Using the graph above identify the constant of proportionality between the number of shirts and how much they cost? Hint: simplify your answer
A. K=80
B. K=20
C. K=10
D. k=8
Answers
Answer:
We conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
k = y/x
where k is called the constant of proportionality
Given the points
(10, 80)(20, 160)(50, 400)For (10, 80)
substituting y = 80 and x = 10 in the equation
k = y/x
k = 80/10 = 8
For (20, 160)
k = y/x
k = 160/20 = 8
For (50, 400)
k = y/x
k = 400/50 = 8
It is clear that the value of k is the same for all the points.
Thus, the value of k = 8
Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Related Questions
You pay $11.20 to buy drink boxes for the football team. Each drink box cost $0.40. How many drink boxes did
you buy?
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Please help me
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Answer:
f(x)=3(-1)+10 Answer: 7
f(x)=3(0)+10 Answer: 10
f(x)=3(1)+10 Answer: 13
f(x)=3(4)+10 Answer 22
if Maya drove 30 laps in six minutes how many laps did she drive in one minute
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Answer:
5 laps in one minute.
Step-by-step explanation:
1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.
Find the Measure of the missing angles.
49°
118
73
Measure angle 1 =
Measure angle 2-
Measure angle 3=.
Answers
Answer:
Find the Measure of the missing angles.
49°
118
73
Measure angle 1 =
Measure angle 2-
Measure angle 3=.
Step-by-step explanation:
A new watch costs $120 at the store. If it goes on sale for 75% off and has a sales tax of 6%, what is the final cost of the watch?
Answers
Part 1: Check your work now. Use the substitution
method to check when h= 5 will it make this equation
true?
8h + 5 = 6h + 15
Part 2: How much money do both Diego and Jazzy
make after working 5 hours? (Write in complete
sentences)
Answers
Answer:
For part 1, it is true.
2h = 5 x 2 = 10
5 + 10 = 15
For part 2, I don't what your referring to, is it the 8h + 5 = 6h + 15?
Answer:
8h +5=6h+15
8 x 5 + 5= 6 x 5 +15
35= 50
= 35/50
= 7/10
what is 65% of 80 ??????????????
Answers
Answer:
Step-by-step explanation:
65% of 80 is
65*80/100=52
Answer:
52
Step-by-step explanation:
Calculate percentage:
'Percentage' is obtained by multiplying 80 by 65%.
65% × 80 =
(65 ÷ 100) × 80 =
(65 × 80) ÷ 100 =
5,200 ÷ 100 =
52
Checking:
How do we check the result?
If 65% × 80 = 52 =>
Divide 52 by 80...
... And see if we get as a result: 65%.
Calculate the percent value:
52 ÷ 80 =
0.65 =
0.65 × 100/100 =
(0.65 × 100)/100 =
65/100 =
65%
If Bob can run 3 miles in 27 minutes, how many miles
can Bob run in n minutes?
Answers
Answer:
e
Step-by-step explanation:
The diameter of a circle is 9 cm. Find its area to the nearest tenth.
Answers
Cut diameter in half to find radius
9/2 = 4.5
radius = 4.5
This is the formula for area of a circle:
pi * radius^2
pi * 4.5^2
20.25pi
Now find pi:
20.25 * pi = 63.6
Answer:
63.6 cm is the area
Answer:
63.6
Step-by-step explanation:
1. A = πr²
2. Find the radius (r). Since the radius of a circle is the diameter/2, the radius is 9/2, which is 4.5
3. Now that we know the radius, we plug it into our formula: A = π(4.5)²
4. Simplify: A = 3.14(20.25)
5. A = 63.62
6. Rounding to the nearest tenth makes your answer 63.6
Classify this triangle by its sides?
Answers
Answer:
Scalene
Step-by-step explanation:
Please help, I will be giving brainlist.
Answers
Answer:
b
Step-by-step explanation:
Answer:
o B 6 inches.
Step-by-step explanation:
Proportions:
13 in ⇔ 9.75 in
8 in ⇔ X in
X = 8*9.75/13
X = 6 in
Evaluate the expression when b=-6 and y=4.
b-6y
Answers
-6 -24 = -30
So -30 is ur answer :)) hope I helped
Multiply -6(4)= -24
-6-24
Add the negatives -30
Answer: -30
rewrite using addition. 3(-17) explain
Answers
Answer:
-17 + -17 + -17
Step-by-step explanation:
Add -17 three times
Answer:
+ (-17) + (-17) + (-17)
-17 - 17 -17
-51
10. Write the equation of a line in slope-intercept form that passes
through the points (-2, 3) and (0,8).
y = mx + b
Equation:
Answers
Answer:
Step-by-step explanation:
5/2
y=5/2x + 8
Hope this helps! :)
4.1% of 30
I’m in 7th grade so please don’t answer it to complicated lol
Answers
its
= 4.1/100 × 30
= 41/1000 × 30
= 123/100
= 1.23%
Answer:
1.23
Step-by-step explanation:
Hey there !!!!!
4.1% of 30
if we solve it :
Y is 4.1% of 30
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 4.1% * 30
Converting percent to decimal:
p = 4.1%/100 = 0.041
Y = 0.041 * 30
Y = 1.23
therefore:
4.1% of 30 = 1.23
Have a wonderful day
Find the y-intercept of the line shown below.
PLS SOMEONE ANSWER THIS!!
Answers
Answer:
The intercept is 2 or (0,2) because that is where it intercepts on the Y axis
Answer:
(0,2)
Step-by-step explanation:
The y-intercept is just where the line passes through the y-axis or when x= 0.
Can you help me out with this math problem? Please Simplify: (4 – 5) – (13 – 18 + 2). Show your work on how you got it.
(a) -1,
(b) –2,
(c) 1,
(d) 2.
Answers
Answer:
2
Step-by-step explanation:
(4-5)-(13-18+2)
=-1-(13-18+2)
=-1-(-5+2)
=-1(-3)
=2
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Answer:
b
Step-by-step explanation:
Answer: b
Step-by-step explanation:
180°-116°=64°
Solve 6 - 5x = 7 + 3x
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Answer:
hol up
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Step-by-step explanation:
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Answers
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.
Form an equation with x from the information.
Answers
Step-by-step explanation:
Let the number be x.
ATQ,
Malachy halves the number and gets an answer of 67.3.
[tex]\dfrac{x}{2}=67.3[/tex]
This the equation for the given statement.
It can also be written as :
[tex]x=2\times 67.3\\\\x=134.6[/tex]
Hence, this is the required solution.
1 and 2 is all I need and you guys would help me from not getting beat
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Answer:
1. -10
2. -11
Step-by-step explanation:
Write 2/3 and 3/4 as equivalent fractions using a common denominator.
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Answer:
8/12 and 9/12
Step-by-step explanation:
8/12 and 9/12
step by step
Help me out please and thank you ;)
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Explanation:
Shoe size and letters in your name have nothing to do with each other
what the square root of 2000
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Answer:
44.7213595
Step-by-step explanation:
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GIVING BRAINLIEST Cattails thrive in places where there is plenty of water year-round. Which event might limit a cattail population? A.Drought B.Rainy spring C.Thunderstorm D.Eclipse
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Answer:
A. Drought, this is when the land is dry and no water is around essentially.
Answer:
The answer is drought. I took the test.
Which of the following is the product (5y − 3)2?
Answers
Answer:
= 10y − 6 is your answer
Step-by-step explanation:
option B is correct, 25y²-30y+9 is the product of (5y − 3)².
What is Expression?The combination of numbers, variables, and operators is known as Expression.
The given expression is (5y − 3)²
The process of determining the product of two or more numbers is Multiplication.
The expression is five times of y minus three to the power of two.
From algebraic identity we have (a-b)²=a²+b²-2ab
Now (5y − 3)²
(5y)²+3²-2(5y)(3)
25y²+9-30y
Twenty five y to the power of two plus nine minus thirty times of y.
25y²-30y+9 is the expression after product of (5y − 3)².
Hence, option B is correct, 25y²-30y+9 is the product of (5y − 3)².
To learn more on Expressions click:
https://brainly.com/question/14083225
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Which of the following is the product (5y − 3)2?
A. 10y − 6
B. 25y2 − 30y + 9
C. 25y2 − 9
D. 25y2 + 30y − 9
Find the missing side length
Answers
can solve real world problems involving embedded triangles:
The value of x is
please I need this answer quick.
Answers
Answer:
It is 15 x=15
Step-by-step explanation:
i need to drag one into the box to match them
Answers
Answer:
54÷9 = 6 so for the second box is 6 hot dogs per person
54÷27= 2 third box is 2 hot dogs per person
54÷54= 1 fourth box is 1 hot dog per person
