The pharmacy must charge for $201.6 for the entire bottle.
Profit is the financial gain to the seller after selling some commodity
Revenue is the total sale of the seller after selling some commodity
Expenses is the expenditure to the seller before selling the commodity
Profit = Revenue - Expenses
Cost of the tablet = $4.60
Total cost of the bottle=$4.60x30
=$138
Additional cost=$1.40 x 30
= $42
Total expenses=$180
Profit %=125
Revenue= $180 x (1+12/100)
=$180 x (112/100)
=$201.6
Therefore, The pharmacy must charge for $201.6 for the entire bottle for a profit of 12%
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Help please I need it now!
Answer: [tex]\sum^{7}_{n=1} (-2+9n)[/tex]
Step-by-step explanation:
This is an arithmetic series with first term 7 and common difference 9, so the general formula for the nth term of the sequence is [tex]7+9(n-1)=7+9n-9=-2+9n[/tex].
The sequence has 7 terms, so the sigma notation is:
[tex]\sum^{7}_{n=1} (-2+9n)[/tex]
Which table has greater constant of proportionality?
The table with greater proportionality is table 3.
What is constant proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
As, the constant proportionality is
k= y/x
For table 1,
k = 1/1 = 2/2 =1
For table 2,
k = 6/1= 12/2 = 2
For table 3,
k = 5/1 = 10/2 = 5
For table 4,
k = 4/1 = 8/2 = 4
Hence, table 3 is with greater proportionality.
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The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If there are 31 wrecks when 1,085 cars have traveled through the intersection, how many cars have passed through the intersection after 7 wrecks?
The number of cars that have passed through the intersection after 7 wrecks is 1/5 cars
Direct variationNumber of wrecks = wNumber of cars = cw = k × c
31 = k × 1,085
31 = 1,085k
k = 1085/31
k = 35
If w = 7
w = k × c
7 = 35 × c
7 = 35c
c = 7/35
c = 1/5 car
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A swiming pool has a length of 12meters width of 6 meter and a height of a 5 meter how much water is needed to fill the swiming pool?
Answer:
[tex]\boxed {360 m^{3}}[/tex]
Step-by-step explanation:
Water needed to fill the pool = volume of pool
Volume :
Volume = Length × Width × HeightVolume = 12 m × 6 m × 5 mVolume = 12 m x 30 m²Volume = 360 m³Hence, 360 m³ of water has to be filled.
Answer:
360 m³
Step-by-step explanation:
The swimming pool can be modeled as a rectangular prism with the following dimensions:
length = 12 mwidth = 6 mheight = 5 mTo find how much water is needed to fill the pool, calculate the volume of the rectangular prism using the given dimensions:
[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf length \times width \times height\\\implies \textsf{Volume of pool} & = \sf 12 \times 6 \times 5 \\& = \sf 72 \times 5\\& = \sf 360 \:\: m^3\end{aligned}[/tex]
Therefore, 360 m³ of water is needed to fill the swimming pool.
Dwayne is selling hamburgers and cheeseburgers. he has 100 burger buns. each hamburger sells for $3, and each cheeseburger sells for $3.50. which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80? h c ≤ 80 3h 3.5c ≤ 100 h c ≤ 80 3h 3.5c ≥ 100 h c ≤ 100 3h 3.5c ≤ 80 h c ≤ 100 3h 3.5c ≥ 80
Let h represent hamburgers and c represent cheeseburgers
h + c ≤ 100 - The number of burgers sold
3h + 3.5c ≥ 80 - Amount that each burger sells for
Evaluate 21 + (-3c) when c=-2
27
Solution:
Substitute c with -221 + ( -3 ) ( -2 )
Simplify21 + 6
27
Therefore, The answer is 27.
what is the measure of < ABC ?
Answer:
I believe its A. 37
Step-by-step explanation:
That seems to be the measure of B
Which is the correct classification of StartRoot 18 EndRoot?
irrational number, non-repeating decimal
irrational number, terminating decimal
rational number, terminating decimal
rational number, non-repeating decimal
The correct classification for √18 is an irrational number, non-repeating decimal.
The correct classification of √18 is an irrational number.An irrational number is a number that cannot be expressed as a fraction (ratio) of two integers and cannot be written as a terminating or repeating decimal.
√18 cannot be simplified to a fraction, and when expressed as a decimal, it is a non-repeating decimal that continues indefinitely without a pattern.
Therefore, the correct classification for √18 is an irrational number, non-repeating decimal.The number √18 is the square root of 18. An irrational number is a number that cannot be expressed as a fraction of two integers (a/b) where a and b are integers and b is not equal to zero.
When we calculate the square root of 18, we find that it is approximately 4.24264. However, this decimal representation continues indefinitely without repeating or terminating. It does not settle into a pattern of digits that repeats infinitely like a rational number or terminate after a finite number of decimal places.
Since √18 cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating, it falls under the category of an irrational number.
Therefore, the correct classification of √18 is an irrational number, specifically a non-repeating decimal.
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Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 6. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 20 , 6 ) b. If an American is randomly chosen, find the probability that this American will receive no more than 24 Christmas cards this year. 0.7486 c. If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year. d. 66% of all Americans receive at most how many Christmas cards? (Please enter a whole number)
The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
Probabilitya. Distribution
X ~ N (20 , 6)
b. P(x ≤24)
= P[(x - μ ) / σ (24 - 20) / 6]
= P(z ≤0.67)
= 0.74857
=0.7486
Hence:
Probability = 0.7486
c. P(21 < x < 26)
= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]
= P(-0.83 < z < 0.67)
= P(z < 0.67) - P(z < -0.)
= 0.74857- 0.2033
= 0.54527
Hence:
Probability =0.54527
d. Using standard normal table ,
P(Z < z) = 66%
P(Z < 0.50) = 0.66
z = 0.50
Using z-score formula,
x = z× σ + μ
x = 0.50 × 6 + 20 = 23
23 Christmas cards
Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
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Transform each graph as specified below.
Answer:
Transcribed image text: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Graph y=2f(x). (b) the graph of y=g(x) is shown. Graph y=g(2x).
What is the vertex of the absolute value function defined by f(x) =3|x+7|-2
The vertex of the absolute value function is (-7,-2)
How to determine the vertex?The function is given as:
f(x) = 3|x + 7| - 2
The above function is an absolute value function.
An absolute value function is represented as:
f(x) = a|x - h| + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-7,-2)
Hence, the vertex of the absolute value function is (-7,-2)
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Find the domain and range of the function.
f(x) = 9x² + 3
domain
range
Answer:
Domain: all real numbers, or (-oo, oo)
Range: (3, oo).
Step-by-step explanation:
The domain is the set of x-values that work when plugged into a function. Here, all values when plugged in produce a real answer, so the answer is all real numbers, or (-oo, oo).
The range is the result of the domain, or the y-values. Since the x^2 will only produce positive numbers, the lowest y-value we can get is 3, and the highest y-value we can get is infinity. So, the answer is (3, oo).
Brainliest, please :)
PLease simplify this!!!
show all work!
The simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].
The given expression is [tex]\frac{4(3x^{2} y^{4} )^{3} }{(2x^{3} y^{5} )^{4} }[/tex].
What are exponents?Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".
We need to simplify the given expression.
Now, [tex]\frac{4(3^{3}x^{6} y^{12} )}{2^{4} x^{12}y^{20} }[/tex]
⇒[tex]\frac{108x^{6}y^{12} }{16x^{12} y^{20} }[/tex]
⇒[tex]\frac{27}{4x^{12} y^{8} }[/tex]
Therefore, the simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].
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What is the base area of Box 3? x2 + x
edge
The expression of base area of box will be 4x + x²
The area of a a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. Basically, the area formula is the product of the rectangle's length and width.
Given,
Length = 4+x
width = x
height = x²+1
We have to find the expression of base area of box
Given the length, width, and height
The formula for area of rectangle is as follow:
Area of rectangle = length x width
Area of rectangle = (4+x) x (x)
Area of rectangle = 4x + x²
Hence the expression of base area of box will be 4x + x²
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Express 10/4 as a mixed fraction
Hey there!
10/4
≈ 10 ÷ 2 / 4 ÷ 2
≈ 5/2
≈ 2 1/2
Therefore, your answer should be:
2 1/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Consider the following loan. Complete parts (a)-(c) below
An individual borrowed $88,000 at an APR of 6%, which will be paid off with monthly payments of $667 for 18 years.
a. Identify the amount borrowed, the annual interest rate, the number of payments per year, the loan term, and the payment amount.
The amount borrowed is $, the annual interest rate is%, the number of payments per year is the loan term is years, and the payment amount is $
The complete statements are mathematically given as
the amount borrowed= 88000the annual interest rate= 6%the number of payments per year= 12The loan term= 18the payment amount.=8004What is the amount borrowed, the annual interest rate, the number of payments per year, the loan term, and the payment amount.?Generally, The transfer of money, products, or services in return for other goods and services in proportions that have been previously agreed upon and deemed acceptable is what is meant by the term "payment."
In conclusion, the amount borrowed= 88000
the annual interest rate= 6%
the number of payments per year= 12
The loan term= 18
the payment amount.=667*12
the payment amount.=8004
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Covert 3/7into a percent
Answer:
42.86%
Step-by-step explanation:
Our percent fraction is 42.857142857143/100, which means that 37 as a percentage is 42.86%
Here we are going to show you step by step how to convert the fraction 3/7 to a percentage.
In the fraction 3/7, 3 is the numerator and 7 is the denominator.
First, we are going to divide the numerator by the denominator. Therefore, we are going to divide 3 by 7.
3 ÷ 7 = 0.428571A percentage shows a number as a proportion of one hundred.
Now we are going to multiply 0.72 by 100 to get the percentage.
0.428571 x 100 = 42.86Therefore, the answer to 3/7 percent is
42.86%Note: If necessary, we round to the nearest hundred.
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Help I’m stuck on this question! Please help.
Answer: 20
Step-by-step explanation:
A and B have 57+79-42=94 distinct elements in total.
This means that 114-94=20 elements are in neither A nor B.
What would the slope of a line be if it were parallel to the line: y = 1 / 3x - 5 ?
Answer:
Parallel lines have the same slope, so the slope would be 1/3. It would need a different y intercept though or it would be the same line.
Estimate the solution to the following system of equations by graphing.
9x + 8y=26
3x + 2y=9
Solution of 9x+8y=26 and 3x+2y=9 are given by (C) [tex]\mathbf{x=\frac{10}{3},y=-\frac{1}{2}}[/tex].
We have to plot the graphs of the given two lines or curves, then we have to find the intersection point(s) of the curves or lines. That point is the solution for the system of the equations.
Given equations are,
9x+8y=26 .................(1)
3x+2y=9 ...................(2)
Now multiplying 3 with (2) and then subtracting (1) from that we get,
3(3x+2y)-(9x+8y)=3(9)-26
9x+6y-9x-8y=27-26
-2y=1
y=-1/2, on dividing both sides by -2
Substituting the value of y in (1) we get,
9x+8(-1/2)=26
9x-4=26
9x=26+4
9x=30
x=30/9=10/3
Also if we draw the graphs of the given equations by using graphing calculator we get,
Here in the graph we can see that the lines represented by the given equations intersects each other at point [tex]\left(\frac{10}{3},-\frac{1}{2}\right)[/tex].
Hence the solution is [tex]x=\frac{10}{3},y=-\frac{1}{2}[/tex].
Thus the correct option is (C).
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An avid traveler is investigating whether travel websites differ in their pricing. She chooses a random sample of 32 hotel rooms from across the state and notes the price of each room from site A and site B. The mean difference (site A – site B) in the prices for the rooms is $5.49 with a standard deviation of $18.65.
Assuming the conditions for inference have been met, is there evidence that the prices of hotel rooms from site A and site B are different, on average? Use a significance level of a = 0.05.
A. Because the P-value is less than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.
B. Because the P-value is greater than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.
C. Because the P-value is less than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.
D. Because the P-value is greater than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.
Suntract (7x-3x)-(5x-6).
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: final \:\:value = -x + 6 \degree[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: (7x - 3x) - (5x - 6)[/tex]
[tex]\qquad \tt \rightarrow \: (4x) - 5x - ( - 6)[/tex]
[tex]\qquad \tt \rightarrow \: 4x - 5x + 6[/tex]
[tex]\qquad \tt \rightarrow \: - x + 6[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:6-x
Step-by-step explanation:
The solution is in the image
Find x. Round to the nearest 10th
Answer:
[tex]\boxed{\bf x = 23.5}[/tex]
Step-by-step explanation:
Using the law of sines.
[tex] \bf \cfrac{ \sin(A) }{a} = \cfrac{ \sin(B) }{b} [/tex]
A = 42B = x a = 22a = 12[tex]\bf \cfrac{ \sin(42) }{22} = \cfrac{ \sin(x) }{12} [/tex]
[tex]\bf \cfrac{12}{22} \sin(42) = \sin(x) [/tex]
[tex] \bf \sin(x) = 0.4[/tex]
[tex]\bf x = 23.5[/tex]
_______________________A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?
A) 6 hours
B) 2 hours
C) 4 hours
D) 9 hours
E) 0 hours
Answer:
6 hours for daughter alone Answer A
Step-by-step explanation:
Rate of mom to clean one house = 1 house /3 hrs = 1/3
rate of daughter = 1/x
Now find the time to clean one house with their combined rates for one house
1 / (1/3 + 1/x ) = 2 hrs
1/3 + 1/x = 1/ 2
x + 3 = 3/2 x
3 = 1/2 x
x = 6 hrs daughter alone
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The answer is (x+4) (x-2) =x.x
Square (Rug A) has area x times x = x^2 (All sides of square are equal)
x is the side of Rug A
For the Rectangle (Rug B) it mentioned that it has a length of that is 4 ft greater than the length of Rug A. The expression could be written as Length = (x+4)
It also mentions that the width of Rectangle is 2 ft less than Rug A. The expression could be written as Width = (x-2)
So, if you multiply (x+4) and (x-2), will give you the area of rectangle (Rug B)
The question mentions that the area of the rectangle and square are equal, so therefore the answer is (x+4) (x-2) =x.x
Hope it helps!
Which of the following choices name the sides of DGF?
Answer:
Second choice GD and GF with the LINE symbol over each
Step-by-step explanation:
Angle named DGF means that G ( in the middle) is the vertex so GD would be a line starting at G going out toward D and G F would be a line starting at G going out to F
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
If the value of mean is 781.67, then the standard deviation will be 100. Then the correct option is C.
The complete question is given below.
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.
65
75
100
130
What is a standard deviation?It is a metric for statistical information dispersion. The degree of spread indicates how much the result varies.
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan.
The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
The mean of the data will be
Mean = (700 + 735 + 680 + ...... + 820 + 750) / 12
Mean = 781.67
Then the standard deviation will be
SD² = [(700 – 781.67)² + (735 – 781.67)² + ..... + (750 – 781.67)²] / 12
SD² = 10072.2222
SD = 100.36 ≈ 100
Then the correct option is C.
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Decimal expansion of 2 1/6
The decimal expansion of 2 1/6 is 2.167
How to determine the decimal expansion?The expression is given as:
2 1/6
Rewrite the expression as:
2 + 1/6
Express 1/6 as decimal
2 + 0.167
Evaluate the sum
2.167
Hence, the decimal expansion of 2 1/6 is 2.167
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A carpet installer charges a flat rate of $40 + $1.50 per square foot for labor so the total cost for the labor depends on the amount of carpet installed the relationship between the total cost for labor and the amount of corporate installed is the domain of the relation is the range of the relation is
The domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A carpet installer charges a flat rate of $40 and $1.50 per square foot for labor.
So the total cost for the labor depends on the amount of carpet installed, the relationship between the total cost for labor and the amount of corporate installed.
Then the domain of the relation is the range of the relation will be
Let y be the total amount and x be the number of square foot.
y = 1.5x + 40
Then the domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).
The graph is given below.
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My supersonic jet burns 4 gallons of jet fuel in 3 seconds. How many gallons of jet fuel do I need to fly for an hour?
The number of gallons of Jet fuel that is needed to fly for an hour is; 14400 gallons
How to solve simple Algebra?We are given;
Number of gallons burned = 4 gallons
Time to burn 4 gallons = 3 seconds
Now, for 1 hour there are 3600 seconds and so;
Number of gallons that is burnt in 3600 seconds = 3600 * 4
Number of gallons that is burnt in 3600 seconds = 14400 gallons
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