Total 241 adult ticket and 220 student ticket are sold.
What is system of equation ?system of equations, orsimultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.
a + s = 461 or s = 461 -a
Value of student tickets sold = s × 3 = 3 × (461-a)
Value of adult ticket sold = 4 a
Summed they total 1624
System of equations :
s = 461-a3 (461-a) + 4a
= 16241383 -3a +4a
= 1624a
= 241
then s = 461 -a = 220 ticket
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The reciprocal of x^3
Answer:
x^-3
Step-by-step explanation:
The reciprocal of x^3 is x to the power of negative 3 (aka [tex]\frac{1}{x^3}[/tex]).
Scars for Question 2 of 5 points)
2. The line segment graphed on the coordinate plane represents a roof with several triangular supports. Each support is triangular, with a horizontal board that starts on the edge of the roof and connects with a vertical board that ends on the
+
Answer
(a) Does each support have the same starting coordinates? Explain
(b) Does each support have the same ending coordinates? Explain
(c) Does each support have the same change in x-values? E
2 Explain
(d) Does each support have the same change in y-values? Explain
(e) Does each support have the same ratio of change in y-values over change in x-values? Explain
Aaden has z quarters and y dimes. He has no more than 22 coins worth no less than $3.60 combined. Solve this system of inequalities graphically and determine one possible solution. Give each inequality in slope-intercept form.
By using linear inequation it can be calculated that-
One possible solution is Aiden has 8 quarters and 14 dimes
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤
A one degree inequation is known as linear inequation
Aaden has z quarters and y dimes.
He has no more than 22 coins
z + y ≤ 22
z ≤ -y + 22 .... (1)
He has no less than $3.60 combined.
0.25z + 0.1y ≥ 3.60
5z + 2y ≥ 45
5z ≥ -2y + 45
z ≥ -0.4y + 9 .... (2)
This system of linear inequation is solved graphically
From the graph it is clear that
one solution is z = 8 and y = 14
One possible solution is Aiden has 8 quarters and 14 dimes.
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3. The graph of a function f consists of a semicircle
and two line segments as shown above. Let
g( x) =∫1
x
f (t)dt .
(a) Find g(1) , g(3) , and g(−1) .
Answer:
so the(g) semicircle should go up top with
The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the function?
Responses
A (−3, −8)(−3, −8)
B (−6, 3)(−6, 3)
C (−5, −2)(−5, −2)
D (9, 8)
The point that preserves the function is option A(-3,-8).
What do you mean by function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
According to the given question,
We have four option for the answer.
Note: if f is a function then each number of the domain has an unique image.
Since (regarding the table) the image of 9 is 6 then the answer D is wrong
The same apply on answers B and C .
Therefore, the right answer is A(-3,-8).
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There are 11 paper clips in the drawer. 3 are gold. 8 are silver.
What fraction of the paper clips are gold?
Answer: 3/8
Step-by-step explanation:
The total number is 11 paper clips
We know that three are gold
And the question ask what fraction of the paper clips are gold
So take 3 divided by the total
So the fraction is 3/8
solve the matrix equations
with full explanations and workings please
Answer:
Step-by-step explanation:
x<60
Find the area of the triangle. All help is appreciated
The area of the triangle with two sides of 8 and 11 units and an angle of 75°
is 85 units².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in a ΔABC area of the triangle is (a×b×sinC).
The given triangle has two sides 8 units and 11 units and the angle to the unknown side is 75°.
∴ The area of the triangle is (8×11×sin75°) units².
= 88sin75° units².
= 85 units².
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Solve for x ?????????????????
Answer:
x = 7
Step-by-step explanation:
Compare the ratios of the longer side length to the shorter side length:
8 : 10 = (3x - 9) : 15
8*(3/2) : 15 = (3x - 9) : 15
Then, form an equation.
8 * (3/2) = 3x - 9
12 = 3x - 9
21 = 3x
7 = x
Jill
had 3 full pan of brownie. Each pan made 10 brownie. He gave 3/8 of the brownie to her friend how many brownie did jill give away
Using Mathematical operations we can conclude that Jill gave 11 brownies to her friend.
What are mathematical operations?A mathematical function known as an "operation" in mathematics is one that converts zero or more input values into a precisely specified output value.
The quantity of operands has an impact on the operation's complexity.
Most people concur that the four basic mathematical operations are addition, subtraction, multiplication, and division.
So, we know that Jill has 3 full pans of brownies.
Each pan contains 110 brownies.
So total brownies Jill has:
10*3 = 30 brownies
Now, she gave 3/8 brownies to her friend.
So, the number of brownies Jill gave away are:
30 * 3/8
15 * 3/4
45/4
11.25
Rounding off: 11
Therefore, using Mathematical operations we can conclude that Jill gave 11 brownies to her friend.
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What is the value of x? My
Answer:
x = 71
Step-by-step explanation:
Since the legs of the triangle are congruent, both 21 , then the triangle is isosceles with base angles congruent.
Then
x = (180 - 38) ÷ 2 = 142 ÷ 2 = 71
23. Lauren and Kate drove 725 miles.
If Lauren drove 298 of those miles,
how many miles did Kate drive?
Answer:
427 miles
Step-by-step explanation:
725-298=427 miles
Answer: Kate drove 427 miles.
Explanation: 725 - 298 = 427.
Matt is filling containers of rice. Each container holds \dfrac{1}{4}
4
1
start fraction, 1, divided by, 4, end fraction of a kilogram of rice.
If Matt has 777 kilograms of rice, how many containers can he fill?
The number of containers that he can fill is 3108.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The formula for the division of fractions is:
= a/b ÷ c/d
= a x d / b x c
Amount of rice in a container = 1/4 kg
The total amount of rice = 777 kg.
The number of containers.
= 777 ÷ (1/4)
= 777/(1/4)
= 777 x 4
= 3108
Thus,
The number of containers is 3108.
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The product of two consecutive odd intergers is 143. What are the solutions
Answer:
11 and 13
(11x13)
If unit of a certain commodity are produced, then the marginal cot i dc/da = 9x^24x15x ^1/4 10. Suppoe the total cot of producing the 1t unit i 100. Calculate the total cot of producing the firt 16 unit. (calculu 1)
Therefore, the total cost of producing the first 16 units of a certain commodity is 28940.
What are linear equations?The mathematical formula for a straight line on a graph is called a linear equation. Y = mx + b, where m is the line's slope b seems to be the y-intercept, or the place where the line crosses the y-axis, is how it is expressed. Because they simply have one variable and no exponents, linear equations are comparatively easy to solve. They may be used to simulate a variety of real-world events, including population increase and the supply-demand connection in the economy. Generally speaking, linear equations are a fundamental algebraic tool produced and are used to represent and analyse a wide variety of data types.
How to solve?
dc/da = [tex]9x^{2} + 4x + 15x^(1/4) +10[/tex]
Differentiate with respect to x
dc/da = [tex]18x + 4 + 15/4 x^(-3/4)[/tex]
input the value 100 for the value of x,
dc/da = 1800 + 4.75
dc/da = 1808.75
To produce the first 16 units,
1808.75 × 16 = 28940
The cost of producing the first 16 units is 28940
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Aaron had $22 to spend on 4 beakers for his science class. After buying them, Aaron had $2 left. How much did each of the beakers cost?
Answer:
6.50
Step-by-step explanation:
what is the volocity of a plane that traveled 3,000 miles from new york to california in 4.5 hours? socratic.org
What is speed?
Velocity is defined as the speed of movement of an object along its direction. Velocity tells you how fast an object is moving and the direction it's moving. Similar to velocity, but also adds direction. Therefore, velocity is directed velocity, although velocity has no direction.
how to calculate speed
Find the initial velocity of an object by dividing the time it took the object to travel the specified distance by the total distance. In the formula V = d/t, V is velocity, d is distance, and t is time.
According to the question given data,
Distance=3000miles
Time=4.5hours
Put the value of formula
V=3000/4.5
V=666.66m/s
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2(a+c) =5(a-b) make c the subject
The population of the city of Peachwood is currently 12,000 and
increases every year at a rate of 5%. The function that describes the
model is g(f) = 12000 1.05* Which of the following choices would
be the number of people in the city after 1 year?
A.$12,000
B. $12,600
C.$14,100
D.None of the choices are correct.
Answer:
D.None of the above are correcr
Step-by-step explanation:
if the population of peachwood increases by 5% every year then after 1 year 5 percent of 12,000 would be added to 12,000 and 5 percent of 12,000 is 600 so the answer would be 12,600
Option B is the correct Answer and $12600 people are in the city after 1 year.
Given the population of peachwood=12000
The rate that increases per year is given as 5%
We are given the function that g(f) = 12000 * 1.05x is considered as equation(1)
Here x in f(x) defines the number of years that passed in the city of Peachwood
so x value is considered as 1
The f(x) is the total population of Peachwood these are two key elements in this function
Now substitute the x value in equation (1)
Therefore after 1 year, the equation would be
f(x)=12000*1.05x
f(1)=12000*1.05(1)
g(f)=$126000
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1. Find the area of the given shape:
65m
6m
Answer:
195
Step-by-step explanation:
Formula: A=1/2*b*h
6*65=390
390/2=195
So I multiplied those numbers together and decided to divide them by two, just like the formula wanted.
I hope this helps!!!
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there?
A.
52
B.
49
C.
51
D.
47
Answer:
B. 49
Step-by-step explanation:
21/3 = 7 new houses
7*7 = 49 old houses
Answer:
Answer to the question is B: 49
You need enough carpet to cover the floor in a triangular room. How much carpet will you need? if necessary, round to the nearest tenth. A right triangle with side 15 feet and hypotenuse 20 feet. A. 175 square ft b. 13. 2 square ft c. 99 square ft d. 48. 2 square ft.
13.2 square ft area of carpet will you need .
What is a right-angle triangle, exactly?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The sum of the other two angles is 90 degrees.
The triangle's base and perpendicular sides both include the right angle. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
the area of rigth triangle
20² = 15² + x
400 = 225 + x²
x² = 400 - 225
x = 13.2
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Find the area of this below, giving your answer to 1 decimal place.
The total surface area of the shape is 198.6cm²
What is mensuration?Mensuration is the branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc.
From the given figure the two semi circles left and right can be resolved as a whole (a complete circle) with diameter d 10cm
Radius r = 10/2= 5cm
Area of circle A= πr²A= 3.142*5²
A= 3.142*25
A= 78.55
A= 78.6cm²
The remaining part of the shape is a rectangle with length (22-10)= 12cm
I.e the 10 is as a result of the radius of the two semi circles = r+r= 5+5=10
The rectangle has a width of 10cm
Area of rectangle A=12*10= 120cm²
Hence the total surface area of the shape
Total area = 120+78.6 = 198.6cm²
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What is the equation of a line that is parallel to 3x + 4y = 15 and passes through the point (8, - 2)?
Enter your answer in slope-intercept form (y=mx+b) in the box.
Step-by-step explanation:
in the slope- intercept form
y = mx + b
m is the slope, b is the y-intercept (the y-value when x = 0).
a parallel line must have the same slope, but a different y- intercept.
as you can see, the slope is always the factor of x, when we have a "y = ..." form.
so, coming from
3x + 4y = 15
4y = -3x + 15
y = (-3/4)x + 15/4
the slope is therefore -3/4.
b we get by using the given point coordinates in the equation :
-2 = (-3/4)×8 + b = -24/4 + b
b = -2 + 24/4 = -2 + 6 = 4
so, the full equation is
y = (-3/4)x + 4
4-5: MathXL for School: Practice & Problem Solving
4.5.PS-15
Question Help
Reasoning Kareem cannot decide which of two washing machines to buy. The selling price of each is $520. The first is
marked down by 40%. The second is marked down by 10% with an additional 30% off. Find the sale price of each
washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the
second if the machines are the same except for the selling price.
The sale price of the first washing machine is $
(Round to the nearest dollar as needed.)
Enter your answer in the answer box and then click Check Answer.
1
part
remaining
GITTE
Due 12/05/2
Clear All
Check Answer
The sale price of the 2nd Washing machine is more expensive and profitable than the first Washing machine, So Kareem should choose the 2nd Washing machine to get profit.
Selling price and Marked price:The price a buyer pays for a good or service is known as the selling price. When the selling price is greater than the cost price, then we will get a Profit. Marked price, is the amount that a seller actually receives from a customer after negotiating a price or striking a deal.
Here we have
The selling price of washing machines is $520
The first one is marked down by 40%.
The second is marked down by 10% with an additional 30% off.
For the first Washing machine,
Let x be the sale price of the machine
Given that the price is 40% marked down
=> the selling price of Washing machine = x - 40% of x
= [tex]x - \frac{40x}{100}[/tex]
= x - 0.4x = 0.8x
As we know the selling price of the washing machine = $ 520
=> 0.8x = 520
=> x = 520/0.8
=> x = 650
The sale price of the first washing machine = $ 650.
For the 2nd Washing machine,
Let y be the sale price of the machine
Given that the price is 10% marked down
=> the selling price of Washing machine = y - 10% of y
= [tex]y - \frac{10y}{100}[/tex]
= x - 0.1x = 0.9x
And given 30% off
30% off on 0.9x = 30% of 0.9x
The selling price will be = 0.9x - 30% of 0.9x
=> 0.9x - 0.27x = 0.63x
As we know the selling price of a washing machine = $ 520
=> 0.63x = 520
=> x = 520/0.63
=> x = 825.39
The sale price of the 2nd washing machine = $ 825.39.
By the above calculations
The sale price of the 2nd Washing machine is more expensive and profitable than the first Washing machine, So Kareem should choose the 2nd Washing machine to get profit.
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find the slope of a line that goes through the points ( -3,4) and (-3,1)
Please help me solve this
0
Step-by-step explanation:
The slope for this linear function would be 0.
It'd be a straight line, and slope tells you the steepness of a line, so it won't have slope.
Equation: x=-3
Image included to see line, and the two points.
Answer:
The slope is –3
Step-by-step explanation:
using the coordinate
(–3,4) and (–3,1)
x1 = –3,x2 = –3,y1 = 4, y2 = 1
using the formula for slope
m = y2 — y1/x2 — x1
m = 1 – 4/–3–(–3)
m = –3/–3+3
m = –3/0
m = –3
i hope this helps please rate the answer as brainliest so you can get some points
The graph of y = f(x) is shown below. Find all values of x where f(x) = 8.
The value of x when f(x) of 8 according to the graph is; 4.
How to calculate value of x?In order to determine a point's coordinates in a coordinate system, you must do the opposite. Start at the point and move in a vertical line in either an upwards or downwards direction to the x-axis. Here is the x-coordinate for you. Next, repeat the process while following a horizontal line to determine the y-coordinate.
According to the graph;
To determine the value of x when f(x) = 8.
We must plot a line of the equation; y = 8.
This y = 8 line produces a horizontal line.
The point at which the horizontal line, y = 8 intersects the given graph has an x coordinate.
Ultimately, this point has x coordinates of 4, making 4 the value of x when f(x) = 8.
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what is the nth term of the following quadratic sequence :
-1, 4, 15, 32, 55
The nth term of the following quadratic sequence -1, 4, 15, 32, 55 is 119.
What is meant by quadratic sequence?Any number sequence in which the second difference between any two successive terms is constant is referred to as a quadratic sequence. Think about the example below: 1;2;4;7;11;… We observe that all of the second differences equal one.
When the nth term rule includes a n2, the sequence is said to be quadratic (remember, a term is the word for a number in a sequence). A quadratic sequence's terms do not share a difference, in contrast to a linear sequence. The nth term of an arithmetic series can be calculated using our understanding of finding the nth term to be 2 n 2n 2n.
Let us assume that n=6,
aₙ=(n+1)(3n-1)
a₆=(6+1)(3(6)-1)
a₆=7(17)
a₆=119
Therefore, the nth term of the following quadratic sequence -1, 4, 15, 32, 55 is 119.
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A Survivorship Life Insurance Plan insures how many people under one plan?
More than three
One
Three
Two
A single survivorship life insurance policy can provide coverage for up to two persons.
What is meant by Life Insurance Plan?A contract between an insurance policy holder and an insurer or assurer in which the insurer agrees to pay a specified beneficiary a certain amount of money upon the death of an insured person is known as life insurance (or life assurance, particularly in the Commonwealth of Nations) (often the policyholder). Other occurrences, such critical illness or terminal disease, may also result in payment, depending on the contract. Usually, a premium is paid by the policyholder, either on a regular basis or all at once. Other costs, such burial costs, can be covered by the benefits.
Consequently, a single survivorship life insurance policy might provide coverage for two persons. These policies, which are also known as second-to-die joint life insurance, only provide a death benefit following the passing of both policyholders.
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A group spends $277. 50 to rent 15 tubes for a float down the ichetucknee river. How many of each type of tube does the group rent?.
The group rents 11 person tubes and 4 cooler tubes.
Let the no. of person tubes = x
Let the no. of cooler tubes = y
According to question,
Total no. of tubes = 15
Therefore, x + y = 15 ......... (I)
Cost of one person tube = $ 20
Cost of x person tube = 20x
Cost of one cooler tube = $ 12.50
Cost of y cooler tube = 12.5y
According to question,
Total cost = $ 270
Therefore, 20x + 12.5y = 270 .......... (II)
By solving equation (I) and (II), we get
x = 11
y = 4
Hence, The group rents 11 person tubes and 4 cooler tubes.
Correct Question :
A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. How many of each type of tube does the group rent? Person tube $20 Cooler tube $12.50.
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