If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".
As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.
We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.
Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.
Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be \((5000*x)=5000x\).
Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be \([(3000*y)=3000y]\).
Now, we know that,
[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],
Therefore, in this case, total profit from the sale of 3000 sweaters
\(=(3000y-5000x)\\=1000(3y-5x)\).
Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.
Profit: On sale of any goods, a person makes profit if he/she can sell the goods for a higher value than what they had bought for, or what they had manufactured at and is thus, calculated as the difference of total selling price of the goods and the manufacturing cost or buying price of them.Loss: This is the exact opposite of profit and is calculated as the difference of manufacturing cost or buying price of the goods and their selling price.To learn more about Profit and Loss, click on the link below.
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Find the distance between points (1,3) and (9,18) on the coordinate plane.
Answer:
17
Step-by-step explanation:
Use a graph bro and use pythagorean theorem on it
how many sixths are in 7 1/6
All we need to do is turn the mixed number into an improper fraction.
7 1/6 = 43/6
Therefore, there are 43 sixths in 7 1/6.
Best of Luck!
Answer:
43
Step-by-step explanation:
7 1/6 ÷ (1/6) = 43
43 x (1/6) = 7 1/6
Hence, the answer (43) is correct
Write rules for the composition of translations.
Answer: gurl you think i know
Step-by-step explanation:
Need help with a math HW question urgently
If 1
Answer:
E
Step-by-step explanation:
help with this, least to greatest again
please
Answer:
-0.25, -0.15, -0.6
Step-by-step explanation:
- 1/4= -0.25.
Bigger number with negative = smaller number
Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. Suppose a variable star has an average radius of 20 million miles and changes by a maximum of 1.6 million miles from this average during a single pulsation, and that the time between periods of maximum brightness is 5.2 days. Find an equation that describes the radius of this star as a function of time. (Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing.) R(t) =
Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then R(t) = 20 + 1.6sin(2πt/5.2).
The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.
In this case, the amplitude is 1.6.
Since the radius changes by a maximum of 1.6 million miles.
The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)
The phase shift is 0, since when t = 0 the radius is increasing.
The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)
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Choose all the lines that are parallel to the line pictured in the graph bellow.
Answer:
a. y = -½x
b. y = -½x + 3
c. 2y = -x - 4
e. x + 2y = 8
Step-by-step explanation:
Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.
First, find the slope of the line on the graph:
\( m = \frac{y_2 - y_1}{x_2 - x_1} \)
Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)
\( m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2} \)
Slope of the line on the graph is -½.
Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.
Slope-intercept form is given as y = mx + b, where, m = slope.
Option 1: y = -½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 2: y = -½x + 3
The slope of this line is also -½, therefore it is parallel to the line on the graph.
Option 3: 2y = -x - 4
Rewrite in slope-intercept form.
y = -x/2 - 4/2
y = -½x - 2
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 4: y = 2x - 5.
The slope of this line is 2, therefore it is NOT parallel to the line on the graph.
Option 5: x + 2y = 8
Rewrite in slope-intercept form.
2y = 8 - x
y = 8/2 - x/2
y = 4 - ½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
Find the volume of this rectangular prism
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
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Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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Find the equation of the line.
Use exact numbers.
Answer:
Step-by-step explanation:
IJ is a midsegment of triangle MLN. What is the length of segment IJ?
The length of segment IJ is 6 units.
What is a line segment?
A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
Given that IJ is a midsegment of △LMN.
The line segment IJ is parallel to NL.
Thus the length of IJ is half of NL.
Therefore,
2 × IJ = LN
2 (x + 3) = 3x
2x + 6 = 3x
Subtract 3x from both sides:
-x + 6 = 0
x = 6.
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Drawing a number divisible by 3 then drawing a 1
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
Which angles below are equal to ∠CDB?
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
Use the number line below, where RS= 5y +5, ST = 4y + 8, and RT = 67.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
Answer:
y = 6RS = 35ST = 32Step-by-step explanation:
The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.
SetupRS +ST = RT
(5y +5) +(4y +8) = 67
SolutionSimplifying, we get ...
9y +13 = 67
9y = 54 . . . . . . . . subtract 13
y = 6 . . . . . . . . . divide by 9
RS = 5y +5 = 5·6 +5 = 35
ST = 4y +8 = 4·6 +8 = 32
The values of interest are ...
y = 6RS = 35ST = 32Please help me
11-x>17
Answer:
x < -6
Step-by-step explanation:
Answer:
-7 or x <-6
Step-by-step explanation:
To add to a number that’s in a subtracting equation you must use a negative number because a negative with a subtraction equals adding
Question 6 of 10
What is the solution to the system of equations graphed below?
y = -2x + 4
y=x-5
Answer:
the solution to the system of equations is (x, y) = (3, -2).
Step-by-step explanation:
y = -2x + 4 (Equation 1)
y = x - 5 (Equation 2)
To solve for x, we can equate the right sides of the equations:
-2x + 4 = x - 5
Now, we can solve for x:
-2x - x = -5 - 4
-3x = -9
x = (-9) / (-3)
x = 3
Substituting the value of x back into Equation 2, we can solve for y:
y = 3 - 5
y = -2
A small barrel can hold 2041.11 cubic centimeters sand. The radius of a barrel is 7 cm, what is the height of the barrel? Use 3.14 for pi. Round your answer to the nearest hundredth
Answer:
Step-by-step explanation:
I'm assuming that the barrel is in the shape of a cylinder..
Givens
r = 7
pi = 3.14
V = 2041.11
Formula
V = pi * r^2 * h
h = V / (pi * r^2)
Solution
h = 2041.11/(3.14 * 7^2)
H = 2014.11 / 153.86
H = 13.09
Using the given sets of points, identify slope (m), y-intercept (b), and write the equation. (0, 4) and (-1, -1)
Answer:
y = 5x + 4
Step-by-step explanation:
Its a given that the y intercept is 4 because on that point x = 0
B= 4
now you solve for your slope using y - y' / x - x'
when you plug in the numbers you get -1 - 4 / -1 - 0 which simplfies to -5 / -1 which simplifies just to 5, so we know the slope is = 5
now we just plug In and the base equation is y = mx + b.
a pharagraph on water
Answer:
Water is the only molecule because of which life is possible on Earth. In outer space, the conditions are so hostile that Water cannot be found in its natural form- liquid. This liquid Water has been giving us sustenance throughout billions of years.
Step-by-step explanation:
mark me brainleit plss
CORRECT ANSWER GETS BRAINLEYY
Answer:
D
Step-by-step explanation:
\(w = x + \frac{y}{z}\\\\w-x = \frac{y}{z}\\\\(w - x)*z = y\\\\z = \frac{y}{w-x}\)
Akiko walks 23 mile in 14 hour. What is Akiko's unit rate in miles per hour?
Answer:
1.64 miles per hour or 23/14
Step-by-step explanation:
Answer:
1.6 mph
Step-by-step explanation:
you would need to divide the miles by the hours giving you the answer.
The lengths of the three sides of a triangle are x + 15 , 2x + 15 and x + 12 (where x cannot equal zero). What is the perimeter of the triangle?.
The perimeter of the triangle is 3x + 42.This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42.
The perimeter of a triangle is the sum of the lengths of its three sides. In this problem, the lengths of the three sides of the triangle are given as x + 15, 2x + 15, and x + 12, where x cannot equal zero. To calculate the perimeter of the triangle, we need to add these three lengths together. This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42. Therefore, the perimeter of the triangle is 3x + 42.
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Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 15. The hypotenuse is marked 39.
Answer:
36
Step-by-step explanation:
you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer
The Pentagon's ABCDE & PQRST are similar find the length X of QR
Please help I will give 50 points and give branliest!!!!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
qual é a raiz quadrada de 84
a. What is an alternating series? An alternating series is a ______________ whose terms are _____________
b. Under what conditions does an alternating series converge?
c. If these conditions are satisfied, what can you say about the remainder after n terms?
Answer:
A) An alternating series is a "SERIES" whose terms are "ALTERNATIVELY POSITIVE AND NEGATIVE"
B) -It's nth term converges to zero.
- Its terms are non-increasing. This means that each term is either less than or equal to it's predecessor provided we ignore the minus signs.
C) |R_n| = |S - S_n| ≤ |a_(n+1)|
Step-by-step explanation:
A) An alternating series is a "SERIES" whose terms are "ALTERNATIVELY POSITIVE AND NEGATIVE"
B) The 2 conditions for an alternating series to converge are;
-It's nth term converges to zero.
- Its terms are non-increasing. This means that each term is either less than or equal to it's predecessor provided we ignore the minus signs.
C) If the conditions in B above are satisfied, then we can write for the remainder terms that;
|R_n| = |S - S_n| ≤ |a_(n+1)|
Where;
R_n is remainder after n-terms
S is sum of the first n-terms
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The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
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How do I create a histogram for the data?
Answer:
Group by buckets and use that information to make your histogram.
Step-by-step explanation:
When you make a histogram you need to group elements into buckets, and out of those buckets make your histograms. You could for example take the mean or the median of groups and out of that information make the histogram. That is your decision.
For example that you have
JM 85
JM 73
so the mean between 85 and 73 is 79 , so in your histogram the height of JM would be 79.
To summarize, you group by buckets and use that information to make your histogram.
After basketball practice, 8 players equally shared 3 water bottles of water. What fraction of a bottle did each player get?
Answer:
3/8
Step-by-step explanation:
You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.