deluxe coffee is to be mixed iwth regular coffee to make at least 56 pounds of a blended coffee. the mixture must contain at least 13 pounds of deluxe coffee. deluxe coffee costs 4 perpound and regular coffee 3 per pound. how many pounds of each kind of coffee should be used to minimize costs
Answers
To minimize costs while meeting the constraints, the optimal solution is to use 13 pounds of deluxe coffee and at least 43 pounds of regular coffee in the blend. This ensures that the minimum cost is achieved while satisfying the quantity requirements.
To solve the optimization problem step by step, let's follow the steps again
Start by considering the constraint x ≥ 13. Since we want to have at least 13 pounds of deluxe coffee, we can set x = 13.
Substitute this value of x in the first constraint: 13 + y ≥ 56. Solve for y:
13 + y ≥ 56
y ≥ 56 - 13
y ≥ 43
This means that y should be greater than or equal to 43 pounds.
We have x = 13 and y ≥ 43. These values satisfy both constraints.
Therefore, to minimize costs, we should use 13 pounds of deluxe coffee and at least 43 pounds of regular coffee.
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--The given question is incomplete, the complete question is given below "deluxe coffee is to be mixed iwth regular coffee to make at least 56 pounds of a blended coffee. the mixture must contain at least 13 pounds of deluxe coffee. deluxe coffee costs 4 perpound and regular coffee 3 per pound. how many pounds of each kind of coffee should be used to minimize costs? To attain the minimum cost, use pounds of deluxe coffee and pounds of regular coffee."--
Related Questions
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the base of the ladder? round your answer to the nearest hundredth.
Answers
The distance between the building and the ladder is 34.876 foot.
What is a Right Triangle?A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.
The ladder forms a right triangle with the building and the ground,
The length of the triangle is 40 foot
The angle made by the ladder is 29.32 degree
By using Trigonometric Ratios
cos 29.32 = Base / Hypotenuse
cos 29.32 = Base / 40
0.8718 × 40 = Base
Base = 34.876 foot
Base is the distance between the building and the ladder.
Base of the ladder = 34.876 foot
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Two vertices of a right triangle have coordinates (3, 7) and (3, 10). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a right triangle?
O (4,4)
O (7,8)
O (8,7)
O (4,8)
Answers
Answer:
8,7
Step-by-step explanation:
i hope this helps!
if 3000$ is invested at a rate of 12% compounded continuously, find the balance in the account after 5 years. Use the formula A=Pe^rt
Answers
Answer:
$5466.36
Step-by-step explanation:
This question is pretty cut and dry
just plug in the numbers
\(3000e^{5*.12}\\3000e^{.6}\\5466.356401\\5466.36\)
Drag each lable to the correct location
crops based on wether they were originally grown in europe
Answers
The matchup are:
hunter-gatherers - their diet was mainly meat from wild animals , they did not own many things.farmers - they owned land and property , they depended on domesticated plants and animals for food.What is the statements about?Individuals who possess their own piece of land and cultivate their own crops are known as farmers.
In essence, hunter-gatherers primarily hunt for their sustenance. They possess arms and venture into the woods or fields to hunt and procure sustenance. They consume the fruits of their own labor by relying on their ability to obtain food.
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PLEASE HELP!!!!
Given vector bold lower u equals left angle bracket 6 comma negative 4 right angle bracket and the graph of vector v, find bold lower v minus 2 bold lower u and express the result in terms of i and j.
A. negative 18 bold lower I minus 8 bold lower j
B. 6i + 6j
C. 10j
D. 24 bold lower I minus 6 bold lower j
Answers
The required expression for the given vector is 10j.
What is vector?A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.
The sum of two vector quantities is always a vector quantity.
The sum of two vector quantities can vary from their scalar difference to their scalar addition.
The vector is given as u = (6, -4)
Which can be written as u = (6 - 0)i + (-4 - 0)j = 6i - 4j.
And, from the graph the vector v is v = (7 - (-5))i + (2 - 0)j = 12i + 2j
Then, the vector v - 2u can be calculated as follows,
v - 2u = 12i + 2j - 2(6i - 4j)
= 10j
Hence, the vector v - 2u can be evaluated as 10j.
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What is the domain of the function?
Answers
Answer:
A
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function.
Pls answer fast thx
Answers
rand function: to make the value static so that they don't keep changing when we click anywhere in the excel sheet, use copy and then paste as?
Answers
In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.
What is function?The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.
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Does anybody know 5.4.7: Teenagers CodeHs. Please help I am stuck in this
Answers
Answer:
The program in Python is as follows:
age = int(input("Age: "))
if age>=13 and age <=19:
print("Teenager")
else:
print("Not a teenager")
Step-by-step explanation:
This gets input for age
age = int(input("Age: "))
This checks if age is between 13 and 19 (inclusive)
if age>=13 and age <=19:
If yes, the age is teenage
print("Teenager")
If otherwise, the age is not teenage
else:
print("Not a teenager")
Solve for x with zero product propertyX^2 + 4x -27 = 5
Answers
Answer
\(\begin{gathered} Given\text{ }x^2+4x-27=5 \\ x^2+4x-27-5=5-5 \\ x^2+4x-32=0 \end{gathered}\)Using factorization method
\(\begin{gathered} x^2+8x-4x-32=0 \\ x(x+8)-4(x+8)=0 \\ (x+8)(x-4)=0 \end{gathered}\)\(\begin{gathered} x+8=0\text{ }or\text{ }x-4=0 \\ x=-8\text{ }or\text{ }x=4 \end{gathered}\)Therefore, x = -8 or x = 4
The expression 5y^3/5
is equivalent to:
Answers
the value of the given expression 5y³/⁵ is 5\(\sqrt[5]{x^{3} }\).
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an expression, 5y³/⁵
Since the root of a number is:
The root of a number in math is a number that when multiplied by itself produces the original number.
Since,
x¹/ⁿ = \(\sqrt[n]{x}\)
So in our case,
=> 5y³/⁵
=> 5\(\sqrt[5]{x^{3} }\)
therefore, The value of the given expression is 5\(\sqrt[5]{x^{3} }\).
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what is p in this situation? if u answer correct ill mark you brainliest.
Answers
It’s a fraction btw with a negative in front of it .
On October, 9 a canoe company had a 10.9% off sale in honor
of Leif Erickson day. Their best oar's original price was
$165.89. What was their best oar's sale price on that day?
Answers
Explanation:
Calculate the discounted price:
165.89 x 10.9/100 = 18.08$
Subtract the discounted price from the original price:
165.89 - 18.08 = 143.81$
143.81 is the price of their best oar’s sale on Leif Erickson day.
HELP!! 2. in the figure, x is an exterior angle to the triangle below.
a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __ Step 2: __ Step 3: __
(b) what is the measurement of < x ?
Answers
Answer:
< x = 120°
Step-by-step explanation:
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120
On average, Mary can drive to the supermarket in 10 minutes.
but depending on Mathie the drive can vary from the average by minutes Which absolute Value equation can be used to calculate wary's maximum and minimum drive times?
Let x represent the maximum and minimum time.
|x+10|=5
|x-10|=5
|x+5|=10
|x-5|=10
Answers
Answer:
it is going to have to be the 3rd one
Answer:
|x−10|=5
Step-by-step explanation:
just took the test
if the measure of angle 1=105 degrees what is the measure of angle 3
Answers
Step-by-step explanation:
Since it is a parallelogram,
opposite angles are equal, hence,
angle 1 = angle 3 = 105°
Monica bowled three games. Her scores were 175, 142, and 133. What was her mean, or average, score? 112. 5 142 150 158. 5.
Answers
hola
Step-by-step explanation:
hello hola hello46893+728292=72829
Simplify the expression. 54−6 ⋅ 5÷3 Enter your answers in the boxes. 54−6 ⋅ 5÷3 =54− ÷3 =54− =
Answers
Here it is, can u give me a brainliest answer???
Joseph typed a 36- word paragraph in 2/3 minute. What is his typing speed in words per minute?
Answers
Answer:
It is 54.
Step-by-step explanation:
You divide 36 by 2/3.
6(3−y) simplified plz help meeeeeee
Answers
Answer:
18 - 6y
Step-by-step explanation:
6(3 - y) ← multiply each term in the parenthesis by 6
= 18 - 6y
Answer:
18-6y
Step-by-step explanation:
6(3-y)
you multiply 6x3 and 6xy
HELP DUE IN 15 MINS!
In rhombus ABCD, m∠CDE = 50°, DB = 12 ft, and AC = 16 ft
1. m∠CEB =?? degrees
2. m∠BCE =?? degrees
3. m∠ADE =?? degrees
4. ° DE =?? degrees
5. CB =?? degrees
Answers
Answer:
1.) m∠CEB = 90 degrees => The intersection is perpendicular
2.) m∠BCE = 40 degrees => 180 - (50 + 90)
3.) m∠ADE = 50 degrees => 180 - (40 + 90)
4.) DE = 6 ft => half of DB: 12/2
5.) CB = 10 ft => Using Pythagorean Theorem, solve:
=> 8² + 6² = CB²
=> 64 + 36 = CB²
=> 100 = CB²
=> \(\sqrt{100}\) = CB
=> 10 = CB
Hope this helps!
Answer:
Step-by-step explanation:
I'm just adding the answer to 3. Give the other answerer the Brainliest.
Given a Rhombus, The diagonals bisect the angle that the diagonal is connect to
Therefore <ADE = 50 degrees, same as <CDE.
Find the value of x. 3x - 9 24+2 27
Answers
the answer is x equal to 18
Does the tallest can always hold the greatest volume? Explain your answer!
Answers
Alrighty, so, you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.
If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.
The tallest container holds the most liquid. Identical containers can have a different capacity.
On a certain hot summer's day, 311 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $525 How many children and how many adults swam at the public pool that day?
Answers
The number of children that swam in the public pool that day is 194
and the number of adult that swam in the public pool that day is 117
Let x represent the number of children that swam in the public pool that day.
Let y represent the number of adult that swam in the public pool that day.
On a certain hot summer day, 311 people used the public swimming pool. This means that
x + y = 311
The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $525. This means that
$1.50x + $2.00y = $525 - - - - - - - -1
Substituting x = 311 - y into equation 1, it becomes
1.50(311 - y) + 2.00y = 525
466.5 - 1.50y + 2.00y = 525
0.5 y = 58.5
y = 117
Substituting y = 117 into x = 311 - y, it becomes
x = 311 - 117
x = 194
Hence , the number of children that swam in the public pool that day is 194 and the number of adult that swam in the public pool that day is 117.
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As an estimation we are told 5 miles is 8 km.
Convert 57.5 miles to km.
Answers
Answer:
5 miles=8km
1miles=8/5=1.6km
57.5 miles=(57.5×1.6)km
=92km
A survey collected data from a random sample of 144 people living in Jade city. The sample average of the distance people travel to reach their workplaces (
Y
ˉ
) is 20.84 km and the standard deviation (s
Y
) is 7.96 km. The standard error of the sample average of the distance people travel to reach their workplaces is km. (Round your answer to two decimal places.) Let μ
Y
denote the mean of the distance all the people in Jade city travel to reach their workplaces. The p-value of the test H
0
:μ
Y
=22 km vs. H
1
:μ
Y
=22 km is (Round your answer to two decimal places.)
Answers
The standard error of the sample mean is approximately 0.66 km, and the p-value for testing H₀: μY = 22 km vs. H₁: μY ≠ 22 km cannot be determined without additional information.
A survey was conducted in Jade City with a random sample of 144 people to gather data on the distance they travel to reach their workplaces. The sample average distance (Ȳ) was found to be 20.84 km, with a standard deviation (sȲ) of 7.96 km. To estimate the accuracy of the sample mean, we need to calculate the standard error, which measures the variability of the sample mean.
The standard error (SEȲ) of the sample mean is calculated by dividing the standard deviation (sȲ) by the square root of the sample size (n). In this case, since the sample size is 144, we can calculate the standard error as follows:
SEȲ = sȲ / √n = 7.96 / √144 = 7.96 / 12 = 0.6633 (rounded to two decimal places)
This means that the standard error of the sample mean of the distance people travel to reach their workplaces is approximately 0.66 km.
Moving on to hypothesis testing, we are testing the null hypothesis (H₀) that the population mean distance traveled to workplaces (μY) is equal to 22 km against the alternative hypothesis (H₁) that it is not equal to 22 km. The p-value of the test measures the probability of obtaining a sample mean as extreme or more extreme than the observed value, assuming the null hypothesis is true.
To determine the p-value, we would need additional information such as the test statistic or the critical value. Without that information, we cannot calculate the exact p-value in this context.
Therefore, the standard error of the sample mean is approximately 0.66 km, and the p-value for testing H₀: μY = 22 km vs. H₁: μY ≠ 22 km cannot be determined without additional information.
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What is the area of the circle?
Answers
Answer:
Step-by-step explanation
radius=diameter/2
=16/2
=8 ft
area of circle=πr^2
=π*8^2
=π64 ft^2
Answer:
The area of the circle is 64π^2
Explanation:
the diameter is 16, so you divided it by 2 to get the radius, which is 8. The equation that is used to solve for area of circle is A = πr^2. So the equation that I used was A = π8^2.
In convex hexagon $ABCDEF$, all six sides are congruent, $\angle A$ and $\angle D$ are right angles, and $\angle B$, $\angle C$, $\angle E$, and $\angle F$ are congruent. The area of the hexagonal region is $2116(\sqrt2 1)$. Find $AB$.
Answers
The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.
There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
x = 46
Therefore, the value of AB exists 0.46.
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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.
The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
By taking root both sides,
x = 46
Therefore, the value of AB exists 0.46.
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I hope you can see this well I just need help on this problem.
Answers
Given:
a.) The width of the rectangle is 0.7 meters less than the length.
b.) The perimeter of a rectangle is 44.6 meters.
First, let's draw the rectangle to better understand the problem.
Recall: The formula in getting the perimeter of the rectangle.
\(\text{ Perimeter = 2Length + 2Width}\)But it stated that the width of the rectangle is 0.7 meters less than the length.
Thus,
Width = Length - 0.7
Let's now find its Length,
\(\begin{gathered} \text{ Perimeter = 2Length + 2Width} \\ \text{ 44.6 = 2Length + 2(Length - 0.7)} \\ \text{ 44.6 = 2Length + 2Length - 1.4} \\ \text{ 44.6 + 1.4 = 4Length} \\ \text{ 46 = 4Length} \\ \text{ 4Length = 46} \\ \text{ }\frac{\text{4Length}}{\text{ 4}}\text{ = }\frac{\text{ 46}}{\text{ 4}} \\ \text{ Length = }11.5\text{ meters} \end{gathered}\)Therefore, the length of the rectangle is 11.5 meters.
Let's now determine the width,
Width = Length - 0.7
= 11.5 - 0.7
Width = 10.8 meters
Therefore, the width of the rectangle is 10.8 meters.
In the definition of Imaginary Numbers i2 = 1, 1) How can we evaluate i10 ? I need the work step- by-step.
Answers
The final answer is -1.
The definition of Imaginary Numbers is actually i2 = -1. With this definition, we can evaluate i10 by using the rules of exponents and the fact that i2 = -1. Here are the steps to evaluate i10:
1. Rewrite i10 as (i2)5 using the rule of exponents that (ab)c = abc.
2. Substitute -1 for i2 using the definition of Imaginary Numbers.
3. Simplify (-1)5 to get -1.
So, i10 = (i2)5 = (-1)5 = -1. The final answer is -1.
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