanation:

set up an equation:

let h be the number of hours you spent raking.

then, the cost would be 10 + 8 times the number of hours.

In equation form:

[tex]10 + 8h = 42[/tex]

solve:

[tex]10 + 8h = 42\\8h = 32\\h = 4[/tex]

So you worked for 4 hours

(8x+1/2x) raise to a power of 8

Answers

6975757441x^8 / 256
This is the answer hope this helps

slove this plzzz plzzz​

Answers

Answer:

an equilateral triangle have equal angles and equal sides.

so, side x and side bc are 12.

Answer:

It's going to be 12, so is the other size.

Step-by-step explanation:

You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D

|x+3 , if x = 2. Plz help I will pick brainlist

Answers

Answer:

1(2)+3=5

Step-by-step explanation:

Simplify the expression below. A. 83 B. 812 C. 84 D. 88

Answers

Answer:

there is no expression

Step-by-step explanation:

Factor completely
12n^3 + 15n^2 + 4n + 5

Answers

The answer is 70n +5

-4x - 4(6x-14) +8(6x-10) - (20x -18)

Answers

Answer:

I believe it is -6

Step-by-step explanation:

What is the answer
How do you solve it

Answers

Answer:

-50y+(-80)

Step-by-step explanation:

Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?

Answers

Answer:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]

Output of 40 when x=1

This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So

[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]

[tex]40 = a(20)(2)[/tex]

[tex]40a = 40[/tex]

[tex]a = 1[/tex]

The polynomial is:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

C(x)=4x; R(x) = 6X-.001x²
Marginal cost?

Answers

Answer:

the answer is to commit uninstall

Step-by-step explanation:

gg wp

I'm lost on this please help

Answers

Answer:

Y=1/4x+33/4

Step-by-step explanation:

Y=1/4x+b

9=1/4(3)+b

9=3/4+b

8.25=33/4=b

Y=1/4x+33/4

The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer

Answers

Answer:

more information

Step-by-step explanation:

Please help with my math problems

Answers

3x9=27cm^2 so the area should be 27cm^2

Answer:

4. D

6. A

Step-by-step explanation:

please help me solve this problem!!

Answers

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

What is the value of x in the figure above?

What is Y?

What is the value of z?

What 2 methods can be used to find Z?

Answers

Answer:

y=92

z=57

TWO METHODS:

1) z=180-31-92 (small triangle)

2) z=180-60-63 (big triangle)

Step-by-step explanation:

63+29+x=180

x=180-92

x=88

y=180-88

y=92

z=180-31-92

z=57

*NEED HELP QUICKLY*

my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.

Answers

Answer: undefined

Step-by-step explanation:

I think im not sure tho

Help me please I give brainliest and be serious

Answers

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola bars Andrew brought.
13+b
13b
b÷13
13÷b​

Answers

Answer:

13b

Step-by-step explanation:

Answer:

The correct Answer is B: 13B

Step-by-step explanation:

Have A Nice Day.

HELP I DONT KNOW HOW TO DO THIS : international space station anniversary emoji math

Answers

Answer are: 90, 232, 18 and 98

ce este un numar rational?

Answers

Answer:

ratio

Step-by-step explanation:

ratio what that person said ^^^^! Byeee^

CAN SOMEONE HELP ME PLZZZ

Answers

Answer:2440

Step-by-step explanation:

What is the answer to this

Answers

Cos(theta)=a/h
Cos(theta)=12/13
Theta=cos^-1(12/13)
Theta=22.62 degrees

Hope it helps

X + (x+1) + (x+2) = -21​

Answers

Answer:

x= - 8

Step-by-step explanation: Are you solving for X if so here is the answer

Pleaseeeee helppppppp

Answers

Answer:

TIK TOK

Step-by-step explanation:

ON THE CLOCK  

the answer should be 12,
the area of a triangle is 1/2bh
so (1/2)(3)(8)=12

Can a triangle have the following side lengths? Explain.
5 feet, 2 feet, 10 feet

Answers

Answer:

No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.

Step-by-step explanation:

You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.

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