The Fraction for the given word problem is x/y = 9/11
What is Fraction?A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.
Let the fraction be x/y
The numerator of a fraction is 2 minus its denomination.
⇒ x = y - 2 .....(i)
When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4
⇒ x - 3/y - 3 = 3/4
Can also be written as
⇒ 4(x + 3) = 3(y - 3)
⇒ 4x - 12 = 3y - 9
⇒ 4x - 3y = -9 + 12
⇒ 4x - 3y = 3 .....(ii)
Substitute the value of (i) in (ii)
⇒ 4x - 3y = 3
⇒ 4(y - 2) - 3y = 3
⇒ 4y - 8 - 3y = 3
⇒ y - 8 = 3
⇒ y = 3 + 8
⇒ y = 11
Putting the value of y in (i).
⇒ x = y - 2
⇒ x = 11 - 2
⇒ x = 9
Hence, Fraction = x/y = 9/11
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HELP! will give brainliest if you show work on how to get this answer below!
Solve for x. Check for extraneous solutions.
2+ sq root (x+18)=x
answer should be:
7(-2 is extraneous)
Kekskekeke
Step-by-step explanation:njbnmmk
Answer:
It should be 7! :)
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
geometry stuff pls help
Answer:
Step-by-step explanation:
SQR-PRQ-SRP
SP/RP=RP/PQ
QP/QR=RQ/SQ
A parabola can be represented by the equation x2 = -
20y.
What are the coordinates of the focus of the parabola?
O(-5,0)
O (5,0)
0 (0,5)
0 (0,-5)
Answer:
( 0 , -5 )
Step-by-step explanation:
The coordinates of the focus of the parabola is at (0, -5)
How to find the focus of a parabolaThe standard formula of a parabola is given as:
y² = 4ax
Given a parabola represented by the equation x² = -20y
Determine the focus
The standard equation of the parabola facing downward is 4p(y-k)=(x-h)^2 where (h, k) is the focus.
Comparing with the given equation, the focus will be at (0, -5)
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43 inches tall. Each book 1/2 - inch thick
Answer:
If you're asking how many books there are its 86.
Step-by-step explanation:
If each book is 1/2 thick that means there are 2 books per inch.
Because there are 43 inches you're going to multiply by 2.
43(2)= 86.
Hope that helped, have a good day!
what is m for y = 7x - 17
On solving the provided question, we can say that - the linear equation y = 7x - 17 at x= 0; y = -17 and m = -17
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
y = 7x - 17
at x= 0
y = -17
and m = -17
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PLEASE HURRY 100 POINTS
Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
A rectangular pyramid. The rectangular base has a length of 27.6 meters and height of 18.4 meters. 2 triangular sides have a base of 27.6 meters and height of 17.6 meters. 2 triangular sides have a base of 18.4 meters and height of 20.4 meters.
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
please help!! no files!!! i’ll mark you brainliest if you can explain your answer!!!!
Answer:
a = 1.5
VW = 9 ft
Step-by-step explanation:
Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:
a + 4 = a² + 0.25 Set equal
a² - a = 3.75 Isolate a values
a² - a + 0.25 = 3.75 + 0.25 Complete the square
(a + 0.5)² = 4 Factor
a + 0.5 = 2 Simplify
a = 1.5
Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:
((1.5) + 7.5) ft
9 ft
pleasee help me answer this Madelyn states that the value of the expression-2/3 x2 + x + 7 3/4 is sometimes negative. Which of the following values of x support Madelyn's claim
Answer:
x+-3/4
Step-by-step explanation:
-2/3(2)+x+7/3/4
=-4/3+(4/3+7/12)
x+-3/4
The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 12°F. What was the lowest temperature overnight in that city?
Answer:-14°F
Step-by-step explanation:
-2°F -12°F is basically the same as 12°F+2°F which is 14°F and then you inverse it
Find the common ratio of the geometric sequence 6, 24, 96, ...
Answer:
The common ratio is 4
Step-by-step explanation:
How?
Multiplying or dividing is how to get the common ratio in a geometric sequence (moving from either left to right or right to left) *in this question to be precise* okay so...
Moving from right to left, and dividing, 96 ÷ 24 is 4; 24 ÷6 is 4 so the common ration is still 4.
(To find the next terms, moving from left to right, and multiplying, multiply the previous term by the common ration, so the next term after 96 is 96 × 4, which is 384, and you continue....)
You are very welcome and good luck :)
The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36 Find equivalent ratios when the number of tickets ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
9514 1404 393
Answer:
(1, 4)(2, 8)(3, 12)Step-by-step explanation:
The ratios all have ...
first number : second number = 1 : 4
Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)
__
You plot these (x, y) points the same way you plot any point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.
__
Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.
Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.
v 2 ‒ 3 where v = 5 =?????????????????????
Answer:
7
Step-by-step explanation:
Since V is equal to 5, I'm guessing the equation is 2V - 3? You substitute V with 5, in the equation and solve! 5 ⋅ 2 - 3, so 5 times 2 is 10, and then you subtract 3 by 10. Then you get the answer 7!
The right triangle represents a sketch of a wheelchair ramp that meets safety requirements. What is the horizontal distance required for the ramp? Round your answer the nearest tenth
The horizontal distance required for the ramp is 143.5 inches
Consider the following figure.
In right triangle ACB, CB is the horizontal distance,
hypotenuse AB = 144 in.
and the vertical distance AC = 12 in.
We need to find the measure of side CB
Let m be the measure of the horizontal distance CB
Using Pythagoras theorem for right triangle ACB,
(AB)² = (AC)² + (CB)²
Substitute given values in above equation.
(144)² = (12)² + (m)²
20736 = 144 + m^2
20736 - 144 = 144 + m^2 - 144
20592 = m^2
m^2 = 20592
m = 143.5 in.
Therefore, the horizontal distance is 143.5 in.
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Write the ratio, Explain what the ratio means . 6 basketballs to 4 soccer balls
Answer:
6:4
This ratio means that for every 6 basketballs there are 4 soccer balls.
What is the value of x?
Answer:
130
Step-by-step explanation:
180-70=110
110+20=130
Find the area of the circle .Round your answers the nearest whole number if necessary.use 3.14 or 22/7
Please help
If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines intersect? How do you know?
Answer:
(6,2)
Step-by-step explanation:
Combine them
Answer:
Step-by-step explanation:
A system of equations is a set of two or more equations that represent a relationship between two or more variables. A solution of this system is an ordered pair that satisfies each equation in the system. Finding the set of all solutions is called solving the system of equations. Solving a system of equations by graphing is exactly what the name implies – graph both equations, and their point(s) of intersection is the solution. A system of linear equations only have one solution because each equation is a straight line, they will only have one point of intersection (unless, of course, they are the same line).
THE TWO LINES WOULD INTERSECT (6, 2). BECAUSE THE SOLUTION IS THE INTERSECTION..
Problem 3. Ryan and four of his friends were going to the movies. The movie tickets cost $8 each, they
bought two popcorns at $5.75, four drinks at $2.25, and two boxes of candy for $1.75. How much money did
they spend total?
(Find the expected value of the winnings from a game that has the following payout probability)
I have all the answers with work shown and how to solve on the second image
Hope this help you guys :)
Answer:
The expected value is $2.1
Step-by-step explanation:
If we have an event with some given outcomes:
x₁, x₂, ..., xₙ
Such that each one of these outcomes has the correspondent probability:
p₁, p₂, ..., pₙ
The expected value is:
EV = p₁*x₁ + ... + pₙ*xₙ
In this case we have a table with the events (the payouts) and the probability for each one, so we have:
x₁ = $0
p₁ = 0.5
x₂ = $2
p₂ = 0.2
x₃ = $4
p₃ = 0.15
x₄ = $6
p₄ = 0.1
x₅ = $10
p₅ = 0.05
Now we can just replace these in the expected value equation, so we get:
EV = $0*0.5 + $2*0.2 + $4*0.15 + $6*0.1 + $10*0.05 = $2.1
What is the laterral surface area?
Answer:
In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. On the other hand, the lateral surface area refers to the area of the sides of a shape , excluding its base and top area.
Step-by-step explanation:
please help me i can give brainliest!
If the mean and the median of a set of data is 25, is the data skewed left, skewed right, or symmetrical.
Answer:
skewed left
Step-by-step explanation:
Sabiendo que lo ancho de un terreno rectangular mide 24.7 m y que su perímetro es de 131.8 m. ¿Cuánto mide cada uno de sus lados largos?
Answer:
El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.
Respuesta:
De largo mide 16m
De ancho mide 8m
Explicación paso a paso:
Perímetro = número de lados multiplicado por longitud del lado.
Formula: P = 2(a + b) o P = 2b + 2h
Donde: P = Rectángulo del perímetro
a y b = Longitudes de lados
Asignamos las variables:
Largo = 2x
Ancho = x
Utilizamos la formula:
2(x) + 2(2x) = 48
2x + 4x = 48
6x = 48
x = 48/6
x = 8m (ancho)
2x
2(8)
16m (largo)
Step-by-step explanation:
Please, answer this one. Thank you!
Answer:
3
Step-by-step explanation:
Since LM = 9 and ST = 6 and those are corresponding sides, the ratio of any side from [tex]\triangle{PLM}[/tex] and its corresponding side from [tex]\triangle{UST}[/tex] is 9 to 6 which can be expressed as the fraction 9/6 or 3/2.
LQ and SR are corresponding segments, so set up two ratios.
[tex]\frac{LQ}{SR}=\frac{3}{2}\\\\\frac{x-1}{x-2}=\frac{3}2}[/tex]
Now "cross-multiply" (using what you may have seen called the Means-Extremes Property).
[tex]2(x-1)=3(x-2)\\\\2x-2=3x-6\\\\4=x[/tex]
Now put in 4 for x in the expression for LQ.
[tex]LQ=x-1=4-1=3[/tex]
What is seed calculator?
Answer: The Seed Calculator app is used to calculate the amount of seed required in order to produce a desired crop yield.
Step-by-step explanation:
The scatter plot shows the winning times, in minutes, in a track event over eight consecutive years.
Scatter plot with x axis labeled Time in Years and y axis labeled Winning Time, with points at 1 comma 5 and 4 tenths, 2 comma 5, 3 comma 4 and 6 tenths, 4 comma 4 and 9 tenths, 5 comma 4 and 1 tenth, 6 comma 3 and 9 tenths, 7 comma 3 and 6 tenths, and 8 comma 3 and 3 tenths.
Predict the winning time in year 10 of the race.
1.52 minutes
1.98 minutes
2.83 minutes
3.01 minutes
The predicted winning time in year 10 of the race is 2.83 minutes.
How to obtain the equation for the line of fit?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
Given:
From the scatter plot, the points are given as follows:
(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).
Inserting these points into the linear regression calculator, we get
y = -0.29x + 5.67.
Now, for x= 10 year
y = -0.29(10) + 5.67 = 2.77 minutes.
which is closest to 2.83 minutes.
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Can someone help on this?
Answer:
x=0 and y=36
Step-by-step explanation:
30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36
Write an equivalent expression in expanded form.
-3(- 4x + 2)
Answer:
12x-6
Step-by-step explanation:
Two similar cones have volumes of 3970cm3 and 3100 cm3 respectively.
The height of the larger cone is 25cm.
Calculate the height of the smaller cone.
Answer:
The height of the smaller cone is 19.52 cm
Step-by-step explanation:
Given that,
The volume of cone 1, V₁ = 3970 cm³
The volume of cone 2, V₂ = 3100 cm³
The height of the larger cone, h₁ = 25 cm
We need to find the height of the smaller cone. Let it is h₂. For similar cones,
[tex]\dfrac{V_1}{V_2}=\dfrac{h_1}{h_2}[/tex]
Put values,
[tex]h_2=\dfrac{h_1V_2}{V_1}\\\\h_2=\dfrac{25\times 3100}{3970}\\h_2=19.52\ cm[/tex]
So, the height of the smaller cone is 19.52 cm.
HELP ME PLEASE, ILL GIVE BRANILIST FOR THE BEST CLEAR ANSWER :
William has a new puppy that has completely destroyed the carpet in his living room. If he wants to replace the carpet in the room, which is the best measure?
a
surface area
b
area
c
volume
Answer:
C. Area
hope this helped
Consider y =f(x)=-3x+2 . Using space below, determine the equation that represents the inverse f(x)
Answer: [tex]f^{-1}(\text{x}) = \frac{2-\text{x}}{3}[/tex]
Explanation:
Swap x and y, then solve for y to get the inverse.
[tex]f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^{-1}(\text{x}) = \frac{2-\text{x}}{3}\\\\[/tex]