Answer:
3,147.44828
Step-by-step explanation:
[tex] \frac{6}{87} \: of \: 45638 \\ \\ = \frac{6}{87} \times 45638 \\ \\ = 6 \times 524.574713 \\ \\ = 3,147.44828[/tex]
Joey likes beer and whisky and spends £75 in total on drink. His utility function for whisky (w) and beer (b) is = 5 + .
He can buy beer at £2 a can but the liquor store tries to discourage overconsumption of spirits by charging higher prices for larger quantities: the cost in dollars of bottles of whisky works out at !.
a. How many cans of beer and how many bottles of whisky does Joey consume?
b. Illustrate your answer with a clearly labelled diagram showing Joey's budget constraint and his indifference curve passing through the optimal consumption bundle.
c. Joey's friend Ross shops at the same liquor store and spends the same amount on drink. Jim, however, insists on drinking beer and whisky together. His utility function is = min{5, } How much beer and whisky does Jim buy?
To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:
Joey's Utility Function and Budget Constraint:
Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)
w: The quantity of whisky (in bottles) consumed by Joey
b: The quantity of beer (in cans) consumed by Joey
Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.
To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.
Joey's Budget Constraint:
Joey's total expenditure on drink (E) is given by: E = 2b + 6w
And we know that E = £75.
So, the budget constraint is: 2b + 6w = 75
Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.
Joey's Indifference Curve and Budget Constraint Diagram:
To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.
Jim's Utility Function and Consumption:
Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}
Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.
Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.
In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.
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can you pleas help me fine answer for
y-9=7(x-10)
Answer:
down below
Step-by-step explanation:
x = y/7 + 61/7
y= 7x - 61
Which of the following fraction pairs is equivalent?
6/12 and 8/20. 16/20 and 20/35. 2/6 and 7/21. 8/24 and 8/20
Answer:
2/6 and 7/21
Step-by-step explanation:
Write an expression for "h less than 13"
Answer:
13-h is h less than 13. this is how you answer this.
Hey there!
Sometimes “less than” means “>” ( a number smaller than the number that’s being compared to) or “subtraction”
So, therefore your answer should be
[h < 13] or [h - 13]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.
Answer:
three times the two foot wave wuold be the six foot wave
Step-by-step explanation:
because its right
Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.
Answer:
42
Step-by-step explanation:
Answer:
I'm not 100% sure about this but i think its 42
Step-by-step explanation:
this is what i did
32/16=2
2*21=42
Solve the proportion
20/3 = ?/6
Answer:
40
Step-by-step explanation:
3 x 2 = 6 so then 20 x 2 = 40
5x−4=16
what do i do
Answer:
x=4
Step-by-step explanation:
5x-4=16
5x-4+4=16+4 add 4 to each side
5x=20 simplify
5x/5=20/5 divide each side by 5
x=4 simplify
Fill in the missing numbers to complete the pattern:
5.81, ,5.91,5.96, ,6.06
pls help 60 POINTS ASAP
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Loading . . .
A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance from the surfer to the shoreline
Step-by-step explanation:
The distance from the surfer to the shoreline will be found as follows:
tan θ= opposite/adjacent
θ=10°
opposite=7ft
adjacent= x ft
substituting the values in our formula and solving for x we get
tan 10=7/x
hence
x=7/tan10
x=39.69897~ 39.7 ft
The surfer is 39.7 ft from the shoreline.
Answer:
The surfer is 39.7 ft from the shoreline.
Step-by-step explanation:
Jack is 1.78 m tall.
Amy is 5 cm taller than Jack.
How tall is Amy?
Answer:
1.83
Step-by-step explanation:
1.78 + 5 cm
because it says she is taller so you add both
Height of Amy who is 5 cm taller than Jack is 1.83 meters.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.
Therefore, The sum of the height of Jack and 5 cm more is the height of
Amy.
Therefore,
178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)
So, 183 cm is equal to 1,83 meters.
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Which of the following graphs represents the equation y=-2x+3?
D
5
5
(0,3)
(0, 3)
(2, 2)
(1, 1)
(1, 1)
X
(-1,-1)
50.-2)
15
(0.3)
- 5
A. Graph A
B. Graph B
C. Graph C
D. Graph D
need help asap
What is the value of g?
___°
Answer:
31 degrees
Step-by-step explanation:
Answer:
31 Degrees
Step-by-step explanation:
Since this is a right angle, it will equal 90 degrees.
Take 90 and subtract 59 to get g.
g = 31 degrees
(-5,-1); 2y=2x-4 help me ASAP please
(-5, -1) is not a solution to the equation 2y = 2x - 4.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
2y = 2x - 4 _____(1)
Ordered pair: (-5, -1)
Now,
(-5, -1) = (x, y)
Substitute in (1)
2y = 2x - 4
2 x (-1) = 2 x (-5) - 4
-2 = -10 - 4
-2 = -14
This is not true.
Thus,
(-5, -1) is not a solution.
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Can someone please help me solve this (7th grade math)
Answer: 8x = 72
Step-by-step explanation:
and in case you need to go any further at any point, x = 9
16q3-48q2+32q what would be the steps on how to do this? please?
Answer:
Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.
so assuming the gaps missng are exponents
the solution is the same exact thing
it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine
same with 32 q, nothing combines
The answer is the original expression
A cylinder has a radius of 3 in and a volume of approximately 136.78 in? What is the height of the cylinder?
Round to the nearest tenth.
Answer:
4.835(I don't know unit.(m/in/cm)
Step-by-step explanation:
volume=πr^2h
136.78=22÷7×3^2×h
h=136.78×7÷(22×9)=4.835
Find the value of x. Your answer must be exact.
х
45° 18
Answer:
x = 63
Step-by-step explanation:
Simplifying
x + -18 = 45
Reorder the terms:
-18 + x = 45
Solving
-18 + x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + x = 45 + 18
Combine like terms: -18 + 18 = 0
0 + x = 45 + 18
x = 45 + 18
Combine like terms: 45 + 18 = 63
x = 63
Simplifying
x = 63
Pls Help!! will give 15 points
solve for x
7(8-x) = 210
Answer:
x=266
Step-by-step explanation:
I'm sure if this is correct but this is how I did it seven times eight is 56 and you have to subtract that number by x so x would have to be bigger so it would be 56 minus 266
will give you 210
Answer:
x=-22
Step-by-step explanation:
7(8-x)=210
you would use the distributive property
56-7x=210
then subtract both sides by 56
-7x=154
then divide both sides by -7
x=-22
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
factorize -pq -pr +mq +mr
Answer:
(q + r) (m - p)
Explanation:
-pq - pr + mq + mrFactor out common term 'p'= -p(q + r) + mq + mr
Factor out common term 'm'= -p(q + r) + m(q + r)
Factor out common term '(q + r)'= (q + r) (-p + m)
(q + r) (m - p)- PNW
a) Write 600 as the product of prime factors.
Give your answer in index form.
Answer:
2^3*5^2*3
Step-by-step explanation:
600=2*2*2*5*5*3=2^3*5^2*3
dave uses the associative property of multiplication to write an expression that is equivalent to 8 times 5 times b which expression did he write
Answer:
The associative property of multiplication
8 . ( 5. b ) = ( 8. 5) . b
Step-by-step explanation:
Explanation
The associative property of multiplication
a . ( b. c ) = ( a. b) . c
Given numbers are 8, 5 and b
The associative property of multiplication
8 . ( 5. b ) = ( 8. 5) . b
8 . ( 5. b ) = ( 8. 5) . b = 40 b
Zoe went shopping for a new pair of pants. The listed price of the pair of pants was
$45, but the price with tax came to $46.35. Find the percent sales tax.
ASAP!
Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
PLEASE HELP!!
Which inequality describes all the solutions to -5x + 6 -9
B. x 4
Answer:
-5x-3
Step-by-step explanation:
-5x+6-9=-5x-3
The inequality that describes all the solutions to the given inequality expression is x > 4
Given the inequality expression -5x + 6 < 2(-3 − x)
Expand the right-hand side of the ineqality
-5x + 6 < -6 - 2x
Collect the like terms
-5x + 2x < -6 - 6
-3x < -12
Divide both sides by -3
-3x/-3 > -12/-3
x > 4
Hence the inequality that describes all the solutions to the given inequality expression is x > 4
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y = 3x + 2
2x + y = 47
x=
y=
Answer:
y=29
x=9
Step-by-step explanation:
plug the first equation into the second one as y
2x+y=47
solve
then plug answer u got in x
y=3(9)+2
solve
It took 8 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles?
Answer:
It will take 3 hours to drive 90miles.
Step-by-step explanation:
240miles/8hours=30miles/1 hr. 90miles/3hours
Which of the following is the equation of a line that has a slope of 5 passes through the point (-3, 7)?
Answer:
y - 7 = m(x + 3)
Step-by-step explanation:
Apply the point-slope formula: y - k = m(x - h)
Then we have y - 7 = m(x + 3)
3.2÷(0.16+0.24)2( the 2 right next to this is a exponent)
