Ok so we first have 18/18 when he doesn't loose any.
Lets take off 6 from the numerator which is.. 12/18
So.. your answer is 12/18 marbles left.
BUT!! if it were to be simplified... it would be. 2/3
ONLY USE 2/3 IF IT ASKS FOR SIMPLIFIED!!
Hope this helps. :)
Solve this problem with a proportion: The ratio
of busy beavers to chatty chipmunks is 11 to
12. If there are 48 chatty chipmunks, how
many busy beavers are there?
The number of busy beavers is found as 33.
Explain about the proportion of numbers?Mathematical proportions are comparisons of two numbers typically represent objects or persons. They are frequently expressed as fractions or with a colon.A mathematical comparison of two numbers is called a percentage.The given ratio:
busy beavers/ chatty chipmunks = 11/ 12
For, 48 chatty chipmunks
busy beavers/ 48 = 11/ 12
busy beavers/ 48 = 11/ 12
busy beavers = 11*3
busy beavers = 33
Thus, the number of busy beavers is found as 33.
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4 - dictado audio you will hear a conversation. Listen carefully and write what you hear during the pauses. The entire conversation will then be repeated so you can check your work
According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.
What is the conversation about?To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.
Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.
Note: This question is incomplete. Here is the complete information:
Conversation:
Hello
Hello, How are you?
I am fine, and you?
i am fine too, What are you doing?
I am studing for an exam this week.
Oh, sorry I won´t distract you.
Don´t worry.
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Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent?
Answer:
x=3,y=11 (which is A on Edge)
Step-by-step explanation:
solve for y - 11-4=7
solve for x - 2(3) +3 = 9
This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w.
d ≥ 36
w < 68
d ≤ 4 + 2w
Which statements must be true about their heights? Select three options.
Darius is at least 36 inches tall.
Darius is at most 36 inches tall.
William’s height is less than 68 inches.
William’s height is at least 68 inches.
Darius is less than 4 inches taller than twice William’s height.
Darius is no more than 4 inches taller than twice William’s height.
(A) Darius is at least 36 inches tall.
(C) William’s height is less than 68 inches.
(F) Darius is no more than 4 inches taller than twice William’s height.
Step-by-step explanation:
edge2022
The inequality w < 68 can be written as William’s height is less than 68 inches.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.
Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')
Here, d ≥ 36
Darius is at least 36 inches tall.
w < 68
William’s height is less than 68 inches.
d ≤ 4 + 2w
Darius is no more than 4 inches taller than twice William’s height.
Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.
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A scale drawing of a room is shown below. In the drawing, the room is 7 1/2 inches long and 5 inches wide. What is the actual area of the room? Please help
Answer:
The area of the room is 37.5 square inches.
Step-by-step explanation:
Consider that the room is rectangular in shape.
The dimensions of the rooms are:
Length (l) = 7.5 inches
Breadth (b) = 5 inches
The area of a rectangle is:
Area = l × b
Compute the area of the room as follows:
Area = l × b
\(=7.5\times 5\\=37.5\)
Thus, the area of the room is 37.5 square inches.
if a ferris wheel with radius 180 feet makes 1 full revolution every 8 minutes, what is its linear speed?
The linear speed is 141.37ft/min.
The relation between the linear speed v and rotational speed (ω) is given by the relation
v=rω.
we know that rotational speed is the speed with which we measure rotations. So
ω=Number of Rotations/Time in minutes.
linear speed:
v=2πrn/T
Linear speed is defined as the wheel would have traveled, had it been rolling on a flat surface.
The given information is the revolution speed of the Ferris wheel as 1 revolution in 8 min.
we can observe that if the wheel rotates one full revolution, the distance that it covers is equal to the circumference of the wheel. In one revolution the distance it travels is
2*π*(180)
distance=1130.9733 ft.
Also, it takes 8 min to complete the distance. so the linear speed is
speed=distance/time
=1130.9733/8
speed=141.37 ft/min.
Hence, the linear speed of the Ferris wheel is 141.37 ft/min.
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what is the equation of (-3,12) and (0,7)
Answer:
the answer is y=-5/3x+7
Step-by-step explanation:
y=mx+b
7=m0+b
you need to find m and b. to find m use y2-y1/x2-x1
7-12/0--3
-5/3=m
to find b plug everything into the equation y=mx+b and solve (you just pick one point to plug in, i chose the second)
7=-5/3(0)+b
7=b
so the answer is y=-5/3x+7
Please help I need this done by tomorrow
Answer:
n = 9
Step-by-step explanation:
We require to consider \(\sqrt{n+16}\)
For it to be a natural number then it must be a perfect square
If n = 9 , then
\(\sqrt{9+16}\) = \(\sqrt{25}\) = 5
and
\(\frac{n}{3}\) = \(\frac{9}{3}\) = 3
34 + n = 34 + 9 = 43
5, 3, 43 ∈ natural numbers
Then n = 9 is the smallest value
An angle measures 50.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
10
Step-by-step explanation:
7. The ratio M&Ms to Skittles sold at a roller rink is 3 to
Answer:
3to what ever other number you have left
Step-by-step explanation:
a baker is deciding how many batches of muffins to make to sell in his bakery. he wants to make enough to sell to everyone and no fewer. through observation, the baker has established a probability distribution. what is the probability the baker will sell exactly one batch? (find p(x
Form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.
As given in the question,
Probability distribution established by baker :
x : 1 2 3 4
P(x) : 0.10 0.30 0.40 0.20
As it is give that number of batches made by baker to sell muffins .
For selling 1 batch x = 1.
For selling 2 batch x = 2.
For selling 3batch x = 3.
For selling 4 batch x = 4
Probability of selling exactly one batch by baker is given by when x =1
Probability of x = 1 is given by :
P( x = 1 ) = 0.10
Therefore, form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.
The complete question is :
A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. x P(x) 1 0.10 2 0.30 3 0.40 4 0.20 What is the probability the baker will sell exactly one batch.
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one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answer:
30 moviegoers
Step-by-step explanation:
1% of 150 is 1.5
20% of moviegoers recommend the movie
1.5 times 20 = 30
45,987,159.9 in short form
Answer:
forty-five million, nine hundred eighty-seven thousand, one hundred fifty-nine, point nine
Step-by-step explanation:
forty-five million, nine hundred eighty-seven thousand, one hundred fifty-nine, point nine
why is the cartesian coordinate system also called a plane
The Cartesian coordinate system is also referred to as a plane because it represents a two-dimensional space.
In mathematics, a plane is a flat surface that extends infinitely in all directions. The Cartesian coordinate system consists of two perpendicular lines, known as the x-axis and y-axis, which intersect at a point called the origin. These axes divide the plane into four quadrants.
The term "plane" in the context of the Cartesian coordinate system originates from the concept of a geometric plane, which is a fundamental concept in Euclidean geometry. In Euclidean geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions.
The Cartesian coordinate system borrows this concept and applies it to represent points, lines, curves, and shapes in a two-dimensional space.
By using the Cartesian coordinate system, we can assign coordinates (x, y) to any point in the plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.
This system allows us to precisely locate and describe objects or phenomena within the two-dimensional space, making it a valuable tool in various fields such as mathematics, physics, engineering, and computer graphics.
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What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
0162 √3
0162
081 √6
018 √3
The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.
What is a Rhombus ?A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.
Let x be the half of the other diagonal.
tan 60 = x / 9
x = 9 tan 60
x = 9√3
Area of the Rhombus = (d1 * d2 /2 )
d1 and d2 are the length of the diagonal.
Area of the Rhombus = (9*2)(2 *9√3)/2
Area of the Rhombus =162√3 sq.unit
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x over 3 subtracted by 4 = 6
Answer:
x = 30
Step-by-step explanation:
Solving for x, I assume.
x/3 - 4 = 6
x/3 = 10
x = 30
Ernily has 6 pages of homework to do. If she can finish of a page in one hour, how many hours will
her homework take?
Answer:
6 Hours
Step-by-step explanation:
1 hour per page.
work out the distance between the two shops
The actual distance between the two shops is 225 meters.
The map scale of 1 cm: 50 m means that every 1 centimeter on the map represents 50 meters in real life. Using this information, we can calculate the actual distance between the two shops given that the distance on the map is 4.5 centimeters.
To do this, we can use the following formula:
Actual distance = Map distance x Scale
Plugging in the values we have:
Actual distance = 4.5 cm x 50 m/cm
Actual distance = 225 m
It is important to use map scales correctly to accurately represent distances on a map. This can be helpful in many situations, such as planning routes for travel, determining the distance between locations, and estimating travel time. It is also important to note that maps are only representations of reality and may not always be perfectly accurate.
Correct Question :
A map has a scale of 1 cm: 50 m. The distance between 2 shops is 4.5 cm. Work out the actual distance between the shops?
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The distribution of retirement age for NFL players is normally distributed with a mean of 33 years old and a standard deviation of about 2 years. What is the percentage of players whose age is less than 31? a 30.85% b 15.87% c 71.2% d 69.15%
The correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.
To find the percentage of players whose age is less than 31, we can use the standard normal distribution and z-scores.
First, we need to calculate the z-score for the value 31 using the formula:
z = (x - μ) / σ
where x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.
In this case, x = 31, μ = 33, and σ = 2. Plugging these values into the formula, we get:
z = (31 - 33) / 2 = -1
Next, we can look up the cumulative probability associated with the z-score -1 in the standard normal distribution table. The cumulative probability represents the percentage of values that are less than the given z-score.
From the standard normal distribution table, the cumulative probability for z = -1 is approximately 0.1587, which corresponds to 15.87%.
Therefore, the correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.
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let R be the region bounded by y=x^2, x=1, y=0. Use the shell method to find the volume of the solid generated when R is revolved about the line y = -4
onsider the following production function: y = F(L, K) = 4L3 K} = where L and K are the amount of labour and capital used in the production process, and y is the output. Throughout this question, the output price p is 3 and the rental rate of capital r is 1. We will first consider a firm in the short run, where the amount of capital is fixed at K = 64. The fixed cost is therefore 64. = (a) (Level A) Is there diminishing returns to labour? Explain. (b) (Level A) Suppose the wage rate w is 1. Find the profit-maximising choice of L. Calculate the profit-maximising output level and the maximised profit. (There is no need to check the second order condition but of course you can check if you want to.) (c) (Level A) Now suppose w increases to 2. Find the profit-maximising choice of L. Calculate the profit-maximising output level and the maximised profit. (There is no need to check the second order condition.) You can leave your answers in square roots. (d) (Level A) What is the change in L when w increases from 1 to 2 in the short run? You can leave your answers in square roots.
Yes, there are diminishing returns to labor in the given production function.
What is the profit-maximizing choice of labor and the resulting output and profit level when the wage rate is 1?
There are diminishing returns to labor in the given production function. As more units of labor (L) are added while holding capital (K) constant, the increase in output (y) becomes smaller and smaller. This is indicative of diminishing marginal product of labor.
When the wage rate (w) is 1 and the capital (K) is fixed at 64, the profit-maximizing choice of labor (L) can be found by equating the marginal product of labor (MPL) to the wage rate. In this case, MPL = 12L^2K.
Setting MPL = w, we have 12L^2K = 1. Substituting K = 64, we get 12L^2 * 64 = 1. Solving for L, we find L ≈ 0.0917.
The profit-maximizing output level (y) can be calculated by substituting the values of L and K into the production function. Thus, y = 4L^3K = 4(0.0917)^3 * 64 ≈ 0.026.
The maximized profit can be determined by subtracting the total cost (TC) from the total revenue (TR). Since the fixed cost is given as 64, TC = 64 + wL = 64 + 1(0.0917) ≈ 64.092. TR is the product of the output level and the price, which is 0.026 * 3 = 0.078.
Profit = TR - TC ≈ 0.078 - 64.092 ≈ -63.014.
Diminishing returns to labor imply that as more labour is employed while holding other factors constant, the incremental increase in output becomes smaller. In the given production function, this phenomenon is observed. In the short run, with a fixed capital level of 64, we determine the profit-maximizing choice of labour (L) when the wage rate (w) is 1. By equating the marginal product of labour (MPL) to the wage rate, we find L ≈ 0.0917. Substituting this value into the production function, we calculate the profit-maximizing output level as y ≈ 0.026. The maximized profit is determined by subtracting the total cost (TC) from the total revenue (TR), resulting in a profit of approximately -63.014. This analysis helps understand the relationship between input choices, output levels, and profit optimization in the short run.
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Find the lateral surface area of the paint can. Round your answer to the nearest hundredth.
LO
Lateral SA =
815
5
Linterior
Latex Paint
Orange
1 gal
-IN
7
How many solutions does this system have? x 4 y = 6. Y = 2 x minus 3. One two an infinite number no solution.
The given system has a unique solution. A unique solution means there is only one solution. Therefore, the answer is: One.
The given system is x + 4y = 6 and y = 2x - 3.
How many solutions does this system have?
This given system has a unique solution.
Let's solve the given system to include a conclusion as to how many solutions the system has.
x + 4y = 6
y = 2x - 3
Let's substitute in the second equation to the first one and solve the system:
x + 4(2x - 3) = 6
x + 8x - 12 = 6
12x = 18
x = 18/12
= 3/2
y = 2x - 3
= 2(3/2) - 3
= 0
We have solved the system and the value of x = 3/2 and y = 0. Therefore, the given system has a unique solution.
A unique solution means there is only one solution of the given system of equations.
Thus, we can say that the given system of equations has one solution. Therefore, the answer is: One.
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which equivalent expression will be generated by applying the distributive property and combining like terms in the expression 11+4(x + 2y+4)
A. 4x + 2y + 27
B. 4x + 8y + 11
C. 4x + 8y + 27
D. 4x + 8y + 10
Answer:
None of these are right
Step-by-step explanation:
None of them are right because it is 18 not 27 or 10 or 11
Answer:
c.
Step-by-step explanation:
11+4(x + 2y+4)
11+4x+8y+16
combine 11 and 16
4x+8y+27
What is the total number of digits required in numbering the pages of a book, which has 1, 150 pages?
Answer:
3,493 digits
Step-by-step explanation:
Total pages of the book = 1,150
Page 1 - 9 = 9 digits
Page 10 - 99
= 2 * 90 pages
= 180 digits
Page 100 - 999
= 3 × 900 pages
= 2,700 digits
Page 1000 - 1,150
= 4 × 151 pages
= 604 digits
Total digits required in numbering 1,150 pages = 9 + 180 + 2,700 + 604
= 3,493 digits
Total digits required in numbering 1,150 pages = 3,493 digits
Work out the value of x! Will award brainiest
Answer:
X=67.5
Step-by-step explanation:
90+X +3x =360
4x=360-90
X=270/4=67.5
The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use string to create a border around the outermost edge of the sign. About how many inches of string does Annie need?
132 in
Step-by-step explanation:
Take the total radius = 18+3 = 21= R (say) Simply use the formula for the circumference i.e. 2*pi*R2*22/7*21= 13216. Solve for x. x = __________
Answer:
20
Step-by-step explanation:
What is the solution of equations 8x 3y 5 3x 2y 5 *?
The solution of the given system of equations 8x+3y=5 and 3x-2y=5 is x = 1 and y = -1
In this question we have been given a system of equations.
8x+3y=5 ..........(1)
and 3x-2y=5 ..........(2)
We need to find the solution of the given system of equations.
As right hane side of both equations is equal, we equate LHS of both equations.
so, we get,
8x + 3y = 3x - 2y
⇒ 8x - 3x = - 2y - 3y
⇒ 5x = - 5y
⇒ x = - y .............(3)
By substituting x = - y in equation (1), we get,
8 ( - y ) + 3y = 5
⇒ - 8y + 3y = 5
⇒ - 5y = 5
⇒ y = - 1
Substitute above value of y in equation (3)
⇒ x = - (- 1)
⇒ x = 1
Therefore, x = 1 and y = -1 is solution of given equations.
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Help given the graph of the function below what happens to f(x) when x is a small positive number?
Answer:
A
Step-by-step explanation: