The function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600
How to formulate a function P(x) for the total profit from the production and sale of x toilets?The given parameters are
Fixed cost = 16600
Variable cost = 67 per toilet
Cost of toilet = 157 per toilet
Let the number of toilets be x
So, the cost function is
C(x) = Fixed cost + Variable cost * Number of toilets
This gives
C(x) = 16600 + 67x
Also, we have the revenue function to be
R(x) = Cost of toilet * Number of toilets
This gives
R(x) = 157x
The function P(x) for the total profit from the production and sale of x toilets is
P(x) = R(x) - C(x)
So, we have
P(x) = 157x - 16600 - 67x
Evaluate
P(x) = 90x - 16600
Hence, the function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600
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A recipe for limeade calls for 10 limes, 0.25 cups of sugar, 1 quart of water, and 1 sprig of mint, and yields eight 4-fluid-ounces servings. How many limes would you need to make fifteen 0.75 cups servings of limeade.
0.9375 limes are required to make 0.75 cups servings of limeade.
Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.
Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.
⇒ 10 limes make up 8 cups
Number of limes required for 1 cup of limeade = 10/8
= 1.25 limes
Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75
= 0.9375 limes
Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.
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Find the rate of change from 2012 to 2015
Answer:
3 years
Step-by-step explanation:
1/-(x+1) = 1/-x-1
true or false
Given that x is rational
By the property of addition, if 1 is added to any number, it exceeds the next number and doesn't remain the same.
Hence, x + 1 is not equal to x
The given statement is false.
Try This: For every rational number x, x + 0 = x. Is it true or false?
By the property of additive identity, any number added with 0, remains the same.
Hence, x + 0 = x, the given statement is true!
Can you use the angle bisector theorem to solve for RU?
Answer:
Can you use the angle bisecto
Step-by-step explanation:
Answer:
yes , we can use the angle bisector theorem to solve for RU
Step-by-step explanation:
6 ÷ 1/4 I need help quick
Answer: your answer is 1 and 1/2
Step-by-step explanation:
7. A piece of stone on Planet Y weighs seven pounds, but on Earth it weighs only
pounds. What would a 130-pound Earthling weigh on Planet Y?
The 130-pound Earthling will weigh 227.5 pounds on Planet Y.
We are given that:
a piece of stone weights 7 pounds on a Planet Y.
and the same stone weights 4 pounds on the planet earth.
We need to find that how much 130 pound Earthling weigh on the planet Y.
We know that:
7 is 175% of 4
As, 175 / 100 × 4 = 175 / 25 = 7
We will use percentage here:
So now, we will calculate 175 % of 130 pounds.
175% of 130 = 175 / 100 × 100
175% of 130 = 227.5
Therefore, the 130-pound Earthling will weigh 227.5 pounds on Planet Y.
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For ΔFGH, shown below, which of the following is an expression for yin terms of x?
x+4
x2+4−−−−−√
x2+8−−−−−√
x2−16−−−−−−√
x2+16−−−−−−√
The expression for y in terms of x is √x^2 + 16
How to determine the expression for y in terms of x?The figure represents the given parameter
On the figure, we can see that the triangle is a right triangle, where the side HG is the hypotenuse
By the Pythagoras theorem, we have the following equation
HG^2 = HF^2 + FG^2
This gives
y^2 = x^2 + 4^2
Evaluate the exponents
y^2 = x^2 + 16
Take the exponent of both sides
y = √x^2 + 16
Hence, the expression for y in terms of x is √x^2 + 16
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1 is subtracted from the cube of a number.
The expression of the statement is x^3 - 1
How to determine the expression?The mathematical statement is given as
1 is subtracted from the cube of a number.
Let the number be x
So, we have
1 is subtracted from the cube of x
The cube of x is x^3
So, we have
1 is subtracted from x^3
Rewrite as
x^3 - 1
Hence, the expression of the statement is x^3 - 1
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Does 1/6, -3, √7, -6/5, or 4.5 come first when the numbers are listed from least to greatest? Explain.
Answer:
-3
Step-by-step explanation:
The smallest one is chosen between the two negatives as all the rest are greater.
- 3 is smaller than - 6/5= -1.2 as 3 > 1.2
the answer is -3
Use the diagram to complete the task. Move a number to each line to show the ratio of squares to pentagons.
Answer:
use gauth math
Step-by-step explanation:
Please help I will give Brainly pls !
Answer:
The student's GPA is 3.12
Step-by-step explanation:
Multiply the grade by the weight to determine the grade point;
= (3.8 x 5) + (2.4 x 3) + (3.1 x 5) + (2.9 x 5)
= 19 + 7.2 + 15.5 + 14.5
= 56.2
Total weight = 5 + 3 + 5 + 5 = 18
GPA = 56.2/18
=3.12
3.71 thousand in ordinary notation
3.71 thousand is written as 3,710
In figures, the digits in 3.71 thousand are separated with commas and written as 3,710.
The number 1 thousand in numbers is 1000 . Therefore, if we want to find x thousand in number form, we want to find x copies of 1000 in number form. To do this, we simply multiply x by 1000.
x thousand = x × 1000
This gives that to find 3.71 thousand in numbers, we multiply 3.71 times 1000.
3.71 × 1000 = 3710
If we want to write 3.71 thousand in words, then it will be written as
three thousand seven hundred ten.
Therefore, 3.71 thousand as a number is 3710 and It has 1 zeros.
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The figure shows a net of a cube. Which expression can be used to find the total surface area of the cube?
Answer:
Option C: 6(7 * 7)
Step-by-step explanation:
There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.
What is the solution of this equation?
x + 3 = 14
Enter the correct answer
Answer: 11
Step-by-step explanation:
Answer:
11+3=14 x=11
Step-by-step explanation:
What was asked:
What is the solution of this equation?
Step 0 x + 3 = 14
Step 1 14-3=11
Step 2 x=11
Therefore 11+3=14
How is using mental math to add money like using mental math to add whole numbers? How is it different?
Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that;
Money addition is always in base ten and The unit is always same with the unit of the particular currency used.What is mental math?
The term mental math refers to the method of completing mathematical calculations without the use of calculator or pen and paper. This is actual solving a mathematical problem and not memorizing answers. It is a quality one learns over time after understanding how to solve the problem.
Mental math covers addition subtraction and other mathematical solution methods. It is used to make calculations simpler and fairly easier.
'what is whole numbers?This is a number that is not expressed as fraction or decimals. examples of whole numbers are 2, 5, 17, 200, -85 and so on. addition of such numbers can be done with mental math.
Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that: Money addition is always in base ten and the unit is always same with the unit of the particular currency used. However whole numbers may occur is units outside the unit of money and in other number bases that is not base ten
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The ages of students in a dance class are 10, 9, 11, 12, 9, 10, 9, 10, 11, 12, 8, 12, 12. What is
the mode for this set of data?
10
oll
12
Answer:89
Step-by-step explanation:
I am outside the path. I am the diffference of 2 numbers inside the path. I am less than 5. What number am I?
Answer:
I think 0
Step-by-step explanation:
a circle has a radius of 3m. find the length s of the arc intercepted by a central angle of 2pi/3 radians
Answer:?
Step-by-step explanation:
Alonso has $460 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $270.71.
He buys 4 bicycle reflectors for $3.09 each and a pair of bike gloves for $33.71.
He plans to spend some or all of the money he has left to buy new biking outfits for $68.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Alonso can purchase while staying within his budget.
Answer: [tex]0\leq x\leq 2[/tex]
Step-by-step explanation:
[tex]460-270.71-3.09*4-33.71=143.22[/tex]
After all his purchases, he has $143.22 left. Outfits cost $68.20 each.
[tex]143.22/68.20=2.1[/tex]
He has enough to buy at most, 2 outfits.
So, your inequality would be
[tex]0\leq x\leq 2[/tex]
Answer:
v
Step-by-step explanation:
v
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Answer:
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Step-by-step explanation:
The graph shows the number of vehicles built at a factory last month
How many fewer bulldozers were built than garbage trucks and motorcycles combined
There are 14 fewer bulldozers were built than garbage trucks and motorcycles combined.
What is a bar chart?The bar chart is one of the means that we can use to show data. The bar chart is used to show categorical variables, discrete variables or continuous variables grouped variables.
The bar chart has two axes, the vertical axes and the horizontal axes. The vertical axes is used to show the number while the horizontal axis shows the type of the object.
We can see that the number of garbage trucks and motorcycles combined = 4 + 20 = 24
Number of bulldozers = 10
We now have; 24 - 10 = 14
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If m< 4 = 130°, find m< 7.
Answer:
Are m< 4 and m< 7 supplementary angles?
In that case the answer is m< 7=50 degrees.
Step-by-step explanation:
In that case...
m< 4+m< 7=180
130+m< 7=180
130-130+m< 7=180-130
m< 7=50 degrees
Does 3 4 5 make a right triangle WILL GIVE 30 POINTS
True
The three internal angles of a 3-4-5 right triangle are 36.87 °, 53.13 °, and 90 °. As a result, a 3 4 5 right triangle is a scalene triangle since the lengths and internal angles of all three sides differ.
Remember that a 3-4-5 triangle does not necessarily imply that the ratios are 3: 4: 5; it might be any common component of these numbers. A 3-4-5 triangle, for example, can alternatively adopt the following shapes:
They can have varying dimensions, but the 3-4-5 right triangle is the most popular.
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The heights of women aged 20-29 in the United States are
approximately Normal with mean 64.1 inches and standard
deviation 3.7 inches. Men the same age have mean height
69.4 inches, with standard deviation 3.1 inches.
Cheryl D. Fyar et al., "Anthropometric reference data for children and adults:
United States, 2011-2014, Val and Health Statistics, Series 3, no. 39 (August
2016), at www.ode govchs. This report provides the means of various
anthropometric measurements. Standard deviations were computed from the
sample size and reported standard errors of the mean. Instructions on
measuring upper arm length are in the National Health and Nutrition
Examination Survey: Anthropometry Procedures Manual, January 2007.
M
B
O
Surat pen
What is the z-score for a woman 5.5 feet tall? Give your
answer to two decimal places.
-1.16
Incorrect
N
Sep 8
10:28
Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Considering that each feet has 12 inches, the parameters are given as follows:
[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]
Hence the z-score is found as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (66 - 64.1)/3.7
Z = 0.51
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Hello can someone helping me please #6
The perimeter of the rectangle below is 44 units. Find the length ab. If dc is 3z-3. And cb is 2z.
Answer:
ab=12
Step-by-step explanation:
p=perimeter
ab=cd ==> they're opposite sides of the rectangle, so they're equal
bc=da ==> they're opposite sides of the rectangle, so they're equal
p=ab+bc+cd+da
p=ab+cb+dc+da
p=ab+dc+2*cb
44=3z-3+3z-3+2*2z
44=3z+3z-3-3+4z
44=6z+4z-6
44=10z-6
10z=50
z=5
ab=cd=dc=3z-3
ab=3(5)-3
ab=15-3
ab=12
Almost any kind of quantitative data can be represented by a graph and some of these graphs represent functions. This is why functions and graphs are the objects analyzed by calculus. The next two problems illustrate data which can be represented by a graph. Match the following descriptions with their graphs below:
Using the relation between velocity, distance and time, the items and graphs are matched as follows:
1. D.
2. B.
3. A.
4. C.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
Hence the distance is given by:
d = vt.
Along a city street, we have that:
The velocity would have a few peaks and few moments where it diminishes, due to breaking moments, hence item 4 matches with graph c.The distance would have a few slow increases and a few moments where it remains almost constant, hence item 1 matches with graph 4.We can verify this that when graph C(velocity) is zero, graph D(position) is constant.
Along a superhighway we have that:
The velocity would increase until the maximum velocity then remain constant there, hence item 3 matches with graph a.The distance would have an almost constant increase, hence item 2 matches with graph b.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
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jada walks up to a tank of water that can hold up to 10 gallons a drain empities watrt from the tank at a constant rate when jada first sees the tank it contain 7 gallong of water tree minutes later it contains 5 gallons of water at what rate is the amount of water in the tank changing
Answer: 350
Step-by-step explanation:
times 10 by 7 so do 7 times 10 then u get 70 then do 70 times 5 and youll get 350
length of each side of a regular polygon is 6.4cm complete the error interval for the perimeter
The length of each side of a regular pentagon
a)6.4cm
b) 32cm
a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.
b) A pentagon has 5 sides.
The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.
Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).
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A plant that manufactures metal plates has a quality control team to check that the plates are the right size. A rectangular plate with dimensions 5 cm by 3 cm must have a length 0.25 cm above or below 5 cm. Use the solution to the equation |x − 5| − 0.25 = 0 to find the minimum and maximum area, in sq. cm, of the plates
Minimum:
Maximum:
From the calculations; the minimum area is 14.25 cm^2 and the maximum area is 15.75 cm^2
What is area of rectangle?We define the area as the product of length of the rectangle and width of the rectangle. We can give the unit of the area as square units. The area is the measure of the plane that has been covered by an object.
We have;
size of rectangular plate = 5 cm by 3cm.
Range of length = 0.25 of 5 cm
The minimum and maximum area are;
We can now formulate the following to solve the problem;
5 - 0.25 ≤ L ≤ 5 + 0.25
4.75 ≤ L ≤ 5.25
Area of rectangle = Length × Width.
Width = 3
minimum length = 4.75
maximum length = 5.25
minimum length
= 4.75 * 3
= 14.25 cm^2
maximum length
= 5.25 * 3
= 15.75 cm^2
We now obtain the minimum area as 14.25 cm^2 and the maximum area as 15.75 cm^2
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