Answer:
about 37.33
Step-by-step explanation:
90+22=112/3 is x
x=37.33
A movie theatre sells child tickets for $7.50, adult tickets for $9.75, and student tickets for
$8. The movie theatre sold twice as many child tickets as student tickets. If a total of 191
tickets for the film were sold and the total income was $1593.50, how many of each ticket
were sold?
Find the number of child, adult, and student tickets
Answer:
child: 74 adult: 117 student: 37
Step-by-step explanation:
x=2z
x+y+z=191
7.5x+9.75y+8z=1593.5
The number of tickets sold for child is 86.
The number of tickets sold for adults is 62.
The number of tickets sold for child students is 43.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Total tickets sold = $1593.50 _____(1)
Total number of tickets sold = 191 _____(2)
Let the number of tickets sold for child = P _____(3)
Let the number of tickets sold for adults = Q _______(4)
Let the number of tickets sold for students = R ______(5)
Cost of child ticket = $7.50 ______(6)
Cost of adult tickets = $9.75 ______(7)
Cost of student tickets = $8 _______(8)
We can make equations as:
From (2), (3), (4), and (5)
P + Q + R = 191 ____(9)
From (1), (6), (7), and (8)
7.50P + 9.75Q + 8R = 1593.50 _____(10)
We have,
P = 2R putting in (9) and (10)
2R + Q + R = 191
We get,
3R + Q = 191 _____(11)
15R + 9.75Q + 8R = 1593.50
23R + 9.75Q = 1593.50 _____(12)
From (11).
Q = 191 - 3R putting in (12)
23R + 9.75 (191 - 3R) = 1593.50
23R + 1862.25 - 29.25R = 1593.50
-6.25R = -268.75
R = 43 putting in Q = 191 - 3R
We get,
Q = 191 - 3 x 43 = 191 - 129 = 62
Putting R = 43 in P = 2R
We get,
P = 2x43 = 86
We have,
P = 86, Q = 62 and R = 43
Thus,
The number of tickets sold for child is 86.
The number of tickets sold for adults is 62.
The number of tickets sold for child students is 43.
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The perimeters of the triangles shown are equal. Find the side lengths of each triangle.
A
B
C
2x+7
2x+6
2x
2x
2x
3x+9
P
Q
R
AB = 15, AC = 14, BC = 8
PQ = 8 , QR = 24, PR = 8
The perimeter is the distance around the object. For example, your house has a fenced yard. The perimeter is the length of the fence. If the yard is 50 ft × 50 ft your fence is 200 ft long.
Perimeter of Δ ABC = Length of AB + Length of BC + Length of AC.
Perimeter of ΔABC = (2x + 7) + (2x) + (2x + 6) = 6x + 13
Perimeter of ΔPQR = (2x) + (3x + 9) + (2x) = 7x + 9
So, 6x + 13 = 7x + 9
Therefore, x = 4
AB = 2(4) + 7 = 15 PQ = 2(4) = 8
AC = 2(4)+6 = 14 QR = 3(5) + 9 = 24
BC = 2(4) = 8 PR = 2(4) = 8
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Tell whether x and y show a positive correlation, a negative correlation, or relatively no correlation.
2.) No correlation
3.) Negative correlation
Step-by-step explanation:
The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expression to describe the perimeter of Stephanie’s triangle
The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle.Numerical expression to describe the perimeter of Stephanie’s triangle is S =(1/2) J;
Let as assume that
Stephanie's triangle has a perimeter (S)
And, Juan's triangle has a perimeter (J);
According to question, it implies:
S =(1/2) J;
The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.
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xy - 2; use x = 3, and y = 5
Please explain step by step how to solve this type of problem.
Answer: 13
Step-by-step explanation:
x = 3, y = 5
xy - 2=
(3)(5)-2=
15-2=13
Samantha is a farmer and the other day she was on her way to sell eggs at the
market she got into an accident and all her eggs broke. In order for her to collect
money from the insurance company, she had to give the exact amount of eggs she
had. She doesn't remember how many eggs there were but when she was packing
them she remembered when she put them in groups of 2, 3, 4, 5, or 6, one egg was
left over. But in groups of 7 no eggs were left over.
How many eggs did she have?
Answer: 6
Step-by-step explanation: 6+1 Is 7 and there are no eggs left in the group of 7 so if they need one egg left and 7-1 is 6 the answer is 6.
write out the form of the partial fraction decomposition of the function (as in this example). do not determine the numerical values of the coefficients. (a) x − 30 x2 x − 30 (x−5)b (x 6)a (x−5)(x 6) (b) x2 x2 x 30
The form of the partial fraction decomposition of the given function is:
[tex]\frac{A}{x+5}+\frac{B}{x-4}[/tex]
What do we mean by rational expression?The ratio of two polynomials is a rational expression.If f is a rational expression, it can be expressed as p/q, where p and q are polynomials.To find the form of the partial fraction:
The rational expression given is: [tex]\frac{x-20}{x^2+x-20}[/tex]
Factor the provided rational expression's denominator:
[tex]\begin{aligned}\frac{x-20}{x^2+x-20} &=\frac{x-20}{x^2+5 x-4 x-20} \\&=\frac{x-20}{x(x+5)-4(x+5)} \\&=\frac{x-20}{(x+5)(x-4)}\end{aligned}[/tex]
Apply the partial fraction decomposition method now:
[tex]\begin{aligned}\frac{x-20}{x^2+x-20} &=\frac{x-20}{(x+5)(x-4)} \\&=\frac{A}{x+5}+\frac{B}{x-4}\end{aligned}[/tex]
Therefore, the form of the partial fraction decomposition of the given function is:
[tex]\frac{A}{x+5}+\frac{B}{x-4}[/tex]
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The correct question is given below:
Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.
[tex]\frac{x-20}{x^2+x-20}[/tex]
does anyone kno the value of x??
Answer:
x=12
Step-by-step explanation:
x÷4=3
x=4x3
x=12
12÷4=3
a student receives test scores of 62, 83, and 91. the student's term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade. what is the student's mean score in the class?
Student's mean score of the class is 80.6.
Mean:
Mean or the average of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Given,
A student receives test scores of 62, 83, and 91. the student's term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade.
Here we need to find the student's mean score in the class.
First, we have to convert the percentage into decimal,
Then
=> 20% = 0.20
=> 25% = 0.25
=> 15% = 0.15
Then we have to find the scores from it,
Test A is 0.20 of the total and scores 62.
Test B is 0.20 of the total and scores 83.
Test C is 0.20 of the total and scores 91.
Project F is 0.25 of the total and scores 88.
Work H is 0.15 of the total and scores 76.
Multiply across:
=> A = (0.2 * 62) = 12.4
=> B = (0.2 * 83) = 16.6
=> C = (0.2 * 91) = 18.2
=> F = (0.25 * 88) = 22
=> H = (0.15 * 76) = 11.4
Now we have to add all these values to find the mean,
=> A + B + C + F + H
=> 12.4 + 16.6 + 18.2 + 22 + 11.4
=> 80.6
Therefore, the mean of that student is 80.6
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415, 430, 445, 460, ...
Find the 101st term.
Answer:
1915
Step-by-step explanation:
nth term = 15n + 400
term to term = 15
n = position
eg:
n=1
1x15=15 + 400 = 415
n=2
2x15=30 + 400 = 430
n=101
101x15= 1515 + 400 = 1915
Answer:
1915
Step-by-step explanation:
formula for the nth term is
an = d times n + first term - d
an = n*d + a1 - d
find the difference between the numbers
it's 15 which is d
first term is a1 which is 415
a101 = 15 times 101 + (415 minus 15)
a101 = 1515 + 400
a101 = 1915
please solve correctly!
in a class of 50 students, 28 participate in mathcounts, 21 participate in science club, and 6 students participate in neither. how many students participate in both mathcounts and science club?
Answer:
5
Step-by-step explanation:
28+21+6=55
Answer:55-50
help please with this math question
Answer:
-47^6
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x-6x²-2
Step one use PEMDAS
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
as a guidance
Everything in the parenthesis is simplified, and there isn't any exponent so we onto step 3 which is multiply.
There is a negative infant of the parenthesis -(2x²+8-3x)
that negative sign actually is a -1
therefore multiply -1 to each number inside the parenthesis
Product: -2x²-8+3x
Last step combine like terms
-4x²-2x²=-6x²
x+3x= 4x (remember there is an invisible 1 infront of that x variable)
6-8=-2
help!!!!!!!! Solve x/5 -3<5
1: Find m
(25x-5)
12X-
A
(15
Answer:
Step-by-step explanation:
(25x-5) 12X- Ax15
Least to greatest 6.3 630% -6.1
Answer:
-6.1, 6.3, 630%
Step-by-step explanation:
-610%, 630%, 630%
Express the relation , below graph .
100 points , will give brainliest
Answer: 6 8
Step-by-step explanation:
the dot will be line 6 and 8
if that makes sence
??
A group of 12 dance competitions contestants are wearing the numbers 1 through 12. What is the probability that the winners will be wearing numbers 2, 4 and 7?
The probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have been given that a group of 12 dance competition contestants is wearing the numbers 1 through 12.
To determine the probability that the winners will be wearing numbers 2, 4 and 7
Here are favorable outcomes that the contestants wearing numbers 2, 4, and 7
So the number of favorable outcomes = 3
And there is a total number of outcomes = 12
Required probability = 3/12
Required probability = 1/4.
Thus, the probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.
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How do I solve this step by step
joyce paid $210 for an item at the store that was 55 percent of the original price. what was the original price?
Answer:
Step-by-step explanation:
Answer : Original price 382
55% of 382 = $210
The coordinate -1 has a weight of 1, the coordinate 4 has a weight of 2, and the coordinate 9 has a weight of 2. Find the
weighted average.
The weight average of the coordinates is 5
How to determine the weight average?The given parameters are:
Coordinate -1 has a weight of 1Coordinate 4 has a weight of 2Coordinate 9 has a weight of 2The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
So, we have:
Weight average = (-1 * 1 + 4 * 2 + 9 * 2)/(1 + 2 + 2)
Evaluate the quotient
Weight average = 5
Hence, the weight average of the coordinates is 5
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I need help on this ASAP
Answer:
assuming you wanted the value of m
[tex]m=\frac{5D}{9}+36[/tex]
__________
Solve[tex]D=\frac{9}{5}\left(m-36\right)\\=\frac{9}{5}\left(m-36\right)=D\\5\cdot \frac{9}{5}\left(m-36\right)=5D\\=9\left(m-36\right)=5D\\\frac{9\left(m-36\right)}{9}=\frac{5D}{9}\\=m-36=\frac{5D}{9}\\m-36+36=\frac{5D}{9}+36\\m=\frac{5D}{9}+36[/tex]
__________
Hope this helps.
State a) whether each graph is a function, b) whether the relation is
continuous, discrete, or neither, and c) the domain and range in the notation
indicated.
For the given graph, we have that:
a) It is not a function.
b) The function is discrete.
c) The domain is {-5,2} and the range is all real values.
When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
For this problem, we can see that it is not a function, as the values of x = -5 and x = 2 are mapped to multiple values of y.
When a function is discrete and when it is continuous?A function is discrete when it is defined for only integer values of x.A function is continuous when it is defined for real values of x.For this problem, the function is defined only for x = -5 and x = 2, which are integer values, hence it is a discrete function.
What are the domain and the range of a function?The domain of a function is the set that contains all possible input values for the function. Hence, in a graph, it is the set that contains the values of x.The range of a function is the set that contains all possible output values for the function. Hence, in a graph, it is the set that contains the values of y.Thus, the domain is {-5,2} and the range is all real values.
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A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation. 3.85 x 104 7.7 x 104 3.85 x 108 7.7 x 108
The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C
Scientific notationFirst week = 3.6 x 10⁴Second week = 4.1 x 10⁴Average number of viewers over the two weeks = (First week + Second week) / 2
= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2
= {3.6 + 4.1 × 10^(4×4) } / 2
= (7.7 × 10^16) / 2
= 3.85 × 10^8
Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.
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how many groups of 1/5 are in 4
Answer:
20
Step-by-step explanation:
To find this, we need to figure out what 1/5 is as a decimal
5/5 = 1, so 5 groups of 1/5 equals 1
Multiply this by 4, 20 groups of 1/5, or 20/5 = 4
Now we confirm this
1/5=0.2
4/0.2=20
So it is true
Hope this helps!^^
What is the point-slope form of the equation for the line with a slope of 6/19 that passes through the point (−1, 7/5)?
The point-slope form of the equation for the line with a slope of [tex]\frac{6}{19}[/tex] that passes through the point[tex](-1,\frac{7}{5} )[/tex] is [tex]6x-19y=-\frac{163}{5}[/tex]
As per the question statement, we are supposed to find the point-slope form of the equation for the line with a slope of [tex]\frac{6}{19}[/tex] that passes through the point[tex](-1,\frac{7}{5} )[/tex] .
Before solving the question, we need to know about the point - slope form of the line i.e., [tex]y-y_{1} =m(x-x_{1} )[/tex]
where m = slope = [tex]\frac{6}{19}[/tex]
[tex]x_{1} =-1[/tex] and [tex]y_{1} = \frac{7}{5}[/tex]
Now substituting values, we get
[tex]y-\frac{7}{5} =\frac{6}{19} (x-[-1])[/tex]
[tex]y-\frac{7}{5} = \frac{6}{19} (x+1)[/tex]
[tex]19y - \frac{133}{5} = 6x+6[/tex]
Rearranging,
[tex]6x-19y+6+\frac{133}{5} =0[/tex]
[tex]6x-19y+\frac{163}{5} =0[/tex]
[tex]6x-19y=-\frac{163}{5}[/tex]
Hence our required equation is [tex]6x-19y=-\frac{163}{5}[/tex]
Point slope form of equation: The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.To learn more about equations of line, click the link given below:
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Suppose that 11 inches of wire costs 44 cents. At the same rate, how many inches of wire can be bought for 32 cents?
Answer:
8 inches
Step-by-step explanation:
So if 11 in. cost 44 cents, then each inch cost 4 cents.
32/4=8
Evaluate expression if r=3, q=1 , and w=-2 .
r + 3q / 4r
Answer:
3+3×1/4×3
3+3/12
3×12+3/12
39/12
Find the area of parallelogram ABCD with vertices A (-2, 6) , B(4, 6) , C(5, -4) , and D(-1, -4) . The area of parallelogram ABCD is square units.
Using the distance between two points to find the side lengths, the area of the parallelogram is of 60.3 square units.
What is the area of a parallelogram?The area of a parallelogram of dimensions l and w is given by the multiplication of these dimensions, that is:
A = lw.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence, for this problem, the side lengths are:
AB: [tex]\sqrt{(4+2)^2+(6-6)^2} = 6[/tex]BC: [tex]\sqrt{(5-4)^2+(-4-6)^2} = 10.05[/tex]CD: [tex]\sqrt{(-1-5)^2+(-4+4)^2} = 6[/tex]DA: [tex]\sqrt{(-2+1)^2+(6+4)^2} = 10.05[/tex]Hence:
l = 6, w = 10.05, and:
A = 6 x 10.05 = 60.3.
The area of the parallelogram is of 60.3 square units.
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Marsha gave the cashier $20.00 to pay for three pairs of socks and received $6.20 in change. If all three socks were equally priced, what was the cost in dollars and cents for each pair of socks?
PLS Help !!!
Answer:
$4.60
Step by Step:
First, you have to subtract $20 from $6.20 which is the change you got back. Once you remove that, you will get $13.80, the actual amount of all three pairs of socks. Now, you have to figure out how much each pair of socks is. So you need to divide 13.80 by 3 which is $4.60. So each pair of socks was $4.60
Hope that helps :D