Answer:
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Step-by-step explanation:
As given ,
Windbreakers Rain breakers Total
Finishing time 59 min 58 min 61 hr
Packaging time 21 min 34 min 68 hr
Profit 28 41
Let
The number of windbreaker jackets they should produce = x
The number of rain breaker jackets they should produce = y
As given,
The company wants to maximize profit.
⇒ Maximum Profit , p = 28x + 41 y
Now,
As 1 hour = 60 min
⇒61 hours = 61×60 = 3660 min
and 67 hours = 67×60 = 4020 min
∴ we get
The equations become
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
So, the Linear Programming Problem (LPP) for this problem is -
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Type your answer into the box.
The width of a cuboid is 5 metres, the length is 8 metres, and the height is 3 metres.
3 m
5 m
What is the volume of the cuboid?
Find the tan of angle T....
can someone please help me with this problem? real answers only!
Answer:
sir plese tell the full question
Answer:
y = 5 + 3x
3x = y - 5
x = y - 5 / 3
Step-by-step explanation:
y = 5 + 3x
3x = y - 5
x = y - 5 / 3
a car has a mass of 1,200 kg. what is it's acceleration when the engine exerts a force of 600 N ? (formula: F= ma)
Answer:
In this case, the mass of the car and the force exerted on it are provided as information. Therefore, the acceleration of the car is 0.5 m s−2 when its engine exerts a force of 600 N
Step-by-step explanation:
Order these fractions from least to greatest.
3/8, 2/8 , 4/8
Please help me i am taking a test and i really need help
Answer:
31.4159in
Step-by-step explanation:
Answer:
31.4
Step-by-step explanation:
I need help with this
look at picture
Complementary angles
============================================================
Explanation:
The square marker indicates a 90 degree, or right angle.
The two smaller angles (3x and 75) both combine to the larger 90 degree angle. That's what it means when they say we have complementary angles.
Add up the smaller angles, set the sum equal to 90, and solve for x.
3x+75 = 90
3x+75-75 = 90-75 ....... subtracting 75 from both sides
3x = 15
3x/3 = 15/3 ..... divide both sides by 3
x = 5
---------------
If x = 5, then 3x = 3*5 = 15
Then we can see that 15+75 = 90 to help check our answer.
Write 0.0065 in standard form.
Answer:
It is just 65.
Step-by-step explanation:
What is 0.564 written in expanded form?
Answer:
0.5 + 0.06 + 0.004 in expanded form.
Step-by-step explanation:
I need help with this
You bought some stock, and then the stock price went down by 17.2% from the purchase price. By what percentage would the price have to increase for the investment to be back to the original value?
Step-by-step explanation:
Let's pick some easy numbers for illustration.
Let x equal our initial stock purchase, and, say it was $100.
x = $100
The problem says it's value dropped by 17.2%. If x = 100 is 100% of our stock value the 17.2% less is
[tex]x - 0.172x = 0.828x[/tex]
So now our stock is worth 0.828(100) = $82.80.
Now how much of an increase do we need to get back to $100.
[tex]100 - 82.80 = 17.20[/tex]
So our base is $82.80 because our stock price dropped, we want to know what percent increase is $17.20 of $82.80
[tex]17.20 \div 82.80 = 0.2077[/tex]
Or 20.77% increase to get back to original price.
To make this generic, since $100 is not supplied information, substitute x for 100 and 0.828x for the amount of money dropped.
x = original stock value
[tex]x - 0.828x [/tex]
Is the amount of value lost, and to be regained in the second part of the question.
To find out what portion the decrease is of the new value
[tex] \frac{(x - 0.828x)}{0.828x} = \frac{0.172x}{0.828x} = 0.2077 [/tex]
Or 20.77%
It is 6.417.5 km from Indianapolis to London, England. The Flash can make this trip in 1
hour and 35 minutes. How fast is this in miles per hour?
Answer:
[tex]Speed = 2519.58 mph[/tex]
Step-by-step explanation:
Given
[tex]Distance = 6417.5km[/tex]
[tex]Time = 1\ hr: 35\ mins[/tex]
Required
Calculate the speed in miles per hour
Convert distance to miles
[tex]Distance = 6417.5km[/tex]
[tex]Distance = \frac{6417.5km}{1.609}\ miles[/tex]
[tex]Distance = 3988.50217526\ miles[/tex]
[tex]Time = 1\ hr: 35\ mins[/tex]
Divide minutes by 60
[tex]Time = 1\ hr + 35/60[/tex]
[tex]Time = 1\ hr + 0.583\ hr[/tex]
[tex]Time = 1.583hr[/tex]
The speed is:
[tex]Speed = Distance/Time[/tex]
[tex]Speed = 3988.50217526/1.583 mph[/tex]
[tex]Speed = 2519.58 mph[/tex]
Plz help if you can, will give brainlyist
Answer:
a=16
Step-by-step explanation:
a*2+ 12*2 = 20*2
12to the power of 2 is 144
20to the power of 2 is 400
a*2+ 144 =400
-144. -144
a*2= 256
find the square root of 256 which is 16
so there for 16 is the answer
a=16
can some one help me and solve this problems
Answer:
2 i think i dint sleep last night sorry if im wrong
Step-by-step explanation:
Select the statements which could describe the graph of a non proportional relationship.
A. The y-intercept is positive.
B. The y-intercept is 0.
C. The line intersects the origin.
D. The y-intercept is negative.
(can be more than one answer)*
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
A restaurant uses 8 pounds of potatoes to make 15 servings of hash browns. At this rate, how many servings of hash browns could be made if they had 72 pounds of potatoes?
Answer:
135
8*9=72
15*9=135
Answer:
135
Step-by-step explanation:
Halla el MCM de 63 y 77
Respuesta:
693
Explicación:
Tenemos que dividir ambos dígitos hasta que lleguen a 1.
No importa si uno de los números no se puede dividir, pero se debe iniciar desde los números más bajos: 2, 3, 4, 5, 7...
Cómo no hay una mitad exacta, empezaremos con tercia y continuaremos dividiendo.
63 ; 77 | 3
21 ; 77 | 3
7 : 77 | 7
1 ; 11 | 11
1 ; 1
Ahora que llegamos hasta 1, el MCM es la multiplicación de los números por los que hemos dividido a los dígitos. Solo falta multiplicarlos.
3*3*7*11= 693
MCM = 693
Espero te ayude ;)
【Answer.】the lowest common multiple of 77 and 63 is 693.
[tex]\orange{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt} }[/tex]
To obtain the lcm (least common multiple) we must do it by simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{63 \ \ \ 77}\\ 21 \ \ \ 77\\ \ \ 7 \ \ \ 77\\ \ 1 \ \ \ 11\\ \ 1 \ \ \ 1 \end{matrix}\right|\begin{matrix} 3\\ 3\\ 7\\ 11\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\sf{m.c.m.(63,77)=3\times3\times7\times11}[/tex]
[tex]\sf{m.c.m.(63,77)=3^{2} \times7\times11}[/tex]
[tex]\boxed{\boxed{\sf{m.c.m.(63,77)=693}}}[/tex]
10
12
15
18
Are my choices
Answer:
y=10 x=30
Step-by-step explanation:
3x=90
x=30
2(30)+3y=90
60+3y=90
3y=30
y=10
Answer:
y= 10
Step-by-step explanation:
we have to find x first
∠ABD= 90° because its a right angle
3x°=90°
divide by on both sides
x= 30°
∠CBD must equal 90° degrees as well because a line is 180°
60+3y= 90
-60
3y=30
/3
y= 10
A fair charges an admission fee of 3 dollars for each person. Let c be the cost of admission in dollars for p people wrote an equation relating c to p graph your answer
Answer:
c = 3p
graph is in the image attached
Step-by-step explanation:
4(x - 2) = 4x + 10
what’s the answer^^
Answer:
0
Step-by-step explanation:
Answer: There are no solutions.
Step-by-step explanation: 4(x−2)=4x+10
(4)(x)+(4)(−2)=4x+10
4x+−8=4x+10
4x−8=4x+10
4x−8−4x=4x+10−4x
−8+8=10+8
0=18
There are no solutions.
The weight of any cat in the local animal shelter is no more than 16 pounds. Let w be the weight in pounds of a cat in the shelter. Write inequality that means weight of no more than pounds .
Answer:
16 >_ w ( a line under >)
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. The inequality that means the weight of a cat is no more than 16 pounds is 16>w.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given that the weight of any cat in the local animal shelter is no more than 16 pounds. Now, w be the weight in pounds of a cat in the shelter. Therefore, the inequality that means the weight of a cat is no more than 16 pounds is 16>w.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ2
what is the value of x in the solution set of -5x-15>10+20x
Answer:
The answer is x < -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hoped this helped!
brainly, please?
Answer:
–1 is the answer
Step-by-step explanation:
circumference of a circle is 110cm.If the diameter of this circle is used to make one side of a square, what is the perimeter of the square?
Answer:
120
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
if the circumference is 110, the diameter is ~35, and 35*4=140
1. Write an ordered pair to represent point G.
Answer:
n ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Step-by-step explanation:
Answer:
Ya'll should stop forgetting about the pics
3 classmates share 2 granola bars equally.
Answer:
3/2 or 1.5
Step-by-step explanation:
the answer would be 3/2 because the number of classmates divided by the number of granola bars equals how much each classmate would get in all.
What is x equaled too
Answer:
8/15 or 8 over 15 should be the answer
The average mass of an adult human is about 65 kilograms while the average mass of an ant is approximately 4×10−3 grams. The total human population in the world is approximately 6.84 billion, and it is estimated there are currently about 10,000 trillion ants alive. Based on these values, about how many times greater is the total mass of living humans compared to the total mass of all living ants? Round to the nearest whole.
Find total mass:
Human: 65 kg x 6,840,000,000 = 444,600,000,000 kg
Ants: 4x10^-3 = 0.004g
0.004 x 10,000,000,000,000,000 = 40,000,000,000,000g
Divide total grams by 1000 to get kegs:
40,000,000,000,000 /1000 = 40,000,000,000 kgs.
Divide total mass of humans by total mass of ants:
444,600,000,000 / 40,000,000,000 = 11.115
Mass of humans is 11.115 times more than ants.
Rounded to the nearest whole number = 11 times more.
Write a mathematical sentence that expresses the information given below.
Use was your variable name. If necessary:
type < = to means
or > = to mean .
A business employs 150 workers at the start of the year, but then some
employees quit or are fired. After that, the business had 142 employees.
no idea if this is what you're looking for but if it is then here's the answer:
Part 1) The mean is 151
Part 2) The mean absolute deviation is 9.1
Step-by-step explanation:
step 1
Find the mean
Sum all the values and divide by the number of values
step 2
Determine the absolute value of subtract the mean from each value
step 3
Find the mean of those distances
----> this number is called the mean absolute deviation (MAD)V
Answer: its 100-e=42
Step-by-step explanation: i just answered it
HELP MIDDLE SCHOOL QUESTION
A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. DO NOT ROUND.
Answer:
0.00375
Step-by-step explanation:
Divide 1.875 by 500. This divides the total thickness into 500 groups, or 500 papers. The answer is unrounded
Answer:
points
Step-by-step explanation: