Answers
The maximum revenue of the craftsman is an illustration of objective function
The craftsman can at most make $500, if he makes 100 bracelets
How to determine the maximum revenue?Represent bracelet with b and necklace with n.
From the question, we have:
b n Total
Unit 10 20 1000
Time 10 40 1600
Cost 5 7.5
So, we have the objective function to be:
Max C = 5b + 7.5n
And the constraints are:
10b + 20n ≤ 1000
10b + 40n ≤ 1600
b ≥ 0
n ≥ 0
From the given graph of the constraints, we have the following feasible points
(b,n) = (0,0) (40,30) (0,50) and (100,0)
Substitute these values in the objective function
C(0,0) = 5(0) + 7.5(0) = 0
C(40,30) = 5(40) + 7.5(30) = 425
C(0,50) = 5(0) + 7.5(50) = 375
C(100,0) = 5(100) + 7.5(0) = 500
The maximum revenue is at the point (100,0)
Hence, the craftsman can at most make $500, if he makes 100 bracelets
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Related Questions
"How long does our classmates spend on homework?"
Is this question statistical?
Select one:
Yes, it is statistical.
No, it is not statistical.
Answers
Answer:
No, it's not statistical
Step-by-step explanation:
Which of the following figures has exactly 1 line of symmetry?
Answers
D
hope it helps......!!!!!!!
The Answer is actually B I took the test
Answers
Answer:
hola poop
Step-by-step explanation:
how do i do this? this two
Answers
Answer:
rectangle= 35
triangle= 15
Step-by-step explanation:
rectangle
the length is 5 the width is 7
the formula for area is 5*7
the answer is 35
triangle
the length is 5, the height 6
the formula is 1/2*6*5
the answer is 15
Por cinco boletos para un concierto de rock y tres boletos para un partido de fútbol se pagaron $720 y por dos boletos para el mismo concierto y seis para el mismo partido de fútbol se pagaron $480 ¿Cuál es el valor del boleto para cada uno de los eventos?
Answers
The value of tickets for rock concert is $120 and the value of tickets for soccer match is $40.
How to calculate the value?From the information, for five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480.
Let the value of tickets for rock concert = x
Let the value of tickets for soccer match = y
Based on the information given, the equation will be:
5x + 3y = 720 .... i
2x + 6y = 480 ..... ii
Multiply equation i by 2
Multiply equation ii by 5
10x + 6y = 1440
10x + 30y = 2400
Subtract
24y = 960
y = 960 / 24
y = 40
Therefore, x will be:
5x + 3y = 720
5x + 3(40) = 720
5x + 120 = 720
5x = 720 - 120
5x = 600
Divide
x = 600 / 5
x = 120
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Complete question
For five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480. What is the value of the ticket for each of the events?
Find the area in square meters of a circular pond with a radius of 8 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)
Answers
The area of a circular pond with a radius of 8 ft is, 18.67 m².
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The radius of circle = 8 feet
Now, We know that;
⇒ 1 feet = 0.3048 m
⇒ 8 feet = 8 × 0.3048 m
= 2.4384 m
We know that;
⇒ Area of circle = πr²
Substitute all the values, we get;
⇒ Area of circle = 3.14 × (2.4384)²
⇒ Area of circle = 3.14 × 5.94
⇒ Area of circle = 18.67 m²
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Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))?
Answers
The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\dfrac{\pi}{4}[/tex]phase shift of [tex]\dfrac{\pi}{4}[/tex] to right How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y=f(x)[/tex]A, assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):[tex]y=f(x+c)[/tex]Left shift by c units: earlier)Right shift by c units: [tex]y=f(x-c)[/tex] output, but c units late)Vertical shift:Up by d units: [tex]y=f(x)+d[/tex]Down by d units: [tex]y=f(x)-d[/tex]Stretching:Vertical stretch by a factor k: [tex]y=k\times f(x)[/tex]Horizontal stretch by a factor k: [tex]y=f(\dfrac{x}{k})}[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to
[tex]y=0.35cos(8(x-\pi/4)[/tex]
We can see its vertical stretch by 0.35, right shift by horizontal stretch by 1/8
Period of cos(x) is of length. But 1.8 stretching makes its period shrink to
[tex]\dfrac{2\pi}{8}=\dfrac{\pi}{4}[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35
horizontal compression to period of (which means period of cosine is shrunk to which originally was )
phase shift of to right
Learn more about transformation of functions here:
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Answer:
C on ed
Step-by-step explanation:
got it right
two number cubes, numbered 1 through 6 are rolled. What is the probability that the product of the two numbers are even
Answers
Answer:
[tex]p = \frac{3}{4}[/tex]
Step-by-step explanation:
If we roll two number cubes we can summarize the results of products in the following table (Check table in the attachment)
According to table of product:
we roll two numbers with an even product in 27 cases out of a total of 36 result.
Then The probability of rolling two numbers where their product is an even number is :
27/36 = 3/4
Solve this quadratic equation using the quadratic formula.
2x 2 - 10x + 7 = 0
Answers
I hope this helped! :)
S and E are midpoints of BA and AM, respectively. Use the properties of mid segments to find the perimeter of BAM
Answers
Answer:
50 inches
Step-by-step explanation:
Given: S and E are the midpoints of BA and AM. and EM = 9
Therefore, then the length of AB = 18 and AM = 18
Use the similar triangle properties.
7/BM = 9/18
BM = (7*18)/9
BM = 7*2 = 14 inches.
Therefore, the perimeter of BAM is = AB + BM + AM
= 18 + 14 + 18
= 50 inches
Answer:
50 in
Step-by-step explanation:
find the degrees and terms
6x⁴ + 3x² + 9 =
Answers
Answer:
3 Terms and Degree is 6
Step-by-step explanation:
3 Terms and Degree is 6
How to find degrees:
4 + 2 = 6
) Which point on the number line shows the position of squared 77
point A
point B
point C
point D
Answers
Answer: C
Answer number 13 please. Thank you.
Answers
Dylan, since he grew by 4 centimeters. Also, the starting number is lower, which means the percentage would also be bigger in the first place.
The figure below is an example of a ____ ____ which is basically a solid that has been sliced by a plane
HELP PLEASE WORTH 23 points
Answers
Answer:
D. Cross section
Step-by-Step Explanation:
It is sliced showing the bottom part, so it is showing a cross section.
What is the value of log subscript 625 baseline 5? –4 negative one-fourth one-fourth 4
Answers
The value of log subscript 625 baseline 5 is 1/4.
What is a log function?The logarithmic function is an inverse function to exponentiation.
Rewrite as an equation.
[tex]\rm log_{625}{(5)} = x[/tex]
Rewrite log625 (5) = x in exponential form using the definition of a logarithm.
If x and b are positive real numbers and b does not equal 1, then log(x) = y is equivalent to b^y = x.
[tex]\rm 625^x=5[/tex]
Create expressions in the equation that all have equal bases.
[tex]\rm (5^4)^x=5^1\\\\5^{4x}=5^1\\\\4x=1\\\\x=\dfrac{1}{4}[/tex]
Hence, the value of log subscript 625 baseline 5 is 1/4.
To know more about the log function click the link given below.
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Answer:
1/4
Step-by-step explanation:
4) If rectangle WXYZ has slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)
Answers
Its now in (3,2) if goes right 3 points then x becomes 6 so (6,2)
have a nice day!
A sound wave travels through iron at a rate of 3120 / s . At what rate does the sound wave travel in / h?
Answers
Answer:
11,232km/h
Step-by-step explanation:
You have 3120m/s and want kilometers per hour. There are 1000m in 1km, and 3600sec in 1h:
[tex] \frac{3120}{1} \frac{m}{s} \times \frac{1}{1000} \frac{km}{m} \times \frac{3600}{1} \frac{s}{h} [/tex]
Meters cancel. Seconds cancel. This leaves kilometers per hour:
[tex] \frac{3120 \times 3600}{1000} \frac{km}{h} = 11232 \frac{km}{h} [/tex]
Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at
$8. 50, three bags of popcorn for $1. 25 each, and two soft drinks for $1. 50 each?
3(8. 50 +1. 25 +1. 50) +5. 25 = 38. 90
1. 0525{3(8. 50 +1. 25 +1. 50)} = 35. 52
1. 0525{3(8. 50 +1. 25) +2(1. 50)} = 33. 94
3(8. 50 +1. 25 +1. 50) +. 0525 = 33. 82
O3(8. 50 +1. 25) + 2(1. 50) +. 0525 = 32. 30
Answers
Answer:
33.94
Explanation:
First start off by finding the total regardless of the 5.25 cents.
(3x8.50)+(3x1.25)+(2x1.50)=32.25
Then take that answer and multiply by your 5.25 cents per dollar
32.25x.0525 (since we're dealing with money)
then add that answer to the original 32.25
What is the reciprocal of 1 1/6
Answers
Answer:
6/7
Step-by-step explanation:
The reciprocal of 1 1/6 is 6/7.
Answer:
7/6
Step-by-step explanation:
to find the reciprocal of a number, you need to multiply the denominator by the whole number. once you do this, you should add that number and the numerator. leave the denominator its orginal number and your answer should be 7/6
We are on my trigonometry unit and I don’t understand this question. I need work shown if at all possible!
Answers
Answer:
Step-by-step explanation:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\frac{x}{sin41}[/tex] = [tex]\frac{4.5}{sin107}[/tex]
x = [tex]\frac{4.5sin41}{sin107}[/tex] ≈ 3.1 mi
[tex]\frac{y}{sin32}[/tex] = [tex]\frac{4.5}{sin107}[/tex]
y = [tex]\frac{4.5sin32}{sin107}[/tex] ≈ 2.5 mi
Ship A is 3.1 miles from the island.
Ship B is 2.5 miles from the island.
Please fill some for me for 100 points and Brainliest!
ASAP!
Answers
Answer:
PART ONE:
1.Most common sleep is: 8 1/2 hours of sleep.
2.There is a a outlinear in the data (6 1/2)
3. 10-6.5 = 3.5, So 3 1/2 hours diffence of sleep
4. 15 more people slept longer than 8 hours
The Pythagorean Theorem describes the relationship between the lengths of the legs of any right
triangle. In a right triangle, the square of the length of the hypotenuse is equal to the sum of the
squares of the lengths of the legs. You can use the Pythagorean Theorem to find the length of a
side of a right triangle if the lengths of the other two legs are known.
Find the value of a:
.
13
a
a + b = c?
a
12
Answers
Answer:
a = 5
Step-by-step explanation:
let's label the triangle as a, b and c
where b is the hypotenuse and c is the adjacent of the hypotenuse a to be the height.
from the formula
a² + c² = b²
we substitute the values to find a
so,
a² + 12² = 13²
but we don't know "a" so we make it stand alone by grouping liked terms.
a² = 13² - 12²
a² = 25
we need "a" not "a²" so we take the square root of both sides to get rid of "a²" leaving "a"
[tex] \sqrt{ {a}^{2} } = \sqrt{25} [/tex]
and the answer will be
a = 5
PLS I NEED ANSWERS I posted this questions before but the answer that was given to me was very questionable so PLS I NEED THE ANSWERS NOW ASAP.
Answers
Answer:
Step-by-step explanation:
TOP:
2 rectangles 10x4
2 rectangles 10x3
2 rectangles 3x4
MIDDLE
1 rectangle 10x 9.4247
2 circles 9 π
BOTTOM
1 rectangle 6x15.7079
2 circles 25π
what decimal is equivalent to 95%?
Answers
explanation:
to convert percents to decimals, all you have to do is move the decimal point (which is always at the end of a number) two places to the left. like this:
95.
move it over twice
.95
you can do it for any number
ex:
153%
153.
move it over twice
1.53
hope this helps :D
How do I solve this. It’s for a study guide so pls help!!
Answers
Answer: C) [tex]x\geq1\frac{1}{2}[/tex]
Step-by-step explanation:
Let's solve your inequality step-by-step.
[tex]4x-7\geq \frac{-12x+14}{4}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]4x-7\geq -3x +\frac{7}{2}[/tex]
Step 2: Add 3x to both sides.
[tex]4x+3x-7\geq -3x+3x +\frac{7}{2}\\7x-7\geq\frac{7}{2}[/tex]
Step 3: Add 7 to both sides.
[tex]7x-7+7\geq\frac{7}{2} +7\\7x\geq\frac{21}{2}[/tex]
Step 4: Multiply both sides by [tex]\frac{1}{7}[/tex].
[tex]7x(\frac{1}{7}) \geq\frac{21}{2} (\frac{1}{7}) \\x\geq\frac{21}{14} \\x\geq 1\frac{1}{2}[/tex]
A scientist has four petri dishes of different sizes. each dish contains a different number of bacteria. a 3-column table has 4 rows. the first column has entries dish a, dish b, dish c, dish d. the second column is labeled population of bacteria with entries 7,200, 10,000, 13,650, 21,350. the third column is labeled area (millimeters squared) with entries 2,826, 7,850, 20,096, 31,400. find each population density, to the nearest hundredth. which statement is true? dish a has the lowest population density. dish c has the greatest population density. dish a and dish b have approximately the same population density. dish c and dish d have approximately the same population density.
Answers
The statement that is true is option D which says, "Dish C and Dish D have approximately the same population density."
What is Population Density?The population density of an area is the Number of Entities in that space/Total Area occupied by the population.
A scientist has four Petri dishes of different sizes. each dish contains a different number of bacteria.
It can also be written as Dp = N/A.
Because the Dp of Dish C and Dish D is approximately 0.68, we can say that they have approximately the same Dp.
Hence, "Dish C and Dish D have approximately the same population density."
Learn more about Population Density at:
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Answer
option D on edg
Step-by-step explanation:
20 different prizes are distributed to a group of 180 people. Since the prizes are different, it matters who gets which prize. How many ways are there to distribute the prizes if each person can receive at most one prize
Answers
We will see that the total number of ways in which we can distribute 20 different prizes among 180 people is:
C = 6.818e46
In how many ways the prizes can be distributed?
Here we need to count how many selections do we have. Each prize will be a selection, so we have 20 selections.
Now we need to count the numbers of 6for each selection.
For the first prize, there are 180 options.
For the second prize, there are 179 options (because one person already got a prize).
For the third prize, there are 178 options.
And so on.
The total number of combinations is given by the product between the numbers of options:
C = 180*179*178*...*161*160 = 6.818e46
If you want to learn more about combinations, you can read:
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After first entering the ocean, a
scuba diver descends to a depth 18
feet below the surface of the water.
The diver then ascends 7
feet before descending 18 feet
again. What is the final depth of the
diver below the surface of the
water?
A. -29 feet
B. -43 feet
C. 29 feet
D. 43 feet
Answers
Answer:
-29 :)
Step-by-step explanation:
Decends: Goes lower
Ascends: Rises
Now lets solve :)
-18 + 7 = -11
-11 + (-18) = -29
Have an amazing day!!
Please rate and mark brainliest!!
5. The graph of t(x) is shown below. Determine the zeros of (x) points) -3,0 GO -6-54 -10 -9 3-2-1 2. 7 3 9 10 .+1)=0 A
Answers
Answer:
(- 3, 0 ) , (0, 0 ) , (4, 0 )
Step-by-step explanation:
the zeros are the points on the x- axis where the graph crosses , so
zeros are (- 3, 0 ) , (0, 0 ) , (4, 0 )
What number can be added to the expression -4 - 9 to make it 0
Answers
Answer:
+ 13
Step-by-step explanation:
- 4 - 9 = - 13 then
- 13 + 13 = 0