Answer:
the 3rd one is yes the rest are no
Step-by-step explanation:
Answer:
the first and fourth are correct, the second and third are not correct
Step-by-step explanation:
if you plug in the numbers as x and y, then you need to see if they add up to thirteen. So you would multiply the first number in each perenthesis by two and the second by nine, and then if when you add the two of them together, it is equal to the number after the equal sign (13, in this case), you would answer yes, but if it's not, you would answer no.
Does anyone know how to solve this? I don't know how to type it out so Im gonna attach a pic
Answer:
tan =-1
Step-by-step explanation:
tan(θ)=sen(θ)/cos(θ)
so
[tex]tan(angle)=\frac{\frac{-\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} } }\\\\tan(angle)=-1[/tex]
Answer:
Sin (theta)=[tex] - \frac{ \sqrt{2} }{2} [/tex]Tan ( theta)= [tex] - 1[/tex]Step-by-step explanation:
[tex]cos \: \: theta \: = \frac{ \sqrt{2} }{2} = \frac{1}{ \sqrt{2} } = cos \: \frac{\pi}{4 } [/tex]
[tex]cos \: (2\pi \: - \frac{\pi}{4} ) \: \: ( \frac{3\pi}{2} < theta < 2\pi)[/tex]
[tex] = cos \: \frac{7\pi}{4} [/tex]
Theta = 7π / 4
[tex]sin \: theta = sin \: \frac{7\pi}{4} [/tex]
[tex] = sin \: (2\pi \: - \frac{\pi}{4} )[/tex]
[tex] - sin \: \frac{\pi}{4} [/tex]
[tex] = \frac{ - 1}{ \sqrt{2} } [/tex]
[tex] = - \frac{ \sqrt{2} }{2} [/tex]
Finding tan theta:
[tex]tan \: theta = tan \: \frac{7\pi}{4} [/tex]
[tex] =tan \: (2\pi - \frac{\pi}{4} )[/tex]
[tex] = - tan \: \frac{\pi}{4} [/tex]
[tex] = - 1[/tex]
Hope this helps...
Good luck on your assignment...
How much interest is earned if $2500 is invested for 25 years at 8% simple
interest?
*
0500
50000
250
O 5000
Answer: $5,000
Step-by-step explanation: First begin with the interest formula.
Interest = Principal × Rate × Time
In this problem, we're solving for the interest.
The principal is the amount invested or $2,500.
The rate is 8% which we can write as .08.
The time is 25 years.
So we have I = (2,500)(.08)(25).
Now we multiply.
(2,500)(.08) is equal to 200.
Now, multiply 200(25) to get 5,000.
This means that the interest earned is $5,000.
The line segment AB with endpoints A (-3, 6) and B (9, 12) is dilated with a scale
factor 2/3 about the origin. Find the endpoints of the dilated line segment.
O A) (2, 4), (6,8)
B) (4, -2), (6,8)
O C) (-2, 4), (6,8)
OD) (-2, 4), (8,6)
Answer:
C) (-2, 4), (6,8) is the correct answer.
Step-by-step explanation:
Given that line segment AB:
A (-3, 6) and B (9, 12) is dilated with a scale factor 2/3 about the origin.
First of all, let us calculate the distance AB using the distance formula:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here,
[tex]x_2=9\\x_1=-3\\y_2=12\\y_1=6[/tex]
Putting all the values and finding AB:
[tex]AB = \sqrt{(9-(-3))^2+(12-6)^2}\\\Rightarrow AB = \sqrt{(12)^2+(6)^2}\\\Rightarrow AB = \sqrt{144+36}\\\Rightarrow AB = \sqrt{180}\\\Rightarrow AB = 6\sqrt{5}\ units[/tex]
It is given that AB is dilated with a scale factor of [tex]\frac{2}{3}[/tex].
[tex]x_2'=\dfrac{2}{3}\times x_2=\dfrac{2}{3}\times9=6\\x_1'=\dfrac{2}{3}\times x_1=\dfrac{2}{3}\times-3=-2\\y_2'=\dfrac{2}{3}\times y_2=\dfrac{2}{3}\times 12=8\\y_1'=\dfrac{2}{3}\times y_1=\dfrac{2}{3}\times 6=4[/tex]
So, the new coordinates are A'(-2,4) and B'(6,8).
Verifying this by calculating the distance A'B':
[tex]A'B' = \sqrt{(6-(-2))^2+(8-4)^2}\\\Rightarrow A'B' = \sqrt{(8)^2+(4)^2}\\\Rightarrow A'B' = \sqrt{64+16}\\\Rightarrow A'B' = \sqrt{80}\\\Rightarrow A'B' = 4\sqrt{5}\ units = \dfrac{2}{3}\times AB[/tex]
So, option C) (-2, 4), (6,8) is the correct answer.
Help! Just a little more
Answer:
x = 7
y = 8
Step-by-step explanation:
4y-4 = 28
4y = 32
y = 8
10x+65 = 135
10x = 70
x = 7
Answer:
Step-by-step explanation:
(4y-4)=28
4y=32
y=8
(10x+65)=135
10x=70
x=7
a classical music concert is to constist of 3 cello pieces, 3 choral works, and 3 pieces for piano. In how many ways can the program be arranged if a piano piece must come first
Answer:
120,960 ways
Step-by-step explanation:
Assuming that each piece is unique, then the order of each piece matters.
There are 9 pieces in total, there are 3 options for the first piece (3 piano pieces), and the remaining 8 pieces can be permuted. The number of possible arrangements is:
[tex]n=3*\frac{8!}{(8-8)!}\\ n=3*8*7*6*5*4*3*2*1\\n=120,960\ ways[/tex]
The program can be arranged in 120,960 ways.
Solve x+1/3 =x-2/4+1/3
Answer:
No solution.
Step-by-step explanation:
x+1/3 =x-2/4+1/3
Subtract x and 1/3 on both sides.
x-x=-2/4
0= - 1/2
There are no solutions.
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 m2, will he have enough paint to cover the tank with one layer of paint? [take π=3.142] Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 m2, will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Step-by-step explanation:
Height of the cylinder = 1.4 m
diameter of the cylinder = 1.1 m
Tublu has a full 2 litre tin of paint
Assume that the tank has an open top to allow the capturing of rainwater.
Also, Tublu does not need to paint the base of the tanks.
Tublu needs 250 ml to cover 1 m^2 of the tank body
Only the body of the tank is to be painted, so we find the perimeter of the tank body.
from basic circle mensuration, perimeter of the tank body = [tex]\pi d[/tex]
where d is the diameter of the tank
==> 3.142 x 1.1 = 3.456 m
If we imagine that this perimeter of the tank body is spread out, it will form a rectangle with a height of 1.4 m from the base.
The area of this rectangle that will be formed = (perimeter of the cylinder body) x ( height of the cylinder)
==> 3.456 x 1.4 = 4.838 m^2
this area is the area of the tank that needs to be painted.
Now we convert the 250 ml to litre, we'll have
250 ml = 250 x 10^-3 litres = 0.25 litres
Since 250 ml or rather 0.25 litres of paint is needed to cover 1 m^2 area of the tank's body, then, we will need
==> 4.838 x 0.25 = 1.21 litres of paint
Since Tublu has a full 2 litres tin of paint, and he needs 1.21 litres to cover the body of the tank, then we can say that Tublu has more than enough paint to cover the tank surface in one layer coating.
Complete the steps to solve this linear equation: 2x + 9(x – 1) = 8(2x + 2) – 5 1.Apply the distributive property: 2x + 9x– 9 = 16x + 16 – 5 2.Combine like terms on each side: 11x – 9 = 16x + 11 3.Use the subtraction property of equality to isolate the variable term: –9 = 5x + 11 Use the subtraction property of equality to isolate the constant: –20 = 5x 4. Use the division property of equality to solve: = x
Answer:
it should be -4=x.
Answer: -4
Step-by-step explanation:
Find the square of (2a+b)
Answer:
4a^2+4ab+b^2
Step-by-step explanation:
To find the square we multiply the expression with itself
(2a+b)×(2a+b) = 4a^2+4ab+b^2
Given the GCF or LCM, what else do you know about each pair of numbers?
a) Two numbers have a GCF of 2.
b) Two numbers have an LCM of 2.
c) Two numbers have a GCF of 3.
d) Two numbers have an LCM of 10.
Answer:
LCM is half of given product.GCF is half of given product. LCM is one-third of given product.GCF is one-tenth of given product.Step-by-step explanation:
We know that'
GCF × LCM = Product of given number
1. Two numbers have a GCF of 2
= 2 × LCM = Product of given number
LCM = Product of given number / 2
LCM is half of given product.
2. Two numbers have an LCM of 2
= GCF × 2 = Product of given number
GCF = Product of given number / 2
GCF is half of given product.
3. Two numbers have a GCF of 3
= 3 × LCM = Product of given number
LCM = Product of given number / 3
LCM is one-third of given product.
4. Two numbers have an LCM of 10
= GCF × 10 = Product of given number
GCF = Product of given number / 10
GCF is one-tenth of given product.
WILL GIVE BRAINLIEST! Match the equations that are the same
Answer:
1. 1/x = 8
Answer = 8x-1
2. 8x+1=3
Answer ; x=1/4
3. 7= 14/X
Answer ; x = 2
4.1/2x^2 = 2
Answer ;x=2
Step-by-step explanation:
[tex]\frac{1}{x} =8 \\8x = 1\\\\\\8x+1=3\\Collect -like- terms \\8x =3-1\\8x = 2\\Divide -both -sides- by ;8\\\frac{8x}{8} =\frac{2}{8} \\x = 1/4\\\\\\7= \frac{14}{x} \\Cross -multiply\\7x =14\\Divide-both-sides-by-7\\x = 2\\\\\\\frac{1}{2} x^{2} =2\\\frac{x^{2} }{2} =2\\Cross-multiply\\x^{2} =4\\Squre-root -both-sides\\\sqrt{x^2}=\sqrt{4} \\x = 2\\[/tex]
Answer:
1. 1/x=8 ⇒ 8x= 1
2. 8x+1= 3⇒ x=1/4
3. 7= 14/x ⇒ x =2
4. 1/2x^2= 2 ⇒ x=2 this is a repeat of one above
None is matching x=1/2
A college writing seminar increased its size by 50\PP, percent from the first to the second day. If the total number of students in the seminar on the second day was 151515, how many students were in the class on the first day
Answer: There were 10 students in the class on the first day.
Step-by-step explanation:
Let x be the number of students of the first day.
Given: A college writing seminar increased its size by 50 percent from the first to the second day.
i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)
= x +50% of x
= x+0.50x
= (1.50)x
=1.50x
Since, it is given that the total number of students in the seminar on the second day was 15.
i.e. [tex]1.50x=15[/tex]
[tex]\Rightarrow\ x=\dfrac{15}{1.5}\Rightarrow\ x=\dfrac{150}{15}\\\\\Rightarrow\ x=10[/tex]
Hence, there were 10 students in the class on the first day.
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps. This system of equations models the given information for both stamp types. x – y = 34 x + y = 212
Step-by-step explanation:
x - y = 34
x + y = 212
2x = 246
x = 123
123 + y = 212
y = 89
(123, 89)
what is the answer to 4n-2n=4
Answer: n=2
Step-by-step explanation: 4n-2n=4
4(2)-2(2)=
8-4=4
Answer:
n=2
Step-by-step explanation:
Step by Step Solution:
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*n-2*n-(4)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
2n - 4 = 2 • (n - 2)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : n-2 = 0
Add 2 to both sides of the equation :
n = 2
2. According to the Center for Disease Control, about 1 in 80 children in the U.S. have been diagnosed with autism. Suppose you consider a group of 10 children. Find the probability that: a) None have autism; b) 4 have autism; c) at least 2 has autism.
Answer: (a) 88.18%
(b) 0.00000226%
(c) 10.7%
Step-by-step explanation:
[tex]\text{Have Autism}: \dfrac{1}{80}=0.0125\qquad \text{Don't have Autism}: \dfrac{79}{80}=0.9875[/tex]
a) 0 "Have Autism" and 10 "Don't have Autism"
(0.0125)⁰ (0.09875)¹⁰ = 0.8818
= 81.18%
b) 4 "Have Autism" and 6 "Don't have Autism"
(0.0125)⁴ (0.9875)⁶ = 0.0000000226
= 0.00000226%
c) 2 (or more) Have Autism and 8 (or less) Don't Have Autism
It is best to find the opposite and subtract from 100%
0 "Have Autism" and 10 "Don't have Autism" = 0.8818 (see part a)
or
1 "Have Autism" and 9 "Don't have Autism" = (0.0125)¹ (0.9875)⁹
= 0.0112
1 - (0.8818 + 0.0112) = 0.1070
= 10.7%
"There is a group of people. The average height of these people is 67 inches. Is it more likely to pick an individual who is more than 68 inches tall or a sample of four people who average more than 68 inches tall
Answer:
Step-by-step explanation:
The spread of the height of each person in the group depends on the standard deviation. A low standard deviation means that the heights are closer to the mean than that of a high standard deviation. If an individual is picked, the probability of picking one who is more than 68 inches tall is small as this depends on the number of individuals in this category. The probability of picking a sample of four people who average more than 68 inches tall would be higher since average would be taken. Therefore, it is more likely to pick a sample of four people who average more than 68 inches tall
HELP PLEASE ITS CIRCLE STUFF In the circles shown above, AC = (pretend theres a squiggly line above the equals sign) RT. Which shaded region has a larger area? A. The area of the shaded region in A is larger. B. The area of the shaded region in R is larger. C. The areas of the shaded regions are equal. D. Which region is larger cannot be determined without the lengths of the radii of the circles. Please select the best answer from the choices provided A
Answer:
the answer would be D
Step-by-step explanation:
because without any lengths we can not figure out which circle has a lrger shaded area
I NEED HELP PLEASE, THANKS! :)
Answer: C
Step-by-step explanation:
We can automatically eliminate D because since both matrices are 2x2, the product exists.
[tex]\left[\begin{array}{ccc}1&5\\-3&4\end{array}\right] \left[\begin{array}{ccc}2&6\\6&-1\end{array}\right] =\left[\begin{array}{ccc}1*2+5*6&1*6+5*(-1)\\(-3)*2+4*6&(-3)*6+4*(-1)\end{array}\right]=\left[\begin{array}{ccc}32&1\\18&-22\end{array}\right][/tex]
Find the equation for the parabola that has its vertex at the origin and has directrix at x=1/48
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
[tex]x - h = 4\cdot p \cdot (y-k)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
[tex]p[/tex] - Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
[tex]p = x_{D} - x_{V}[/tex]
[tex]p = \frac{1}{48}-0[/tex]
[tex]p = \frac{1}{48}[/tex]
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].
PLEASE HELP MEEEE HURRRY!!! :)
Answer:
Option D
Step-by-step explanation:
We are given the following equations -
[tex]\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}[/tex]
It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -
[tex]\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}[/tex] First, I swapped the first and third rows.
[tex]\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}[/tex] Leading coefficient of row 2 canceled.
[tex]\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}[/tex] The start value of row 3 was canceled.
[tex]\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}[/tex] Matrix rows 2 and 3 were swapped.
[tex]\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}[/tex] Leading coefficient in row 3 was canceled.
[tex]\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}[/tex]
And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -
[tex]\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}[/tex]
The positioning of the zeros indicated that there was no solution!
Hope that helps!
a father walks 36 miles in 12 hours. son covers the same distance on a bicycle. How many miles would the bicycle rider travel in 9 hours.
Answer:
27 miles
Step-by-step explanation:
36/12=3
they travel at 3 miles per hour
9(3)=27
27 miles in 9 hours
Marking Brainliest! 3(x-100)=?
Answer:
3x - 300
Step-by-step explanation:
Expand the brackets or use distribute law.
Answer:
[tex]3x - 300[/tex]solution,
[tex]3(x - 100) \\ = 3 \times x - 3 \times 100 \\ = 3x - 300[/tex]
hope this helps..
) Ten randomly selected people were asked how long thy sept at night. The mean time was 7.1 hours, and the standard deviation was 0.78 hour. Find the 95% confidence interval of the mean time. Assume the variable is normally distributed
Answer:
7.1+/-0.48
= (6.62, 7.58) hours
Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 7.1 hours
Standard deviation r = 0.78 hour
Number of samples n = 10
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
7.1+/-1.96(0.78/√10)
7.1+/-1.96(0.246657657493)
7.1+/-0.483449008686
7.1+/-0.48
= (6.62, 7.58) hours
Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours
The 95% confidence interval of the mean time is (6.62,7.58) and this can be determined by using the formula of the confidence interval.
Given :
Ten randomly selected people were asked how long they slept at night. The mean time was 7.1 hours, and the standard deviation was 0.78 hour.The following steps can be used in order to determine the 95% confidence interval of the mean time:
Step 1 - The formula of the confidence interval can be used in order to determine the 95% confidence interval of the mean time.
Step 2 - The formula of the confidence interval is given below:
[tex]\rm CI = \bar{x}\pm z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]
where the standard deviation is [tex]\sigma[/tex] and the sample size is 'n'.
Step 3 - Now, substitute the values [tex]\rm \bar{x}[/tex], [tex]\sigma[/tex], n and z in the above expression.
[tex]\rm CI = 7.1\pm 1.96\times \dfrac{0.78}{\sqrt{10} }[/tex]
Step 4 - Simplify the above expression.
[tex]\rm CI = 7.1\pm0.48[/tex]
So, the 95% confidence interval of the mean time is (6.62,7.58).
For more information, refer to the link given below:
https://brainly.com/question/2396419
sin155° = _____ sin25° sin(-25)° -sin25°
Answer:
sin 25
Step-by-step explanation:
sin(A − B) = sinA cosB − cosA sinB
sin 155
sin( 180 -25)
A = 180 B = 25
sin180 cos25 − cos180 sin25
Sin 180 = 0
cos 180 = -1
0 - (-1) sin 25
sin 25
what expression represents the area of the triangle
Answer:
The first choice
Step-by-step explanation:
Area of a triangle is 1/2x base x height
the base is 10 and height is 24
26 is the hypotenuse but it is not used in calculating the area
Hope this helps :)
Answer:
1/2 times 10 times 24
Step-by-step explanation:
The hypotenuse is across the right angle so it can’t be included in the area of the triangle which is 26 and 10^2 + 24^2=26^2 by Pathagorean Theron
Leo weighs 10 pounds of dog food at the pet store The scale mistakenly lists the bag at 11.5 pounds. what is the percentage error?
Answer:
15%
Step-by-step explanation:
percentage error equals to
(error / actual length) x 100
error = 1.5
actual length = 10
answer equals 15%
Which best describes thermal energy?
Answer:
It's the third Answer: It is the portion of internal energy that can be transferred from one substance to another.
Hope this helps
Answer:
c
Step-by-step explanation:
Please answer this correctly
Answer:
33
Step-by-step explanation:
The probability you will pick a green or a pink marble is:
3/4
Multiply 3/4 with 44.
3/4 × 44
= 33
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.2 inches, and standard deviation of 3.3 inches.
A) What is the probability that a randomly chosen child has a height of less than 63.75 inches? Answer= ______________ (Round your answer to 3 decimal places.)
B) What is the probability that a randomly chosen child has a height of more than 60 inches? Answer= ______________ (Round your answer to 3 decimal places.)
Answer:
A) 0.989
B) 0.875
Step-by-step explanation:
Let the X denote height measurements of ten year old children.
Thus, X follows the Normal distribution with mean = 56.2 inches and standard deviation = 3.3 inches.
A) we have to find the probability that a randomly chosen child has a height of less than 63.75 inches.
That is;
P(X < 63.75)
using z score formula, we have;
Z = (X - μ)/σ
Where, μ is mean and σ is standard deviation.
Thus;
Z = (63.75 - 56.2)/3.3
Z = 2.288
From z distribution table, we have the value as approximately 0.989
B) Similarly, using z score formula, we have;
Z = (X - μ)/σ
Where, μ is mean and σ is standard deviation.
Thus;
we have to find the probability that a randomly chosen child has a height of more than 60 inches.
Z = (60 - 56.2)/3.3
Z = 1.1515
From z-tables, the value is approximately 0.875
Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets. Let c represent the number of children they take to both shows and let a represent the number of adults they take to both shows. Write a system of inequalities to model this situation.
Answer:
Let the number of children taken to the movies = x
Let the number of adults taken to the movies = y
Lets talk about Matinee tickets first:
so 4$ per child/adult
4x + 4y [tex]\leq[/tex] 80 (since the budget is 80$, we can spend 80$ , hence the less- than or equal-to)
4(x+y)[tex]\leq[/tex] 80
x + y [tex]\leq[/tex] 40
So, for the matinee show, the sum of number of children and adults should be less than or equal to 40
Lets talk about the Evening show:
so 6$/child and 8$/adult
6x + 8y [tex]\leq[/tex] 100
2(3x + 4y) [tex]\leq[/tex] 100
3x + 4y [tex]\leq[/tex] 50
So, for the Evening show, the sum of 3 times the number of children and 4 times the number of adults should not exceed 50