A total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?
The number of adult tickets sold will be 275.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets.
Assume that the number of adult tickets sold are [x] and the student tickets sold are [y]. Then -
x + y = 494
y = x - 56
So, we can write the equation as -
x + x - 56 = 494
2x = 550
x = 275
Then, we can find [y] as -
y = 275 - 56 = 219
y = 219
Therefore, the number of adult tickets sold will be 275.
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5. (08.02 MC) Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)? (1 point)
Answer:
Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!
Step-by-step explanation:
The table slow shows Larry's scores on 6 different math tests. What is Larry's mean score on the 6 tests?
Test: 1 2 3 4 5 6
Score: 88 78 76 86 92 96
Answer:
86
Step-by-step explanation:
5. A parallelogram has vertices D(-1,1) E
(2,4) F(5. 1 )G(2,-2) Which description best describes the figure? A rectangle B trapezoid, C. Square, D. Kite
Answer:
C
Step-by-step explanation:
Find the height and slant height of the cone. Round your answers to the nearest whole number.
Answer:
Height = 4 cm and slant height = 5 cm
Step-by-step explanation:
Given that,
The surface area of the cone, A = 75.4 cm²
Radius, r = 3 cm
The surface area of the cone is given by the formula as follows :
[tex]A=\pi r^2+\pi rl[/tex]
Put all the values,
[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]
Also,
[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]
Hence, the height of the cone is 4 cm and the slant height is 5 cm.
Write the equation of the line with the given slope and y-intercept.
slope - 5
y-intercept - 8
A)
y = 5x+8
B
x - 5y + 8
y- 8x-5
D
Xo Bys
Answer:
y = 5x+8
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
We know the slope is 5 and the y intercept is 8
y = 5x+8
Find the least common multiple (LCM) of 9 and 11. A. 10 B. 18 C. 99 D. 110
Answer:
99
Step-by-step explanation:
since there is no common number which divides both 9 and 11 so just multiply them.
Original price of a book 18.50 discount 45%
Answer:
18.5-45%=10.175 Hope this helped! :)
joe mama is obama
Step-by-step explanation:
Please help very urgent
Answer:
1) A={0,2,4,12,14,20}
2) 6
3) W={1,3,5,9,21,23,39}
4) 7
The supplement of an angle is 12 less than 3 times the angle. Find the angle and its supplement
Answer:
[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]
Step-by-step explanation:
Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:
For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].
[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]
Now solving for the supplement:
[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]
17. The present age of a father and his son is 50yrs and 20yrs respectively. How many years ago
the product of their ages was 451.
Answer:
9 yrs ago
Step-by-step explanation:
(50-x)(20-x) = 451
x^2-70x + 1000 = 451
x^2-70x + 549 = 0
(x-9)(x-61) = 0
x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)
Simplify c^3d^4/c^2d
Answer:
I think the answer is :-
[tex]c {d}^{3} [/tex]
The simplification of c^3d^4/c^2d is cd^3.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
For the given situation,
The expression is c^3d^4/c^2d.
The simplification is as
⇒ [tex]\frac{c^{3}d^{4} }{c^{2}d }[/tex]
⇒ [tex]\frac{(c^{2})( c)(d^{3} )(d)}{c^{2} d}[/tex]
⇒ [tex]cd^{3}[/tex]
Hence we can conclude that the simplification of c^3d^4/c^2d is cd^3.
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Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Answer:
A.) Independent
B.) Independent
C.) Dependent
D.) Independent
E.) Dependent
F.) Independent
Step-by-step explanation:
To find - Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Proof -
We know that,
Independent events are the events that does not depend on the previous events.
Also,
If A and B are two independent events, then
P(A and B) = P(A) * P(B)
Now,
A.)
Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
Here,
Event 1 - Draw a 2 of clubs from a standard deck of 52 cards
Event 2 - keep it, then draw a 2 of diamonds.
These Events are independent
Because
Event 1 is about picking a card that is club
Event 2 is about picking a card that is diamond
And Diamond and spades are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
B.)
Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
Event 1 is about picking a card that is spade
Event 2 is about replacing the card to heart.
These Events are independent
Because
And spade and heart are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
C.)
Roll a number cube. Then roll again if the first roll is a 6.
Event 1 is Roll a number cube.
Event 2 is Roll again if the first roll is 6.
These Events are Dependent
Because
Event 2 is dependent on Event 1.
If Event 1 given no 6 then Event 2 would not happen
If Event 1 given 6 then Event 2 would happen.
So, They are related to each other
So,
Both the Events are Dependent.
D.)
Roll a 2 on a number cube and spin a 3 on a spinner.
Event 1 is Roll a 2 on a number cube
Event 2 is spin a 3 on a spinner
These Events are independent
Because
Cube and spinner are two different objects.
So, they are not related to each other.
So,
Both the Events are Independent.
E.)
Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
These Events are Dependent
Because
P(A and B) = P(A)*P(B)
⇒0.8 = 0.4*0.2
⇒0.8 = 0.08
But they are not equal
So, they are not independent Events.
F.)
Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
These Events are independent
Because
P(A and B) = P(A)*P(B)
⇒0.05 = 0.1*0.5
⇒0.05 = 0.05
They are not equal
So, they are independent Events.
which of the functions below could have created this graph?
A. F(x)=x^8+4x+20^2
B. F(x)=x^9+12x^8+x^7
C. F(x)=-x^6+x^3-x^2
D. F(x)=-x^7+4x^3-2x^2
Answer:
The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.
Step-by-step explanation:
2612 ÷13 = ? A. 202 r11 B. 200 r12 O O D. 199111 C. 200 r13
The top three oil producers in the United States in a certain year were the Gulf of Mexico, Texas, and Alaska. The three regions were responsible for 64% of the United States oil production. The Gulf of Mexico and Texas combined for 47% of oil production. Texas produced 3% more than Alaska. What percent of United States oil production came from these regions?
Answer:
27% of United States oil production came from Gulf of Mexico.
20% of United States oil production came from Texas.
17% of United States oil production came from Alaska.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Gulf of Mexico produced x%.
Texas produced y%.
Alaska produced z%.
The three regions were responsible for 64% of the United States oil production.
This means that:
[tex]x + y + z = 64[/tex]
The Gulf of Mexico and Texas combined for 47% of oil production.
This means that [tex]x + y = 47[/tex].
We use this to find z.
[tex]47 + z = 64[/tex]
[tex]z = 64 - 47 = 17[/tex]
17% of United States oil production came from Alaska.
Texas produced 3% more than Alaska.
Then:
[tex]y = z + 3 = 17 + 3 = 20[/tex]
20% of United States oil production came from Texas.
Gulf of Mexico
[tex]x + y = 47[/tex]
[tex]x = 47 - y = 47 - 20 = 27[/tex]
27% of United States oil production came from Gulf of Mexico.
Which numerical expression represents the following calculation?
Add the quotient of 35 and 5 to the product of 2 and 6.
Answer:
19
Step-by-step explanation:
Given the expression:
Add the quotient of 35 and 5 to the product of 2 and 6.
Quotient of 35 and 5 :
35 / 5 = 7
Product of 2 and 6 :
(2 * 6). = 12
Adding the result of the both calculations :
7 + 12 = 19
Writing the expression together :
35/5 + (2 * 6)
7 + 12
An experiment to improve eyesight with a new drug involves 100 subjects. 50 subjects are randomly chosen to receive the treatment and the other 50 subjects receive a placebo. There was very little difference between the success rate of the treatment group and the placebo group. The success of the placebo group may be due to Group of answer choices
Answer: Hello your question lacks the required options but I will provide a more general answer
answer : Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group
Step-by-step explanation:
The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.
Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group
24/10 into hundredths
Answer:
240/100
Step-by-step explanation:
just multiply 24 by 10 to get hundredths
Provide the remaining principal parts for the verb below.
Present: shake
Present Participle:
Past:
Past Participle:
Which expression does the number line represent?
O 3+ 3/4. O 3/4 + 9/4 O 3 + 9/4 O 9/4 + 3/4
How often are you required to make payments on an auto loan?
Option A Once a week.
Option B Every other week.
Option C Once a month.
Option D Every time you get a paycheck.
Answer:
C is the answer
Step-by-step explanation:
hope this helps
How did u get 4/3. Because I’m confused
6. A vertex is a point where _____ or more edges meet.
Answer:
2
Step-by-step explanation:
Find the measure of angle x in the figure below:
BRAINLIEST PLEASE HELP SHOW WORK AN WILL MAKE BRAINLY
Answer:
See attached photo!
Step-by-step explanation:
Solve for the x variable
Answer:
5x-5.2=7.3
5x=7.3+5.2
5x=12.5
x=12.5÷5
x=2.5
Answer: x = 2.5
Step-by-step explanation:
Try to get x by itself
5x - 5.2 = 7.3
5x = 7.3 + 5.2
5x = 12.5
x = 12.5 / 5
x = 2.5
Help me pleaaaaaseeee
NEED HELP!
A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2
m and diameter 5 m at the top. Water is being pumped into the tank at a rate of 1.2 m3
/min.
Find the rate at which the water level is rising when there is 8π m3
of water
Answer:
The rate of change is
6.2 × [tex]10^{-3}[/tex] [tex]ms^{-1}[/tex] = 0.37 [tex]\frac{m}{min}[/tex]
Answer ^ ^ ^ ^ ^ ^ ^
Explanation: it broke itself
help me pls! PLS PLS PLS I NEED IT
20 points
options are x, x^9, x^4, and x^6
Answer:
x^4
Step-by-step explanation:
The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4
PLEASE PLEASE PLEASE HELP What is the measure of
T
175°
H
57°
F
Answer:
m<G = 59°
Step-by-step explanation:
Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs
m<G = ½(arc TE - arc HF)
m<G = ½(175 - 57)
m<G = ½(118)
m<G = 59°