Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
If ABCD is a parallelogram find the value of unknow size
Step-by-step explanation:
Hey, there!!
As it is a parallelogram, remember basic properties of parallelogram,
Their opposite sides are parallel and equal to eachother. Their opposite angles are equal.They have properties of parallel lines too.Now, lets solve your question.
b = (7×10)°
Therefore, b= 70°.
now, (3x+10°)+b=180° { co- interior angle of a triangle sum is 180°}.
or, 3x= 180°-80°
or, x= 100°/3
Therefore, x= 33° { rounding off we get 33}.
w+ b =180°
w+70°=180° { coointerior angles are equal}.
Therefore, w =110°
Hope it helps....
PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((
If the graph of y=|x| is translated so that the point (1,1) is moved to (4,1) what is the equation of the new graph?
This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:
[tex]y = |x - 3|[/tex]
--------------------------
When a function f(x) is translated a units to the left, we get f(x - a).
--------------------------
In this question:
The original function is [tex]y = |x|[/tex]
Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.
Thus, the new equation is:
[tex]y = g(x) = f(x - 3) = |x - 3|[/tex]
A similar question is given at https://brainly.com/question/23602866
1. Given thatA={1,2,3,4,5} and B={3,5,10,11,12} and such that U= AUB. I) list down the elements of U,A' and A'UB'. ii) how many subsets do set A have?
Answer:
U = {1, 2, 3, 4, 5, 10, 11, 12}A' = {10, 11, 12}A'∪B' = {1, 2, 4, 10, 11, 12}A has 32 subsetsStep-by-step explanation:
i) The union of the two sets is the list of elements that are in either. Duplicates are listed only once.
U = {1, 2, 3, 4, 5, 10, 11, 12}
A' = U - A = {10, 11, 12}
A'∪B' = {10, 11, 12}∪{1, 2, 4} = {1, 2, 4, 10, 11, 12}
__
ii) A has 5 elements, so has 2^5 = 32 subsets, including the empty set and the whole set.
simplify:(x/y+y/x-1)+(x^2/y^2-x/y+1)
Answer:
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Step-by-step explanation:
[tex]( \frac{x}{y} + \frac{y}{x - 1} ) + ( \frac{ {x}^{2} }{ {y}^{2} } - \frac{x}{y + 1} )[/tex]
[tex] \frac{xy \times (x - 1) \times (y + 1) + {y}^{3} \times (y + 1) + {x}^{2} \times (x - 1) \times (y + 1) - {xy}^{2} \times (x - 1)}{ {y}^{2} \times (x - 1) \times (y + 1)} [/tex]
[tex]\frac{( {x}^{2} y - xy) \times (y + 1) + {y}^{4} + {y}^{3} + ( {x}^{3} - {x}^{2} ) \times (y + 1) - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{2} - {y}^{2} ) \times (y + 1)}[/tex]
[tex] \frac{ {x}^{2} {y}^{2} + {x}^{2} y - {xy}^{2} - xy + {y}^{4} + {y}^{3} + {x}^{3} y + {x}^{3} - {x}^{2}y - {x}^{2} - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} ) } [/tex]
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Answer:
2
Step-by-step explanation:
Help please on this question. I’d appreciate it if you answered.
Ok so the letters overwrap all of the alphabets and the other terms are in.
Answer:
see below
Step-by-step explanation:
Consonants and vowels do not overlap
There are no consonants that are vowels and no vowels that are consonants
That means the circles will never touch
inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.
Answer:
General Equation of a Line
[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]
Step-by-step explanation:
Find the slope first and then place the values on the general formula. The final step is to solve for y
Which graph represents 7x+2y< 8
Answer:
Graph C.
Step-by-step explanation:
Hi there!
Well let’s first put,
7x + 2y < 8
We need to single out y.
7x + 2y < 8
-7x to both sides
2y < -7x + 8
Divide everything by 2,
y < -7/2x + 4
Well the shade on the graph should be going down because it is y is less than,
And the y intercept should be at 4 with a dotted line and a slope of -7/2.
So graph C. Is correct.
Hope this helps :)
The graph that represents the inequality 7x + 2y < 8 will be graph C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The inequality is given as,
7x + 2y < 8
Simplify the equation in slope-intercept form, then we have
7x + 2y < 8
2y < 8 - 2x
y < (8 - 2x) / 2
The value of the variable 'y' is less. Then the graph that represents the inequality 7x + 2y < 8 will be graph C.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-
Answer:
The correct choice is Option A. m ≥ -28/5
Step-by-step explanation:
There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. c How many of these sets contain any 4 numbers?
Answer: The number of sets contain any 4 numbers = 210
Step-by-step explanation:
Given: Universal set = {0,1,2,3,4,5,6,7,8,9}.
i.e. Total choices = Numbers in set = 10
By combinations, the number of sets contain any 4 numbers =[tex]^{10}C_4[/tex]
[tex]=\dfrac{10!}{4!6!}\ \ \ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{10\times9\times8\times7\times6!}{4\times3\times2\times1 \times6!}\\\\=210[/tex]
Hence, the number of sets contain any 4 numbers = 210
8 more than a number
Answer:
[tex]\boxed{ 8 + x}[/tex]
Step-by-step explanation:
Hey there!
In most cases "the number" would be x.
So if the statement says 8 "more than a number",
It is saying 8 plus x or 8 + x.
Hope this helps :)
Answer:
x + 8 is the meaning.
Step-by-step explanation:
“more” means addition. Take the number as “x”, so it will be x + 8.
That's the answer.
if the diameter is 20 cm what is the area based on pi
Answer:
[tex]\Large \boxed{\mathrm{100\pi \ cm^2 }}[/tex]
Step-by-step explanation:
[tex]\displaystyle area \ of \ circle \ = \ \pi (\frac{diameter}{2} )^2[/tex]
[tex]\displaystyle A \ = \ \pi ( \frac{20}{2} )^2[/tex]
[tex]\displaystyle A \ = \ \pi ( 10 )^2[/tex]
[tex]\displaystyle A \ = \ 100\pi[/tex]
a cylinder with radius 7 and height 4 is in table,then find its volume?
Answer:
V = ≈615.75
Step-by-step explanation:
hopefully that helped
Help please! its very time sensitive!!
Answer:
678.24 in³
Step-by-step explanation:
V=hπr²
V=8(9)π
V=72(3.14)
V=226.08
Multiply by 3.
226.08*3=678.24
I hope this helps!
pls ❤ and give brainliest pls
round to the nearest place value shown
What shape best describes the cross-section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answer:
Parallelogram
Step-by-step explanation:
Answer:
Parallelogram
Step-by-step explanation
I need help ASAP!!! Please tell me the answer Congruent Triangle Proof
Answer:
see explanation
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
NQ is an angle bisector then ∠ MNQ = ∠ PNQ
∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then
MN = PN
----------------------------------------------
∠ MNQ = ∠ PNQ
MN = PN ( included sides between the 2 angles )
∠ M = ∠ N
Δ MNQ ≅ Δ PNQ by the ASA postulate
Answer:
Step-by-step explanation:
In Δ MNP,
∠NMQ ≅ ∠NPQ
⇒ NM = NP - ------> (I) {Sides opposite to equal angles are equal}
In ΔMNQ & ΔPNQ,
∠MNQ ≅ ∠PNQ {NQ is angle bisector}
NM = NP {from (I)}
∠NMQ ≅ ∠NPQ {Given}
ΔMNQ ≅ ΔPNQ - Angle Side Angle {ASA congruent}
Which section of the function is decreasing? (4 points) A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward Select one: a. A b. B c. C d. D
Answer: D
Step-by-step explanation:
If segment D moves downward it means its function has a negative slope so the line will be decreasing.
Answer:
D
Step-by-step explanation:
Obviously just because the slope is going down hence decreasing. \
Hope this helps! :)
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]
The equation of a line is:
[tex] \displaystyle \large{y - y_1 = m(x - x_1)}[/tex]
Since the line has to be parallel to line y = 4x+1. Hence, m = 4.
[tex] \displaystyle \large{y - y_1 = 4(x - x_1)}[/tex]
Given point is (1,1). Let this be the following:
[tex] \displaystyle \large{(x_1,y_1) = (1,1)}[/tex]
Substitute the point in.
[tex] \displaystyle \large{y - 1 = 4(x - 1)}[/tex]
Convert the equation in a slope-intercept form or function form.
First, distribute 4 in the expression.
[tex] \displaystyle \large{y - 1 = 4x - 4}[/tex]
Add 1 on both sides.
[tex] \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}[/tex]
Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3
Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.
Answer:
Following are the function description to the given question:
Step-by-step explanation:
In the given-question, three functions are used, that can be defined as follows:
In function 1:
This function is also known as the modulus on the absolute value function, for example:
[tex]f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x<0 }} \right.[/tex]
In the given in the above graph, that is [tex]f(x) = -x , \ \ x<0[/tex]
In function 2:
In this function, It is an algebraic function that is [tex]y=x^2[/tex]
It is also a part of the quadratic polynomial function, and its value is [tex]y=x^2 , \ \ \ x> 0[/tex]
In function 3:
In this function, it is the cubic polynomial equation that's value is [tex]y=x^3[/tex]
In the graph its value is:
[tex]y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\[/tex]
A recipe needs two and one sixth cups of walnuts and eight and one eighth cups of peanuts. How many cups of nuts are needed for the recipe in all? please answer!!!
Answer:
10 and seven twenty-fourths (10 7/24)
Step-by-step explanation:
2 1/6 + 8 1/8 =
2 4/24 + 8 3/24 =
10 7/24
Which of the following is the domain of the function based on the input-
output table below?
Answer:
C
Step-by-step explanation:
The domain of the function is the left column of the table, {5,10,15,20,25,30,35}
1 liter of ink can print 5000 pages of text. If you had 100 gallons of ink then how many pages could you print?
Answer:
500,000 pages
Step-by-step explanation:
1 / 5000 = 100 / x
x = 5000(100)
x = 500,000
Answer:
1892705 pages of text.
Step-by-step explanation:
g=Gallon
L=Liters
P=Pages
1L=5000p
1g=3.78541L
100g·3.78541L=378.541L
378.541L·5000=1892705
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answer: 33
First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.
What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units
if you could awnser this as soon as possible that would be great :)
Answer:
c. 4187 cubic units
Step-by-step explanation:
V = 4/3 π r³
= 4/3(3.14)(10)³
= 4186.6666666
Write equivalent expressions.
1. 5(a+a+a)= ________________________________________________________________________
2.6(3x-4)=____________________________________________________________ _______
Answer:
15a
18x -24
Step-by-step explanation:
5(a+a+a)
Combine terms in the parentheses
5(3a)
Multiply
15a
6(3x-4)
Distribute
18x -24
Please answer answer question now
Answer:
Area= 97.9 km²
Step-by-step explanation:
Angle at w = 180-119-34
Angle at w = 27°
Side XV= x
x/sin27= 26/sin119
x= sin27(26/sin119)
x= 0.454(26/0.8746)
x= 13.5 km
Side WX = y
y/sin 34= 26/sin119
y= sin34(26/sin119)
y= 0.559(26/0.8746)
y= 16.6 km
S= (16.6+13.5+26)/2
S= 56.1/2
S=28.05
Area = √(28.05(28.05-26)(28.05-13.5)(28.05-16.6))
Area=√(28.05(2.05)(14.55)(11.45))
Area=√(9579.772744)
Area=97.8763
Area= 97.9 km²
does anyone know how to solve 182 6/8 divided by 3 .
Answer:
Step-by-step explanation:
Convert 182 6/8 into improper fraction
[tex]182\frac{6}{8}=\frac{1462}{8}[/tex]
[tex]\frac{1462}{8}[/tex]÷ 3 =[tex]\frac{1462}{8}*\frac{1}{3}=\frac{1462}{24}[/tex]
= 60 22/24
Multiply. √6x⋅√15xy⋅√20 Please answer as quickly as possible
Answer:
[tex]30x\sqrt{2y}[/tex]
Step-by-step explanation:
First, multiply sqrt.(6x) by sqrt.(15xy)
That equals sqrt.[tex]\sqrt{90x^{2}y } *\sqrt{20}[/tex]
then, rewrite [tex]90x^{2} y[/tex] as (3x)^2 * (10y)
you have [tex]\sqrt{(3x)^{2} *(10y)} *\sqrt{20}[/tex]
Next, pull the terms from out under the radical, to get:
[tex]3x\sqrt{10y} *\sqrt{20}[/tex]
Now rewrite 20 as 2^2 * 5
You get [tex]3x\sqrt{10y} *(2\sqrt{5} )[/tex]
Multiply everything together to get: [tex]6x\sqrt{50y}[/tex]
Now rewrite 50 y as 5^2 * 2y
You end up with [tex]6x\sqrt{5^{2}*(2y)}[/tex]
Then, pull out the terms from under the radical. You get:
[tex]6x(5\sqrt{2y})[/tex]
Finally, multiply the 5 and 6 together to get: [tex]30x\sqrt{2y}[/tex]
Answer:
[tex]\boxed{30\sqrt{2} x^2 y}[/tex]
Step-by-step explanation:
[tex]\sqrt{6} *x*\sqrt{15} * x*y*\sqrt{20}[/tex]
[tex]\sf Multiply[/tex]
[tex]\sqrt{6}\sqrt{15}\sqrt{20}*x*x*y[/tex]
[tex]\sqrt{6*15*20}*x^2 *y[/tex]
[tex]\sqrt{1800}x^2y[/tex]
[tex]\sf Simplify[/tex]
[tex]\sqrt{900} \sqrt{2} x^2y[/tex]
[tex]30\sqrt{2} x^2 y[/tex]
Will give 5 stars, 10 points and maybe brainiest
Answer:
5.25
Step-by-step explanation:
"The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average"
in that case
1.6, 3.2, 3.6, 4.6 , 4.7 , 5.2 , 5.3, 5.4 , 6.1 , 7.8 , 9.0 , 9.5 ,
1st 2nd 3rd 4th 5th 6th 7th . 8th . 9th 10th 11th 12th
as you can seem 5.2 and 5.3 are both in the middle. that means you take the average of those two numbers. so 5.25
Answer:
The median is 5.25
Step-by-step explanation:
Median is found in the middle of numbers.
First you arrange the number from descending to ascending order:
1.6, 3.2, 3.6, 4.6, 4.7, 5.2, 5.3, 5.4, 6.1, 7.8, 9.0, 9.5
There are 12 numbers.
Then find the number that is in the center. In this case, 5.2 and 5.3 are the numbers in the center. You add them together and divide them by 2:
5.2+5.3 = 10.5/2 = 5.25
The median is 5.25