The objective function of the printing company in a bid to minimize cost is; p = 25x + 20y.
What is the objective function of the company?The objective function in a linear programming problem is the real-valued function whose value is to be either minimized or maximized dependent on the constraints defined on the given linear programming problem over the set of feasible solutions. The objective function of a LPP is a linear function of the form z = ax + by in which case, z is the parameter to be optimised.
It therefore follows from the complete question that the objective function is; p = 25x + 20y. This follows from the fact that Supplier X charges $25 per case. Supplier Y charges $20 per case and the parameter to be optimised is price.
Remarks;
The complete question is as follows;
A printing company orders paper from two different suppliers. Supplier X charges $25 per case. Supplier Y charges $20 per case. The company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from Supplier X. The company needs no more than 2 times as many cases from Supplier Y as from Supplier X. Let x = the number of cases from Supplier X and y = the number of cases from Supplier Y.
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Answer:
D
Step-by-step explanation:
right on edge
please help me...asap
What is the period of the function graphed below?
Answer:
2
Step-by-step explanation:
The period is the distance between two peaks
a town is 61km north of 23km east of town B.bCalculate the bearing of A from B
Answer:
20.7°
Step-by-step explanation:
Bearing angle is measured clockwise from north. The geometry can be modeled by a right triangle with the sides equal to the distances north and east of town B. The tangent relation can be used to find the angle.
__
The attachment shows the geometry. The relevant angle relation is ...
Tan = Opposite/Adjacent
tanIβ) = 23/61 . . . . . where β is the bearing angle
The angle value can be found using the arctangent function.
β = arctan(23/61) ≈ 20.659°
The bearing of A from B is about 20.7°.
Help please anyone please
Answer:
You seem to have two questions, so I will answer both!
Step-by-step explanation:
The answer for the cube volume is D
If you remove a cube from another cube it is affecting more than one side, hence the -1 on two differents p's.
The true area of that house is 48m^2
Take the before scaling it, multiply it by the scale (200)
Square your answer and get around 48 m^2
(You actually get like 48.9897 etc, but we are kind of ignoring that)
Does anybody know this? ABCD is a parallelogram BDC=110. Find the following values,
Answer:
see explanation
Step-by-step explanation:
in a parallelogram]
• opposite sides are congruent
• opposite angles are congruent
• consecutive angles are supplementary , sum to 180°
• diagonals bisect each other
Then
DC = AB = 15
BC = 2 × WC = 2 × 9 = 18
∠ BAC = ∠ BDC = 110°
∠ DCA = 180° - 110° = 70°
DC = 15 (opposite sides in a parallelogram is parallel and equal to each other)
BC = 18 (the diagonals in a parallogram bisect at their midpoints -> BW = WC = 9 -> BC = 9 + 9 = 18)
angle BAC = 110 (opposite angles are equal to each other)
angle DCA = 70 (consecutive angles add up to 180, angle BAC and angle DCA are consecutive -> 180 - 110 = 70)
Scarlett drew a scale drawing of a campsite. The tent, which is 8 feet wide in real life, is 2 inches wide in the drawing. What is the scale of the drawing?
Answer:
25% or 0.25
Explanation:
Based on the given conditions, formulate: 2 divided by 8
Reduce the fraction: 1/4
get the result: 25% or 0.25
Answer: 25% or 0.25
Please Vote Me Brainliest. Thank You.
Answer:
48 : 1 or 48 to 1
Step-by-step explanation:
to find out the answer we have to first find out what 8 feet is in inches as shown below
8 * 12 = 96
then we apply the inch value to a scale factor setup where 96 is the larger set and 2 is the smaller image
96 : 2
find the least common denominator...
96 / 2 : 2 / 2
= 48 : = 1
and then rewrite the answer
48 : 1
good luck with ur studies, hope this helps with future problems ^^
Each planter has a base of 3
1
2
in by 1
3
4
in.
What is the area covered by all the planters?
Answer:
outcome, sample space.AND EVENT
A book has 180 pages. Haley read 12 pages each day.after a certain number of days there are 60 pages left,which equation and solve for X gives the number of days he read
Answer: She read for 10 Days, equation below
Step-by-step explanation:
Number of pages = 180
Rate = 12pages Per day
Number of days read = (180-60) /12
Days read = (total no of page - page left)/page read per day
= 120/ 12 = 10 days
Days remaining = pages left /page per day
=60/ 12 = 5
Choose the appropriate trigonometric ratio and solve for x. Round your answer to the nearest tenth.
Answer:
62.7
Step-by-step explanation:
Cos(ang) = Adjacent / hypotenuse
cos(37) = 48/x
x = 48 / cos(37)
x = 62.71
Answer:
x = 60.1
Step-by-step explanation:
- The provided side length is adjacent to given degree
- and we are lookin for the hypotenuse
SOH CAH TOA stands for,
sinx = opposite / hypotenuse
cosx = adjacent / hypotenuse
tanx = opposite / adjacent
cosine fulfills everything we have provided so we will choose cos
NOTE: x in cosx represent the degree amount
Solving:
cosx = adjacent / hypotenuse
cos(37°) = 48 / x
multiply both sides by x,
cos(37°)x = 48
divided both sides by cos(37°) to get x alone
x = 48 / cos(37°)x
x = 60.1025
Dalia buys a winter jacket at a used clothing store that costs $30. She lives in Idaho, where the sales tax is 6%. How much does Dalia pay in total?
Serena is taking 4 friends on a trip with her to Louisiana for spring break. They take two cars to the airport where Serena pays $7.00 per car to park. Serena is charged a total of $2114.00 for tickets and parking. She pays the same price for each plane ticket. Using an equation to help you solve, what was the price of each person’s ticket?
Answer:
$420
Step-by-step explanation:
number of people = 5 (4 friends + serena)
number of cars = 2
cost of parking = 7 for each car = 7 * number of cars = 7 * 2 = 14
let t be the cost of each ticket
cost of tickets = t for each person = t * 5
total cost = cost of parking + cost of tickets
= 14 + t * 5
= 2114
2114 = 14 + 5t
subtract 14 from both sides to isolate the variable and its coefficient
2100 = 5t
divide both sides by 5 to isolate t
t = 2100/5 = 420
The mean age of 11 women in an office is 19 years old. The mean age of 11 men in an office is 26 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
22.5
Step-by-step explanation:
The mean is calculated by taking the sum of the values and dividing by the count.
For instance, for the 11 women, with the mean being 19, we can see that the ages summed to 209:
11 x 19 = 209
And then we can do the same for men:
11 x 26 = 286
And now we can combine the sum and count of the men and women to find the mean for the office:
286 + 209 = 495
495/22 = 22.5
What are the solutions of the equation 4x2 3x = 24 – x? –3, 2, or 4 –3 or 2 –2, 3, or 4 –2 or 3
Answer:
2 and - 3
Step-by-step explanation:
I've attached my work...
- 4 + 20 / 8 -> 16/8 = 2
- 4 - 20 / 8 -> -24/8 = -3
Please give me feedback on my repsomse by commenting,
any way i can improve showing my work?
Hope it helps, let me know if you have questions !
Have a nice rest of your day :)
Can someone please help me with this
Answer:
Need to see question
Step-by-step explanation:
What's the question?
pls help me ?!?Liz purchases groceries her village store that totaled $55 before tax. how much did she have to pay in total after tax?
Answer:
I don't understand the question
20 yd
17 var
15 yd
16 yd
17 yd
6 in
I need the surface area
Answer:
1120 yards cubed
Step-by-step explanation:
hope this helps
have a good day
The following data set represents the age of
people in line to vote.
27, 52, 64, 41, 33, 38, 42, 60, 72,68
Mean:
Median:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Breaking the meaning down in simpler terms}[/tex]
[tex]\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}[/tex]
[tex]\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}[/tex]
[tex]\huge\textsf{Formulas for each term}[/tex]
[tex]\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }[/tex]
[tex]\huge\text{Mean:}\\\mathsf{\dfrac{sum\ of\ all\ terms}{number\ of\ terms}= mean}[/tex]
[tex]\huge\textbf{SOLVING FOR THE QUESTION}[/tex]
[tex]\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}[/tex]
[tex]\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{\dfrac{27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68}{10}}\\\\\mathsf{\dfrac{79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{143 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{184 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{217 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{255 + 42 + 60 + 72 + 68}{10}}[/tex]
[tex]\mathsf{\dfrac{297 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{357 + 72 + 68}{10}}\\\\\mathsf{\dfrac{429 + 68}{10}}\\\\\mathsf{\dfrac{497}{10}}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{\dfrac{497}{10}}}\ or \boxed{\text{49.70}} could possibly be your mean.}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
If the measure of each interior angle of a polygon is 150°, how many sides does it have?
Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. What is the probability that all of Erica's flights will be on time? А 36% B 66% С 76% D 86%.
Since the chance of a flight being on time is 90%. The probability that all of Erica's flights will be on time is B 66%.
To answer the question, we need to know what probability is
What is probability?This is the likelihood for an event to occur. It is given by
P(event) = number of required outcomes/total number of outcomes
Now, given that Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. So, P(flight) = 90%. Since they are indepent, we multiply their probability.
Probability that all of Erica's flights will be on time
So, the probability that all of Erica's flights will be on time is P(on time) = P(flight) × P(flight) × P(flight) × P(flight)
= [P(flight)]⁴
= (90%)⁴
= (0.9)⁴
= 0.656
≅ 0.66
= 66%
So, the probability that all of Erica's flights will be on time is B 66%.
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Harper leans a 24-foot ladder against a wall so that it forms an angle of 69
∘
∘
with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary
The horizontal distance between the base of the ladder and the wall is 67.0 feet.
What is distance?distance is the length between two points.
To calculate the horizontal distance between the ladder and the wall, we use the formula below.
Formula:
cos∅ = adjacent(y)/hypotenous(h)Make y the subject of the equation
h = y/cos∅........ Equation 2Where:
∅ = Angle between the wall and the laddery = horizontal distance between the base of the ladder and the wallh = Lenght of the ladder lean against the wallFrom the question,
Given:
y = 24 foot∅ = 69°Substitute these values into equation 2
y = 24/(cos69°)y = 24/0.358y = 67.0 feet.Hence, The horizontal distance between the base of the ladder and the wall is 67.0 feet.
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Harper leans a 24-foot ladder against a wall so that it forms an angle of 69
∘
∘
with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary
8.6 feet
3x8 to the second power
Answer:
the answer is 192 , hope it helps
96 Eight small bricks have the same mass as three large bricks The mass of one small brick is 1.5kg. What is the mass of one large brick?
Answer:
4 kg
Step-by-step explanation:
Since the mass of one small brick is 1.5 kg, the mass of 8 small bricks is 1.5 × 8, or 12 kg. Since 12 kg is the total mass of 3 large bricks, it follows that each large brick will have a mass of 12 ÷ 3, or 4 kg.
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
Consider the graph of function r.
Use the graph to complete each statement.
Function r has
and
. Based on the instantaneous growth rate, the population decreased
days and the population increased
days.
Answer:
[tex]r(x) = 0.05 (x^{2}+1 )x-6[/tex]
Step-by-step explanation:
Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
what is 62.5% as a decimal
Answer:
0.625
Step-by-step explanation:
please give me brainliest :(
Answer:
0.625
Step-by-step explanation:
How to Convert a Percent to a Decimal
Here are two ways to convert a percent to a decimal,
1. Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Example: 62.5% becomes 62.5/100 = 0.625
2. This way is easier and faster. Start by removing the percent sign and moving the decimal point 2 places to the left.
Example: 62.5%
⇒ 62.5
⇒ 6.25
⇒ .625
Hence, the answer is 0.625.
please help i’m struggling
Answer:
5
Step-by-step explanation:
Perimeter is all the sides of a shape added together, and theres 4 sides of a triangle. 20/4=5
i need help can someone help meeee
Answer:
1. 6.25 cm 2. 6 cm
3. 6.5 cm 4. 8.8 cm
Step-by-step explanation:
As area = length x width
so, width = area / length ----------(1)
by applying (1) on every part
1. 31.25 / 5
= 6.25 cm
2. 55.5 / 9.25
= 6 cm
3. 48.75 / 7.5
= 6.5 cm
4. 44 / 5
= 8.8 cm
I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answer:
x = 35
Step-by-step explanation:
The halves of a bisected angle have the same measure.
__
(x +34)° = 69°
x = 69 -34 = 35
The value of x is 35.
Find the area of the circle. Use 3.14 for pi. Round to the nearest unit. A circle has a diameters of 18 centimeters. A. 1,017 cm2 B. 254 cm2 C. 57 cm2 D. 28 cm2 2 / 5
Answer:
B. 254 cm²
Step-by-step explanation:
Hello!
CircleThe formula for the area of a circle is [tex]A = \pi r^2[/tex]
A is areaπ is pi (roughly 3.14)r is the radiusThe radius is half of the diameter, given with the formula [tex]D = 2r[/tex]
AreaUsing the information, we can first solve for the radius.
[tex]D = 2r[/tex][tex]18 = 2r[/tex][tex]9 = r[/tex]The radius is 9
Now we can plug 9 into the area formula:
[tex]A = \pi r^2[/tex][tex]A = \pi (9^2)[/tex][tex]A = 81\pi[/tex]We are going to use 3.14 for pi
[tex]A = 81(3.14)[/tex][tex]A = 254.34[/tex]The area is 254.34cm².
We are going to round to the nearest whole centimeter, which is roughly 254cm² or [tex]\boxed{\text{Option B}}}[/tex]
Help, been stuck on this problem for 20 minutes!
Answer: 24[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Answer:
24√6
Step-by-step explanation:
(3√8)(4√3) = 3 × 4 × √(4 × 2 × 3) = 12 × √4 × √6 = 12 × 2 × √6 = 24√6
Find the 1st term of an arithmetic sequence whose common difference is - 9 and whose 101st term is - 902.
Answer:
a = -2
Step-by-step explanation:
Tn = a+(n-1) * d
-902 = a + (101-1) * -9
-902 = a - 900
a = -902 + 900
a = -2
