Answers
Let n = number of nonmember tickets.
Let c = total cost
m number of member tickets cost 10m.
n number of nonmember tickets cost 24n.
The total cost is the sum of the two expressions.
c = 10m + 24n
Now we replace m w2 and n with 4, and we evaluate the expression.
c = 10m + 24n
c = 10(2) + 24(4)
c = 20 + 96
c = 116
Answer: The total cost is $116
Related Questions
four photographers are taking pictures at a school dance. Photographer A takes 25 of the pictures, Photographer B takes 4% , Photographer C takes 0.29 hey , and Photographer D takes 27/100 . Which choice lists the photographers in order from least to greatest by the amount of pictures they take?
Answers
x----------> number total of pictures
we know that
A------>25
B------> 4%----> 4/100------> 0.04x
C-----> 0.29------> 29%-------------------> 0.29x
D------> 27/100 --------> 27%--------------> 0.27x
[B+C+D]=4%+29%+27%--------> 60%
that means
A=100%-60%---------> 40%
so
A-------------> 0.40x
A------>0.40 x
B------> 0.04x
C-----> 0.29x
D------> 0.27x
the answer is
the photographers list in order from least to greatest by the amount of pictures they take is
B------> 0.04x
D------> 0.27x
C------> 0.29x
A------> 0.40x
Which expression can be used to find the quotient of 15 and ?
Answers
Which expression can be used to find the quotient of 15 and y?
to find the quotient of 15 and y let's divide the value of 15 between the value of y
(15/y)
the answer is
the expression is (15/y)
ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. Calculate the length of DE?
Answers
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
[tex]4 :x = 8 : 6 \\ \\ \frac{4}{x} = \frac{8}{6} \\ \\ x=4* \frac{6}{8}=3 [/tex]
Therefore, the length of DE will be 3 units
Corporate bonds from Hyren Airlines are selling at 106.133, bonds from Xyx Motors are selling at 97.701, and bonds from Ergar Appliances are selling at 101.294. If all of the bonds mentioned have a par value of $1,000 apiece, how much will it cost George to purchase one from each corporation? a. $3,051.28 b. $3,000.00 c. $3,305.12 d. $2,694.88
Answers
Hyren Airlines - 106.133
Xyx Motors - 97.701
Ergar Appliances - 101.294
Par Value - $1,000 a piece
Hyren Airlines: 1,000 * 106.133 = 106,133
Xyx Motors: 1,000 * 97.701 = 97,701
Ergar Appliances: 1,000 * 101.294 = 101,294
Total 305,128
305,128 / 100 = 3,051.28
George will spend $3,051.28 to purchase one bond from each corporation.
Answer:
A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE
Step-by-step explanation:
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What is the median for the data set?
252, 210, 264, 278, 208, 295, 248, 257, 284, 271
Express your answer as a decimal to the nearest tenth.
Enter your answer in the box.
Answers
Here there are total ten numbers (even)
So these are the steps we follow:
Step 1:
Arrange the numbers in ascending order.
252, 210, 264, 278, 208, 295, 248, 257, 284, 271
Ascending order is : 208, 210, 248, 252, 257, 264, 271, 278, 284, 295
Step 2:
Find the middle two numbers.
The middle two numbers are 257 and 264.
Step 3:
Find average of these two numbers.
Average = (257+264)/2 = 260.5
Answer : Median is 260.5
1.A natural law of growth is of the form y= [tex]5e^{0.2x}[/tex]. Draw a graph for this law for values of x from x = -3 to x = 3. From the graph:
A)Find the gradient of the curve at x = -2 and x = 1 by differentiation and by drawing a tangent to the curve.
B)Compare your two solution for these gradients
Answers
.. y' = e^(0.2x)
so the gradients are
.. at x=-2, e^-0.4 ≈ 0.67
.. at x=1, e^0.2 ≈ 1.22
It is difficult to get a good estimate of the gradient by drawing a tangent line. (If you want to try, the second picture is the same graph with the tangent lines turned off. You can print it out and draw your tangent line--or use your favorite picture markup program.)
B) They will likely be within "experimental error", accurate to within a couple of degrees of rotation. (Higher slopes are more difficult to approximate accurately.)
Please help with this multiple choice question ?
Answers
√5·14 = √70
A stock had returns of 11 percent, -18 percent, -21 percent, 20 percent, and 34 percent over the past five years. what is the standard deviation of these returns?
a. 18.74 percent
b. 20.21 percent
c. 20.68 percent
d. 24.01 percent
e. 23.49 percent
Answers
The standard deviation of the returns is 21.5 percent.
Explanation:To calculate the standard deviation of the returns, we need to follow these steps:
Calculate the mean of the returnsSubtract the mean from each return to find the deviationsSquare the deviationsCalculate the mean of the squared deviationsTake the square root of the mean of the squared deviationsLet's perform these steps:
The mean of the returns is (11 - 18 - 21 + 20 + 34) / 5 = 5.2 percentThe deviations are (11 - 5.2) = 5.8, (-18 - 5.2) = -23.2, (-21 - 5.2) = -26.2, (20 - 5.2) = 14.8, (34 - 5.2) = 28.8 percentThe squared deviations are 33.64, 538.24, 685.44, 219.04, 829.44 percent squaredThe mean of the squared deviations is (33.64 + 538.24 + 685.44 + 219.04 + 829.44) / 5 = 461.96 percent squaredThe square root of the mean of the squared deviations is sqrt(461.96) = 21.5 percentTherefore, the standard deviation of the returns is 21.5 percent.
A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the sum of the measures of the two acute angles. What is the common measure of the large angles, in degrees?
Answers
1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°
If x is the measure in degrees of each of the acute angles, then each of the larger angles measures 2x degrees. Since the number of degrees in the sum of the interior angles of an n-gon is 180(n-2), we have
x+x+2x+2x+2x=540 ⇒ 8x = 540 ⇒ x=135/2.
The large angles each measure 2x=135 degrees.
At noon, ship a is 30 nautical miles due west of ship
b. ship a is sailing west at 23 knots and ship b is sailing north at 17 knots. how fast (in knots) is the distance between the ships changing at 4 pm?
Answers
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.
Explanation:To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.
Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.
What is the value of x in simplest radical form?
Answers
a = 84
b = 13
c = x
[tex]\sqrt{84^2 + 13^2} = 85[/tex]
Thus, x = 85.
[tex] {x}^{2} = {13}^{2} + {84}^{2} \\ {x}^{2} = 169 + 7056 = 7225 \\ x = \sqrt{7225} = 85[/tex]
Marco drew 24 pictures he drew 1/6 of them in art class how many pictures did marco draw in art class
Answers
If he drew 1/6 of them ⇒ he drew 1/6 of the 24
1/6 of 24 =1/6 x 24 = 4
So he drew 4 of them.
24 × 1/6 = 24/6 = 4
Marco drew 4 pictures in art class.
Hope this helps!
The angle measures in degree that corresponds to 7pi
Answers
Pi radians = 360 degrees.
You can remember this because we use Pi when we calculate the circumference of a circle which is 360 degrees.
7 Pi radians = 7 • 360 = 2520 degrees.
Use the appropriate property of determinants to find
a.a. do not evaluate the determinants.
Answers
The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.
Explanation:Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.
When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.
What is the probability that of two randomly selected women, one is 68 inches or shorter and the other is 68 inches or taller?
Answers
Explain what equivalent fractions are and give an example.
Answers
Example:
1/2 and 2/4 are equivalent fractions because they are both equal to 0.5.
Hope this helps! Have a great day! :)
find the number of possible choices for a 4-digit (pin) if the digits cannot be repeated
find the possible choices of a 4-digit (pin) if the digits cannot be repeated
Answers
There are 10 digits to choose from for the first digit. Since the digits cannot repeat, there are 9 to choose from for the second; 8 choices for the third; and 7 choices for the fourth.
10(9)(8)(7) = 5040.
The number of possible choices for a 4-digit PIN where the digits can't repeat is 5040, coming from the product of the choices per position: 10 choices for the first digit, 9 for the second, 8 for the third, and 7 for the fourth.
Explanation:The subject of this question is combinatorics, a branch of mathematics that focuses on the counting and arrangement of objects. We want to find out the number of possible choices for a 4-digit PIN, where the same digit can't repeat. In this situation, at the first position, we have 10 choices (from 0 to 9). However, once we pick one number, it can't be repeated, so in the second, third and fourth positions, we have 9, 8, and 7 choices respectively.
So, we multiply the choices together to come up with 5040 (10*9*8*7) possible choices for a 4-digit PIN where the same digit can't be repeated. This method of counting is generally known as the multiplication principle in combinatorics.
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A farmer has harvested 60% of his crops. If he has harvested 72 acres, how many acres does the farmer have in all?
Answers
Answer:
120 Acres
Step-by-step explanation:
We want to find the total amount of acres that a farmer has given that we know how many acres are in a percentage of his farm.
The farmer has 120 acres in total.
We know that the 60% of the farmer crops is equivalent to 72 acres.
Now we want to find the 100%.
Then we write two equations:
100% = X
60% = 72 acres
Now we want to solve this for X.
To do it, we first take the quotient between the two equations:
100%/60% = X/(72 acres)
Now we solve this for X:
(100%/60%)*(72 acres) = X = 120 acres.
The farmer has 120 acres in total.
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The midpoint of the line segment from upper p 1p1 to upper p 2p2 is left parenthesis negative 1 comma 5 right parenthesis(−1,5). if upper p 1p1equals=left parenthesis negative 4 comma 6 right parenthesis(−4,6), what is upper p 2 question mark p2?
Answers
Final answer:
To find the coordinates of point P2 when given the midpoint M(-1, 5) and point P1(-4, 6), we use the midpoint formulas, resulting in P2 having the coordinates (2, 4).
Explanation:
The midpoint of a line segment is the point that is exactly halfway between the endpoints of the line segment. By definition, the midpoint M(x, y) can be found using the endpoints P1(x1, y1) and P2(x2, y2) with the formulas:
x = (x1 + x2)/2y = (y1 + y2)/2To find P2, we solve for x2 and y2 using the midpoint M(-1, 5) and the given point P1(-4, 6):
x2 = 2x - x1 = 2(-1) - (-4) = -2 + 4 = 2y2 = 2y - y1 = 2(5) - 6 = 10 - 6 = 4Therefore, the coordinates of point P2 are (2, 4).
Final answer:
The coordinates of P2 are (6, 4).
Explanation:
The midpoint of a line segment can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints. In this case, the midpoint is (-1, 5), and one endpoint is (-4, 6). To find the other endpoint, we can use the formula:
x-coordinate of P2 = 2 * (x-coordinate of midpoint) - x-coordinate of P1 = 2 * (-1) - (-4) = 2 + 4 = 6
y-coordinate of P2 = 2 * (y-coordinate of midpoint) - y-coordinate of P1 = 2 * (5) - 6 = 10 - 6 = 4
Therefore, the coordinates of P2 are (6, 4).
Work out the equation of the line which has a gradient of 3 and passes through the point (-1,3)
Answers
Answer: y=3x+6
Step-by-step explanation: use y=mx+c
The walking distance from the Empire State Building in New York City to Times Square is about 9/10 mile. The walking distance from the Empire State Building into sues hotel is 8 times as far
Answers
what I did was multiply 9 and 8 to get 72/10 and turned the improper fraction into a mixed number to get 7 2/10
Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
Step-by-step explanation:
Since we have given that
Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]
According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.
So, Walking distance from the Empire State Building into Sues Hotel is given by
[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]
Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
The sum of y and 3 is greater than 7 what is an inequality that can represent the phrase
Answers
is greater than 7 = > 7
y + 3 > 7 is your answer
hope this helps
Find an equation for the contour of f(x,y)=2x2y+7x+20f(x,y)=2x2y+7x+20 that goes through the point (3,−2)(3,−2).
Answers
.. f(x, y) = f(3, -2)
.. 2x^2y +7x +20 = 2*3^2*(-2) +7*3 +20
2x^2*y +7x +20 = 5
A contour at height c have [tex]\mathbf{f(x, y) = c}[/tex] as its equation
The equation of the contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
The given parameters are:
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{(x,y) = (3,-2)}[/tex]
Recall that:
[tex]\mathbf{f(x, y) = c}[/tex]
Substitute [tex]\mathbf{(x,y) = (3,-2)}[/tex] in f(x,y)
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{f(3,-2) = 2 \times 3^2 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate exponents
[tex]\mathbf{f(3,-2) = 2 \times 9 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate the products
[tex]\mathbf{f(3,-2) = -36 + 21 + 20}[/tex]
[tex]\mathbf{f(3,-2) = 5}[/tex]
Replace 3 and -2, with x and y
[tex]\mathbf{f(x,y) = 5}[/tex]
Substitute 5 for f(x,y) in [tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{2x^2y + 7x + 20 = 5}[/tex]
Collect like terms
[tex]\mathbf{2x^2y + 7x + 20 - 5 = 0}[/tex]
[tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
Hence, the equation of contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
Read more about equations of parabola at:
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find the lengths of all four sides : P (2,2), Q (1,-3),R (-4,2),S (-3,7)
Answers
Answer: I'm pretty sure it is PQ = sqrt [(-3-2)^2 + (1-2)^2] = sqrt 26 = 5.1
Step-by-step explanation:
simplify -1/2x+3-4x+5+3/2x
Answers
Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing?
Answers
To find the increasing intervals for this graph just based on the equation, we should find the turning points first.
Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3
Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x
This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.
This means that the interval by which this parabola is increasing is...
(-∞,3/2)
PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.
I really hope this helps!
Best wishes :)
if the numbers 1 2 3 4 5 are to be used in a five number code how many different codes are possible if reputitions are not permitted
Answers
there is a possibility of 120 codes. <<<< answer.
Compute the area of the triangle. H=8cm b=14cm
Answers
A= (b*h)/2
A=(8*14)/2=112/2=56
a loan of $940 was repaid at the end of 12 months with a check of $960 What annual rate of interest was changed
Answers
960÷11,280= 0.085 and that is the answer.
Breanna sold 1,200 Of Clothes At The dress shop and earned a commission of $210. What is her commission percent?
Answers
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1200&100\\ 210&x \end{array}\implies \cfrac{1200}{210}=\cfrac{100}{x}\implies x=\cfrac{210\cdot 100}{1200}[/tex]