Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30
Answer:
x = 8
Step-by-step explanation:
Let there are x friends.
The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.
Total cost = $83.30
We need to solve for x. The equation for the scenario is given by :
$2.50x + $4.85x + $24.50 = $83.30
Taking like terms together
$2.50x + $4.85x = $83.30-$24.50
7.35 x = 58.8
x = 8
So, there are 8 friends.
3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :
[tex]3x^3+21x^2+36x=0[/tex]
Taking 3x common.
[tex]3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0[/tex]
x = 3
[tex]x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3[/tex]
Hence, the solution of the given quadratic equation are x = 0, -4 and -3.
Select yes or no to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph.
Answer:
No
No
Yes
Step-by-step explanation:
-1/4 is the only correct solution to the equation represented by the graph.
please help i don’t know this
Answer:
it is the third option
Step-by-step explanation:
you would subtract the 6.4 to the other side of the equation and then you would divide it by -1.1 and you would get 7
What is the cube root of 27x^18?
A)3x^6
B)3x^9
C)9x^6
D)9x^9
Answer:
It’s B
Step-by-step explanation:
just answered question
X is no more than 13
Answer:
x ≤ 13
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
please help i need this done by the next hour
The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
Answer:
1. 9.8 cm
2. 44.5 cm^2
Step-by-step explanation:
1. To find the length of arc AB, we use the formula for the length of an arc
Mathematically, that will be;
theta/360 * 2 * pi * r
theta is the central angle which is 51
r is the radius which is 10 cm
So we have
51/360 * 2 * 22/7 * 10 = 8.9 cm
2. The area of the sector
we use the formula for the area of a sector here,
That is;
theta/360 * pi * r^2
51/360 * 22/7 * 10 * 10
= 44.5 cm^2
Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $36. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
Answer:
30 tiles need to buy for same cost in both store.Step-by-step explanation:
Let x be the number of tiles to buy for same cost in both store.
18+0.69 · n = 1.29 · n,
1.29n -0.69n =18 or
0.6n =18
n =18/0.6=30
Therefore, 30 tiles need to buy for same cost in both store.[Ans]
Answer:
I think you need to cross multiply
The students at Victor's school voted for a new school color. 198 students voted for purple. If
there are 225 students in Victor's school, what percentage of the students voted for purple?
Answer:
88%.
Step-by-step explanation:
To calculate percentage: (198 × 100) ÷ 225
This equals 19800 ÷ 225, which is 88%.
Answer:
88%
Step-by-step explanation:
198/225
=0•88
0•88×100
=88%
Simplify the expression.
3y - 4.6 + 1.3 + 2.1y
Answer:
5.1y-3.3
Explination: none
Answer:
5.1y-3.3
Step-by-step explanation:
I am sorry if its wrong
NEED HELP ASAP!!!!!!!
Answer:
x = 45
Step-by-step explanation:
Find the missing angle first, a line is 180 degrees and for the missing angle there's a line cutting it. The outer angle is 170 so the inner angle is 10.
A triangle equals 180 degrees so:
125 + 10 + x = 180
135 + x = 180
subtract 135 from both sides
x = 45
PLESE HURRY!!! 40 POINTS! The following system of linear equations is solved by graphing them on the coordinate plane. y=2x−2y=−35x+1 Which ordered pair is the best approximation of the solution to the system? (1,0) (1,1) (0,1) (2,1)
Answer:
its 1,0
Step-by-step explanation:
because im 4o3 iq trust me
We want to solve the given system of equations graphically
The estimated solution that we will get is (0, -2)
The given system of equations is:
y = 2x - 2
y = -35x + 1
To solve it graphically, we need to graph both lines on the same coordinate axis, and see where the lines intersect.
The graph can be seen below, there we can see that the lines intersect near the point (0, -2)
Note that this does not coincide with any of the given solutions, which means that one of the two lines must be written incorrectly.
If you want to learn more, you can read:
https://brainly.com/question/17641264
José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
2 2/9 +1 4/9 please help
Answer:
3 2/3
Step-by-step explanation:
In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:
2 2/9 +1 4/9
3 6/9
simplify
3 2/3
What's the slope of (0,5) and (4,2)
WHOEVERY ANSWERS RIGHT IT GETS BRAINIST
Answer:
It is (0,6)
Step-by-step explanation:
Find the x intercept, substitute 0 for y and slove for x
find the y intercept, substitue 0 for x and solve for y
the answer is c (0,6)
can someone help me ‼️
Answer:
A) 6
Step-by-step explanation:
The angle 12x is the same angle as the one below 108 degrees. They are supplementary angles so they add up to 180 degrees. 180-108 = 72, 12x = 72 divide each side by 12, x = 6 :)
what is the total area of the four walls of a rectangular room 12 ft long by 13 ft wide by 9 ft high?
Answer:
your mom
i dunno what else to put here lol
Answer:
Total area of four walls is 450ft
Step-by-step explanation:
First to find area of one wall is lenghth times height 2(12 x 9)
Second to find the area of the two other walls it’s height times width 2(13 x 9)
third add then up and you get 450
If x = -5, which inequality is true?
A. -4 - 3x > 7
B. -2 - 6x 14
D. 7 - x < 6
Answer:
A
Step-by-step explanation:
Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs
needing help asap for anyone that knows!!
Answer:the forth answer is correct
Step-by-step explanation:
y+1= 6/11(x+4) convert to standard form please WILL GIVE BRAINLIEST
your answer is:
6x - 11y = -13
~☆
10 per tee shirt and no shipping cost
Answer:
5,10,15,20,25
Step-by-step explanation:
I believe this is correct because, If you find number 1 on the x axis and find 5 on the y axis, they meet up so therefore 1 shirt cost 5 dollars and so on.
Can someone help me on this aswell lol
Answer:
y = [tex]\frac{1}{2}[/tex]x - 2
Step-by-step explanation:
y = mx + b (m is the slope and b is the y-intercept)
Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex] Given points: (-6, -5) (-4, -4)
[tex]\frac{-5+4}{-6+4}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex]x + b
The y-intercept is -2
y = [tex]\frac{1}{2}[/tex]x - 2
Please help me 9th grade math
Answer:
this system has no solutions
Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?
Hello!
[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.
⠀⠀⠀⠀
Equation have Infinitely many Solutions⠀⠀⠀⠀
______________________
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➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
⠀⠀⠀⠀
When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
⠀⠀⠀⠀
SolutiOn :➠ - 3 ( x - 14 ) + 9x = 6x + 42
➠ -3x + 42 + 9x = 6x + 42
Now, we will bring the variable on left hand side and constants on right hand side
➠ -3x + 9x - 6x = 42 - 42
➠ -9x + 9x = 42 - 42
➠ 0 = 42 - 42
➠ 0 = 0
As we can see the equation have end with a zero the equation have indefinitely many solutions
➠ Indefinity many solutions
━━━━━━━━━━━━━━━━━
Find the slope of the line that is parallel and perpendicular to the given line.
y = 1/3x + 5
m ll =
⊥ =
Answer:
|| slope= 1/3
⊥ slope=-3
Step-by-step explanation:
The line is y=1/3x+5
Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)
That means that the || slope will be 1/3.
Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)
Which means to solve for the slope perpendicular, use this equation
1/3m=-1
multiply by 3 on both sides
m=-3
So that means the ⊥ slope will be -3.
hope this helps!
Answer:
[tex]\frac{1}{3}[/tex] and - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Parallel lines have equal slopes, thus
[tex]m_{parallel}[/tex] = [tex]\frac{1}{3}[/tex]
Give a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3
The graph of function f is shown. Function g is represented by this equation. g(x) = 2(2)x Which statement correctly compares the two functions? A. They have different y-intercepts and different end behavior. B. They have the same y-intercept but different end behavior. C. They have different y-intercepts but the same end behavior. D. They have the same y-intercept and the same end behavior.'
The graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function f and a function g(x) is:
[tex]\rm g(x) = (2)2^x[/tex]
If draw a graph of g(x) on the coordinate plane, it will be a exponential function.
For y intercept of g(x):
x = 0,
y = 2
But graph of a function f and graph of a function g(x) has same end behavior.
Thus, the graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
City Bank offers a 4.75% simple
interest rate, while First National
offers 3.9%. If Tom wants to set
up a new account with $500. how
much more money will he earn in
Interest at City Bank over First
National after 12 years?
Answer:
He will earn $51 more
Step-by-step explanation:
Let us compare the amounts he will earn in both banks
Mathematically, simple interest is;
I = PRT/100
Where P represents principal, R represents rate and T represents time
For Citibank, we have
I = (500 * 4.75 * 12)/100 = $285
For National bank
I = (500 * 3.9 * 12)/100 = 234
The difference between the amount of money earned in both banks will be;
285-234 = 51
Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 20 mph, and Juanita rides at a speed of 20 mph, how far apart will they be in 2 hours?
Answer:
Concept: Mathematical Analysis
They go in opposite directions They start at the same point, let's define that as (0,0) on the ordinary differntiable x-y axis Hence Tom can ride 20 units left in one hour and Juanita can ride 20 units right in one hour.We want to know the distance they are at the end of 2 hours So we set up the equation y= 20(x)Let x be the hours and y be the distance So 20×2=40 miles At the end of 2 hours they will be 40 miles apart assuming constant rate of change and a starting point of (0,0)Solve for k.
Give an exact answer.
1/4k = 3(-1/4k+3)
Answer:
k=9
HOPE THIS IS CORRECT!
Answer:
k =9
Step-by-step explanation:
I'm just built different