Answer:
$6.5
Step-by-step explanation:
The marginal utility per dollar of a commodity is obtained by:
Marginal utility of coffee = 5.5
Price of coffee = $1
The marginal utility of doughnut declines by 1 per additional unit of donut consumed :
10 / 1, 9 /1..... 1/1
Therefore , before a dollar can be spent on coffee, then the marginal. Utility of coffee should be greater than doughnut.
5.5 doughnuts will be purchased, at this time marginal utility of doughnut will be 5.5/1, the 6th doughnut will have a marginal utility of 5 which is less than that of coffee.
Cost of 5.5 donuts = $5.5
Cost of coffee = $1
Total = $(5.5 + 1) = $6.5
Michelle lives 4.5 miles from work. Kelly lives 5.6 kilometers from work. Staci lives 4,200 meters from work. Kyle lives 670,000 centimeters from work.
Answer:
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Step-by-Step Explanation:
1 kilometer = 0.62137119 mile(s)
4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers
4,200 meters = 4.2 kilometers
670,000 centimeters = 6.7 kilometers
So,
Michelle = 2.8 kilometers (rounded up)
Kelly = 5.6 kilometers
Staci = 4.2 kilometers
Kyle = 6.7 kilometers
So,
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Hope this helps! ^^
a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line
Answer:
Draw a line of a givens point
what is the speed of a bowling ball that travels 100 meters in 5 seconds
what is 5+1 please hurry
Answer: 6
Step-by-step explanation:
Explain how to solve 2(x-1)=-200
I attached the answer below. Please take a look. You're welcome.
Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?
The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?
Answer:
6; 8; 10
Step-by-step explanation:
First side: x
Second side: x+2
Third side: x+4
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 18
x=6
First side: 6
Second side: 8
Third side: 10
Write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)
Answer:
The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
Step-by-step explanation:
We need to write an equation in slope-intercept form perpendicular to the given equation through the given point
y = -3x + 4
(6,-2)
The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding slope:
The given line is perpendicular to required line, so there slopes are opposite
The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)
The slope of required line is: [tex]m = \frac{1}{3}[/tex]
Finding y-intercept:
y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)
[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]
So, we get y-intercept b =0
Equation of required line:
So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:
[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
If you spin the spinner, what is the probability of the pointer landing in the y section
Answer:
1/8
Step-by-step explanation:
How many solutions does this equation have?
–4s = –10 − 5s
does it have 1 solution or zero or infinity many solutions
[tex] - 4s = - 10 - 5s \\ - 4s + 5s = - 10 \\ s = - 10[/tex]
Answer Check by substituting s = -10 in the equation.[tex] - 4( - 10) = - 10 - 5( - 10) \\ 40 = - 10 + 50 \\ 40 = 40 \: \: \tiny \boxed{ \green \checkmark}[/tex]
SolutionsNo Solutions
When both sides of equation are different. For example, 3 = 4 which makes the equation false. That means the equation is false for all real numbers, thus having no solutions.
One Solution
A common type solution because you see this type of solution a lot. If you can solve the equation for a variable like x = 2 or s = 0. That's one solution.
Infinitely Many Solutions
When both sides are same like 3 = 3 or 7 = 7. That means the equation is true for all real numbers. You can see this type of solution by solving the equation with same both sides like 3x+2 = 3x+2.
AnswerBecause we can solve the equation for s-term. Therefore the answer is one solutionYou plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x
Answer:
[tex]y = 4x + 6[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fee = \$6.00[/tex]
[tex]Rate = \$4.00[/tex]
Required
Derive the linear equation
Let the number of games be x.
Let the total cost be y
So, if the rate of 1 game is $4
Then x games costs 4x
The total cost (y) is then calculated as:
y = Initial Fee + Cost of x games
Substitute values for initial fee and cost of x games
[tex]y = 6 + 4x[/tex]
Rewrite as:
[tex]y = 4x + 6[/tex]
8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm
Answer:
Step-by-step explanation:
A = (3.14)(8)2
= 200.96
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
Do my boys got me? Also giving brainliest ! Need D, E, and F
Answer:
Darn, I could have helped you but I'll leave it to the boys :) goodluck!!
can anyone answer 7(x+3) and show work ?
Answer:
7x + 21
Step-by-step explanation:
7(x+3)
7x + 7(3)
7x + 21
when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number
Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
Who earns more per hour, and what is his or her pay rate?
Helppppppppppppppppppppp due in 2hrs
plz watch for more questions
Answer:
2x = 3
Step-by-step explanation:
Here we have a balanced equation using the hanger method.
The left side shows two x'es, so the left side of the equation should be 2x.
The right shows three units with a value of "1", so the right side of the equation should be 3.
As a result, 2x = 3 is our final answer.
Jerome works as a waiter. He earns $80 each weekend plus 15% in tips on meals served. Jerome served $725 worth of meals last weekend how much did Jerome? earn last weekend?
Answer:
725/100 X 15 = 108.75
108.75 + 80 = 188.75
weekend = $188.75
What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
What is solution of 5(x - 3)=4(x + 2)
Answer:
x=23
Step-by-step explanation:
You simplify both sides of the equation, then isolate the variable.
Answer:
x=23
Step-by-step explanation:
Which type of function is shown in the table below?
Answer:
Linear function
Step-by-step explanation:
None of the X values repeat so its Linear
Can someone please explain to me how I would do this, I cannot figure out how to do this equation at all!!
Answer:
First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.
Answer:
The expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{4x^5}{8x}[/tex]
We need to simplify the expression.
Simplifying the expression
[tex]\frac{4x^5}{8x}[/tex]
Cancel the common factor: 4
[tex]=\frac{x^5}{2x}[/tex]
Cancel the common factor
[tex]=\frac{x^4}{2}[/tex]
Therefore, the expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
For example: 5x^2 - 6x = 30x^3
Write these amounts as ratios in the simplest form
75 cm to 1.5 m (c)
Step-by-step explanation:
75 cm =0.75 m
0.75/1.5=0.5
0.5=5/10=1/2
1:2
Answer:
ratio 1 to 2
Step-by-step explanation:
first convert 75cm to m
which is equal to 0.75m
0.75/1.5 =1 /2
the answer is 1 to 2
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
Step-by-step explanation:
the answer is 24:8
Please answer this questions step by step
Answer:
(a) When a = 4 and b = -5, a² + b² - a·b = 61
(b) When a = 4 and b = -5, a³·b + a·b² = -220
(c) [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]
(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82
Step-by-step explanation:
The question relates to evaluation of expressions, given the values of the variables, "a" and "b"
Where;
a = 4 and b = -5
(a) For a² + b² - a·b, we have;
a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61
(b) For a³·b + a·b² we have;
a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220
(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;
[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]
[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]
(d) For (a + b)² - (a - b)² we have;
(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82
When a = 4 and b = -5, (a + b)² - (a - b)² = 82
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answer:
hi deez
Step-by-step explanation:
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?
Answer:
4:7 7 being to total number of marbles (part to whole ratio)
There are 16 blue marbles were in the bag before I added more.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratio of blue marbles to yellow marbles is 4 : 3.
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Now,
Since, The ratio of blue marbles to yellow marbles is 4 : 3.
Hence, Number of blue marbles = 4x
Number of yellow marbles = 3x
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Then, We can formulate;
⇒ 4x + 5 / 3x - 3 = 7x / 3x
⇒ (4x + 5) / (3x - 3) = 7 / 3
⇒ 3 (4x + 5) = 7 (3x - 3)
⇒ 12x + 15 = 21x - 21
⇒ 15 + 21 = 21x - 12x
⇒ 36 = 9x
⇒ x = 4
Thus, The number of blue marbles = 4x
= 4 × 4
= 16
Learn more about the ratio visit:
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