Complete question :
The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable.
Answer:
Dependent variable = Total cost
Independent variable = number of students
Step-by-step explanation:
The total cost equation is :
Total cost, c = cost per ticket * number of tickets
c = 7 * s
c = 7s
The Independent variable also called the predictor variable is the number of students in the scenario described above as it is the variable upon which the total cost relies. It dictates the value of the output or dependent variable. As we vary the value of the Independent variable, number of students, the total cost which is the dependent variable also varies. The dependent variable on the other hand is the predicted value or variable which is controlled by the independent variable. The dependent variable in this case is the total cost, c
Help please I need the signs to these equations. Picture down below
Solve the equation on the interval [0,2pi)
The value of θ within the interval is 210 and 330 degrees
Given the equation;
[tex]2sin^2 \theta = 5sin \theta - 3[/tex]
Let P = sinθThe equation will become;
2P² = 5P - 3
2P² - 5P - 3 = 0
Factorize;
2P² - 6P + P- 3 = 0
2P(P-3) + 1(P -3) =0
2P + 1 = 0 and P - 3 = 0
p = -1/2 and 3
Since P = sinθ
sinθ = -1/2
θ = -30 degres
Since sine is negative in the second 3rd and 4th quadrant
θ = 180 + 30 = 210 degrees
θ2 = 360 - 30 = 330 degrees
Hence the value of θ within the interval is 210 and 330 degrees
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(X+4)(x-3) algebra tiles
Answer:
x^2+x-12
Step-by-step explanation:
x^2-3x+4x-12
x^2+x-12
This equilateral triangle has side lengths of 6 inches and a height of approximately 5 inches. Find the area, given these dimensions.
To find the area of a triangle we use this equation:
[tex]\frac{1}{2} bh\\[/tex]
b= base
h= height
So since we are given the information that the sides are 6 and the height is 5 we simply can plug the information right into the equation:
[tex]\frac{(6)(5)}{2}[/tex]= 15
So the are is 15 inches sqaured, hope this helps :)
Ok I need help what is If X = 8 units, Y = 4 units, and Z = 6 units, what is the volume of the rectangular prism shown above?
HELP
PLZZZ Z DONT GIVE ME A LINK
Answer:
These relationships are realted because the variable is multiplied by ten to get the function.
9cm: 90mm
12 1/4cm: 122.5mm
50cm: 500mm
88.49cm: 884.9mm
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Please help I only got 20 minutes to answer!!!!!!!!!
Answer:
r=c/2π
3/2π
=0.47746482927
Brainlist Pls!
Which of the following equations has a solution x = 4? Select all that apply.
0-2 (32 – 4) = -16
{(100 + 2) = 6
20 - 15x = 6 - 2 (4x + 7)
(90 - 12) +6 = -10
Answer:
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 4) = -16[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Required
Equations with [tex]x = 4[/tex] as a solution
[tex]-2(3x - 4) = -16[/tex]
Divide both sides by -2
[tex]3x - 4 = 8[/tex]
Add 4 to both sides
[tex]3x - 4 +4= 8+4[/tex]
[tex]3x =12[/tex]
Divide both sides by 3
[tex]x = 4[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
Multiply both sides by 2
[tex]10x + 2 = 12[/tex]
Subtract 2 from both sides
[tex]10x + 2 -2= 12-2[/tex]
[tex]10x = 10[/tex]
Divide both sides by 1
[tex]x = 1[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
Open bracket
[tex]20 - 15x = 6 - 8x - 14[/tex]
Collect like terms
[tex]8x - 15x = 6 - 14 - 20[/tex]
[tex]-7x = -28[/tex]
Divide both sides by -7
[tex]x = 4[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Subtract 6 from both sides
[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]
[tex]\frac{1}{3}(9x - 12) =-16[/tex]
Multiply both sides by 3
[tex]9x - 12 = -48[/tex]
Add 12 to both sides
[tex]9x - 12 +12= -48+12[/tex]
[tex]9x = -36[/tex]
Divide both sides by 4
[tex]x =-4[/tex]
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution
Answer: 1st and 3rd
Step-by-step explanation:
Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =
Plz help
Answer:27/41+3/41i
Step-by-step explanation:
Just finished this problem
Answer:
guy above correct via A P E X
Step-by-step explanation:
what is the solution to the systems of equations? equations - 3x-y= -17 , x-y= -13
Answer:
x=1 y=14
multiply x-y=-13 by 3 so the x would cancel out. solve for y
then plug in y to one of the equations to get x
Answer: the answer is x= -2 , y=11
Step-by-step explanation:
First
1: we have to find the answer for x in x-y= -13
2: add y on both sides of the equation
3: we will get x= -13+y
Second
1: Substitute x in 3x-y= -17 with x=-13+y
2: then you will get 3(-13+y)-y= -17
3: multiply 3 with -13 and y
4: you will get -39+3y-y =-17
5: add 3y and -y
6: you will get -39+2y= -17
7: add 39 on both sides of the equation
8: you will get 2y=22
9: divide 2 on both sides
10: you will get y= 11
Third
1: plug 11 for y in x= -13+y
2: then you will get x= -13+11
3: you will x= -2
So x= -2 and y= 11
bev asked 5 friends how many books they each read last month she put her data in a table and found a total number of books read find the mean and the median of the data set determine which of these values are greater PLS HELP this counts as my final grade!!!!!!
Answer:
C
Step-by-step explanation:
The mean is 4 because when finding the average which is mean, was 4. The median is 5, so the answer is 5
Answer:
The number C
Step-by-step explanation:
Its in the next picture
SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?
Also, what is a possible solution to x ≥ −2?
Please answer all of the questions in sentence form.
Answer:
this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open
Step-by-step explanation:
Answer:Closed Circle To the right
You find a piece of wood that is 10.23 cm long and your friend finds on ethat is 17.65 cm long how long would they be if you attached them?
By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.
Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.
Given that,
The length of your wood = 10.23
The length of your friend's wood = 17.65
Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".
In this case,
x = 10.23 cm
y = 17.65 cm.
To find the total length when they are attached,
Add the lengths as
x + y = 10.23 cm + 17.65 cm
Now, calculate the sum:
x + y = 27.88 cm
Hence,
If you attach the two pieces of wood, the total length would be 27.88 cm.
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Plz answer for goodluck
Answer:
It says that most of the data is greater than the mean
Step-by-step explanation:
Answer:
A large mad means many of the points deviate far from the average
Step-by-step explanation:
Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets
Answer:
Third option is correct. Hence, N<5 is the best inequality that represents the number of tickets she can buy with $8
Step-by-step explanation:
question in the picture:
Answer:
D. 191
Step-by-step explanation:
To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse
That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse
tan(25) = 89/x
x = 89/tan(25)
x = 190.86
after rounding, your final answer would be 191 feet.
Which of these functions is not a línear function?
A . Yes, the pre-image and image are both line segments and the line segment had been translated
B . No the pre-image and image are not both line segments
C . No the image shown has not been translated but another transformation has taken place
D . No the translation did not preserve the segment length
Answer:D . No the translation did not preserve the segment length
Step-by-step explanation:
function for the line with a slope of 5 that passes through the point (2, 1)
Answer:
Im pretty sure its y= 5x-9
Step-by-step explanation:
Hope this helps! Have an Amazing day!!
Here it is please make sure it’s right it’s a test
Answer:
B)
Step-by-step explanation:
Will mark brainlest
Answer:
15)
Step-by-step explanation:
i think its that since im guessing that x5 is the length of each side and since triangles have 3 sides so i did 5 x 3 which equals 15
What is the slope of the line graphed below
Answer:
-5
Step-by-step explanation:
Assuming that each unit is 1, then it is rise over run, which is -5/1=-5
Find the area of the given triangles.
Answer: 1125
Step-by-step explanation:
Find the area of the triangle
Answer:
i sont know what those dotted lines are but the area of the whole triangle is 1529.04
Step-by-step explanation:
Im sorry if this is not what your looking for
how do I find the value of a in 30=5a
Answer:
a = 30/5 = 6
Step-by-step explanation:
Answer:
a = 6
Step-by-step explanation:
You need to try to get "a" alone.
So, since the equation shows a is being multiplied by 5, you need to divide it by 5 to get "a" alone.
Whatever you do to one side, you must do the same to the other side.
So basically, you divide both sides by 5 to find "a"
What is the sum of 25 57/100 + 72 9/10 and 362 17/100 + 49 3/10
Answer:
509.94
Step-by-step explanation:
That's the answer!
trust me! Correct me if I'm wrong
don't worry I solved it so many
times and that's the answer
hope it helps you ❤
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first on is 98.47
second one is 411.47
Hop this helps :T
A cube has a surface area of 216 cm square 2.What is the length of each side of the cube?Label it below
Answer:
6 cm
Step-by-step explanation:
the cube has six faces, so each is 216/6 = 36 cm^2
so the side is [tex]\sqrt{36}[/tex]
Please help me with this question
Answer:
The cost per ounce is $0.23
Step-by-step explanation:
Set up fraction:
ounce/cost
15.4/3.59 = 1/x
cross multiply
15.4x=3.59
x=3.59/15.4
x=0.233116883117
x=$0.23
The cost per ounce is $0.23
Answer:
$0.23
Step-by-step explanation:
[tex]\frac{15.4}{3.59} =.23.........[/tex]
$0.23
Can someone help me ASAP
A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?
Answer:
8 dimes
7 quarters
Step-by-step explanation:
Let number of
Dimes = x ; quarters = y
10x + 25y = 255 ___(1)
25x + 10y = 270 ___(2)
From (1)
10x = 255 - 25y
x = (255 - 25y) / 10
x = 25.5 - 2.5y
Put x = 25.5 - 2.5y in (2)
25(25.5 - 2.5y) + 10y = 270
637.5 - 62.5y + 10y = 270
-52.5y = - 367.5
y = 367.5 / 52.5
y = 7
x = 25.5 - 2.5(7)
x = 25.5 - 17.5
x = 8