There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?

Answers

Answer 1

Answer: There are 37 students in the drama club and 27 students in the drama club.

Step-by-step explanation:

Let x= number of students in the drama club.

y= number of students in the yearbook club.

As per given, we have

x+y=64  

x=10+y    

A system of linear equations that represents this situation:

x+y=64   (i)

x=10+y     (ii)

Put value of x from (ii) in (i)

10+y+y=64

⇒ 2y= 54

⇒ y = 27  [Divide both sides by 2]

Put value of y in (ii) , we get

x= 10+27 = 37

Hence, there are 37 students in the drama club and 27 students in the drama club.

Answer 2

There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?

74


Related Questions

Which represents the value of Point D on the number line?
A
B
С
D
-2
0
2
-4
-(-3)
O-(-4)

Answers

Answer:

c

Step-by-step explanation:

your welcome

Answer:

D

Step-by-step explanation:

Please Rate 1-10, Then also add what your favorite one is.

Answers

Answer:

first one

Step-by-step explanation:

first one 10/10

2nd ome 9.6/10

I like the first one better

Answer:

2 one is my favorite

Step-by-step explanation:

1 , 9

2, 10

3, 8

4, 5

5, 1

Complete the missing value in the solution to the equation.

Answers

Answer:

x = 0

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

6x + 7y = 4x + 4y

y = -4

Step 2: Solve for x

Substitute:                               6x + 7(-4) = 4x + 4(-7)Multiply:                                   6x - 28 = 4x - 28Add 28 on both sides:            6x = 4xSubtract 4x on both sides:     2x = 0Divide both sides by 2:           x = 0

Answer:

The correct Answer to this is 6

Step-by-step explanation:

I also had this on Khan and got it right many times.

Help plz ASAP
DONT USE FOR POINTS PLZZ
(10 points)

Answers

The one on top right
It would be C (the one on the top right)

Please help me with this

Answers

Answer:

no she does not have enough floir for baking

Answer:

Since the amount of flour required is more than amount purchased, Karina does not have enough flour to make the bread.

Step-by-step explanation:

[tex]2\frac{2}{3}[/tex]= [tex]\frac{8}{3}[/tex]

[tex]2\frac{5}{7} = \frac{19}{7}[/tex]

Cross multiply the 2 values and compare

[tex]\frac{8}{3} and \frac{19}{7}[/tex]

8x7 and 19x3

56<57

3 James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is
closest to one side of the poster board in inches?​
a. 34 in.
b.8 in.
c. 6 in.
d.30 in.
I NEEP HELPP FAST

Answers

Answer:

8 in

Step-by-step explanation:

Area of a square = l×w

Since it is a square then l and w are equal to each other.

So we can instead just say l^2 = A

l^2 = 68.2

l = square root of 68.2

l = 8.26

Suppose that a phone that originally sold for $800 and loses 3/5 of its value each year after it is released.
1. After 1 year, what is the value of the phone?
2. After 2 years, what is the value of the phone?
3. Write an equation for the value of the phone, p, t years after it is released.

Answers

Answer:

1 st year = $320

2nd year $128

320p - 192t = $128

Step-by-step explanation:

1. Simplify:
4(4y-7y^{2})-9(5y+2)

2. Simplify:
24 – 4(5y – 6z) + 3y – 7z

Answers

Answer:

1)-

How to solve your question

Your question is

4(4−72)−9(5+2)

4(4y-7y^{2})-9(5y+2)4(4y−7y2)−9(5y+2)

Simplify

1

Rearrange terms

4(4−72)−9(5+2)

4({\color{#c92786}{4y-7y^{2}}})-9(5y+2)4(4y−7y2)−9(5y+2)

4(−72+4)−9(5+2)

4({\color{#c92786}{-7y^{2}+4y}})-9(5y+2)4(−7y2+4y)−9(5y+2)

2

Distribute

4(−72+4)−9(5+2)

{\color{#c92786}{4(-7y^{2}+4y)}}-9(5y+2)4(−7y2+4y)−9(5y+2)

−282+16−9(5+2)

{\color{#c92786}{-28y^{2}+16y}}-9(5y+2)−28y2+16y−9(5y+2)

3

Distribute

−282+16−9(5+2)

-28y^{2}+16y{\color{#c92786}{-9(5y+2)}}−28y2+16y−9(5y+2)

−282+16−45−18

-28y^{2}+16y{\color{#c92786}{-45y-18}}−28y2+16y−45y−18

4

Combine like terms

2)

−17y+17z+24

See steps

Step by Step Solution:

STEP1:Equation at the end of step 1

((24 - 4 • (5y - 6z)) + 3y) - 7z

STEP2:

Final result :

-17y + 17z + 24

−282+16−45−18

-28y^{2}+{\color{#c92786}{16y}}{\color{#c92786}{-45y}}-18−28y2+16y−45y−18

−282−29−18

-28y^{2}{\color{#c92786}{-29y}}-18−28y2−29y−18

Solution

−282−29−18

Michael charges a flat rate of $25 plus $20 per hour, x, to service air conditioners. The total cost Michael charges is f(x). [3 points]
A) What does the independent and the dependent variables represent?
Independent __________________________________
Dependent ____________________________________
B) Write a function rule in function notation for the total cost of his services, for x hours.
Function Rule _____________________________

Show work and answer throughly

Answers

Part (A)

Answers:

Independent Variable = x = number of hours

Dependent Variable = f(x) = total cost in dollars

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

Explanation:

The independent variable is always x. When dealing with time, the time value is often the independent variable as time does its own thing. It marches on without any influence or external factors to change it.

On the other hand, the total cost is affected by time. The more time goes on, the higher the total cost will be. We say the total cost is dependent on the time. The dependent variable is always y, which can be replaced with f(x). In short, y = f(x).

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

Part (B)

Answer:

f(x) = 20x + 25

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

Explanation:

The flat rate of $25 represents the initial cost. This is the cost if x = 0 hours of work is done. So this is the cost to get in the door, so to speak. You can think of this as the parts cost (from "parts and labor").

On top of that initial cost is the cost of $20 per hour. This can be thought of as the labor cost. If a job takes 1 hour to do, then we add on $20 to the flat rate of $25. If it takes 2 hours, then we add on 2*20 = 40 dollars. And so on. For x hours, we add on 20x dollars. Whatever x is, we multiply by 20.

So overall we have a flat rate of $25 and a variable rate of 20x dollars giving a total cost of f(x) = 20x+25

As a check, plugging x = 0 should lead to f(x) = 25

Plugging x = 1 should lead to f(x) = 20+25 = 45

And so on.

AHHSJDNFBCNNCJAKSMCM

Answers

Y=3/2x+3
Im not sure if im correct

Write an equation that is perpendicular to the line 8x-4y=12 and pass through the origin

Answers

Answers


Explanation

So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this

8x-4y=12
-8x. -8x

-4y=-8x+12
/-4. /-4

Y=2x-3

So now that we have the equation in Y=Mx+b. The problem still isn’t done because it’s asking us to set up an equation that’s perpendicular. Which means the slope becomes the opposite

So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.

So now that the perpendicular line is

Y=-1/2x or y=-1/2x +0

I hope I explain this well!

Please mark as Brainliest

Which equation matches the graph?

Answers

Answer:

A

Step-by-step explanation:

A game decreased in price by 1/2
After the reduction it was priced at £23.
What was the original price of the game?

Answers

Answer:

23 x 2 = 46

the answer is 46 pounds

Sarah adds 3 to it, then doubles it and gets an answer of 52.4. What was the original number?

Answers

Answer: 6

Step-by-step explanation: 6 is my answer

an elevator ride down 65 stories

Answers

Answer:

Question isn't clear

Step-by-step explanation:

(-7x⁵+14-2x)+(10x⁴+7x+5x⁵)​

Answers

Answer:

− 2 x^5 + 10 x^ 4 + 5 x + 14

Step-by-step explanation:

The area of a square garden is 1/121 km squared. How long is each side?

Answers

Answer:

[tex]hello[/tex]

[tex]the \: area \: of \: square \\ \: garden \: = 1/121 \: {cm}^{2} [/tex]

,[tex]sides = ?[/tex]

[tex]now[/tex]

[tex]area \: = \ {sides}^{2} \\ [/tex]

[tex]=>1/121 \: = \: {sides}^{2} \\ \\ =>\sqrt{1/121} \: = \: sides \\ \\=>1/11 cm = \: sides[/tex]

[tex]therefore, \: sides \: of \: the \: \\ squre \: is \: 1/11cm[/tex]

Have a safe Life

Identify the vertex of g(x) = (x + 14)? - 8.
(-14, -8)
(-14,8)
a.
b.
G
d.
(14, -8)
(14, 8)

Answers

Do you think you can send a picture of the problem I’m not really understanding

pls write the steps u did​

Answers

Answer:

They aren't parallel because the intersections with Via La Playa do not make equal alternate interior, alternate exterior angles, or corresponding angles.

Step-by-step explanation:

Angle a is 140 degrees since it and 40 degrees are supplementary. The angle supplementary to 130 degrees is 70 degrees. All of the vertical angles are congruent.

Opening Exercise
Use mental math to solve the following:
Number String
100% of 180 =
25% of 180 =
-75% of 180 =
37.5% of 180 =

Answers

Answer:

100% of 180 = 180

25% of 180 = 45

-75% of 180 = -135

37.5% of 180 = 67.5

Step-by-step explanation:

I looked them up on an app so I hope its right!

Item 3
Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t is measured in seconds. Which of the following gives the rate at which the area covered by the oil is changing at time t=10 ?

Answers

Answer:

By an online search, i found that the options are:

Option A. A(10)

Option B. A(11)-A(9)

Option C. A(10)/10

Option D. A’(10)

Let´s start by defining the concept of a derivative.

When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.

Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.

Particularly, A´(10), will be the rate of change at t = 10.

Then the correct option is: Option D. A´(10)

PLEASE HELP ASAP!!! 10 POINTS!!!! AND BEST ANSWER GETS BRAINLIEST!!!!

Which expression is modeled by this arrangement of tiles?

30 positive tiles are divided into 3 sets of 10 positive tiles.
30 divided by (negative 30)
30 divided by (negative 3)
30 divided by 3
30 divided by 30

Answers

30 divided by 3. Their are 3 sets of ten by 30 positives

Answer:

30

Step-by-step explanation:

PLEASE HELP!!! ILL GIVE BRAINLIEST RIGHT ANSWERS ONLY

Answers

Answer:14

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(x2-x1) = (6 - -4)

= 10

(y2-y1) = (2 - -2)

= 4

We square the numbers and add

10^2

= 100

4^2

= 16

100 + 16 = 116

Now we square root 116

[tex]\sqrt{116}[/tex]

= 2[tex]\sqrt{29}[/tex]

Does the table represent a proportional or a nonproportional linear relationship?​

Answers

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

A jar is filled with 70 cubes. There are 15 red cubes, 9 green cubes, 21 yellow cubes, 20 purple cubes, and 5 orange cubes. Write the fraction of the total represented by each color and order them from least to greatest. (Please give a clear explanation but if you can't that's fine.)

Answers

This would be algebra 1 or 2?

Ross needs buy a countertop for a laundry room. He calculated the area to be 12 square feet. The actual area is 11.8 square feet. What is Ross's percentage error?

Answers

Answer:

1.69%

Step-by-step explanation:

plug it into a formula

Multiply 0.0169 by 100 to make it into a percent.

0.0169 * 100 = 1.69%

Ross's percentage error is 1.69%.

Answer:

b

Step-by-step explanation:

its not a and not the other two

what is it????????? s

Answers

3.25 meters

First find the rectangle area by multiplying the dimensions (1*2.5)
Next take the bottom number and subtract 2.5 from it to find only the triangle length (1.5)
Next multiply the width and length of the triangle (1.5*1) and divide by 2 (.75)
Add them together
3.25

someone please please help
me i only have a few minutes left !!!

Answers

Answer:

5 8/15 I rly hope this helps man

Which data set matches the line plot?

Answers

Answer:

The answer is below

Step-by-step explanation:

The Correct data set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2.

The Correct option is (B)

What is Box- plot?

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

As, given from the box plot

1/4 - 1 cross

1/2 - 2 cross

3/4- 0 cross

1 - 4 cross

1  1/2 - 0 cross

1 1/4 - 2 cross

1 3/4 - 0 cross

2- 6 cross

So, the correct set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2

Learn more about Box- plot here:

https://brainly.com/question/1523909

#SPJ2

A light-year is a unit used to measure large distances in space. One light-year is approximately equal to 5.88 trillion miles. On a map of the Milky Way Galaxy, the scale is 1 inch:70 light-years. If two stars on the map are 19 inches apart, about how far apart are they in the galaxy?

Answers

Answer:

[tex]7.8204\times 10^{15}\ \text{miles}[/tex]

Step-by-step explanation:

In the map the scale is

[tex]1\ \text{inch}=70\ \text{light-years}[/tex]

So

[tex]19\ \text{inches}=19\times 70=1330\ \text{light-years}[/tex]

In miles

[tex]1\ \text{light-year}=5.88\times 10^{12}\ \text{mi}[/tex]

[tex]1330\ \text{light-years}=1330\times 5.88\times 10^{12}=7.8204\times 10^{15}\ \text{miles}[/tex]

The galaxies are [tex]7.8204\times 10^{15}\ \text{miles}[/tex] apart.

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