Answer:
310
Step-by-step explanation:
410-140=310
Andrew, who is ill, takes vitamin pills. Each day, he must take at least 16 units of myra X, at least 5 units of myra Y, and at least 20 units of myra Z. He can choose between tablets and capsules. Each tablet contains 8 units of myra X, 1 unit of myra Y, and 2 units of myra Z, while each capsule contains 2 units of myra X, 1 unit of myra Y and 7 units of myra Z. The cost per tablet is Php15, and Php30 per capsule. How many tablets and capsules should he buy in order to minimize his cost?
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
Reflected across the x-axis and vertically
translated up 2 units.
Incomplete question.
correctly factor the expression 15a-6b+36 using the greatest common factors
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
What is 11/33 in the simplest form PLS ANSWER QUICK ONLY IF U KNOW IT ALSO I WILL MARK BRAINLIEST
Answer:
1/3
Step-by-step explanation:
divide each part by 11
Answer:
1/3 is the simplified fraction for 11/33 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 11/33 by using the prime factorization method.
Step-by-step explanation:
what is the greatest common factor in these two sets of 51 and 18
Answer:
306
Step-by-step explanation:
Greatest common factor of 51 and 18
51=3×17
18=2×3×3
So 2×3×3×17
Greatest common factor =306
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have?
13
11
8
4
Answer:
8
Step-by-step explanation:
question on picture attached, easy but i’m stuck (need help asap)
Answer:
∠CDF = 54
Step-by-step explanation:
In ΔAEB,
AE ≅ AB
∠ABE = ∠E = x {Angles opposite to equal sides are equal}
∠EAB + ∠E +∠ABE = 180 {angle sum property of triangle}
26 + x + x = 180
26 + 2x = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
∠ABE = ∠E = 77
In quadrilateral AECF
∠A + ∠E + ∠C + ∠F = 360
90 + 77 + ∠C + 90 = 360
∠C + 257 = 360
∠C = 360 - 257
∠C = 103
∠FCD + ∠BCD = ∠C
∠FCD + 67 = 103
∠FCD = 103 - 67
∠FCD = 36
ΔFCD,
∠FCD + ∠CDF + ∠CFD = 180
36 + ∠CDF + 90 = 180
∠CDF + 126 = 180
∠CDF = 180 - 126
∠CDF = 54
I just need help with the ones without slashes so 25 27 29 and 31
Answer:
25) 16
27) 12
29) 648
31) -243
Step-by-step explanation:
25) -4^2 = 16
27) -4 x 3 = -12
29) (-6 x -4) x (3 x 3 x 3) = 25 x 27 = 648
31) -(3) x 9^2 = -3 x 81 = -243
Please mark as brainliest, thank you.
What mathematical formula do you use for the following question. A rectangle whose perimeter is 104 feet has a length that is 12 feet longer than its width what is the area of the rectangle. The answer is 640 square feet 20 feet wide by 32 feet long.
Answer:
Width = 20 inches and Length = 32 inches
Area of rectangle = 640 feet²
Step-by-step explanation:
Perimeter of rectangle = 104 feet
Let width of rectangle = x
Length of rectangle = x+12
We need to find area of rectangle.
First we need to find value of x
The formula used to calculate perimeter of rectangle is: [tex]Perimeter= 2(Length+Width)[/tex]
Putting values and finding x
[tex]Perimeter= 2(Length+Width)\\104 = 2(x+12+x)\\104=2(2x+12)\\104=4x+24\\4x=104-24\\4x=80\\x=\frac{80}{4}\\x=20[/tex]
So, Value of x= 20
So, Width x= 20 inches
Length = x+12 = 20+12 = 32 inches
So, Width = 20 inches and Length = 32 inches
Now finding Area
The formula used is: [tex]Area=Length\times Width[/tex]
Putting values and finding area
[tex]Area=Length\times Width\\Area=20\times 32\\Area=640 \ feet^2[/tex]
Area of rectangle = 640 feet²
A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between "100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams."
Answer:
0.418878 I think thats the answer look in the explanation if you need.
Step-by-step explanation:
Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the standard deviation. Do NOT format answer: No $, Commas, %. Question 48 5 pts Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the mean weight. Do NOT format answer: No $. Commas, %.
Solve for X.........
HELP I NEEF UT WITHIN 3mins! PLS HELP GOD BLESS U
Answer:
8.0%
Step-by-step explanation:
.8 * 5,000 = 400
Give an example of repeating, nonterminating non-integers
are 3(m-2)/2(m-2) and 5(m-2) equiavalent expressions
The numbers, what are they saying??
Help me out fast pleaseeeeeeeeeeeeeee
Answer:
81 7/12
Step-by-step explanation:
75 5/12 - (-6 1/6)= 81 7/12
What is 77+690+1102855+20000001= ?
And, one more question, what is the percentage of 64% ?
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.
Which equation could be used to find n, the total number of bagels the bakery has?
18 × 30 + 20 × 15 = n
18 + 30 + 20 + 15 = n
18×30−20×15=n
18 + 30 × 20 + 15 = n
]
Question 3 of 20 Which point lies on the graph of the function shown below? v=x^2 + 3x - 2 O A. (1,1) O B. (2,6) O C. (-1,-4) O D. (0,2)
9514 1404 393
Answer:
C. (-1, -4)
Step-by-step explanation:
Since you have the graph, you can easily plot the points to see which lies on it. The attached shows that only (-1, -4) is on the graph.
Samara runs 5 miles in 40 minutes if she continues running at the same pace how many minutes will it take her to run 13 miles
Answer:
104 minutes
Step-by-step explanation:
it takes 8 minutes to run a mile, so 8x13 is 104
3. Mr. Jones bought 5 X kilograms of flour for $825.
Tell whether each statement is True or False
The po
product
33
-)
gives the price of a kilogram of flour
a True
b False
Answer: See explanation
Step-by-step explanation:
Your question isn't clear but let me help out by reframing the question .
Let's say that Mr. Jones bought 5kilograms of flour for $825. To get the price of a kilogram of flour, we will need to divide $825 by 5. This will be:
= $825 / 5
= $165
Therefore, the price of a kilogram of flour will be $165
if you have a slope of 1/2 that means you should
Write y=-1/3x+2 in standard form
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = - \frac{1}{3} x + 2 \\ [/tex]
Multiply sides by 3
[tex]3y = - x + 6[/tex]
Add sides x
[tex]x + 3y = 6[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hurry and answer please .
Answer:
First sentence is false
second sentence is true
third sentence is false
and the last one is true
Step-by-step explanation:
Step-by-step explanation:
the first person is right
From the set (42, 18, 15), use substitution to determine which value of x makes the equation true.
3x = 45
Answer:
the answer is 15
Step-by-step explanation:
3x = 45
divide 45 by 3
x = 15
please help me asap
1.option D and 2 is option D too
What is 29.74 rounded to the nearest tenth?
A: 29.0
B: 29.6
C: 29.7
D: 30.0
Answer:
The answer would be 29.7
Step-by-step explanation:
The reason is would be 29.7 is when you are rounding to the nearest tenth, you take the first number to the right after the decimal and if it is 4 or below it stays the same and 5 above and it goes up one.
I hope this is right. Let me know if this helped!!
Answer:
C: 29.7
Step-by-step explanation:
You'd start by looking at the hundreths, which is 0.04. Since that is less than 0.05, it wont round up, but instead down. Hence, 29.7 is the answer.
1.) Seven friends are sharing three packs of Pokemon cards. How much of each pack will each friend get?
Answer: Each friend will get 2 packs of Pokemon cards.
Answer:
2.33333333333
Step-by-step explanation:
7÷3=2.33333333333
PLEASE HELP ME WITH THESE TWO QUESTIONS ILL GIVE U A GREAT RATING
For #8 its B. 4.5
For #9 is C. 33/5
What expression uses the GCF and is equivalent to 28 + 16
Answer:
The answer is 4(7+4)
Chi has $11:30 in dimes and quarters. The number of dimes is three more
than three times the number of quarters. How many of each are there?
DO NOT COPY AND PASTE. THE ANSWER IS 63 DIMES AND 20 QUARTERS. HOW DO I GET THIS.
Answer:
To solve this question, we first have to know that we are trying to assemble
and solve equations with two variables: x
and y.
Assuming x
is the number of dimes and y
is the number of quarters, we
can assemble the equations.
since the number of dimes is 3 more than three times the number of quarters,
we get x=3y+3.
Additionally, multiplying the number of dimes by 0.1 and the number of
quarters by 0.25,
we get the total value of x
and y
which appears by this
equation 0.1x+0.25y=11.30
.
Substituting the value of x
in the second equation, we get 0.1(3y+3)+
0.25y=11.30
.
Solving this equation, we get that the value of x,
we get x=3×20+3=
Using the first equation to get the value of x,
we get x=3×20+3=
60+3=63
dimes.
Chapter 9
Math Models and Geometry
Section 2
Solve Money Applications
Prealgebra
Step-by-step explanation: