Answer:
y = 9(2 - x)/4
Step-by-step explanation:
1.) Subtract 9x from both sides.
4y = 18 - 9x
2.) Divide both sides by 4.
y = 18 - 9x/4
3.) Factor out the common term 9.
y = 9(2 - x)/4
My words:
Hope this helps you and let me know if you need help again, also have a blessed day or night, also could I have brainliest for this?
The y intercept of the equation of the line 4y+9x=18 is 4.5.
What is defined as the y-intercept of the line?The point at which the graph intersects this same y-axis is known as the y-intercept. Finding the intercepts of any function of the form y = f(x) is critical when graphing. A function can have one of two types of intercepts. They are recognized as the x and y intercepts. An intercept of the a function is the point at which the function's graph intersects the axis.For the given question,
The equation of the line is given as;
4y+9x=18
Write the equation in slope intercept form.
y = mx + c
Where, m is the slope and c is the y intercept.
4y = -9x + 18
y = -9x/4 + 9/4
y = -9x/4 + 4.5
Comparing with the standard form, y intercept is found as 4.5.
Thus, the y intercept of the equation of the line 4y+9x=18 is 4.5.
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Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?
Answer:
27 + 6x = 8.25x
Number of movies (x) = 12
Step-by-step explanation:
Given that:
VIP membership :
Membership fee = $27 per year
Amount per movie = $6
Hence ;
Membership fee + (amount per movie * number of movies)
27 + 6x - - - (1)
Non member :
Amount paid per movie = $8.25
amount per movie * number of movies)
8.25x - - (2)
Let Numbe of movies = x
In other to pay the same amount of money :
Equate (1) and (2)
Equation :
27 + 6x = 8.25x
8.25x - 6x = 27
2.25x = 27
X = 12 movies
De acuerdo con una encuesta se determino que en una region hay igual numero de personas lic en administracion comercio servicio de salud y servicio municipal ademas se encontro que 35% de los administrativos 25% de los comerciantes 20% de los servidores de salud y 15% de servicio municipal son mujeres cual es la probabilidad de que una mujer escogida al azar del grupo sea administradora
Answer:
La probabilidad de que una mujer sea administradora es de 0,35
Step-by-step explanation:
Sean A B, C y D los eventos de las mujeres administrativas, comerciantes, trabajadoras de salud y proveedoras de servicios municipales.
Sus probabilidades están dadas por
P (a) = 35% = 0,35
P (b) = 25% = 0,25
P (c) = 20% = 0,2
P (d) = 15% = 0,15
Como los eventos son independientes, la probabilidad conjunta sería
P (B∩C∩D) = P (D) * P (B) * P (C) = 0.25 * 0.2 * 0.15 = 0.0075
P (A / B∩C∩D) = P (A∩B∩C∩D) / P (B∩C∩D)
= 0,35 * 0,0075 / 0,0075 = 0,35
Por lo tanto, la probabilidad condicional de obtener la mujer administradora es la misma que la probabilidad individual de obtener la administradora, ya que los eventos son independientes.
La probabilidad de que una mujer sea administradora es de 0,35
English
Let A B, C and D be the events of the women administrative, merchants, health workers and municipal services providers.
Their probabilities are given by
P (a) = 35% = 0.35
P (b)= 25% = 0.25
P (c) =20% = 0.2
P (d) = 15 % = 0.15
As the events are independent then the joint probability would be
P (B∩C∩D)= P(D) * P(B)* P (C) = 0.25* 0.2*0.15= 0.0075
P(A/B∩C∩D) = P(A∩B∩C∩D)/P(B∩C∩D)
= 0.35*0.0075/ 0.0075= 0.35
Therefore the conditional probability of getting the administrator woman is the same as the individual probability of getting the woman administrator as the events are independent.
Probability of woman administrator is 0.35
I need help!
Comepare each pair of fractions using Greater than sign , less than sign and equal to.
Answer:
<< >> >=>= =>=< >><< ><<< >>==
Step-by-step explanation:
Answer:
>,>,>,>
>,>,>,<
<,>,<,>
>,<,<,<
=,=,=,<
Please help its7to10 it’s easy but I’m lazy
Answer:
sure
Step-by-step explanation:
Jae is constructing an open box from a piece of cardboard that is 9 in. Wide and 12 in. Long. Jae cuts squares of equal size from each corner of the cardboard, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x.
Answer:
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
Step-by-step explanation:
Geometrically speaking, the volume of the open box ([tex]V[/tex]), measured in cubic inches, is described by the volume of a right parellelepiped. That is:
[tex]V = w\cdot l \cdot h[/tex] (1)
Where [tex]w[/tex], [tex]l[/tex] and [tex]h[/tex] are the width, length and height of the open box, respectively, measured in inches. Please notice that width of the open box is the width of the piece of cardboard ([tex]w'[/tex]), measured in inches, minus two times the side of the cut squares ([tex]x[/tex]), measured in inches, length of the open box is the length of the piece of cardboard ([tex]l'[/tex]), measured in inches, minus two times the side of the cut squares and the height of the open box is the side of the cut squares. That is:
[tex]w = w' -2\cdot x[/tex] (2)
[tex]l = l' - 2\cdot x[/tex] (3)
[tex]h = x[/tex] (4)
By applying (2), (3), (4) in (1), we expand and simplify the volume function:
[tex]V = (w'-2\cdot x)\cdot (l'-2\cdot x)\cdot x[/tex] (5)
If we know that [tex]w' = 9\,in[/tex] and [tex]l' = 12\,in[/tex], then the equation above is:
[tex]V = (9-2\cdot x)\cdot (12-2\cdot x)\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-24\cdot x-18\cdot x+4\cdot x^{2})\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-42\cdot x +4\cdot x^{2})\cdot x \,\,\,[in^{3}][/tex]
[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex]
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
Simon wants to build a cube-shaped storage container that holds 125 cubic feet of water for some frogs he recently purchased.Using the formula, V=s3, where represents the volume of the container and represents its side length, find the length of one side of the container.
Answer:
Length of one side of the container = 5 feet
Step-by-step explanation:
Given:
V = s³
Where,
V = volume of the container
s = side length of the container
V = 125 cubic feet
Find s?
V = s³
125 = s³
Find the cube root of both sides
3√125 = 3√s³
5 = s
s = 5 feet
Length of one side of the container = 5 feet
There were 5 boys for every 8 girls at Foster High School last year. If there were 390 students at the school, how many were girls and how many were boys?
Answer:
it would be 150 boys and 240 girls
Step-by-step explanation:
PLEASE help me I’m failing !! Leonard wants to buy some snacks at the FFA snack machine. He has $5.00 on
him and he wants to buy 2 beef sticks (.50 apiece), 2 crackers and cheese (.75
apiece) and 2 chocolate milks ($1.00 apiece). How much change will he get back?
Answer:
He will have 0.50 chage back
Step-by-step explanation:
Answer:
.50 cents
Step-by-step explanation:
2 beef sticks price will add to $1. 2 crackers of cheese add to $1.50. And 2 chocolate milks add to $2. Now add them all and you will get .50 cents
PLLLLSSS HELLPP
Use the substitution method to solve the system of equations.
8x + 5y = 9
y = x + 7
Answer:
point form: (-2,5)
Step-by-step explanation:
8x + 5y = 9
y = x + 7
sub. y into the first one
8x + 5(x + 7) = 9
8x + 5x + 35 = 9
13x + 35 = 9
solve for x
13x = -26
x = -2
solve for y
y = x + 7
y = -2 + 7
y = 5
Answer: I believe the answer would be (-2, 5) Hope this helped!
What are three inequalities equal to 15x+20y=150?
Answer:
1. 3x+4y=30
2. 30x+40y=300
3. x+4/3y=10
Step-by-step explanation:
Solve each proportion.
5/2=6/x
Wat is x
Answer:
12/5
Step-by-step explanation:
5/2 = 6/x
in order to solve for x, you can do cross multiplication hence,
5x = 6(2)
x = 12/5
Answer:
12/5
Step-by-step explanation:
5/2=6/x
5x=12
X=12/5.
So the answer is 12/5
what is 2² of 36
you can use google or a calculator
it's tooo easy
answer -1296
Last one plsssssssssss help
solve for n in the proportion. n/40=27/36. n=?
Answer:
n=30
Step-by-step explanation:
40/36=1.111111
1.111111 times 27=30
Answer:
n=30
Step-by-step explanation:
solve by simplifying both of the equations , the isolating the variable
Reduce the fraction with 9 27/36 divide top and bottom by 9 = 3/4
n/40=3/4 cross multiplication 4n = 120 ( divide both sides by 4 )
n=30
a que vista del solido corresponde la figura 2
¿Dónde está la pregunta que estás haciendo? No veo opciones, amigo.
Brantley tosses a ball out of a window that is 75 feet in the air. Its initial velocity is 12 feet per second. The path of the ball is represented by h=-16t^2+12t+75. How long does it take for the ball to hit the ground to the nearest hundredth?
Answer:
[tex]t = 2.57[/tex]
Step-by-step explanation:
Given
[tex]h=-16t^2+12t+75[/tex]
Required
Determine the time to hit the ground
The ground is at point 0.
So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t
[tex]0=-16t^2+12t+75[/tex]
Multiply through by -1
[tex]0=16t^2-12t-75[/tex]
Reorder
[tex]16t^2-12t-75 = 0[/tex]
Solve using quadratic formula:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16; b = -12; c = -75[/tex]
[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]
[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]
[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]
[tex]t = \frac{12\±70.31}{32}[/tex]
Split:
[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]
[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]
But time (t) can't be negative;
So, we make use of only
[tex]t = \frac{82.31}{32}[/tex]
[tex]t = 2.57[/tex]
Hence, the time to hit the ground is 2.57 seconds
Joe has 80 video games and ally has 3 times as many.
How many video games do they have in all?
Answer:
320
Step-by-step explanation:
joe has 80 three times eighty is 240 so they have 240+80=320 so they have 320 games in total
What is the quotient? -3/8 divided by -1/4
Tom has a fair spinner with six sides. They are labelled red, red, blue, green, red, blue. Choose the word that best describes the likelihood that the spinner will land on a colour not green.
Answer:
It is MOST LIKELY NOT going to land on green.
Step-by-step explanation:
Since the spinner has 6 sides, the total possible outcome is 6. There are 3 reds, 2 blues and 1 green.
The probability that the spinner will land on a green is [tex]\frac{1}{6}[/tex]. But since we are looking for the probability that it won't land on green, we have [tex]1 $-$ \frac{1}{6} = \frac{5}{6}[/tex]
From here we can best describe the likelihood that the spinner will land on a colour not green as: it is MOST LIKELY NOT going to land on green
I NEED HELP . I'm having trouble trying to figure out how to answer this can anyone help please?
Answer:
what is it?
Step-by-step explanation:
Madison is a high school basketball player. How many points would Madison score in a game if she made 8 free throws (worth one point each) and 6 three point shots?
How many points would Madison score in a game if she made x free throws and y
three point shots?
Answer:
26 and 1x+3y on Delta math
Step-by-step explanation:
Explanation:
Each free throw scores 1 point, so 8 free throws would score 1\times 81×8 or 8 points. Each three point shot scores 3 points, so 6 three point shots would score 3\times 63×6 or 18 points. Therefore, the total number of points Madison would score is 26.
Answer:
3?
Step-by-step explanation:
The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above ground?
Answer:
1,050 feet
Step-by-step explanation:
All you have to do is take the total height 1,454 and subtract the distance from the top to the 86th floor. 1,454-404 which gives you 1,050.
Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.
Divisor:
A. –3
B. 3
C. x – 3
D. x + 3
Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3
Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3
Answer:
Divisor:D
Divedend: A
Quotient:C
Step-by-step explanation:
The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)
What is synthetic division?Synthetic division is a method for manually performing Euclidean division of polynomials.
Given that polynomial divisor, dividend and quotient ;
The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively
Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)
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Last one , will mark brainliest !!!!
Answer:
Step-by-step explanation:
Part 1:y=426x+4298
y=223x+6129
Part 2: x=9.020 (x is the number of months and y is the miles)
Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile
Answer:
See answers in explanation below
Step-by-step explanation:
1. 4298 + 426t = 6129 + 223t
2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129
and find the answer at where these two lines intersect with each other, x=9.0197 (months)
3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a number less than 4?
Write your answer as a fraction or whole number.
Submit
Answer:
landing on a 4 would be 1/3 chance
and
landing on a number less than 4 would be 2/3 chance
Step-by-step explanation:
The probability of landing on a 4 is 1/3 and then landing on a number less than 4 is 2/3.
What is probability?Probability is the chance of happening an event or incident.
The probability of landing on a 4 is 1/3.
Then, the probability on landing on a number less than 4 = 2/3.
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Hi, this isn't a math question or anything. But I have a question about high schools. So I have all A's for my first marking period and one C for an enirchnment. But do you think I could get into a good high school like Central? Also, I'm not taking the PSSA or big tests. Also, I'm in 7th grade if your wondering.
Answer:
Depends on your GPA
Step-by-step explanation:
What are the factors of 7x2 + 25x – 12?
Answer:
Simplify the expression.
25
x
+
2
Step-by-step explanation:
Answer:
(7x-3)(x+4)
Step-by-step explanation:
hope this helps:)
can someone help me with thiis?
Can someone please help me it’s due in a few minutes.
Answer:
150
Step-by-step explanation:
go submit it
what does x= but it has to equal 10
Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-2(4 - 3x) - 6x = 10
Step 2: Solve for x
Distribute -2: -8 + 6x - 6x = 10Combine like terms: -8 ≠ 10Here we see that -8 does not equal 10.
∴ This equation has no solutions.