A drama class has a total of 35 students the number of females is 13 less than the number of males. How many males and how many females are in the class

Answers

Answer 1

Subtract the difference of girls and boys from total kids:

35 -13 = 22

Divide 22 in half:

22/2 = 11


number of females = 11

Number of males = 11 + 13 = 24

Answer 2

Answer:

24 males, 11 females

Step-by-step explanation:

Solved with equations:

m = males, f = females

The equations:

[tex]m+f=35\\m-f=13[/tex]

Add the two equations:

[tex]2m=48[/tex]

[tex]m=48/2=24[/tex] males

Number of females:

[tex]24+f=35\\f=35-24\\f=11[/tex]

Hope this helps


Related Questions

Help me with this question please

Answers

Answer:

A) D) F)

Step-by-step explanation:

A) Since the graph is 10x10, and there are 10 seasons, it makes sense for A) to be an option

D) There is a total of 50 values that will be on the verticle axis, which seems like a fair number when the highest value is 37

F) (Season 8, 30 average points per game)

Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft

Answers

so, to find the measure of an src length we use the formula

angle / 360 * 2 pi r

so, if we plug it in, it is

85 / 360 * 2 pi 4


that equals 17 pi / 9 ft^2

that is the arc length.


to find the perimeter of the sector ( a sector is j the region w the arc) add the two radi as well as the newly found arc length

that should be 4 + 4 + 17 pi / 9



this equals roughly 13.9341 ft^2

Please help with this as soon as possible. Assignment due tomorrow!!

Answers

1 - transversal is RS , angle is CORRESPONDING
2 - transversal is BA , angle is ALTERNATE INTERIOR
3 - transversal is RS , angle is CORRESPONDING
4 - transversal is TU , angle is ALTERNATE EXTERIOR
5 - transversal is TU , angle is ALTERNATE INTERIOR
6 - transversal is CD , angle is ALTERNATE EXTERIOR
7 - transversal is TU , angle is ALTERNATE EXTERIOR
8 - transversal is TU , angle is CORRESPONDING
9 - transversal is AB , angle is ALTERNATE INTERIOR
10 - transversal is CD , angle is ALTERNATE INTERIOR
11 - transversal is RS , angle is CORRESPONDING
12 - transversal is TU , angle is CORRESPONDING

HI IM GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN AND HELP

Answers

Answer:

∠FDE or ∠GDA

Step-by-step explanation:

The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.

Here, in this diagram, there are 2 adjacent angles for ∠FDG :

∠FDE∠GDA

A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.

a. true
o
b. false

Answers

Answer:

false

Step-by-step explanation:

11. Graph.
y - 2 = -2 (x + 2)

Answers

Answer:

y=-2x

Step-by-step explanation:

should look like a straight line, that is going up to the left. crossing (0,0) and (1,-2)

Write this percentage as a fraction in its simplest form. 50 %

Answers

Answer:

1/2

Step-by-step explanation:

50/100 = 5/10 =1/2

in it's simplest form

;)

help me with this question please!!!!

Answers

Answer:

i believe its the second

Step-by-step explanation:

so sorry if im wrong

I believe it’s the second option

What is the probability of rolling an odd number or rolling a 2 on a six sided die? *
1/6
5/6
1/3
1/2
2/3
Guaranteed

Answers

Answer: 2/3

Step-by-step explanation:

First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.

Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.

Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.

Two friends each had an auto loan of $20,000. One was repaid at
8% in 3 years at about $625 per month, and the other at 8% in 5
Years at about $405 per month. The total of the payments for the 5-year loan is how much more than the total for the 3-year loan?

Answers

Answer:

1,800 more

Step-by-step explanation:

12 × 3 = 36 months

$625 × 36 = $22,500

12 × 5 = 60 months

$405 × 60 = $24,300

$24,300 - $22,500 = $1,800

the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.

Find h(j+1) if h(x)=4x² + 3x - 2

Answers

Answer:

  h(j+1) = 4j² +11j +5

Step-by-step explanation:

A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.

__

For function ...

  h(x) = 4x² +3x -2

The value of h(j+1) is ...

  [tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]

This is slightly urgent. Does anyone know how to cross multiply and divide 1/5 and 20/x? It would look like this if you need the equation.

1/5 * 20/x​

Answers

Answer:

1/5 * 20/x. first do 1× x then do 5×20 and you will get 1x/100

Step-by-step explanation:

sorry this is all i know

find the value of x
50°
6
X
Not drawn to scale

Answers

Answer:

Hence option C is correct...hope this helps you:)

If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether

Answers

Answer:

180°

Step-by-step explanation:

Since a sprinkler rotates 90°, pauses,and then rotates another 90°

So, here total degrees be like

= 90° + 90°

= 180°

hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.

Find the height of the triangle. Round the answer to one decimal place.

Answers

Answer:

x = 6.4

Step-by-step explanation:

Taking the sin ratio of the angle :

sin 40° = x / 100.64 = x / 10x = 0.64 × 10x = 6.4

Leon has a piece of cheese shaped like a triangular prism that he needs to wrap in plastic wrap. a triangular prism. the triangular base has a base of 4 inches and height of 3 inches. the height of the prism is 7 inches. what is the minimum amount of plastic wrap that he needs to cover the entire piece of cheese? 42 inches squared 84 inches squared 96 inches squared 108 inches squared

Answers

The minimum amount of plastic wrap needed to cover the entire piece of cheese is : 84 squared inches.

What is a triangular prism?

A triangular prism is a solid geometrical shape made of three rectangles and two triangles.

Analysis:

base of triangle = 4 inches, height of triangle = 3 inches, length of rectangles = 7 inches

Total surface area of the triangular prism = area of two triangles + plus area of two slant rectangles + area of 1 straight face rectangle.

for the slant rectangle, the width of the rectangle, half the base of the triangle and the height of triangle form right- angled triangle using Pythagoras to solve for the width of the rectangle  we have

[tex]l^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]

l = [tex]\sqrt{13}[/tex] = 3.6

Total surface area = 2(1/2bh) + 2(l x b) + L x B

                               = 2 ( 1/2 x 2 x 3) + 2( 7 x 3.6) + 7 x 4 = 84.4 = 84 squared inches.

in conclusion, the amount of plastic needed is 84 inches squared.

Learn more about triangular prism: brainly.com/question/1284982

#SPJ4

WILL GIVE BRAINLIEST!!!!
Which of the following is an example of an exponential function?

f(x) = 4x^3 + 2x^2 – 3x + 9

g(x) = log2(x)^3

h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1

p(x) = 500(1.02)^x

Answers

Exponential functions are known to increase geometrically. An example of exponential function is  p(x) = 500(1.02)^x

Exponential functions

Exponential functions are known to increase geometrically. The standard exponential function is given as:

y = ab^x

a is the base

x is the exponent

From the given options, the function written in this form is

p(x) = 500(1.02)^x. Hence an example of exponential function is

p(x) = 500(1.02)^x

Learn more on exponential function here: https://brainly.com/question/12940982

#SPJ1

The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.

Answers

Answer:

Number of different options for Ms. Garcia are

3 * 2 * 8 = 48

So 48 options

Step-by-step explanation:

There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)

One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job

Answers

Answer:

20 hrs

Step-by-step explanation:

t = third worker

1 / ( 1/20 + 1/15 + 1/t)  = 6

1 = 6/20 + 6/15 + 6/t

3/10 = 6/t

t = 20 hrs    

The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

7 ft ×6 ft

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W ft respectively.

Form 2 equations using the given information:

LW= 42 -----(1)

L= 3W -11 -----(2)

Substitute (2) into (1):

(3W -11)(W)= 42

Expand:

3W² -11W= 42

3W² -11W -42= 0

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Applying quadratic formula:

[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]

[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]

[tex]W= \frac{ 11± 25}{6} [/tex]

W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)

Substitute W= 6 into (1):

L(6)= 42

L= 42 ÷6

L= 7

Thus the dimensions of the rectangle is 7 ft ×6 ft.

A kite has a part of a diagonal measure of 2.7 in and another part of 1.4 in find the area of the entire kite

Answers

Answer:

1.89 inch²

Explanation:

[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]

Here given:

diagonal 1: 2.7 inchdiagonal 2: 1.4 inch

Find the Area:

[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]

Tell whether a triangle with the side lengths 65 feet, 72 feet, and 97 feet is a right triangle.

Answers

Answer:

when the sum of the squares of the sides are equal to the square of the hypotenuse

Step-by-step explanation:

we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.

97² = 65² + 72²

97² = 97²

it is a right triangle

Many simple quadratic equations have two solution( one positive,one negative)but there is one simple quadratic equation that has only one solution.what is the equation and what is its solution?

Answers

Answer:

The answer is ax² + bx + c = 0

Step-by-step explanation:

1. Use the function f (x) to answer the questions:

f(x) = 2x^2 − 3x − 5

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

I promise to give braInliest to the correct answer.

Answers

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?

Answers

Answer:

4 litres.

Step-by-step explanation:

By proportion that would be:

1.5 * 8/3

= 12/3

= 4 litres.

Need help please answer asap

Answers

#13

x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8

Option D

#14

.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴

Answer:

    13. (4) -x² + 4x - 8

    14. (3) a⁴ + 2a²b² + b⁴

Step-by-step explanation:

Question 13

x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8

Question 14

(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴

PLSS HELPP
Question 13 of 40
-
-
If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).

Options:

A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13

Answers

Answer:

[tex](f - g)(x) = x^2 + 4x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]

[tex]= 2x^2 -5 -x^2 +4x+8[/tex]           ----------> distribute

[tex]= x^2 +4x +3[/tex]  ------------> combine like terms

Therefore, Option B is the correct answer.

what is the measure of the angle in degrees

Answers

Answer:

35°

Step-by-step explanation:

7π=210°

so I assume you just divide 210° by 6 and that comes out to 35°

I HOPE this helps!

Without using a calculator, determine the value of: sin 60° x tan30° sec45° ​

Answers

hey there !

We know that ,

Sin 60° = √3/2

Tan 30° = 1/√3

Sec 45° = √2

Now ,

Sin 60° tan 30° sec 45° = √3/2 x 1/√3 x √2

=> √2/2

Hope this helps you.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I've used 'unit triangles' to calculate various trig values without a calculator at all!

Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.

I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.

Please give comments if you need further explanation from me!

Best of luck, Kenny!

Why is cereal is packaged in rectangular boxes?

Answers

Answer:

A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.

Step-by-step explanation:

Try writing this on your own words if you want :)

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