Answer:
10(6y−9−2x) and 5(12y−18−4x)
Answer: 10(60y/10 - 90/10 +-20x/10)
Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the system of equations that can be solved to find the price of an adult ticket, x, and the price of a student ticket, y.
Answer:
the price of adult ticket and student ticket be $10.50 and $8.25 respectively
Step-by-step explanation:
Let us assume the price of adult ticket be x
And, the price of student ticket be y
Now according to the question
2x + 2y = $37.50
x + 3y = $35.25
x = $35.25 - 3y
Put the value of x in the first equation
2($35.25 - 3y) + 2y = $37.50
$70.50 - 6y + 2y = $37.50
-4y = $37.50 - $70.50
-4y = -$33
y = $8.25
Now x = $35.25 - 3($8.25)
= $10.5
Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively
A couple decides to keep having children until they have a girl, at which point they will stop having children. They also agree to having a maximum of three children. The table below shows the probability distribution of X=, equals the number of children such a couple would have.
X=# of children 1 2 3
P(X), .5 .25 .25
Given that \mu_X=1.75μ
X
=1.75mu, start subscript, X, end subscript, equals, 1, point, 75 children, find the standard deviation of the children such a couple would have.
Round your answer to two decimal places.
\sigma_X\approxσ
X
≈sigma, start subscript, X, end subscript, approximately equals
children
Answer:.83
Step-by-step explanation:
Khan academy
From the discrete distribution given, the standard deviation is of 0.83 children.
The distribution is:
[tex]P(X = 1) = 0.5[/tex]
[tex]P(X = 2) = 0.25[/tex]
[tex]P(X = 3) = 0.25[/tex]
The mean is 1.75.The standard deviation is the square root of the sum of the difference squared between each value and the mean, multiplied by it's respective probability.Hence:
[tex]\sqrt{V(X)} = \sqrt{0.5(1 - 1.75)^2 + 0.25(2 - 1.75)^2 + 0.25(3 - 1.75)^2} = 0.83[/tex]
The standard deviation is of 0.83 children.
A similar problem is given at https://brainly.com/question/24188569
Please someone answer this!
Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 2 years?
Answer: 108$
Step-by-step explanation:
What is the total surface area and volume?? PLEASE HELP ME ASAP
Answer:
228
Step-by-step explanation:
ANOTHER QUESTOIn?
I will give brainliest, I just need to see if my answer I wrote down was correct
Answer:
143m
Step-by-step explanation:
Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135
I think the answer is B.....
how to write an essay about citisenship
Essay Definition of Citizenship:
In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.
Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.
The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.
Mikeply o binomial by a trinomial
(x-1) (x²+x+1)
Answer:
See if this is helpful
Answer:
x³ - 1
Step-by-step explanation:
Given
(x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
x³ + x² + x - x² - x - 1 ← collect like terms
= x³ - 1
Simplify and leave in radical form.
Answer:
Step-by-step explanation:
Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
mark me as brill
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!!!!
LMNP is rotated 90' clockwise around the origin.
8
7
6
5
4
M(3, 4) N(5, 4)
3
2
1
LO1)
2
P19,0)
3
4
5
6
7
8
9
What are the coordinates of N'?
O A. N'(4,-5)
O B. N'(-5, -4)
C. N'(-4,5)
D. N'(5,-4)
Answer:
B
Step-by-step explanation:
Answer:
im not sure but it may be B as if i cant see the photo
Step-by-step explanation:
tell me if i got it right or wrong :)
solve (x-3)^2=5
A. x=5+√3
B. x=-3+√5
C. x=3+√5
D. x=8 and x=-2
Answer:
A
Step-by-step explanation:
we should first find the value of x.
Answer:
C
Step-by-step explanation:
(x-a)^2=5
x-3=root of 5
x= root of 5 +3
find the length . IF necessary round to the tenth
Answer:
24
Step-by-step explanation:
Finding the lengths of a Triangle is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
Your triangle is [tex]7^{2}[/tex] + [tex]b^{2}[/tex] = [tex]25^{2}[/tex]
Which is 49 + b = 625
Subtract the difference 625 - 49. then you get the following
b = 576
Finally find the square root of this number and that's your answer: 24
Answer:
by using Pythagoras law
third side =√(25²-7²)=24
PLEASE SOMEONE!!HELP!! I need the answer right now
Answer:
m = -1, b = 5.
Step-by-step explanation:
We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.
Mr. Nakamura cuts 1 2 of a piece of construction paper. He uses 1 5 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/10th
Step-by-step explanation:
You multiply,
1/2 x 1/5 = 1/10
You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.
PLEASE Can someone plz help me
9514 1404 393
Answer:
$11,988
Step-by-step explanation:
A graphing calculator gives you the answer easily.
The minimum unit cost is $11,988.
__
The equation for unit cost can be put into vertex form to find the minimum.
C(x) = 0.7x^2 -210x +27738
C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)
C(x) = 0.7(x -150)^2 -11,988
This is vertex form:
C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.
The vertex of this cost function is (150, 11,988).
The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.
Answer:
the answer is $11,988
Step-by-step explanation:
:)
hat is the value of x rounded to the nearest hundredth?
Question 5 options:
9
3
11
5
Answer:
3 might be wrong
Step-by-step explanation:
2
(✓7) - 4x4=9
✓9
3
w² + 2w – 24/ + 8/
w² + w – 30 w-5
8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price of the book?
Answer:
21
Step-by-step explanation:
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
plea help I will give brainiest
Answer:b
Step-by-step explanation:
l x w x h
What is the area of the given circle use 3.14 for pie diameter =18cm
Answer:
254.47
Step-by-step explanation:
1/4[tex]\pi[/tex]d^2
(-8,-2);m=3/4 in point slope form
Answer:
y + 2 = ³/₄(x + 8)Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = ³/₄
(-8, -2) ⇒ x₀ = -8, y₀ = -2
Therefore:
y - (-2) = ³/₄(x - (-8))
y + 2 = ³/₄(x + 8)
write the equation (3,5) in standard form
Answer:
We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.
Step-by-step explanation:
can you please help me with my question
Find the modes of this data set.
Answer:
1, 2
Step-by-step explanation:
the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.
Sean's party will cost $60 if he invites 12 guests. Which expression does NOT equal the amount that Sean will spend per party guest in dollars?
Options :
A) 12⟌60
B) 60 ÷ 12
C) 60⟌12
Answer:
C) 60⟌12
Step-by-step explanation:
Given that :
Total cost of inviting 12 guests to a party = $60
To obtain the cost per guest :
Total cost of invitation / number of guests
That is ; we divide the cost of inviting the guests by the number of guests invited
$60 / 12 = 12⟌60
The expression 60⟌12 is incorrect as this means 12 / $60
Find the value of x and the measure of the angle labeled 3x
3x
27
A. x= 15; angle measure is 27°,
OB. X = 9; angle measure is 27".
C. x= 9; angle measure is 45°
O.D. x= 15; angle measure is 45°
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
Help. Anyone. ......
There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .
Answer:
34 because 50 percent of 68 is 34
Answer:
There are 34 red marbles in the bin
Step-by-step explanation:
50% is basically 1/2. So half of 68 is 34.
Factorise the exprssions
x^2-ax-bx+ab
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
Leonard plans to build a garage on a square plot of land. If one side of the plot is 6g3h5 feet long, express the area of his plot as a monomial
Answer:
[tex]Area= 36g^6h^{10}[/tex]
Step-by-step explanation:
Given
[tex]Length = 6g^3h^5[/tex]
Required
Determine the area as a monomial
This is calculated as:
[tex]Area = Length * Length[/tex]
[tex]Area= 6g^3h^5*6g^3h^5[/tex]
This can be rewritten as:
[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]
Apply law of indices
[tex]Area= 36*g^6*h^{10}[/tex]
[tex]Area= 36g^6h^{10}[/tex]
