Answer:
$3 for seinor citizen and $4 for student
Step-by-step explanation:
The price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The school that Mike goes to is selling tickets to a play.
Let x be the price each of senior citizen ticket and y is the price of one student ticket
The equation can be framed as:
11x + 2y = 41
13x + 3y = 51
After solving the linear equation by substitution method:
x = 3
y = 4
Thus, the price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.
Learn more about the linear equation here:
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Find the perimeter of quadrilateral ABCD with vertices A(-2,-2), B(-1,3),
C(5, 3), and D(4, -2).
Answer:
22.2Step-by-step explanation:
Step one
given the coordinates
ABCD with vertices A(-2,-2), B(-1,3), C(5, 3), and D(4, -2)
AB=(-2,-2),(-1,3)
BC=(-1,3), (5, 3)
CD=(5, 3),(4, -2)
DA=(4, -2),(-2,-2)
The distance between points AB=
[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]AB= \sqrt (-1+2)^2+(3+2)^2\\\\AB= \sqrt 1^2+(5)^2\\\\AB= \sqrt26\\\\AB=5.1[/tex]
The distance between points BC=
[tex]BC= \sqrt (5+1)^2+(3-3)^2\\\\BC= \sqrt 6^2+(0)^2\\\\BC= \sqrt36\\\\BC=6[/tex]
The distance between points CD
[tex]CD= \sqrt (4-5)^2+(-2-3)^2\\\\CD= \sqrt -1^2+(-5)^2\\\\CD= \sqrt26\\\\CD=5.1[/tex]
The distance between points DA
[tex]DA= \sqrt (4+2)^2+(-2+2)^2\\\\DA= \sqrt 6^2+(0)^2\\\\DA= \sqrt36\\\\DA=6[/tex]
Hence the perimeter = 5.1+6+5.1+6
= 22.2
The product of two positive numbers is 48. Determine the two numbers if one number is triple the other
Step-by-step explanation:
x+x(3)=48
combine like terms
4x=48
Divide both sides by same term
4x/4=48/4
Simplify
x=12
Answer:
4
Step-by-step explanation:
(x * 3) * x = 48 ----> (4 * 3) * 4 = 48
The * are the multiplication signs. And hope this helps please choose my answer as the best so I can get brainliest pls.
How do you multiply and divide rational expressions?
Step-by-step explanation:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction
hellllllllpppppppppp mmmmee plzzzzzzz
Can Someone Evaluate This
Explanation:
Replace x with 4. Then use PEMDAS to simplify fully.
[tex]y = (14+x) \div 2\\\\y = (14+4) \div 2\\\\y = 18 \div 2\\\\y = 9\\\\[/tex]
When using PEMDAS, we evaluate the stuff in the parenthesis first. Afterward we divide.
After substituting, what is the first step when evaluating 7 when y = 8? Add 4 and 9. O Multiply 8 by 4. Divide 9 by 7. O Divide 4 by 7.
Note: you did not correctly enter the right expression. After a little research, I am able to find the correct expression which is as follows:
4y+9/7 when y = 8
Therefore, I am solving your query based on evaluating the expression
4y+9/7 when y = 8
Answer:
we conclude that after substituting, the first step is to 'Multiply 8 by 4'.
Step-by-step explanation:
Given the expression
4y+9/7
As we have to evaluate the given expression for the y=8
substituting y=8 in the expression
4y+9/7
= 4(8)+9/7
According to PEMDAS rule, we first need to do multiplication
Thus, the first step must have to be multiplying 4 and 8.
= 32 + 9/7
= 233/7
Therefore, we conclude that after substituting, the first step is to 'Multiply 8 by 4'.
x = 10 - y and y = x - 8
Answer:
x = 9 and y = 1
Step-by-step explanation:
Here,
x = 10 - y and y = x - 8 is given
then, name the equation
x = 10 - y ...(1)
y = x - 8 ...(2)
Now, put the value of x in equation (2) we get
y = x - 8
y = (10 - y) - 8
y = 10 - y - 8
y + y = 10 - 8
2y = 2
y = 2÷2
y = 1
Here, we get the value of y = 1
Now, we put the value of y in equation (1) we get
x = 10 - y
x = 10 - (1)
x = 10 - 1
x = 9
VERIFICATION:x = 10 - y
9 = 10 - 1
9 = 9
Hence, LHS = RHS
-TheUnknownScientist
Which calculation can be used to find 6% of 50?
Answer:
3
Step-by-step explanation:
We are required to find 6% of 50
To write it mathematically,
50 * 6%
Now, 6% can be rewritten as 6/100 because it tells us: '6 out of 100' and that is what percentage does
= 50 * [tex]\frac{6}{100}[/tex]
= [tex]\frac{300}{100}[/tex]
= 3
Hence, 6% of 50 is 3
What is the derivative of this?
Dy/dx=x^2y+y^2x
Answer:
y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)
Step-by-step explanation:
So, this is an implicit differentiation problem
x^2y+y^2x
so,
use product rule for both
x^2y'+2xy+y^2+2yy'x
collect all the y's
-x^2y'-2xyy'=y^2+2xy
y'(-x^2-2xy)=y^2+2xy
=y^2+2xy/-x^2-2xy
Please help
Multiple choice
Will appreciate it if u help!
Answer:
Linear
Step-by-step explanation:
It's constant. Each X is going up 1 while each Y is going up 80
Please answer see the image 30 points!
Answer:
37.7Step-by-step explanation:
perimeter of semicircle = 1/2 π d
= 1/2 π (6)
= 9.425 x 4 semicircles
= 37.7
It takes a puppy 2 days to eat 3/4 cup of food. At that rate, in how many days will it take the puppy consume 3 cups of food?
Answer:
4 days
Step-by-step explanation
[tex]\frac{4}{1}[/tex] x [tex]\frac{4}{3}[/tex] = 5 [tex]\frac{1}{3}[/tex]
A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?
-10-8-8
-2
4
6
8
10
X
-4
-6
-S
10
10
Answer:b
Step-by-step explanation:
Which of the following points would be on the graph of the equation y= -4x+6
A- (-4,-10)
B-(-4,22)
C-(1,-10)
D-(1,-2)
Answer:
B: (-4, 22)
Step-by-step explanation:
for these types of problems, you just need to plug in the values
A: y= -4(-4) + 6 = 22 — NOT 10
B: y= -4(-4) + 6 = 22 — CORRECT
C: y= -4(1) + 6 = 2 — NOT 10
D: y= -4(1) + 6 = 2 — NOT -2
Answer:
Step-by-step explanation:
Monthly sales of water heaters are normally distributed with a mean of 21 and a standard deviation of 5. What is the probability of selling 12 water heaters or
less?
a) 3.59%
Ob) 1.8096
O c) 96.41%
O d) 8.45%
Answer:
Option A: 3.59% is the correct answer
Step-by-step explanation:
Z-score is used to calculate the probabilities when mean and standard deviation is given.
Given
Mean = μ = 21
SD = σ = 5
We have to find the probability of selling 12 or less water heaters so our x value is 12
x = 12
The z-score of a value is calculated as:
z-score = (x-μ)/σ
Putting the values
[tex]z-score=\frac{12-21}{5} \\=\frac{-9}{5}\\=-1.8[/tex]
Now z-score table will be used to calculate the probability for z= -1.8
So we will go for the row with -1.8 and column 0, which gives us: 0.03593
As we have to calculate the probability in percentage
[tex]=0.03593*100\\= 3.593\%[/tex]
Hence,
Option A: 3.59% is the correct answer
NEED HELP 45 POINTS PLZ
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
put your answer in comments plz because it will be deleted
The following data were reported by a corporation: Authorized shares 28,000 Issued shares 23,000 Treasury shares 7,500 The number of outstanding shares is:
Answer:
nnjvg Step-by-step explanation:
write the percent as fraction: 8⅓%
Answer:
2700%
Step-by-step explanation:
8 1/3% expressed as a fraction is:
25/3
The given number is in mixed fraction 8 1/3 .
To write it in fraction follow the steps,
Step 1 - Multiply 8 by 3,
8x3=24
Step 2 - Add 24 and 1,
24+1=25
The required fraction became 8 1/3 = 25/3 .
Hopes this helps :)
Find the slope and Y-intercept for each table, and then write an equation.
Answer:
a. Slope = 2; y-intercept = 2
b. Slope = 2; y-intercept = 3
c. Slope = 2; y-intercept = -1
d. Slope = -2; y-intercept = 5
e. Slope = -3; y-intercept = -5
d. Slope = -2; y-intercept = 1
Step-by-step explanation:
I Hope That This Helps! :)
Help me please I will give brainlist to whoever that does explaination
Answer:
1 and 7/30 minutes
Step-by-step explanation:
You know that the 3 commercials add up to 3 minutes of time. And that the first two are 1 1/6 minute and 3/5 minute. To add them you need a common denominator.
1 1/6=7/6. 7/6*5/5=35/30. 3/5*6/6=18/30. 35/30+18/30=53/30. 53/30 simplifies to 1 23/30 (don't need to simplify yet).Now, you need to subract that from 3. To write it over 30, multiply by 30/30. 3/1*30/30=90/30.90/30-53/30=37/30. 37/30 can be written as 1 7/30.If DEF is congruent to JKL, DE = 18, EF =23, DF = 9x-23, JL = 7x-11, and JK = 3y-21, find the values of x and y
Answer:
x = 6, y = 13Step-by-step explanation:
if DEF is congruent to JKL, this means that the sides of JKL are all equal to that of DEF.
Hence we can say;
DE = JK
EF = KL
DF = JL
Given
DE = 18,
EF =23,
DF = 9x-23,
JL = 7x-11
JK = 3y-21,
Required
Values of x and y
Since DE = JK;
18 = 3y-21
18+21 = 3y
39 = 3y
y = 39/3
y = 13
Also, DF = JL
9x-23 = 7x-11
collect like terms
9x - 7x = -11+23
2x = 12
x = 12/2
x = 6
Hence the value of x is 6 and y is 13
Given: [tex]DE=18[/tex],[tex]EF=23,DF=9x-23,JL=7x-11,[/tex] and[tex]JK=3y-21.[/tex]
As [tex]\Delta[/tex][tex]DE[/tex][tex]F[/tex] [tex]\cong[/tex] [tex]\Delta JKL[/tex]
[tex]\Rightarrow DE=JK \ ; EF=KL \ and \ DF=JL[/tex]
[tex]\Rightarrow 18=3y-21 \ ; 23=KL \ and \ 9x-23=7x-11[/tex]
[tex]y=13[/tex] ; [tex]KL=23[/tex] and [tex]x=6[/tex]
Therefore, [tex]x=6[/tex] and [tex]y=13[/tex]
In Tayshia's pantry, there are bags of Cheetos and Doritos. The ratio of Cheetos to total bags of chips in her pantry is 9 to 16.
Which number could be the number of Doritos in Tayshia's pantry?
Which triangle pairs are not necessarily congruent? Select all that apply:
Answer:
The answer is A because the one on the side is smaller then one one on the side
Step-by-step explanation:
The second option triangle pairs are not necessarily congruent.
What are congruent triangle?Congruent triangles have the same corresponding angle measures and side lengths.
Given are five triangles,
In the second pair of the triangles, only angles are equal, which makes them similar not congruent.
Hence, The second option triangle pairs are not necessarily congruent.
For more references on Congruent triangles, click;
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What is the y-intercept of the line 2x+3y = 6?
A.(0,2)
B.(2,0)
C.(0,3)
D.(3,0)
Answer:
Choice A (0,2)
Step-by-step explanation:
Solve for y:
2x + 3y = 6
3y = -2x+6
y=-2/3x+2
Sub x as 0 to find y:
y=-2/3(0)+2
y=2
Answer:
a- (0,2)
Step-by-step explanation:
PLATO
Jon is hanging a picture. He wants to center it horizontally on the wall. The picture is 32 1/2 inches long, and the wall is 120 3/4 inches long. How far from each edge of the wall should he place the picture? Please answer quickly.
Answer:
44.125 inches
Step-by-step explanation:
Given that:
Length of picture = 32 1/2 inches
Length of wall = 120 3/4 inches
Hence, to center picture horizontally ;
Distance from the edge of the wall in which the picture should be placed :
(Length of wall - length of picture) / 2
(120 3/4 - 32 1/2) / 2
(483/4 - 65/2) / 2
Take the L. C. M of 4 and 2 = 4
((483 - 130) / 4) ÷ 2
(353 / 4) ÷ 2
(353 / 4) * (1 / 2)
= 353 / 8
= 44 1/8
= 44 1/8
= 44.125 inches
The space that will be left in each side of the picture from the edge of the wall if Jon is to hang the picture at the center of the wall horizontally is: 44.125 inches.
The wall that Jon wants to hang the picture has been sketched in the diagram attached below (see attachment).
Given the following:
Length of the wall = 120 3/4 inches = 120.75 inchesLength of the picture = 32 1/2 inches = 32.5 inchesThe space in each edge of the wall = xTotal length of space to be left = x + x = 2xTherefore, the following equation can be derived as follows:
[tex]2x + 32.5 = 120.75[/tex]
Solve for x[tex]2x = 120.75 - 32.5 \\\\2x = 88.25\\\\x = \frac{88.25}{2} \\\\\mathbf{x = 44.125 $ inches}[/tex]
Therefore, the space that will be left in each side of the picture from the edge of the wall if Jon is to hang the picture at the center of the wall horizontally is: 44.125 inches.
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intercept from the lines
Answer:
I mean tbh its pretty easy
The y intercept is: (0, 2.5)
The x-intercept is: (3.5,0)
just look at the graph lol but if im
wrong sorry
I need help on this cause I got the last one wrong..
Answer:
"All integers are irrational numbers" False
"No whole numbers are irrational numbers" True
"Some rational numbers are not integers" True
"Some integers are not whole numbers" True
Step-by-step explanation:
I'm 100% sure of this.
PLEASE HELP I NEED TO SHOW WORK WILL GIVE BRAINLIST
Answer:
Jahmya's Lunch cost more
Step-by-step explanation:
Stephen's Lunch
(Garden Salad) 2.29(Veggie Burger) 4.75(Lemonade) 1.292.29 + 1.29 = 3.583.58 + 4.75 = 8.33Total Cost = $8.33Jahmya's Lunch
(Fruit Salad) 2.89(Sandwich) 4.59(Water) 1.392.89 + 4.59 = 7.487.48 + 1.39 = 8.87Total Cost = $8.87PLEASE HELP!! I’L MARK AS BRAINLIEST!!
The flow of water out of a bathtub would best be described as which type of data?
A. Discrete
B. Continuous
C. Linear
Answer:
Continuous
Step-by-step explanation:
A bowl of raffle tickets contains the numbers 1 through 60. What is the probability that a randomly selected ticket will be a number that is not a multiple of 7
Answer:
[tex]Probability = \frac{13}{15}[/tex]
Step-by-step explanation:
Given
Ticket Numbers = 1 to 60
Required
Determine the probability of not selecting multiples of 7
First, we need to list out the multiples of 7 in this range:
[tex]Multiple = 7,14,21,28,35,42,49,56[/tex]
These are 8 in numbers. So, there are 8 multiples
Next, is that we determine the number of non multiples of 7. This s calculated as:
[tex]Non\ Multiples = 60 - 8[/tex]
[tex]Non\ Multiples = 52[/tex]
The required probability is then calculated as:
[tex]Probability = \frac{Non\ Multiples}{Total}[/tex]
[tex]Probability = \frac{52}{60}[/tex]
[tex]Probability = \frac{13}{15}[/tex]
Answer:
Step-by-step explanation:
There are 8 numbers between 24 and 31, inclusive. So the probability of getting a number in that range is 885. Therefore, by the complement rule, the probability of not getting one of these numbers is
[tex]1-(8/85)= 85- 8 /85=77/ 85[/tex]