The total cost of the skirts Devi bought is $19x + $42n + $15. The cost can be calculated by multiplying the number of skirts (4) by the cost per skirt ($3x).
To find the total cost of the skirts Devi bought, we need to calculate the sum of the costs of each type of skirt.
Let's break down the cost of each type of skirt:
Cost of 7 skirts at $x each: The cost can be calculated by multiplying the number of skirts (7) by the cost per skirt ($x).
Cost = 7 * $x = $7x
Cost of n skirts at $12 each: The cost can be calculated by multiplying the number of skirts (n) by the cost per skirt ($12).
Cost = n * $12 = $12n
Cost of (2n+1) skirts at $15 each: The cost can be calculated by multiplying the number of skirts (2n+1) by the cost per skirt ($15).
Cost = (2n+1) * $15 = $15(2n+1) = $30n + $15
Cost of 4 skirts at $3x each: The cost can be calculated by multiplying the number of skirts (4) by the cost per skirt ($3x).
Cost = 4 * $3x = $12x
Now, let's calculate the total cost by summing up the costs of each type of skirt:
Total Cost = Cost of 7 skirts + Cost of n skirts + Cost of (2n+1) skirts + Cost of 4 skirts
Total Cost = $7x + $12n + $30n + $15 + $12x
Total Cost = $7x + $12x + $12n + $30n + $15
Total Cost = $19x + $42n + $15
Therefore, the total cost of the skirts Devi bought is $19x + $42n + $15.
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What is6.24 divided by 10
Answer:
.624
Step-by-step explanation:
Hope this helps.
Answer: 0.624
Step-by-step explanation:
Compute the magnitude of the following complex numbers (a) 1+i (b) 1−i (c) 1+i/1−i
(d) 3+i4/1+i
(e) 3e^iπ
To compute the magnitude we calculate it. The magnitude of the complex numbers are (a) √2, (b) √2, (c) 2, (d) √2/2, and (e) 1.
(a) The magnitude of 1+i is √(1^2 + 1^2) = √2.
(b) The magnitude of 1-i is √(1^2 + (-1)^2) = √2.
(c) To compute the magnitude of (1+i)/(1-i), we can simplify the expression first:
(1+i)/(1-i) = [(1+i)(1+i)] / [(1-i)(1+i)] = (1 + 2i + i^2) / (1 - i + i - i^2) = (1 + 2i - 1) / (1 - 1) = 2i.
The magnitude of 2i is √(0^2 + 2^2) = √4 = 2.
(d) To compute the magnitude of (3+i4)/(1+i), we can simplify the expression first:
(3+i4)/(1+i) = [(3+i4)(1-i)] / [(1+i)(1-i)] = (3 - 3i + 4i + 4i^2) / (1 - i + i - i^2) = (3 + i - 4) / (1 + 1) = (-1 + i) / 2.
The magnitude of (-1+i)/2 is √((-1/2)^2 + (1/2)^2) = √(1/4 + 1/4) = √(2/4) = √(1/2) = 1/√2 = √2/2.
(e) To compute the magnitude of 3e^(iπ), we can use Euler's formula, which states that e^(ix) = cos(x) + i*sin(x).
Here, x = π, so e^(iπ) = cos(π) + i*sin(π) = -1 + 0i = -1.
The magnitude of -1 is √((-1)^2 + 0^2) = √1 = 1.
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I will give 39 points to brainliest answer.
Answer:
where's the height?
Answer:
what is the answer i want to know i think its D
You and your friends are picking up videos at a video store. You have selected 7 videos but will only have time to watch 3 videos together. How many different ways can you select the 3 videos to watch?
b. What formula should you use?
Using the combination formula, there are 35 different ways you can select 3 videos to watch out of the 7 videos you have selected.
To calculate the number of different ways you can select 3 videos to watch out of the 7 videos you have selected, you can use the combination formula.
The combination formula, also known as "n choose k," calculates the number of ways to choose k items from a set of n items, without regard to the order of selection. It is given by the formula:
\(C(n, k) = \frac{n!}{ (k! * (n - k)!)}\)
where n! denotes the factorial of n.
In this case, you want to select 3 videos out of the 7 videos you have. Therefore, you can use the combination formula as follows:
\(C(7, 3) = \frac{7! }{(3! * (7 - 3)!)}\)
\(C(7, 3) = \frac{7!}{ (3! * 4!)}\)
Simplifying further:
\(C(7, 3) = (7 * 6 * 5 * 4!) / (3! * 4!)\)
The 4! terms in the numerator and denominator cancel out:
\(C(7, 3) = \frac{(7 * 6 * 5) }{ (3 * 2 * 1)}\)
C(7, 3) = 35
Therefore, using the combination formula, there are 35 different ways you can select 3 videos to watch out of the 7 videos you have selected.
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if the change in y is 3 t and x is 1 what is the rate of change?
Answer:
the x axis changes
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by \(1^{o}\) F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by \(10^{o}\) F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
Question (8 points)
Kirsten went to Champs and brought a pair of KD's for $99.99 and a shirt to match for $17.99. If Kirsten gave the
cashier $120, how much change will she get back
7) The senior classes at High School A and High School B planned separate trips to
Yellowstone National Park. The senior class at High School A rented and filled 2 vans
and 7 buses with 407 students. High School B rented and filled 1 van and 7 buses with
389 students. Every van had the same number of students in it as did the buses. How
many students can a van carry? How many students can a bus carry?
Answer:
Number of students in each van = 18
Number of students in each bus = 53
Step-by-step explanation:
Given: The senior class at High School A rented and filled 2 vans and 7 buses with 407 students.
High School B rented and filled 1 van and 7 buses with 389 students.
Also, every van and the van had the same number of students in it.
Solution:
Let x denotes number of students in each van and y denotes number of students in each bus.
According to the given information,
\(2x+7y=407\,\,\,(i)\\x+7y=389\,\,\, (ii)\)
From (ii), put \(x=389-7y\) in (i)
\(2(389-7y)+7y=407\)
\(778-14y+7y=407\\778-407=7y\\7y=371\\y=\frac{371}{7}=53\)
Put \(y=53\) in \(x=389-7y\)
\(x=389-7(53)\\=389-371\\=18\)
Number of students in each van = 18
Number of students in each bus = 53
Tell whether the ratios form a proportion.
1. 17/20, 90.1/106
2. 3.2/4, 16/24
3. 34/50, 6.8/10
an orange has a volume of about 113.1 cm3. what is the area, in sq cm, of the cross-section when the orange is cut in half? round to the nearest tenth.
If there is orange with a volume of 113.1 cm3, the area of the cross-section when the orange is cut in half is approximately 34.9 sq cm.
If we assume that the orange is a sphere and has a volume of 113.1 cm3, we can use the formula for the volume of a sphere to find the radius of the orange. The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.
Substituting the given volume of 113.1 cm3 and solving for the radius r, we find that r = (3V / (4 * pi))^(1/3) = (3 * 113.1 / (4 * pi))^(1/3) approximately 3.3 cm.
Next, we can use the formula for the surface area of a sphere to find the area of the cross-section when the orange is cut in half. The formula for the surface area of a sphere is A = 4 * pi * r^2, where r is the radius of the sphere. Substituting the value of the radius that we calculated above, we find that the area of the cross-section is A = 4 * pi * (3.3 cm)^2 approximately 34.9 sq cm.
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Miguel ran 2 9 10 miles on Monday. On Friday, Miguel ran 5 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday? Miguel ran miles farther on Friday
Answer:
\(11\dfrac{3}{5}$ miles\)
Step-by-step explanation:
Miguel ran \(2\dfrac{9}{10}\) miles on Monday.
On Friday, he ran 5 times as far as he did on Monday.
Miles run on Friday
\(=5 X 2\dfrac{9}{10}\)
\(=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles\)
Difference in Number of Miles Run
\(=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles\)
Therefore, Miguel ran \(11\dfrac{3}{5}$ miles\) farther on Friday.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 250.5 35m = 300 45.25m 250.5 â€" 35m = 300 â€" 45.25m 250.5m â€" 35 = 300m â€" 45.25 250.5m 35 = 300m 45.25
The number of months it will take for both accounts to have the same amount of money is 250.50 - 35m = 300 - 45.25m, which can be found using the equation.
Let m be the number of months.
It is given that:
The international Business club starts with $ 250.50 in their account.
and each month they spent $ 35 on activities.
This means that after m months the total amount left in the bank account is:
250.20-35 m
The future agriculture leaders club start with a amount of $ 300 and spent $ 45.25 each month.
This means that the amount left in the account after m months is:
300-45.25m
Now, the equation that represents same amount of money in both the accounts is:
250.50-35m=300-42.25m
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Which is the graph of a quadratic equation that has a positive discriminant?
Answer:
graph d
Step-by-step explanation:
Which expresses the power of a product property?
The expression that represents the power of a product property is a^m * a^n = a^(m + n)
What is the power of a product property?This power of a product property states that when two powers that have the same base are multiplied, the exponents of the bases are added
How to determine the expression?The statement is given as
The power of a product property
The definition above implies that the representation of the power of a product property is
x^m * x^n = x^(m + n)
Using the above as a guide, we have
a^m * a^n = a^(m + n) -- option (d)
Hence, the expression that represents the power of a product property is a^m * a^n = a^(m + n)
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1,868 to the nearest hundred
Answer: 1,900
Step-by-step explanation:
You would round up to 1,900 because in the tens place is a 6 and when you have a number greater than or equal to 5 you round up. Hope this helps!
the outcome of a simulation experiment is a(n) probablity distrubution for one or more output measures
The outcome of a simulation experiment is a probability distribution for one or more output measures.
Simulation experiments involve using computer models to imitate real-world processes and study their behavior. The output measures are the results generated by the simulation, and their probability distribution is a statistical representation of the likelihood of obtaining a particular result. This information is useful in decision-making, as it allows analysts to assess the potential impact of different scenarios and identify the most favorable outcome. To determine the probability distribution, the simulation is run multiple times with varying input values, and the resulting outputs are analyzed and plotted. The shape of the distribution indicates the degree of uncertainty associated with the outcome.
The probability distribution obtained from a simulation experiment provides valuable information about the likelihood of different outcomes and helps decision-makers make informed choices.
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a store buys 120 baseball hats at 0.50 each including tax.the store sells the hats at Markup of 50% they sell all of the hats during the season for the selling price.How much money do they receive for the sales of all the hats
Answer:
R90
Step-by-step explanation:
120 hats sold and each = $0.50
0.50 × 120 = R60 (all the baseball hats cost)
50% of 0.50 = 0.25
0.25 × 120 = 30 (markup price)
60 + 30 = 90 ( total received for the sales)
write the equation for the line through (4,3) with a slope of -1/2 in slope intercept form
What is the growth factor when something is decreasing by:
15.7%
0.12%
When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.
In math, what is the definition of multiplying?
Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.
If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.
As a result, when something decreases by 15.7%, the growth factor is about 1.182.
When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.
As a result, when something decreases by 0.12%, the growth factor is about 1.00012.
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What is the mode of the data set shown below?
A. 8
B. 10
C. 13
D. 15
Answer:
15 (D)
Step-by-step explanation:
There are 3 15s
it comes up the most
Answer:
D. 1515 is the mode of the data set shown below.Explanation:
15 is the mode because it is shown many times.
Prove that if n is Problem 5.4. In this problem, we outline a proof of the following theorem: Theorem 5.6. Let x and y be real numbers. If xy>1/2, then x 2
+y 2
>1. Your mission is to fill in the gaps and blanks, leaving no detail omitted. Proof. The proof will proceed by (insert name of proof technique or description of proof strategy here). So suppose that x 2
+y 2
≤1. Now we know that (x−y) 2
≥0. (Insert missing steps of proof here.) Therefore xy≤1/2, and the proof is complete.
The given theorem states that if the product of two real numbers, x and y, is greater than 1/2, then the sum of their squares, x^2 + y^2, is greater than 1 which can be proved if xy > 1/2, then x^2 + y^2 > 1.
To prove the theorem by contradiction, we assume that x^2 + y^2 ≤ 1. We want to show that this leads to a contradiction and therefore cannot be true.
Since (x-y)^2 ≥ 0 for any real numbers x and y, we can expand the square as follows:
(x-y)^2 = x^2 - 2xy + y^2 ≥ 0.
Rearranging the terms, we have:
x^2 + y^2 ≥ 2xy.
Now, let's focus on the assumption given in the theorem: xy > 1/2. Multiplying both sides of this inequality by 2 gives:
2xy > 1.
Combining this with the previous inequality, we have:
x^2 + y^2 ≥ 2xy > 1.
This contradicts the initial assumption that x^2 + y^2 ≤ 1. Therefore, our assumption must be false, and the theorem holds true.
Hence, if xy > 1/2, then x^2 + y^2 > 1. The proof is complete.
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An electrician charges a flat fee for each job plus an hourly rate . He charged one customer $90 for a job that took him 3 hours . He charged another customer $150 for a job that took him 8 hours . Which equation models the relationship?.
Answer:
let x equal the service charge.
let y equal the per hour charge.
for the job that cost 450, the equation is 450 = x + 6y
for the job that cost 330, the equation is 330 = x + 4y
these two equations needs to be solved simultaneously.
subtract the second equation from the firs to get 120 = 2y
solve for y to get y = 60.
in the first equation, replace y with 60 to get 450 = x + 6*60.
simplify to get 450 = x + 360.
subtract 360 from both sides of the equation to get 90 = x.
it appears that the service charge is equal to 90 and the per hour charge is equal to 60.
for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.
for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.
the numbers check out.
the service charge is 90.
the per hour charge is 60.
i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.
Step-by-step explanation:
11x = 57 pls tell i will give extra points for correct answer
Answer:
x=5 2/11
Step-by-step explanation:
its either 5 2/11 or 57/11
how many non-similar triangles have angles whose degree measures are integers in arithmetic progression?
Angles in 59 non-similar triangles having degree measures that are integers via arithmetic progression.
Let the summation of the angle values be: Using arithmetic progression & triangle knowledge, letting the sum of the angle values be:
∑degree = 180
For an odd arithmetic progression with a strange number of words, the median term is equivalent to the average of both the sum of all terms:
An arithmetic sequence's nth term,
Let the initial triangle angle =a
Let d be a common difference.
Because the angles' measurements follow an arithmetic progression \(T_{n}\) = a + (n - 1) × d
a + (a + d) + (a + 2d) = 180
3a+3d=180
a+d=60
Because an or d cannot be identical to zero, the minimum and maximum possible values for a and d are 1 and 59, respectively.
As a result, there are 59 distinct triangles.
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Joaquin used two types of flour in a muffi n recipe. How much flour did he use in all? Solve any way you choose.
Answer:
Total flour used = 3 1/6 c
Step-by-step explanation:
Whole wheat flour = 1 1/2 c
Buckwheat flour = 1 2/3 c
How much flour did he use in all?
Total flour used = Whole wheat flour + buckwheat flour
= 1 1/2 c + 1 2/3 c
= 3/2 c + 5/3 c
= (9c + 10c) / 6
= 19c/6
= 3 1/6 c
Total flour used = 3 1/6 c
A local band wants to know what kind of music people between the
ages 14-23 like to listen to. The band leader goes to a local school and
ašks a random group of students about their music preferences. What
is the bias, if any, of the situation?
Answer:
I got you
Step-by-step explanation:
they would like bass boosted music and music with deep meaning
PLEASE PLEASEEEEEEEEE PLEASEEEE ANSWERRRRR ILL LOVE UUUU!!!
Step-by-step explanation:
9 x 4=36 is the answer
hope this helps you
have a nice day:)
what is the inverse of x and y
Answer:
inverse is opposite so i assume its y and x
Step-by-step explanation:
Find the surface area
The surface area of the square base pyramid is 1425 inches².
How to find the surface area of a square base pyramid?The surface area of the square base pyramid can be found as follows:
surface area of square base pyramid = a² + 2al
where
a = side length of the square basel = slant heightTherefore,
a = 19 inches
l = 28 inches
Therefore,
surface area of square base pyramid = 19² + 2 × 19 × 28
surface area of square base pyramid = 361 + 1064
surface area of square base pyramid = 1425 inches²
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help pls and thank uu:)
Answer and Step-by-step explanation:
The answer is 1.
When g(x) is 0, we need to add 4 to both sides, then divide each side by 4 to get the x by itself. We see that x is equal to 1.
0 = 4x - 4
4 = 4x
x = 1
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