Answer:
child: 74 adult: 117 student: 37
Step-by-step explanation:
x=2z
x+y+z=191
7.5x+9.75y+8z=1593.5
The number of tickets sold for child is 86.
The number of tickets sold for adults is 62.
The number of tickets sold for child students is 43.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Total tickets sold = $1593.50 _____(1)
Total number of tickets sold = 191 _____(2)
Let the number of tickets sold for child = P _____(3)
Let the number of tickets sold for adults = Q _______(4)
Let the number of tickets sold for students = R ______(5)
Cost of child ticket = $7.50 ______(6)
Cost of adult tickets = $9.75 ______(7)
Cost of student tickets = $8 _______(8)
We can make equations as:
From (2), (3), (4), and (5)
P + Q + R = 191 ____(9)
From (1), (6), (7), and (8)
7.50P + 9.75Q + 8R = 1593.50 _____(10)
We have,
P = 2R putting in (9) and (10)
2R + Q + R = 191
We get,
3R + Q = 191 _____(11)
15R + 9.75Q + 8R = 1593.50
23R + 9.75Q = 1593.50 _____(12)
From (11).
Q = 191 - 3R putting in (12)
23R + 9.75 (191 - 3R) = 1593.50
23R + 1862.25 - 29.25R = 1593.50
-6.25R = -268.75
R = 43 putting in Q = 191 - 3R
We get,
Q = 191 - 3 x 43 = 191 - 129 = 62
Putting R = 43 in P = 2R
We get,
P = 2x43 = 86
We have,
P = 86, Q = 62 and R = 43
Thus,
The number of tickets sold for child is 86.
The number of tickets sold for adults is 62.
The number of tickets sold for child students is 43.
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WILL MARK BRAINLIST WILL GIVE 5 STAR REVIEW
Answer: software, hardware, input device, operating system
Step-by-step explanation:
Answer:
windows-software
mouse-input device
microsoft word-operating system
motherboard-hardware
Step-by-step explanation:
Simplify the following expression:
2y-7x + 4x² + 3y + 7x
A. 4x214x + 5y
B. 4x² - 14x
C. 4x² + 14x + 5y
D. 4x² + 5y
The simplified expression for the expression 2y - 7x + 4x² + 3y + 7x is
D. 5y + 4x²
Option D is the correct answer.
We have,
To simplify the expression 2y - 7x + 4x² + 3y + 7x, we combine like terms:
The like terms are:
2y and 3y
-7x and 7x
Group the terms with "y" together: 2y + 3y = 5y
Group the terms with "x" together: -7x + 7x = 0
Combining (1) and (2) for the expression.
Now the expression becomes:
5y + 4x²
Thus,
The simplified expression for the expression 2y - 7x + 4x² + 3y + 7x is
D. 5y + 4x²
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Solve the system of equations 2x+y=-2 and -9x-3y=18 by combining the equations.
Answer:
2x+y=-2
-9x-3y=18
So what you would do is see which one you would like to get rid of (either x, or y in this situation get rid of y)
multiply y by postive 3
3(2x+y=-2)
6x+3y=-6
-9x-3y=18 (both y's cross out since 3y+-3y is equal to zero)
-----------------
-3x=-24 (divide both sides by -3)
--- ---
-3 -3
x= 8 (neg/neg=positive)
Then figure out the x so use either the first or second equation
so in this case I will use the first equation (plug in the x for 8)
2(8)+y=-2
16+y=-2
-16 -16
---------------
y=-18
Check:
2x+y=-2
2(8)+y(-18)=-2
16+-18=-2
-2=-2 (therfore you know that you are right)
Ansers:
y=-18
x=8
Hope this helps!
9 is subtracted from the product of 9 and a number.
The numerical form of the statement the product of 9 and a number is
9n - 9.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The given statement is 9 is subtracted from the product of 9 and a number.
Let the number be 'n'.
Therefore, The statement 9 is subtracted from the product of 9 and a number can be numerically written as,
9n - 9.
We can also take 9 as a common factor,
9(n - 1).
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can anyone help me find the answer to the attatched question
Answer:
Angle BOC = 120°
Angle DOC = 60°
Angle ODC = 90°
Step-by-step explanation:
Triangle ABC is an equilateral triangle, therefore Angle BAC = 60°.
Now that we know Angle BAC, we can find Angle BOC: 2 × 60 = 120°
Angle DOC = ½ Angle BOC ( Radius drawn from centre to midpoint of chord, bisect the angle)
So Angle DOC = ½ (120) = 60°
Angle = 90° because D is the midpoint of chord BD and OD is a radius.
Commission is based on a percentage of sales. Nia sells cars and earns 4% commission on
each car or truck sold. How much will Nia earn if she sells 4 trucks for $18,434 each?
Answer:
2949.44 Step-by-step explanation: 18,434x4 - four trucks = 73736 73736x.04-2949.44
Need help 5th grade math
Answer:
99
Step-by-step explanation:
9 × 11 = 99
Answer:99 you got it right.
Step-by-step explanation:
its easy for a seventh grader.
22. Pamela is making the legs for a three-legged stool from two pieces of scrap wood. The lengths of the two pieces of wood are 36 inches and 21 inches. Each leg is 16 inches long. a. Pamela cuts one leg from each piece of wood. Write and evaluate two expressions to show how much of each piece of wood is left over. b. Will Pamela have enough wood for a third leg? Explain.
Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.
We are given that:
Pamela wants to make a three legged stool.
She has two pieces of wood: 36 inches and 21 inches.
Length of each leg = 16 inches.
Now, she cut 1 leg from each piece of the wood.
Length of wood pieces left will be given by the expression:
36 inches - 16 inches = 20 inches
and
21 inches - 16 inches = 5 inches.
Yes, Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.
Therefore, Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.
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The photo is of the rotunda in the capitol building in St. Paul, Minnesota. A rotunda is a round buildiug, usually covered by a domc. Use, Postulate 2.1 to help you answer parts a-c.
c. What term describes the shortest distance from the center of a circle to a point on the circle?
The shortest distance from the center of a circle to a point on the circle is the radius.
What is a circle?The circular line is drawn equidistant from the center point of a circle, which is a two-dimensional geometry object on a plane.
Any line segment connecting a circle's center to its perimeter is considered a circle's or sphere's radius, and in more recent usage, their length is also considered.
The radius of a circle is the shortest path between any two points on the circle.
Therefore, the shortest distance from the center of a circle to a point on the circle is the radius.
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What is the best estimate for the area of the triangle, in square units?
y
OA) 5.25 square units
O B) 10.5 square units
OC) 21 square units
OD) 42 square units
The best estimation for the area of the triangle is option (C) 21 square units
The base of the triangles = 6 units
The height of the triangle = 7 units
We know,
The area is the total space taken by the surface of an object.
Area of the triangle is the half the product of its base length and height.
The area of the triangle = (1/2)×b×h
Where b is the base of the triangle
h is the height of the triangle
Substitute the values in the equation
The area of the triangle = (1/2)× 6× 7
= (1/2)× 42
= 21 square units
Hence, the best estimation for the area of the triangle is option (C) 21 square units
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[tex]\frac{3}{5}x+22=28
The value of x is 1/ 5
What are algebraic expressions?
Algebraic expressions are expressions that comprise of variables, factors, coefficients, terms and constants.
They are also made up of mathematical operations such as addition, division, multiplication, subtraction, etc
Given the expression:
3/ 5x + 22 = 28
collect like terms
3/ 5x = 28 - 22
3/ 5x = 6
cross multiply
5x × 6 = 3
30x = 6
Makr 'x' the subject
x = 6/ 30
x = 1/ 5
Thus, the value of x is 1/ 5
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I really need some help
Answer:
a
Step-by-step explanation:
The commutative property is related to both addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result.
Since the question specifically asked for multiplication, the answer is a.
how do i write four more than p
Answer:
p+4
Step-by-step explanation:
estimate the square root to the nearest tenth the square root of 11, and the square root of 62
The square root of 11 and 62 to the nearest tenth is 7.9 and 3.3 .
Given, the numbers are 11 and 62.
we are asked to determine the square root of the given numbers to the nearest tenth.
a. 11
Since the given number is not an even number, hence we can't get a whole number as the square root of 11.
we need to find the number whose square root is nearest to the number 11.
3 × 3= 9
9 is nearer to 11 whereas 4 × 4 = 16 gets greater than 11.
then dividing the number 11 by 3.we get:
√11 = 3.31662479 × 3.316622479
√11 = 3.31662479
√11 = 3.4 (rounding off to the nearest tenth)
b. 62
since we can't get the square root as a whole number so ,
we need to find the number whose square root is nearest to the number 62.
8 × 8 = 64
which gets greater than 62, hence we take 7 × 7 = 49
therefore, √62 = 7.874007874 × 7.874007874
√62 = 7.874007874
√62 = 7.9 (rounding off to the nearest tenth)
hence we get the square root of 11 and 62 as 3.3 and 7.9 respectively.
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the answers for 22, 24,and 25?
Answer:
22) -3jk+12k^2---------24)-3xy^4-7xy^3
Step-by-step explanation:
To three decimal places, what is the volume of a cube (cm3) with an edge length of 0.843 cm?
The volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.
According to the given question.
Length of the edge of the cube = 0.843 cm.
As we know that, a cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.
And the volume of cube is calcualted by the formula
V = a^3
Where,
V is the volume of cube
And, a is the length of the edge of cube
Therefore,
The volume of the cube whose edge length is 0.843 cm
= (0.843cm)^3
= 0.599 cubic centimeters
Hence, the volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.
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Find a vector function that represents the curve of intersection of the two surfaces. the paraboloid z = 8x 2 y 2 and the parabolic cylinder y = 3x 2 r(t) = t i j
The vector function, r(t) that represents the curve of intersection of the two surfaces, the paraboloid and the parabolic cylinder is given by < t, 3t2, 8t2 + 9t4 >. It is attained by applying the concept of vectors to the assigned problem.
What is a vector?
A vector is any quantity that contains both magnitudes as well as direction. Geometrically, one can imagine a vector as a directed line segment, whose length denotes the magnitude of the vector and the direction is shown by the arrow, which is generally taken from its tail to its head. Using an arrow with a line specifies that it is not only scalar but also has some direction.
Calculation of the vector function representing the curve of intersection of the paraboloid and parabolic cylinder
A vector function r(t) is represented as: r(t) = < x, y, z >
Given: y = 3x2 – 1
z = 8x2 + y2 – 2
Let,
x = t
Using x = t in equations 1 and 2
y = 3t2
z = 8t2 + y2
Putting the value of y in z, we get,
z = 8t2 + (3t2)2
z = 8t2 + 9t4
Substitute these values of x, y, and z in vector representation to obtain the result, i.e. < t, 3t2, 8t2 + 9t4 >
Hence, the value of vector function r(t) is: < t, 3t2, 8t2 + 9t4 >
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Ratios Equivalent to 15:6 (not 6:15)
Pls tell me what ratios they are
Answer:
30/32
Step-by-step explanation:
15×2=30
16×2=32
30/32
Answer:
5:2 , 30:12 , 60:24 , etc.
Step-by-step explanation:
To identify ratios equivalent to 15:6, all you need to do is multiply or divide both numbers in the ratio by the same amount to find an equivalent ratio.
So, for example:
1:2 --> 1*2 : 2*2 = 2:4 Both one half, so equal.
Now for 15:6...
Let's divide by the least common denominator ( 3 )
15 / 3 and 6 / 3 = 5 and 2
So 15:6 = 5:2
And we can also multiply the ratio by any constant as well...
For example 15 * 2 and 6 * 2
So 30:12 = 15:6
Hope this helped!
Info
On the coordinate plane, what are the coordinates of the
point that is halfway between (4,-1) and (3,-2)?
0 (7,-3)
○ (1, 1)
o (3.5, 1.5)
○ (3.5, -1.5)
The coordinates of the mid point of the given points (4,-1) and (3,-2) is found as (x,y) = (3.5, -1.5).
What exactly is the Mid - Point Theorem?The midpoint of a line segment is referred to by the midpoint theorem. It describes the coordinate points of the line segment's midpoint and can be found by averaging the coordinates of a given endpoints.It also states that a line with endpoint coordinates - [x(1), y(1)] and [x(2), y(2)] has its mid - point just at coordinate.In response to the question, we have -
A (4,-1)and B(3,-2) are our two coordinate points.
We must determine the midpoint of the this line AB.
x(m) = [x(1) + x(2)]/2
y(m) = [y(1) + y(2)]/2
A is the first coordinate point (4,-1).
Point B is the second coordinate (3,-2).
Put the given points;
x(m) = [4 + 3)]/2
x(m) = 7/2 = 3.5
Now, for y;
y(m) = [y(1) + y(2)]/2
y(m) = [-1 -2]/2
y(m) = -3/2 = -1.5
Therefore, we get - using the Mid - Point formula (x,y) = (3.5, -1.5).
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HELPPP 15 pointssssss mathhh
Write 6,750,000,000 in scientific notation.
O 6.75 × 10⁹
O 675 x 107
675 x 10-7
06.75 × 10-9 question 13
The proper format for scientific notation is a x 10^b , 6.75 × 10⁹ is the scientific notation for 6,750,000,000.
What is Scientific Notation?The proper format for scientific notation is a x 10^b where a is a number or decimal number.
Given number is 6,750,000,000, we need to write in scientific notation.
To write the number to scientific notation, we need to follow few rules, Move the decimal so there is one non-zero digit to the left of the decimal point.
The number of decimal places you move will be the exponent on the . If the decimal is being moved to the right, the exponent will be negative.
If the decimal is being moved to the left, the exponent will be positive.
6,750,000,000 = 6.75 × 10⁹
Therefore 6.75 × 10⁹ is scientific notation for 6,750,000,000.
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Select the correct answer. ethel is arranging rides so that 27 members of her club can go bowling. some people can ride in a van that belongs to the center where they meet. the rest must ride in cars. if 12 can go in the van, and 5 can go in each car, how many cars will they need? a. 3 cars b. 5 cars c. 7 cars d. 9 cars
There are 3 cars to be needed for the remaining 15 persons in Ethel club.
Unitary method:
Unitary method used to find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given,
27 people will travel for bowling.
As there is only one van.
and in that one van only 12 people can go.
so remaining people will go by car
no. of people that they will go by car
=> 27 - 12 = 15
in one car 5 people can go
no. of cars needed to take people=no. of people/no. of cars
=> 15 / 5 = 3
Therefore 3 cars will be needed.
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(URGENT)Trinity walked to town at a rate of 4 mph. She rode the bus back at 40 mph. The town is 2 miles away. How long did it take Trinity to travel to town and back?
Based on the fact that town is 2 miles away, the time it took Trinity to travel to town and back was 33 minutes
How long did Trinity travel?The time taken can be found as:
= Distance / Speed
Trinity's trip to town took:
= 2 / 4
= 0.5 hours
Trinity's trip back took:
= 2 / 40
= 0.05 hours
The total time it took Trinity to travel to and from town was:
= (0.5 + 0.05) x 60 minutes per hour
= 0.55 hours x 60
= 33 minutes
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Find the distance between the two points in simplest radical form. (0, -3) (8,2)
Answer:
Step-by-step explanation:
Zahra Buys eggs and oranges at the stores she pays a total of $30.01 she pays a total of $5.30 for the eggs she buys seven bags of oranges that each cost the same amount how much does each bag of oranges cost
Answer:
$3.53
Step-by-step explanation:
$30.01- the eggs $5.30= $24.71
24.71÷7= 3.53
Given the following informat
1
3. slope = y-intercept = -1
TT
The equation of straight line in the cartesian plane with slope and y-intercept of -1 is y+x+1=0
A straight line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.
The x-axis, a horizontal line, and the y-axis, a vertical line, are two perpendicular lines that split the number plane, also known as the Cartesian plane, into four quadrants. The origin is the location where these axes converge.The general equation of a line in the cartesian plane is given by the equation y = mx + c , where m is the slope and c is the y-intercept.The slope of a straight line is calculated by taking tan θ where θ is the angle made by the line with positive direction of x- axis.Given the slope = y-intercept= -1
Therefore m = -1 and c = -1 .
Substituting the values of m and c in the general equation of a straight line we get :
y = -x - 1
or, y + x+ 1 = 0
Therefore the equation of the straight line is y + x+ 1 = 0.
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An analysis of variance produces ssbetween = 30, sswithin = 60, and an f-ratio with df = 2, 15. for this analysis, what is the f-ratio?
For this analysis, 4/25 is the f-ratio.
What is f- ratio?
In the psychosocial, behavioral, and health sciences, the F-ratio is frequently employed in study on quality of life. In order to compare two or more groups, it often refers to a statistic that is produced by dividing two sample variances that are supposed to come from normally distributed populations.SS between = 30
SS within = 60
Mean square of regression = 30/2 = 15
Mean square of error = 60/15 = 4
So f ratio = 15/4 = 3.75
So it's answer is D.
Solution(15)
Df between = Df total - Df within = 29-27 = 2
So it's answer is b. I.e. 2
Solution(16)
If Df = 18 and there are two independent sample than total sample size = 18+2 = 20
So it's answer is A
Solution(17)
N1=10
N2 = 15
So DF = 10+15-2 = 23
So it's answer is C. I.e. 23
Solution(18)
D = (M1-M2)/spooled = (35-31)/25 = 4/25
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Find the distance between -2 3/5 and -1 on a number line. Write your answer as a mixed number.
The distance between -2 3/5 and -1 on a number line is -1 3/5.
What is the distance?A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is -2 3/5.
In order to determine the distance, -1 would be subtracted from -2 3/5
[tex]-2\frac{3}{5} - (-1)[/tex]
[tex]-2\frac{3}{5} + 1[/tex]
[tex]-\frac{13}{5} + \frac{5}{5}[/tex]
[tex]\frac{5 - 13}{5}[/tex]
-8/5 = -1 3/5
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-2(X - 5) - 3(4x +4)
I know the evaluation is -14x - 2 but I need to explain why this is correct.
In the expression:
[tex] - 2(x - 5) - 3(4x + 4)[/tex]
Apply the rule of BODMAS which states that bracket comes first, and we know that when a number is outside a bracket, it means the number will multiply the number(s) in the bracket. Infact, bracket means multiplication. So, -2 will multiply the values in the bracket beside it, and -3 will multiply the values in the bracket beside it. When that is done, combine everything together (always observe the mathematical signs)
[tex] - 2x + 10 - 12x - 12[/tex]
Now, collect like terms.
[tex] - 2x - 12x + 10 - 12[/tex]
Therefore, final answer is:
[tex] - 14x - 2[/tex]
I hope this helpsover which interval is the graph of f(x)=-(x+8)^2-1 decreasing
The interval at which the function f ( x ) = - ( x + 8 )² - 1 is decreasing is [-8, ∞).
We are given the function:
f ( x ) = - ( x + 8 )² - 1
We will first simplify the expression:
f ( x ) = - x² - 64 - 16 x - 1
f ( x ) = - x² - 16 x - 65
Now, we will plot the function on a graph.
Now, we can see that, the function is decreasing at [-8, ∞) from the graph of the function.
Therefore, the interval at which the function f ( x ) = - ( x + 8 )² - 1 is decreasing is [-8, ∞).
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