The value of x when y = 84 is 14
From the question,
The value of y varies directly with x
That is,
y ∝ x
Introducing the constant of proportionality, k
We get,
y = kx
Also, from the question
If x = 3, then y = 18
Putting these values into the equation, we can determine the value of k
[tex]y = kx[/tex]
[tex]18 = k \times 3[/tex]
Now, divide both sides by 3
[tex]\frac{18}{3}=\frac{k \times 3}{3}[/tex]
[tex]6 = k[/tex]
∴ k = 6
Now, to determine the value of x when y = 84
We will put y = 84 and the value of k =6 into the equation
[tex]y = kx[/tex]
[tex]84 = 6 x[/tex]
Divide both sides by 6
[tex]\frac{84}{6} = \frac{6x}{6}[/tex]
[tex]14 = x[/tex]
∴ [tex]x = 14[/tex]
Hence, the value of x when y = 84 is 14
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4. Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the
week beforeThis is a result of...
Sunk cost
Overconfidence
Endowment effect
Answer:
Endowment effect
Step-by-step explanation:
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
This is a result of the endowment effect.
Given,
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
We need to find whether it is a result of
- Sunk cost
- Overconfidence
- Endowment effect
What are the endowment effect and Sunk cost?
The endowment effect is the effect of placing a higher value on an object
they own than the value on the same object they did not own.
The sunk cost is a cost that has already been incurred and that cannot be
recovered.
We have,
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
Here,
We are talking about the same item $20.
Losing $20 is losing what Michael owns.
Finding $20 on the sidewalk is not what Michael owns.
And the pain of losing $20 which he owns is more than the joy of finding it on the sidewalk so,
The Endowment effect is found here.
Thus,
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
This is a result of the endowment effect.
Learn more about the endowment effect here:
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Determine whether each data set represents a function. Part A and B
Answer:
Part A - Represents a function
Part B - Doesn't represent a function.
Step-by-step explanation:
A set is just a list of numbers to check. The question is asking you based on the set...
(-5, 8)
(-6, 2)
(-2, -6)
(-1, 8)
(4,6)
if it is a valid function.
At NO point should a function have multiple x values. This fails the Vertical Line Test if visualized on a graph.
For Part A, there are no duplicate x values, meaning this function is valid.
For Part B, there is a duplicate x value - (2,9) & (2,4). Because of this, immediately the function is invalid. There can not be any duplicate x values in a valid function, PERIOD. If graphed, it fails the vertical line test.
Ian's car can go 231 miles on 7 gallons of gas. During a drive last weekend, Ian used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.
Answer:
165 miles
Step-by-step explanation:
part 1
231/7= 33 mpg
33x5 = 165 miles
part 2
distance/mpg = gas used
for example: if you were told he went 200 miles,
200/33 = 6.06 gallons of gas
Given :
Ian's car can go 231 miles on 7 gallons of gas.
During a drive last weekend, lan used
5gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 231 mi on 7 gallons of gas.
Using Unitary Method ,
On 1 gallon of gas it will go 231/7mi
On 5 , it will go 231/7*5 = q65 miles
Hence the required answer is 165 miles
how many significant figures are in the measurement 4857.168 cm?
A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?
The distance from the road where an intruder would be in danger is 27.48 m.
To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:
Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.
In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)
From this we know the following data:
Length AB = 15mLength AD = 15mLength AC = 6mTo know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.
BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 mLater we use the same procedure to find the length CD.
CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 mFinally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.
BC + CD = BD = 27,48 mLearn more in: https://brainly.com/question/14930619
write a quadratic equation in standard form with the roots of 3 and -5
Answer:
y=x^2+2x-15
Step-by-step explanation:
x=-3 or x=5
(x-3)(x+5)
x^2+5x-3x-15
x^2+2x-15
Andre drove 106 miles in 2 hours. If he continues at this speed; how far can he drive in 5 hours?
Answer:
265 miles
Step-by-step explanation:
Divide 106 by 2 and get 53. Now you know that Andre rides 53 miles per hour.
To find your answer, Multiply 106 by 2 and get 212. Add 53 to 212.
Result: 265 miles per 5 hours
Therefore, 265 would be your answer.
-kiniwih426
Heath measured the wheelbase on his bike. This is the distance from where
the front wheel touches the ground to where the back wheel touches the
ground. He found that the length was 4 feet 5 inches.
1 foot = 12 inches
4A 5 in.
What is the wheelbase of his bike in inches?
Answer:
ground. He found that the length was 4 feet 5 inches.
1 foot = 12 inches
4A 5 in.
What is the wheelbase of his bike in inches?
convert 11/15 to a repeating decimal
Answer: 11/15 as a decimal is 0.73333333333333.
Step-by-step explanation:
Two-thirds of the students in your class are boys. One eighth of the boys play soccer what fraction of the kids in your class are boys who play soccer
Math period 4 — 9th Grade
Answer:
7 of the kids in your class play
Step-by-step explanation:
Hope this helps you :)
3x + 6 =
plss help me with this
Answer:
3× + 6
3+6=9
9×3=3
Finish
Answer:
3
(
+
2
)Step-by-step explanation:
What is m∠PTS? Enter your answer in the box.
Answer:
55
Step-by-step explanation:
m< PTS = m< RTQ since they are vertical angles
11(y-10) = 4y-5
Distribute
11y - 110 = 4y-5
Subtract 4y from each side
11y-110-4y = 4y-5-4y
7y-110 = -5
Add 110 to each side
7y-110+110 = -5+110
7t = 105
Divide by 7
7y/7 = 105/7
y =15
We want to find m<PTS
m< PTS = 11( y-10) = 11(15-10) = 11(5) = 55
decrease 475.29 by 2.1%
9 (4t -5t +3) -6t simplest form
5250 marked down 15%
Answer:
4462.5
need 20 characters
Answer:4462.5
Step-by-step explanation:multiply 5250 by 15% (or 0.15), then subtract that # to get the answer.
5250 x 15% = 787.5
5250-787.5= 4462.5
Find the distance between the points (–4, 6) and (–1, 5).
Answer:
√10 . May be this can help.
The table shows the times of the top six swimmers in the women's 100 meter butterfly at the 2021 Olympic Games.
Answer:
with 6 rows. Column 1 is labeled Place with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Time (seconds) with entries 55.98, 56.87, 56.94, 57.17, 57.27, 57.35. Between which two places is the difference in finishing times the shortest? What is the difference in those times?
Step-by-step explanation:
Help!! I’ll mark brainly list but explain
Answer:
See below, please.
Step-by-step explanation:
[tex] \frac{ {(4a - 3b)}^{3} }{c + 5} \\ \ \\ = \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5} \\ = \frac{ {(( - 8) - ( - 9))}^{3} }{8} \\ = \frac{ {( - 8 + 9)}^{3} }{8} \\ = \frac{ {1}^{3} }{8} \\ = \frac{1}{8} [/tex]
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between the two brands shown. Explain how Jacob can determine which is the better value.
Answer:
Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!
Step-by-step explanation:
Answer:
Compare the unit rates.
The unit rate shows the cost for each ounce.
The lesser unit rate costs less per ounce.
The brand with the lesser unit rate is the better value.
Step-by-step explanation:
Cómo se resuelve paso a paso?
2x+3=18
=>2x+3=18
=>2x=18-3
=>2x=15
=>x=15/2
What is the result when (-12) is subtracted from (- 8) ? *
Answer:
-20
Step-by-step explanation:
All that you have to do for this question is just form the equation:
-12-8=x
And solve, which is:
-20
A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.About how many pancakes can the restaurant make in two hours?
Answer:
198 pancakes.
Step-by-step explanation:
Answer:
198
Step-by-step explanation:
Could someone please help answer this (homework help) will give brainliest, please no spam, thank you!
Answer:
m= 4(25) + 2(7)
m= 100 + 14
m= 114
The difference of an integer p and -8 is 3.Find the value of p
Answer:
-11 or -5
Step-by-step explanation:
If the difference here means subtraction then it's -11, if it means the opposite, then it's -5
Simplify 6 to the 3rd power
Answer:
216Step-by-step explanation:
6 · 6 · 6 = 216
Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)
Answer:
2 √ 3 or 3.46410161
Step-by-step explanation:
I don't know math I just look it up tbh. Hope it helps ya though.
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Step-by-step explanation:
give me brainly lsssssss
an animal sanctuary currently has 125 elk in it. the elk are expected to increase by 20% each yea. How many elk will there be in 3 years
Helpp! Multiply :-19x(x+11)
Answer:
-19x (x+11) = -19[tex]x^{2}[/tex] - 209
Which statement is true
Answer:
D: the total score was between 0 and y
Step-by-step explanation:
correct me if im wrong
NEED HELP QUICK!! Skylar collects coins and stamps. She wants to organize her collections to display them together. She has 56 coins and 72 stamps,
and she wants the same number of each item in each display.
What is the greatest number of displays Skylar can make?
Enter your answer in the box.
Answer:
Step-by-step explanation:
Add 72 and 56 and divide it by the biggest number until the answer is whole
Answer: 8
Step-by-step explanation:
Solve this problem with GCF (Greatest Common Factor).
Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
So, the biggest among the numbers that are matching is 8.
