A geometry class has a total of 31 students. The number of males is 13 more than the number of females. How many males and how many females are in the class?

Answers

Answer 1

Answer:

There are nine female students, and twenty-two male students.

Step-by-step explanation:

We're told that the total number of male and female students is 31:

[tex]m + f = 31[/tex]

We're also told that there are 13 more male than female students:

[tex]m = f + 13[/tex]

So we can substitute the latter piece of information into the former, which will tell us how many female students there are:

[tex]m + f = 31\\(f + 13) + f = 31\\f + f = 31 - 13\\2f = 18\\f = 9[/tex]

So there are nine female students.  We can now take either of the initial tow equations, and plug the resulting f value to find m:

[tex]m = f + 31\\m + 9 = 31\\m = 31 - 9\\m = 22[/tex]

So there are nine female students, and twenty-two male students.


Related Questions

Jack and Jill went out to lunch the bill came to be $25 they left a $5 tip what percent of the total bill with the tip​

Answers

Answer:

20%

Step-by-step explanation:

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? (1 point) a n = 3.86P b P equals 3.86 over n c n equals 3.86 over P d P = 3.86n At an adventure park, a base ticket costs $85.50 per adult. Which equation can be used to calculate the base ticket price, A, for n adults? (1 point) a n = 85.50A b A = 85.50n c n equals 85.50 over A d A equals 85.50 over n

Answers

Answer:

1. d) P = 3.86n

2. b) A = 85.50n

Step-by-step explanation:

What is the average speed, in miles per hour, of the train?

Answers

Step-by-step explanation:A

Do 90 3/5 divided by 3/4. Make sure to simplify! That is how you find average!

how do you divide 420 and 10 showing your work?

Answers

Answer:

42

Step-by-step explanation:

I drew It out for you! :)

Someone please help me

Answers

Answer:  B) 2

=========================================================

Explanation:

Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.

Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.

You should have:

5 gray rectangles, and no squares (of any color) on the left side10 black squares, no long rectangles (of any color), on the right side

From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.

This means the solution is 2.

-------------------------------------

If you're curious about the algebraic way to solve, then you could do this:

3x-4 = -2x+6

3x+2x = 6+4

5x = 10

x = 10/5

x = 2

This method doesn't require us to use the visual model.

What 2 numbers multiply to -18 and add up to -4

Answers

Answer:

-9 x 1 x 1 x 1 x 2 = (-18)

-9 + 1 + 1 + 1 + 2 = (-4)

The two numbers that multiply to -18 and add up to -4 are -6 and 3.

Let's consider the factors of 18: 1, 2, 3, 6, 9, 18.

We need a pair of factors whose product is negative (-18) and whose sum is -4.

The pair of numbers that satisfies these conditions is -6 and 3:

-6 x 3 = -18

-6 + 3 = -3

Therefore, the two numbers that multiply to -18 and add up to -4 are -6 and 3.

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ6

Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter of the canvas.

Please help this is due at 11:59 and I will give you brainliest!

Answers

Answer:

5h

Step-by-step explanation:

there is no out numbers so it would just be 5h

find the number that belongs in the green box,

round your answer to the nearest tenth. ​

Answers

Answer:61.3

Step-by-step explanation:

Using the Law of Sines, you get this formula

sin(angleA)=(a*sin(angleB))/b

sin(angleA)=(14*sin(70)/15)

sin(angleA)=(.88)

angleA=sin-1(.88)

angleA=61.3

Write an equation in slope-intercept form for the line that has the given slope and contains the point.

m= 1 :(9,-7)

Answers

Answer:

-7=1x+b

Step-by-step explanation:

NEED HEP WITH THIS PLZ

Answers

Answer:

(0, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - y = -2

3x - y = 2

Step 2: Rewrite Systems

x - y = 2

Add y to both sides:                    x = 2 + y

Step 3: Redefine Systems

x = 2 + y

3x - y = 2

Step 4: Solve for y

Substitution

Substitute in x:                    3(2 + y) - y = 2Distribute 3:                         6 + 3y - y = 2Combine like terms:           6 + 2y = 2Isolate y term:                     2y = -4Isolate y:                              y = -2

Step 5: Solve for x

Define:                         x - y = 2Substitute in y:            x - (-2) = 2Simplify:                       x + 2 = 2Isolate x:                      x = 0

Determine if x=2 is a solution explain or show your reasoning -2(x-4)=4

Answers

Answer:

Yes, it is.

Step-by-step explanation:

Because -2 times -2 equals 4

Find the equation of a line that is parallel to the line x=-17 and contains the point (-4,1) what is the equation

Answers

Answer:

Step-by-step explanation:

x= - 4

That is a vertical line going through any point whose x value is - 4

A secret code is designed by choosing a letter from the alphabet and then choosing a digit from 0 to 9.
Which equation below correctly represents the probability of choosing the secret code "7Q?"
P(7UQ) = P(7) + P(Q)
P(7UQ) = P(7) P(Q)
P (7nQ) = P(7) + P(Q)
P(7nQ) = P(7) PQ)

Answers

Answer:a

Step-by-step explanation:

Choice 4: P(7∩Q) = P(7) × P(Q)

Explanation in detail:

P(7∩Q) denotes the chance of selecting the secret code "7Q."

If A and B are distinct events, then

P(A∩B) = P(A) × P(B)

Let A be the occurrence of selecting a number between 0 and 9 and

Let B be the occurrence of selecting an alphabet.

A and B are clearly distinct entities.

Therefore,

P(7∩Q) = P(7) × P(Q)

Hope this helps!

i need help can somebody please help me

Answers

Answer:

its 75

Step-by-step explanation:

what is -6/7 in decimal form

Answers

−0.8571428571 is the answer

A six-sided die is rolled 3 times. Each time the die lands on the number 4. Determine the probability for this occurring.

Answers

Answer:

1/6

Step-by-step explanation:

Tell whether the following equation has one, zero, or infinitely many solutions.

2(6 - 2y) = -1(4y - 9)

Group of answer choices

A) Zero solutions

B) Infinitely many solutions

C) One solution

Answers

Answer:

ITs C One solution

Step-by-step explanation:

Two sides are not equal.

can someone pls find the slope and y-intercept ASAP!!!

Answers

Answer:

slope = 2

y -intercept = 3

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

The slope is 2

The y-intercpt is 3

Step-by-step explanation:

The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function f (x) = -16x² + 80x + 224.

How long does it take the rocket to hit the ground?
It takes (?) seconds.​
need asap thank you

Answers

Answer:

t = 7 seconds

Step-by-step explanation:

The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function :

f (x) = -16x² + 80x + 224

We need to find how long does it take the rocket to hit the ground. At that point,

f(x) = 0

[tex]-16x^2 + 80x + 224=0\\\\\dfrac{-16x^2}{16}+\dfrac{80x}{16}+\dfrac{224}{16}=0\\\\-x^2+5x+14=0\\\\-x^2+(7-2)x+14=0\\\\-x^2+7x-2x+14=0\\\\x(-x+7)+2(-x+7)=0\\\\(x+2)(-x+7)=0\\\\x=-2\ \text{and}\ x=7[/tex]

Neglecting -2. Hence, the rocket will take 7 seconds to hit the ground.

PLEASE HELPPPPP MATH

Answers

Answer:

Use the equation 250+25w=400+20w

Step-by-step explanation:

Replace w with one of the answers until you get the right one.

pretty sure its 35 but I don't have a calculator with me so double check

Answer:

After 30 weeks.

Step-by-step explanation:

250 + 25*30 = 1000

400 + 20*30 = 1000

Given the relation y = x2 + 1, if the input is 4, what is the output?

Please answer as soon as possible! tyy

Answers

Answer:

9

Step-by-step explanation:

the answer is 9 i’m pretty sure

If it snows tomorrow the probability is 0.8 that John will practice his trombone if it does not snow tomorrow there is only a 0.5 chance that John will practice suppose the chance of snow tomorrow is 60% what is the probability that John will practice his trombone

Answers

Answer:

0.68

Step-by-step explanation:

Given that :

P(trombone | snow) = 0.8 ;

P(trombone | no snow) = 0.5

P(snow) = 0.6

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(no snow) = 1 - 0.6 = 0.4

Hence,

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(trombone) = (0.8 * 0.6) + (0.5 * 0.4)

P(trombone) = 0.48 + 0.20

P(trombone) = 0.68

help...................

Answers

Answer:

10.63cm

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

(square root of 32)^2+(9)^2=113^2

The square root of 113 is 10.63.

I hope this helps :)

Can someone help on question 2

Answers

Step-by-step explanation:

i think option a is the correct answer

Answer:

692.82 m^2

Step-by-step explanation:

Regular tetrahedrons have four equivalent equilateral triangular faces, so only the side length of one is needed.

In practice, you could find the area of one triangular side and multiply it by 4. This is probably what your teacher wants you to do, but there is another way if you have a calculator...

To make it easier, use the following equation to calculate the surface area of a tetrahedron:

Surface Area = sqrt(3) * a^2           ( "a" represents edge length )

sqrt (3) * 20^2

sqrt (3) * 400

692.82032302 m^2

how do i learn how to do this math ? I don’t know how to do it

Answers

Answer:

Both angles measure 135 degrees.

Step-by-step explanation:

There is an image below showing my work. Sorry about the crinkled paper. You set both equations equal to each other and solve for x. You can then substitute x in for what you got. This will work for either equation. Since the equations are equal you only have to substitute it in for one equation but can do both.

write each number in two equivalent forms as a fraction, decimal, or percent.
0.29
35%
2/5

Answers

Answer:

43t;ouh43

Step-by-step explanation:

55r

What is the y-intercept of a line that passed through the points (1, -7) and (5, -25)?

Answers

Answer:

iii

Step-by-step explanation:

Customers have two options when renting video games from a rental store. Plan A
requires a $5 monthly fee and $1 per video rental. Plan B requires an $8 monthly fee
and $0.75 per video rental. How many video rentals would be required each month for
the plans to cost the same amount?

Answers

Answer:

12 months

Step-by-step explanation:

5$ and 1$ video rental times that by 12 and that gives you $72

$8 and 0.75 cents times 8 is 72 <3

Total number of video rentals is 12 for the plans A and B to cost the same amount.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, it is given that for plan A renting video games required $5 monthly fee and $1 per video rental, Let number of video rentals be x then :

total monthly fees for plan A = 5 + 1x

and similarly for plan B when renting video games required $8 monthly fee

and $0.75 per video rental :

total monthly fees for plan B = 8 + 0.75x  

Now to have total monthly cost same these two equation must be equal :

5+x = 8 + 0.75x

0.25x = 3

x = 12

Therefore, total number of video rentals is 12 for the plans A and B to cost the same amount.

Divide 9 by q, then add 4 to the result

Answers

Answer:

Q/9+4

Step-by-step explanation:

If you have the number for q please say it

Somebody help please . I’ll make you brain list

Answers

Answer:

n=2.56

Step-by-step explanation:

The equation is

1.9+n+n+n+n+n=14.7

1.9+5n=14.7

5n=12.8

n=2.56

Answer:

2.56

Step-by-step explanation:

5n + 1.9 = 14.7

5n = 14.7 - 1.9

5n = 12.8

n = 12.8 / 5

n = 2.56

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