Answer:
z (min) = 105
x₁ = 3
x₂ = 2
Step-by-step explanation:
Let´s call x₁ (number of tables) and x₂ ( number of capsules)
assuming it is only possible to get a whole table or capsule we have:
Table x₁ 8 u myra X 1 u of myra Y and 2 u of myra Z
Capsule x₂ 2 " 1 " and 7 u "
Objective function
z = 15* x₁ + 30* x₂ to minimize
First constraint ( Myra X )
8*x₁ + 2*x₂ ≥ 16
Second constraint ( Myra Y )
x₁ + x₂ ≥ 5
Third constraint ( Myra Z )
2*x₁ + 7*x₂ ≥ 20
General constraints x₁ ≥ 0 x₂ ≥ 0 both integers
Then the model is:
z = 15 * x₁ + 30 * x₂ to minimize
Subject to
8*x₁ + 2*x₂ ≥ 16
x₁ + x₂ ≥ 5
2*x₁ + 7*x₂ ≥ 20
x₁ ≥ 0 x₂ ≥ 0 both integers
As the constraints, all are of the form ≥ we have to subtract surplus variables sₐ and add artificial variables Aₐ
sₐ ≥ 0 Aₐ ≥ 0
The first table is
z x₁ x₂ s₁ s₂ s₃ A₁ A₂ A₃ = Cte
1 - 15 - 30 0 0 0 M M M = 16
0 8 2 -1 0 0 1 0 0 = 5
0 1 1 0 -1 0 0 1 0 = 20
0 2 7 0 0 -1 0 0 1 = 20
Using AtoZmax and after 6 iterations we find
z (min) = 105
x₁ = 3
x₂ = 2
4. Find the number of proper subsets of a set
(a) containing 6 elements
(b) whose cardinal number is 4
Answer:
Sorry i cant help
Step-by-step explanation:
Sales tax in a certain community is 5%. If the sales tax on a new car was $1400, what was the selling price of the car?
Answer:
28000
Step-by-step explanation:
Answer:
1400 is 5 percent. So 28000 is the price of the car
Step-by-step explanation:
5 percent times 20 is 100 percent
please help i don’t know
serenity wants to bake cookies each batch of cookies tajes 2 and 1/4 cuos flour if she wants to bake 5 batches of cookies hiw many cups of flour will she need
Answer:
11 1/4 or 45/5
Step-by-step explanation:
just multiply 5 * 2 1/4
And thats ur answer
I WILL MARK BRAINIEST
Please help asap it’s due
Does anyone know the answer please help
Answer:
It's a) y = 1/3x
Step-by-step explanation:
If you plug in the y and x into the problem, for example, 27y
27 = 1/3 times 9
if you multiply 9 and 1/3, you get 27
so it's a)
:)
A) 9x^2-1
B)9x2-6x+1
C)3x^2-1
D) 3x-1
Answer:
b
Step-by-step explanation:
49,52,52,52,55,55,74,67 find Q3
Answer:
Answer:
Quartile Statistics
First Quartile Q1 = 52
Second Quartile Q2 = 53.5
Third Quartile Q3 = 61
Interquartile Range IQR = 9
Median = Q2 x˜ = 53.5
Minimum Min = 49
Maximum Max = 74
Range R = 25
Step-by-step explanation:
please help ive asked multiple times and still no help:( please help me if u can and PLEASE don’t put a silly answer, i really need the help
Answer:
m<9 = -3
Step-by-step explanation:
Evaluate the expression for the given values of the variables.
9d – 4e – 15 for d = 5 and e = -7
When d = 5 and e = -7, the expression is equal to
Fast plzzz
What is the value of the expression below? (9.5 minus 3 times 1 and one-half) divided by 0.5
Answer: 0.5
9.5−3×
2
1×2+1
÷0.5
9.5−3×
2
2+1
÷0.5
9.5−3×
2
3
÷0.5
9.5−3×
2
3
×
0.5
1
9.5−
2×0.5
3×3×1
9.5−
2×0.5
9×1
9.5−
2×0.5
9
9.5−
1
9
9.5 - 9
0.5
Answer:
19.5
Step-by-step explanation:
9.5 minus 3 is 6.5
6.5 times 1.5 is 9.75
9.75 divided by .5 is 19.5
Welcome!!
3(p - 29) - 4(2p - 39 - 5)
expand and simplify
Answer:
-5p+99
Step-by-step explanation:
Original Equation;
3(p - 29) - 4(2p - 39 -5)
★First Step: Multiply the number 3 by p and -29 which is in the first term so it's going to be;
3 multiplied by p and 3 multiplied by -29
3p - 87
★Second step: Add the -39 and -5 which is going to give you -44 because - + - is = -
-44
★Third step: Multiply -4 by 2p and -44 so it's going to be;
-4×2p=-8p and -4×-44=176 we have positive 176 because - × - = +
★Fourth Step: Remove brackets
So it's going to be;
3p - 87 -8p +176
★Then you combine like terms
3p - 8p - 87 +176
-5p + 99
3(p-29)-4(2p-39-5)
3p-87-4(2p-44)
3p-87-8p+176
3p-8p-87+176
-5p+99
?
What is the area of triangle ABC if a = 12, b = 17, and C =
100°?
17.71 square units
102 square units
100.45 square units
200.9 square units
Answer:
C) Area of Triangle is 102 Square Units
Answer: 100.45
Step-by-step explanation: plato or edmentum users i just got it correct
Estimate 38 3/22 - 14 29/30 by rounding each number to the nearest whole number
Truetone Music company sold 192,000 alternative music downloads. This represents 64% of their total sales. How
many total downloads did Truetone selt?
Answer:
The total downloads is 300000
Step-by-step explanation:
Given
Represent the total downloads with D.
[tex]\% = 64\%[/tex]
[tex]Sales = 192000[/tex]
Required
Determine the value of D
We understand that 64% of D = sales.
In other words;
[tex]64\% * D = 192000.[/tex]
Convert % to decimal
[tex]0.64 * D = 192000.[/tex]
Make D the subject
[tex]D = 192000/0.64[/tex]
[tex]D = 300000[/tex]
Hence, the total downloads is 300000
Set X = {x|x is a whole number less than or equal to 10} and set Y = {/15, 10, 15, 20}
a. What is X Y ?
b. What is X UY ?
A
a.
X Y = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}
b. XUY = {5, 10}
B. a X Y = {5, 10, 15, 20}
b. XUY= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}
C. a. X Y = {5, 10}
b. XUY = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}
OD. a X Y = {0,1,2,3,4,5,6, 7, 8, 9, 10, 15. 20}
b. X Y = {5,10,15, 20}
Answer:
C
Step-by-step explanation:
The first part requires the intersection of the two sets, which means only the elements that can be found in both sets.
While the second part requires all the elements in both the sets.
Can someone help me please
Answer:
I can't see could you take a picture or something
Step-by-step explanation:
Question # 19
Revisit
On a certain day six passengers from cities - Alpha, Beta, Delta, Gamma, Kappa, and Lambda -
boarded a train starting from town Theta and with the final stop at city Meritland. The following facts
are known about these six passengers
1. The persons from Delta and Alpha are less than 36 years of age.
2. Zane, the youngest of all is a scientist
3. The oldest person is from Gamma and his/her profession is the same as that of the person who
got down at station X.
4. The
persons from Beta, Alpha. Lambda, and Kappa got down at four different stations. The
eldest among these four got down at station Y and the youngest at station Z. The person who
got down at Meritland is older than the person who got down at station X
5. The
pilot from Beta is older than the pilot from Apha.
6. While arranging the managers in increasing orden of age lit was observed that the middle person
is as old as the pilot from Aloha,
7. Yahu, who got down at station is less than 34 years old.
8. The manager from Delta is found ears older than the silvears old scientist
who is not from
Kappa
Which of the following options is true
Answer:
The correct answer is E. The person who got down at Meritland is older than Yahu, who in turn is older than the person from Lambda.
Step-by-step explanation:
We can conclude that there are three managers, two pilots, and one scientist from the information we're given. Since the youngest among the passengers is Zane, a scientist, his age must be 31. The passengers from Beta and Alpha are pilots, whereas the people from Gamma, Delta, and Kappa are all managers. This means that the passenger who is the scientist must be from Lambda. The passenger who got down at Station X is a manager and is under 34 years old.
The passengers from Delta and Alpha are 35 years old. The person from Beta got down at Station Y, while the person from Lambda got down at Station Z. Here’s the final distribution in the attachment:
How much is 13 part of 6,918?
Two friends pooled the tickets they won from playing video games to get a prize that requires 450 tickets. If the first friend won 140 more tickets than the second friend, how many tickets did each friend win?
First friend: 2nd friend:
Answer:
310
Step-by-step explanation:
410-140=310
3 1/2 ÷ 5 =? ( please explain step by step I'm slow :< )
a vendor has 130,240and 150 oranges to put into bags so that each bag has the same number and there are no oranges left over.what is the largest number of oranges can the vendor put into each dag?
is this multiple choice?
find the slope of the line that contains the points (-6, 4) and (2, -8)
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 4) and (x₂, y₂ ) = (2, - 8)
m = [tex]\frac{-8-4}{2+6}[/tex] = [tex]\frac{-12}{8}[/tex] = - [tex]\frac{3}{2}[/tex]
What is the rise over run if the slope is (-2/3)?
Step-by-step explanation:
rise: any number in the multiple of 2
run: any number in the multiple of 3
WITH
a line sloping downwards
Topic: coordinate geometry
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
[tex]Slope=\frac{Rise}{Run}=\frac{-2}{3}[/tex]
The rise is -2 and run is 3
Step-by-step explanation:
We need to find rise over run if the slope is (-2/3).
The formula of slope is: [tex]Slope=\frac{Rise}{Run}[/tex]
So in the given slope: [tex]Slope=\frac{-2}{3}[/tex]
The rise is : -2 and run is 3 because if we compare the formula of slope with the slope given we can simply find rise over run
[tex]Slope=\frac{Rise}{Run}=\frac{-2}{3}[/tex]
Determine the point that is 3/4 the distance from the endpoint (−6,−16)(−6,−16) of the segment with endpoints (34,2)(34,2) and (−6,−16)(−6,−16).
what, pls explain cus there is other questions similar to this
Answer:
The location of the point that is 3/4 the distance from [tex]A(x,y)[/tex] is [tex]C(x,y) = (24, -2.5)[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (-6,-16)[/tex] and [tex]B(x,y) = (34,2)[/tex] the endpoints of the segment, we can determine the location of the point that is 3/4 the distance from [tex]A(x,y)[/tex] by the following vector equation:
[tex]C(x,y) = A(x,y) + \frac{3}{4}\cdot (B(x,y)-A(x,y))[/tex] (1)
If we know that [tex]A(x,y) = (-6,-16)[/tex] and [tex]B(x,y) = (34,2)[/tex], the location of [tex]C(x,y)[/tex] is:
[tex]C(x,y) = (-6,-16)+\frac{3}{4}\cdot [(34,2)-(-6,-16)][/tex]
[tex]C(x,y) = (-6,-16)+\frac{3}{4}\cdot (40,18)[/tex]
[tex]C(x,y) = (24, -2.5)[/tex]
The location of the point that is 3/4 the distance from [tex]A(x,y)[/tex] is [tex]C(x,y) = (24, -2.5)[/tex].
help???
Anyone???
Thank you
need it in 3 minn
Answer:
Multiply 45 by 1.15 then multiply the answer by 36/100. Hopefully this helps you solve later problems yourself
Step-by-step explanation:
Answer: he spent 18.63
Step-by-step explanation:
Batman uses 5 gallons of gas to drive his Batmobile 140
miles. If he travels at the sanie rate, how many miles can he
drive on 7 gallons of gas?
Write answer as a number only
Answer:
196 miles
Step-by-step explanation:
if he goes 140 miles with 5 gallons, each gallon lets him go 28 miles.
140miles/5gallons=28miles/1gallon
then 7 gallons lets you go 196 miles
brainliest please :)
❶ Find the values of x, y and z in each of the case given below ⟼
━━━━━━━━━━━━━━━━━
❷ Prove that –
If Cos∅ + Sin∅ √2Cos∅, Show that Cos∅ - Sin∅ = √2 Sin∅
━━━━━━━━━━━━━━━━━
– Kindly Don't Spamm⚠️
– No Copied answers⚠️
– Answer with full solution please
━━━━━━━━━━━━━━━━━
Note (For 1st Question) :
• Figure is provided in the Attachment[tex].[/tex]
Answer:
1)
y = 45° (converse of alternate interior angle theorem)
z = 45° (alternate interior angle theorem)
k = 135° (exterior angle theorem)
2)
Cos θ + Sin θ = √2 Cos θ
(Cos θ + Sin θ)² = (√2 Cos θ)²
(Exponential property of equality)
Cos² θ + Sin² θ + 2 (Cos θ • Sin θ) = (√2 Cos θ)²
(Distributive property)
1 + 2(Cos θ • Sin θ) = (√2 Cos θ)²
(Definition of the pythagorean identity).
This identity is true because, if a² + b² = c². The triangle must be a right triangle, and a right triangle always has a 90° angle tangent to the triangle, and the tangent of 90° is 1, cos applied to the adjacent over hypotenuse, and sin applies to the opposite over hypotenuse, so this identity must work).
1 + 2(Cos θ • Sin θ) = 2 Cos² θ
(definition of an exponent)
1 + 2(Cos θ • Sin θ) – 1 = 2 Cos² θ – 1
(subtraction property of equality)
2(Cos θ • Sin θ) = 2 Cos² θ – 1
2(Sin θ • Cos θ) = 2 Cos² θ – 1
(Associative property of multiplication ; the input for both functions are θ so this rule works, this is an exception)
Sin (2x) = 2 Cos² θ – 1
(double angled identity of 2 sine and cos)
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 2900 seats. The students filled 986 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
34%
Step-by-step explanation:
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
[tex] \dfrac{986}{2900} \times 100\% = 0.34 \times 100\% = 34\% [/tex]
Answer:
34%
Step-by-step explanation:
986/2900 x 100 = 34%
11
3
÷ 2
3
i need you to plz help
Answer:
[tex]\frac{99}{2}[/tex]
Step-by-step explanation:
11 × 3 = 33
33÷2 = [tex]\frac{33}{2}[/tex]
[tex]\frac{33}{2}[/tex] × 3 = [tex]\frac{99}{2}[/tex]