Answer:
28/7
Step-by-step explanation:
Lamar is studying. The number of minutes he has studied varies directly with the number of calories he has burned. See the graph belon.
Number of
minutes
Calories burned
A surfboard manufacturer makes small and large surfboards. The production process has three stages: assembly, finish, and inspection. Each small surfboard requires 3 hours to assemble, 2 hours to finish, and 1 hour for inspection. Each large surfboard requires 4 hours to assemble, 3 hours to finish, and 1.5 hours for inspection. There are 140 hours available for assembly, 100 hours to finish, and 50 hours for inspection. The large surfboard makes $150 profit per board. The small surfboard makes $100 profit per board.Linear programming will be used to create the weekly production schedule.What would be a constraint for this problem if S
Answer:
z(max) = 5000
x₁ = 2
x₂ = 32
Step-by-step explanation:
Time Assemble Finish Inspection Profit
Small x₁ 3 2 1 100
Large x₂ 4 3 1,5 150
Availablity 140 100 50
Objective function:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
First constraint assembly capacity 140 hours
3*x₁ + 4*x₂ ≤ 140
Second constraint finishing capacity 100 hours
2*x₁ + 3*x₂ ≤ 100
Third constraint inspection capacity 50 hours
x₁ + 1,5*x₂ ≤ 50
Model:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
3*x₁ + 4*x₂ ≤ 140
2*x₁ + 3*x₂ ≤ 100
x₁ + 1,5*x₂ ≤ 50
General constraints x₁ ≥ 0 x₂ ≥ 0 and integers
With the use of AtomZmath.com (online solver)
After 6 iterations the solution is:
z(max) = 5000
x₁ = 2
x₂ = 32
jonothan paid $7.56 for 9 cupcakes if each cupcake cost the same amount,what was the cost of 1 cupcake
Answer:
.84
Step-by-step explanation:
i hope this helps
44 divided by 8 fully
Answer:
The answer is 5.5
Step-by-step explanation:
Since you can't divide 44 from 8 evenly you have to look at it a new way by using haves. They have many amazing videos on this online that I recommend!
A contractor buys 16 yd of nylon carpet and 22 yd of wool carpet for $1902. A second purchase, at the same prices, includes 20 yd of nylon carpet and 21 yd of wool carpet for $2033. Find the cost per yard of the wool carpet.
Answer:
$53
Step-by-step explanation:
Given that, two type of clothes nylon and wool carpet.
Let the price of one yard of nylon carpet = $[tex]x[/tex]
Let the price of one yard of wool carpet = $[tex]y[/tex]
Price for 16 yd of nylon carpet and 22 yd of wool carpet = $1902
Price for 20 yd of nylon carpet and 21 yd of wool carpet = $2033
Writing equations as per given statement:
[tex]16x+22y=1902 ...... (1)\\20x+21y=2033 ...... (2)[/tex]
Here, we have to find the value of [tex]y[/tex].
By equation (1), we get:
[tex]16x = 1902 - 22y \\\Rightarrow x = \dfrac{1}{16}(1902-22y) ..... (3)[/tex]
Putting the value from equation (3) to equation (2):
[tex]20 (\dfrac{1}{16}(1902-22y) ) + 21y =2033\\\Rightarrow 9510-110y + 84y = 8132\\\Rightarrow 26y=1378\\\Rightarrow \bold{y = 53}[/tex]
Therefore, the cost per yard for the wool carpet is $53.
Me. Rodríguez bought stock valued at $139.00 per share and sold it for $231.67 what was the percent of profit? Round your answer to the nearest hundredth of a percent
Answer:
1.6669
Step-by-step explanation:
231.67/139=1.6669
Need help with Geometry!
This is the last question that I am stuck on. It's the only one that I got wrong.
Answer:
m∠3 = 143°
Step-by-step explanation:
m∠1 = 53°
m∠2 = 180 - (90 + 53) = 37°
m∠3 = 180 - 37 = 143°
Answer:
143
Step-by-step explanation:
solution:
angle 1 = 53°
angle D = 90°
angle 3 = angle 1+ angle D [sum of two]
= 53°+90° [interior angle is equal ]
=143° [to an exterior angle]
What is the equation of the linear function represented by the table?
X Y
-5. 14
-2. 11
1. 8
4. 5
O y=-x+9
O y= -x+13
O y= x+13
O y=x+9
Answer:
the linear function is y= -x+9
You randomly choose one of the following numbers shown. Find the probability the event can occur choosing a number greater than 4. (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
======================================================
Explanation:
The event space is the set of outcomes we want to happen.
The event space is {5, 6, 7, 8, 9, 10, 11} which consists of getting a value greater than 4. There are 7 items in this event space. Let A = 7.
The sample space consists of all possible outcomes. The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and there are 11 items in the sample space. Let B = 11.
Divide the values of A and B to get the answer we're after
A/B = 7/11
This is the probability of selecting a value greater than 4.
Ari and his 3 brothers want to take a school trip to Washington D.C. They have $320 saved. each of them will save $18 a week until they have at least $647 to pay for the trip. how much money will they save after 4 weeks?
Answer:
536 if adding the 320
Step-by-step explanation:
(3x 18) 4 +320= 536
(3x18)4 = 216
Answer:
$608
Step-by-step explanation:
Well first you have to see that there is 4 people going ari and his 3 brothers. Then I multiplied 4 people times 18 dollars a week. I got 72. After that I multiplied 72 dollars by 4 because of the 4 weeks they will be collecting money and I got 288. Lastly I added the 288$ to the 320 dollars they already saved and in total I got $608.
$608
HOPE THIS HELPS!!!
Help I will give breinlits
I have no idea on how to do this!!!!!
Answer:
the closest one it 3 months
Step-by-step explanation:
To find the simple interest, we multiply 15800 × 0.11 × 3 to get
the interest of 5214.00
Write a 2 paragraphs telling me how you have used algebra in your life outside of school
Here an easy question for points it’s a few but they easy
Answer: See explanation
Step-by-step explanation:
3.) 140 and its supplementary angle form a straight line, basically, they sum up to 180°. That angle is y
y + 140 = 180
Subtract both sides by 140
y = 40°
Seems both angles are congruent since they have the same label.
y + x + x = 180°
40 + 2x = 180
Subtract both sides by 40
2x = 140
Divide both sides by 2
x = 70°
4.) The missing angle = y
2x - 14 + 3x + 2 + y = 180
5x - 12 + y = 180
Subtract 5x from both sides
-12 + y = - 5x + 180
Add 12 to both sides
y = -5x + 180 + 12
y = -5x + 192
3x + 2 + 2x - 14 - 5x + 192 = 180
3x + 2x - 5x + 2 - 14 + 192 = 180
0 + 180 = 180
180 = 180
That's correct I guess.
5.) Missing angle = y
2x + 8 + 5x + y = 180
7x + 8 + y = 180
Subtract 7x from both sides
8 + y = -7x + 180
Subtract 8 from both sides
y = -7x + 180 - 8
y = -7x + 172
2x + 8 + 5x - 7x + 172
2x + 5x - 7x + 8 + 172 = 180
0 + 180 = 180
180 = 180
I.. think that's correct..?
6.) Missing angle = y
134 + y = 180
Subtract 134 from both sides
y = 46°
x + 46 + 22 = 180
x + 68 = 180
Subtract 68 from both sides
x = 112°
#4 and #5 were honestly sooo confusing. I just did whatever but I hope this is correct lol.
Answer:
Says your in college-
Step-by-step explanation:
solve {6x-5y=21 2x+5y=-5 with elimination please help fast :(
Answer:
19
Step-by-step explanation:
Help with this question please
Answer:
That’s it’s so hard
Step-by-step explanation:
AYO YALL I NEED HELP HOMIES
Answer:
your answer will be, 67.25
Step-by-step explanation:
I got chu homie
If 4 units equal 12 inches, what is the value of 1 unit
Answer:
1 unit = 3 inches
Step-by-step explanation:
We are given that 4 units = 12 inches.
This can be rewritten as 4x = 12
Then to solve for x, you divide 4 on both sides
so x = 12/4
x = 3
Let me know if you have any questions
Answer:
3 inchesStep-by-step explanation:
4 units = 12 inches
1 unit = 12 ÷ 4 = 3 inches
Hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Compute -10 -6.4 + 3.7
Answer:
-12.7
Step-by-step explanation:
Not really anything to explain
Answer:
-12.7
Step-by-step explanation:
Follow order of operations
So sincde addition and subtraction are the only things presented here, just do the equation from left to right
-10-6.4=-16.4
-16.4+3.7= -12.7
Don’t forget to put the negative sign
Please help will mark Brainliest
Can y’all give a mini explanation too
work must be shown, 15 points if answered, + brainlynessiest answer
Answer:
40cm
Step-by-step explanation:
if the area is 100 then you have to do the square root of 100 which is 10.
each side is 10.
10 x 4 because 4 equal sides
40
Help me with acellus
Answer: x=26
Step-by-step explanation:
4x+4+4x-32=180 degrees
8x+4-32=180 (add like terms)
8x-4+32= 8x=208
8x/208= x=26
simplify the variable expression below as much as possible 4x - 4y + 7 - 1
Answer:
4x - 4y + 6
Step-by-step explanation:
Answer: 4x - 4y + 6
Step-by-step explanation:
jacob drove 8 miles east and then 15 miles north. how far is he from his starting point
Answer:
he is 23 miles northeast from this starting spot
Step-by-step explanation:
ok so you start with the directions and notice they are different but this equation worked in our favor because the directions are north and east then all you do is add 8 + 15 and you get 23 so its 23 miles northeast from starting position
math I need help learning decimals please help also need help with square ruote
Which of the polynomial equations cannot be solved using the quadratic formula?
Answer:
The polynomial equation that cannot be solved using the quadratic formula: Option2: [tex]x^2-2x^3-5=0[/tex]
Step-by-step explanation:
First of all we have to learn what a quadratic polynomial is.
A polynomial or equation of degree 2 is called a quadratic equation. Quadratic formula is used to solve quadratic equations.
The quadratic equation is of the form:
[tex]ax^2+bx+c = 0[/tex]
From the given options, only option 2 doesn't have degree 2 so it is not a quadratic polynomial.
Hence,
The polynomial equation that cannot be solved using the quadratic formula: Option2: [tex]x^2-2x^3-5=0[/tex]
Answer:
x^5 - 2x^3 - 5 = 0
Step-by-step explanation: Just did this problem and got it right.
Fill in the blank to complete the equation below.
12 + 16
= 2(___ + 8)
PLEASE HELP ASAP
3/8 + 1/8 + 2/3 - 1/2
Answer:
0.66666666666666
Hope This Helped Have a Good Day! :)
Step-by-step explanation:
Suppose a researcher is testing a new vaccine on mice to see how well it prevents the flu virus. The lab has 1000 mice available for testing purposes, and each mouse has an identification number. The researcher needs 30 mice to properly run her study of the new flu vaccine. She is considering five different sampling methods. Match the sampling method to each description.
a. The researcher uses a computer program to randomly choose 30 of the 1000 mice to use in her study.
b. The researcher chooses the first 30 mice she can reach from the door to the mouse room.
c. The mice are kept in cages on 10 different shelves in the mouse room. The researcher chooses three mice from each shelf.
d. Each cage holds five mice. The researcher randomly chooses six cages to use in her study.
e. The researcher generates a list of identification numbers that has been sorted from smallest to largest. She randomly picks one mouse from the list, and then chooses every fourth mouse until she has 30.
1. cluster
2. convenience
3. systematic
4. simple random
5. stratified
Solution :
Sampling may be defined as the technique of selecting the individual members or the subset of the population to make a statistical inferences and estimates the characteristics of the entire population.
There are several sampling methods. This includes : Systematic sampling, clustered sampling, stratified sampling, quota sampling, judgement sampling, random sampling, convenience sampling and many more.
In the context, the sampling methods for each of the descriptions are :
a). The researcher use computer program to randomly choose a sample of 30 mice of the 1000 mice for using her study
--- Simple Random
b). The researcher chose the 1st 30 mice as she can reach the door to the mouse room
--- Convenience sampling
c). The mice those whose are kept in the cages on 10 various shelves in mouse room. The researcher or the experimenter chose the three mice from each shelve.
---- Stratified sampling
d). Each of the cage have 5 mice and the researcher randomly chooses 6 cages for her study
----- Cluster sampling
e). The researcher generates the list of the identification numbers which has been sorted from the smallest to the largest. The researcher randomly picks 1 mouse form the list and selects every 4 mouse until the researcher has 30 mice.
---- Systematic sampling
which system of equations has no solutions? please help will mark brainliest!!!
Answer:
top right
Step-by-step explanation:
parallel lines will never touch, therefore no solution
Answer:
i believe it is B!!!:)
Step-by-step explanation: