a) The value of y₂ is 1 for the direct proportionality case.
b) The value of y₂ is 5.76 for the inverse proportionality case.
How to predict a value by apply proportionality model
Proportionality represents a family of relationships between two variables, which can be linear and nonlinear. Direct proportionality represents a linear relationship, whereas inverse proportionality represents a kind of nonlinear relationship.
Here are two mathematical representations of the relationships described above:
Direct proportionality[tex]y \propto x[/tex]
[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex] (1)
Inverse proportionality[tex]y \propto \frac{1}{x}[/tex]
[tex]\frac{y_{2}}{y_{1}} = \frac{x_{1}}{x_{2}}[/tex] (2)
If we know that x₁ = 6, x₂ = 2.5, y₁ = 2.4, then the value of y₂ for each case are, respectively:
Direct proportionalityy₂ = 2.4 × (2.5/6)
y₂ = 1
Inverse proportionalityy₂ = 2.4 × (6/2.5)
y₂ = 5.76
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Enzo is driving to his niece's t-ball game. his sister gave him directions. what will
happen if enzo follows these directions?
turn east off 1st avenue at lake drive. drive 3 miles. make a 90° right turn and drive
1 mile. turn 90° at the intersection. you will reach the field in 2 miles.
a
The direction given by Enzo's sister is an illustration of distance
Enzo's distance from the east of 1st avenue to the field is 6 miles
How to describe the directions?From the question, we have the following directions:
Start at east of 1st avenueDrive 3 milesMake a 90 degrees right turnDrive 1 mileTurn at 90 degrees intersectionDrive 2 milesThe above directions imply that the total distance from the east of 1st avenue to the field is:
Distance = 3 miles + 1 mile + 2 miles
Evaluate the sum
Distance = 6 miles
Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles
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Answer:
He may reach the field but he may also end up at the lake
Step-by-step explanation:
. It took Erin the same time to drive 21 miles as it took Brent to drive 15 miles. Erin's speed was 10 mph
faster than Brent's speed. How fast did Erin drive?
The speed at which Erin drove from the given parameters was calculated as; 35 mph
How to work with speed rates?
Let Erin's speed rate be X. Now, since it took erin 21 miles, then;
Erin's time = 21/X
Now, erin's speed was 10 mph faster than Brent's speed. Thus;
Brent's speed = (X - 10) mph
Thus, Brents time = 15/(x - 10)
Now, since they took the same time, then we know that;
21/x = 15/(x - 10)
15x = 21x - 210
6x = 210
x = 210/6
x = 35
Thus, Erins speed = 35 mph
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Find the surface area of this figure.
Answer:
592 in²
Step-by-step explanation:
The surface area is the sum of the areas of the rectangles shown in the figure.
__
The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...
A = LW = (12 in)(36 in) = 432 in²
The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...
A = 2(LW) = 2(8 in)(10 in) = 160 in²
The total surface area of the figure is (432 +160) in² = 592 in².
5. A rectangle is shown with dimensions in inches
(in.).
3/4 in.
1/3 in.
CAN
What is the area of the rectangle in square inches?
square in.
Answer:
1/4 or 0.25in
Step-by-step explanation:
If you mean that 3/4 and 1/3 is lenght and width then:
3/4 x 1/3=1/4
1/4=0.25
1/4in^2
x is proportional to root y where y>0
Answer:
x is proportional to √y where y > 0
Step-by-step explanation:
Find the area of this figure
Answer:
Step-by-step explanation:
3*5=15
8*16=128
10*7=70
4*3/2=6
15+6+70+128=219
Answer:
219 yd²
area of rectangle
length * width3 * 515 yd²area of 2nd rectangle
length * width9 * 872 yd²area of rectangle
length * width7 * (10+5+3)126 yd²area of triangle
1/2 * base * height1/2 * 4 * 36 yd²total area:
6 yd² + 126 yd² + 72 yd² + 15 yd²219 yd²The area of a rectangle is 56 cm. The length is 2 cm more then x and the width is 5 cm less than twice x. Solve for x. ROund to the nearest whole number.
Answer:
x^{2} -3x=46
Step-by-step explanation:
First, we know that the area of the rectangle is L x W.
[tex]L= x+2\\W= x-5\\(x+2) * (x-5)=56[/tex]
So, we would get [tex]x^{2} -5x+2x-10[/tex]=56
[tex]x^{2} -3x=46[/tex]
SOMEONE HELP!!!!!!!
Answer:
115.395 min
Step-by-step explanation:
First we find the volume of 6 cm of water. We use the formula:
[tex]\pi *radius^2 *height[/tex]
[tex]\pi *35^2*6 = 23,079 cm^3[/tex]
1 L/min = 1000 cm^3 / min
0.2 L/min = 200 cm^3 /min
[tex]\frac{23,079}{200} = 115.395 min[/tex]
help , i need to finish this today :)
Use the equation of the curve of best fit to predict what the daily rental price for a two-bedroom condo will be in June and in January.
Type the correct answer in each box.
The daily rental price will be $ _____in June and $ _____ in January.
Hii!
let me answer this for you before i head out!
So, how many days are in 1 week? 7.
To rent daily, we need to find out the price for 1 single month.
1 month is $154
7 times what is 154?
7x22 is 154
Therefore, to rent a room everyday, it would cost 22$ for the first month.
437 divided by 2 is 218
218 divided by 7 is 31
Hope it helps
Sorry if its wrong!
A parallelogram has an area of 28 square inches. If the parallelogram is 4 inches long, what is its
width?
Answer:
7 inches
Step-by-step explanation:
The area of a parallelogram is Base x Height.
Area = 28 in^2 = (4 in)*(Height)
Height = 7 inches
HELP ASAP!!!!!!!!!!!!!!!!!!!!
Answer:
0.36
Step-by-step explanation:
0.67 - 0.31 = B
B = 0.36
I hope this helps!
Fernando compró un videojuego y sabe que el valor depreciado de este es de $600 luego de 12
meses de su compra y de $480 al término de 18 meses. Si el valor del sistema varía linealmente
con el tiempo, determina:
a) La ecuación que expresa la relación del valor del videojuego con su tiempo de uso.
b) El valor del videojuego cuando era nuevo.
ayudenme profavor
Usando una ecuación lineal, se encuentra que:
a) La ecuación es y = -20x + 840.
b) El valor del videojuego cuando era nuevo era de $840.
¿Qué es una función lineal?Una función lineal es modelada por:
y = mx + b
En el cual:
m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.En este problema, el valor depreció $120 en 6 meses, por lo tanto la pendiente es dada por:
m = -120/6 = -20.
O sea:
y = -20x + b
Al longo de 12 meses, el valor deprecio 12 x 20 = $240. Por lo tanto, el valor inicial es dado por:
b = 600 + 240 = $840.
Y la ecuación es dada por:
y = -20x + 840.
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Hailey has $9 worth of nickels.how many nickels does hailey have?
Answer:
180
Step-by-step explanation:
The answer is 180 because 20 nickels make a dollar and you do 20x9 and that equals to 180
Answer:
$180 nickels
Step-by-step explanation:
9x 20= 180
find the range of the given data 8,9,7,11,18,13
Answer:
range = 11
Step-by-step explanation:
the range is the difference between the largest and smallest value in the data set.
largest value = 18 , smallest value = 7 , then
range = 18 - 7 = 11
11 is the range of the data 8,9,7,11,18,13
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data is 8,9,7,11,18,13
Eight comma nine comma seven comma eleven comma eighteen comma thirteen.
The range in statistics for a given data set is the difference between the highest and lowest values.
Largest value is 18
Lowest value is 7
Range=Largest value-Lowest value
=18-7
=11
Hence, 11 is the range of the data 8,9,7,11,18,13
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Diego works at a carwash and makes $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn? Consider that overtime is paid at time-and-a-half of his regular rate. 158.40 130.00 150.40 148.50
Answer: Total Hours
Regular Rate = $11.25 / hour
Overtime Rate = $16.88 / hour
Double Time Rate = $22.50 / hour
Step-by-step explanation:
Consider the number 9,953.
Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for
each number without using a calculator.
Hint: If a number is not divisible by 2, then what other numbers is it
also not divisible by?
Write your answer in complete sentences.
Answer:
No for all of them
Step-by-step explanation:
2 --> not even
3 --> of the sum of the numbers are not divisible by three
4 --> the last two digits are not equal to a multiple of four
5 --> the last digit is not ending with 0 or 5
9 --> the sum of the digits is not equal to a multiple of nine
10 --> the last number is not zero
I need help please thanks
Answer:
5[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Glass: [tex]\frac{2}{3}[/tex] × 10
Hours: 1[tex]\frac{1}{4}[/tex]
1) Find the real value. He drinks [tex]\frac{20}{3}[/tex] glasses of water in 1[tex]\frac{1}{4}[/tex] hours. 1[tex]\frac{1}{4}[/tex] × [tex]60[/tex] gives us the minutes because 1 hour is 60 minutes.
Glass : Minutes:
[tex]\frac{20}{3}[/tex] : [tex]75[/tex]
2) Use ratio to find the value of one. 60 ÷ 75 gives us 0.8. Multiply [tex]\frac{20}{3}[/tex] by 0.8 or [tex]\frac{8}{10}[/tex].
Glass : Minutes
[tex]\frac{16}{3}[/tex] : 60
3) Convert [tex]\frac{16}{3}[/tex] into a mixed number.
= 5[tex]\frac{1}{3}[/tex]
Noah and his sister are making gift bags for a birthday party. Noah puts 3 pencil erasers in each bag. His sister puts x stickers in each bag. After filling 4 bags, they have used a total of 44 items.:Draw a diagram for the story and find the unknown amount.
Answer:
x=8
Step-by-step explanation:
Answer:
44 items in 4 bags means there are 11 items in each bag (44/4).
each bag has 3 erasers + x stickers. So, 3 + x = 11
subtract three from each side of the equation to isolate the variable (x):
3+x-3=11-3
x=8
somebody help me this is hard for me
Answer:
[tex]\huge\boxed{\bf\: \frac{1}{3}\rightarrow probability}[/tex]
Step-by-step explanation:
Given,
Total number of marbles = 6Number of blue marbles = 2Number of yellow marbles = 1Number of red marbles = 3We are asked to find the probability of choosing a blue marble if they are randomly chosen. Then,
Probabilty of a blue marble
= Number of blue marbles / Total number of marbles
= 2/6
= 1/3
[tex]\rule{150pt}{2pt}[/tex]
Solve this linear equation 2.6(.5.5-12.4=127.92
Answer:
First we must distribute the 2.6 to everything inside the ()
The new equation would then be 14.3p-32.24 = 127.92
Then you would add a -32.24 to each side of the equal sign, so that the 32.34 would become a zero pair on the right side of the equal sign and cancel.
The new equation would then be 14.3p = 160.16
Then you divide each side of the = by 14.3, that way the p becomes isolated. 14.3p/14.3 = 160.16/14.3
Then you're left with p=11.2
a ruler and a pair of compasses Using only 1 Construct a Line IABI= 10cm b. Perpendicular bisector at A to C. c.Angle ABC =30. d. construct perpendicular bisector at B to Do such that AC BD. Join A to D
measure AD and angle ADB.
Answer:
Using a graduated ruler, draw a line segment AB of length 10 cm.
Draw 2 arcs of radius more than half of AB with A as the center, one above AB and one below AB.
With the same radius, similarly, draw 2 arcs with B as the center.
a listing for a home for sale is shown as follows: “3/2/1 house for sale. price 140000” what does “3/2/1” mean
Answer:
A
Step-by-step explanation:
Usually when purchasing a house you refer to the bedroom then the bathroom then potentially your garden width/height or you garage
Find the volume of a right circular cone that has a height of 3.5 ft and a base
with a diameter of 11.9 ft.
Step-by-step explanation:
the volume of a cone is
base area × height / 3
and the case area is a circle, so we get
pi×r²×h/3
with e being the radius (half of the diameter), and h being the height.
therefore
pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³
3800 millimetres expressed in metres is
Answer:
3.8 meters
Step-by-step explanation:
1000 mm=1m
3000mm = 3m
500mm=.5
100mm= .1
800mm=.8m
3800mm=3.8
PLEASE HURRYYYYYYYYYYYYYYYYY!!!!!!!
Answer:
y = 2/5 x + 4/5
Step-by-step explanation:
First, we find the slpe of the line that is shown.
We go from point (-2, 2) to (0, -3).
We go 5 down, or a rise of -5.
Then we go 2 right, or a run of 2.
slope = m = -5/2
The perpendicular line has slope 2/5.
y = (2/5)x + b
2 = (2/5)(3) + b
10/5 = 6/5 + b
b = 4/5
y = 2/5 x + 4/5
Which equation represents the line shown in the graph below
Answer:
b: y = 2x + 5
Step-by-step explanation:
you can find this out by first looking at what the slope is
the slope is rise over run which is 2
then you can see that the y intercept is 5
y = 2x + 5
What were the overall returns during the bull market from 1970 to 1973?
The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.
Hope this was helpful to you
What is the value of "X"?
Answer:
6
Step-by-step explanation:
All triangles equal 180 degrees to this is what I did:
8x + 2 + 70 + 60 = 180
8x + 2 + 130 = 180
8x + 132 = 180
subtract 132 from each side
8x = 48
now divide each side by 8 to isolate the x
x = 6.
please help i am not smart
Answer:
Step-by-step explanation:
Number of shells she had in the begining = 40
Number of shells collected in the morning and at noon = 6 + 3 = 9
Now the number of shell at the end = 40 + 9 = 49
Icreased shells = 49 - 40 = 90
[tex]\text{Percentage increase = $\dfrac{49- 40}{40}*100$}[/tex]
[tex]=\dfrac{9}{40}*100\\\\\\= 22.5 \ \%[/tex]
Find the measure ments of angels 2, 3, and 4
Answer:
3-is 85
2- is 95
4-95
Step-by-step explanation:
for 1 is 85
85-180=95