Fill in the missing values in the table. Then determine the constant of proportionality.
blank 1) 2 1/3 yards
feet
blank 2)
yards: 3 feet
blank 3) 2 yards :
feet
blank 4)
yards: 4.5 feet
The constant of proportionality is
Answers
Answer:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
Here, k is the constant of proportionality.
From the table, taking the first two points to determine the constant of proportionality.
Yards Feet
1/2 1.5
1/3 1
Using the equation
substituting y = 1.5 and x = 1/2
y = kx
k = y/x
k = (1.5) / (1/2)
k = 1.5 / 0.5
k = 3
also substituting y = 1 and x = 1/3
k = y/x
k = 1 / (1/3)
k = 3
As the constant of proportionality is the same.
Therefore, the constant of proportionality = k = 3Determining Blank 1
Yards = x = 2 1/3 = 7/3
y = blank 1 = Feet ?
k = 3
Using the equation
y = kx
blank 1 = Feet = y = 3 (7/3)
blank 1 = Feet = y = 7
Therefore, Blank 1 = y = Feet = 7In other words,
When Yards = 2 1/3, then Feet = 7
Determining Blank 2
Feet = y = 3
Blank 2 = x = yards ?
k = 3
Using the equation
y = kx
Blank 2 = x = yards = y/k
Blank 2 = x = yards = 3/3
Blank 2 = x = yards = 1
Therefore, Blank 2 = yards = x = 1In other words,
When Yards = 1, then Feet = 3
Determining Blank 3
yards = x = 2
Blank 3 = y = Feet ?
k = 3
Using the equation
y = kx
y = Blank 3 = Feet = 3(2)
y = Blank 3 = Feet = 6
Therefore, Blank 3 = Feet = y = 6In other words,
When Yards = 2, then Feet = 6
Determining Blank 4
Feet = y = 4.5
Blank 4 = x = Yards ?
k = 3
Using the equation
y = kx
x = Blank 4 = y/k
x = Blank 4 = 4.5/3
x = Blank 4 = 1.5
Therefore, Blank 4 = x = Yards= 1.5In other words,
When Yards = 1.5, then Feet = 4.5
Summary:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
Related Questions
If the sides of a triangle have the following lengths, find a range of possible values for x.
LM = 6x + 3, MN = 4x - 17, LN = x + 40
Answers
Answer:
The range of possible values of x are;
x > 6
Step-by-step explanation:
To form a triangle, the length of two sides must be greater than the third side
Thus;
6x + 3 + 4x-17 > x + 40
6x + 4x-14 > x + 40
10x-14 > x + 40
10x-x > 40 + 14
9x > 54
x > 54/9
x > 6
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Answer:
wait what was the question i might be able to help if i know what it is
HELPNSHSLAMWJS PLEASE I AM WASTING ALL MY POINTS
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Step-by-step explanation:
1/2×2/2
2/4
2/3×2/2
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Answers
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Step-by-step explanation:
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What value of x can you substitute into each of these expressions to give you the same answer?
x + 12
6x - 8
4x
Answers
Answer:
[tex]x = 4[/tex]
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Step-by-step explanation:
x4
\begin{gathered}4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16\end{gathered}
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g(x)= x^2-x-6
g(x)- __(x+__)^2+___
Thanks :)
Answers
Step-by-step explanation:
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A. f(x)
B. the functions have the same maximum value.
C. g(x)
Answers
Answer:
A.f(x)
Step-by-step explanation:
Sup dude it's been a while since khelcee talked to us.
Graph B
Graph
2
0
1 2 3 4 5 6
Time s)
Time (s)
0 1 2 3 4
Time (s)
Based on the graphs, choose True or False for each statement.
a. Graph B shows a proportional relationship
between distance and time.
True False
b. In Graph A, the constant of proportionality
between distance and time is :
True False
c. Graph C shows an object that speeds up over time.
True False
d. The unit rate in Graph B is 2 feet per second.
False
e. An object represented by Graph A is moving faster
than an object represented by Graph B.
True False
108
Lesson 1 Retroportional
DOO
True
Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Work in pic:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Answer:
the answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Correct on edge
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Answers
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Step-by-step explanation:
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-5
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so
(0,-1) is starting point
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
x 0 1 2 3
y 0 2 3 4
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B.1/2
C.0
D.not proportional
Answers
Answer:
Hello! The Answer is not proportional. Hope this helps!
Step-by-step explanation:
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Answers
Answer:
4
Step-by-step explanation:
2.50/5=0.5
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Radha takes some flowers in a basket and visits three temples one by one at each Temple she offer one half of the flowers from the basket if she is left with three flowers at the end find the number of flowers she had in the beginning
Answers
Answer:
24
Step-by-step explanation:
She visits 3 temples one by one
She offers 1/2 of what she has in the baske
So 1/2 to the first 1/2 of 1/2 to the second =1/4And 1/2 of 1/2 of 1/2 to the third 1/8She is left with 3 flowers
If she gave 1/2 of what she had left to the 3rd, and the other half was 3
Then it means she gave the 3rd 3 flowers
So 3 is 1/8th of what she had at the beginning
Multiply 3*8 and you get 24
Hope this helps ^_^
Choose the correct answer and rationale. “The prices listed on retail websites...”
a.
...are open to negotiation, because you can email the company.
b.
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c.
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d.
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Answers
Answer:
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
EDGE 2021
Compute 123 × 45 + 246 × 30 + 369 × 15.
Answers
Answer:
Step-by-step explanation: 123 × 45 + 246 × 30 + 369 × 15.= 18450
the value of 4 in the 542.3
Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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EX: the 2 is in the ones
EX: the 5 is in the hundreds
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Answers
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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I hope this helps
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Answers
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Step-by-step explanation:
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Please answer the question below
Answers
Answer:
11
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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−6y+17−3y=3y−10−3y
−9y+17=−10
Step 2: Subtract 17 from both sides.
−9y+17−17=−10−17
−9y=−27
Step 3: Divide both sides by -9.
−9y
−9
=
−27
−9
Answer:
The answer is Y=3
Step-by-step explanation:
when you get all the varibles together and subtract from both side you'll be left with -9y+17=-10 so to get 17 to the other side you have to do the inverse operation and that would be to subtract.This means you have to subtract to both side 17-17 would cancel out and -10-17 would be -27.
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If Oni uses all 3 of the $0.44 cent stamps he has, what
is the minimum number of $0.10 stamps he needs to
use?
Ori needed at least $1.47 in postage to mail an
envelope to his cousin overseas. If x represents the
number of $0.44 cent stamps he has and y represents
the number of $0.10 cent stamps he has the inequality
representing the number of stamps he can use to mail
the envelope is 0.44x+0.1021.47
O 1
O2
O 3
05
Answers
Answer: b
Step-by-step explanation: edge 2020
Tasha bikes two miles.
Cory bikes 2 times as far as Tasha
Kei bikes 2 times as far as cory
which exponential question represents the distance Kei bikes
A.2 2
B 3. 2
C 2. 4
D 2 3
btw all the second numbers are supposed to be tiny numbers
Answers
Answer: A?
Step-by-step explanation:
Answer:2^3
Step-by-step explanation: