Senior citizen tickets cost $7, while child tickets cost $3.
Define cost?A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.
Senior citizen tickets should equal ST.
CT = child tickets
The school sold 11 senior citizen tickets and 12 kid tickets on the first day of ticket sales for a total of $113.
11 senior citizens equals 11ST.
12 children equals 12CT a total $113
11ST + 12CT = $113 ( REFER AS 1 )
On the second day, the school sold 10 senior citizen tickets and 2 kid tickets, bringing in $76.
10 senior citizen =10ST
2 children = 2CT
total 76
10ST + 2CT = $76 ( REFER AS 2 )
So from 1 and 2 we do elimination method
multiply eq 2 with 6 and subtracted from eq 1
60ST + 12CT = 456
That is
(60 -11)ST + (12-12)CT = 456 - 113
49ST = 343
ST = 343/49
ST = $7
the cost of senior citizen ticket is $7
10ST + 2CT = $76
10*7 + 2CT = 76
70 +2CT = 76
2CT = 76 - 70
2CT = 6
CT = $3
the cost of child ticket is $3
Senior citizen tickets cost $7 each, while child tickets cost $3 each
( to recheck from eq 1
7*11 + 3* 12 should be equal to 113
77 + 36 = 113 )
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Which equation is linear?
-3
O y = 2+4
O y = 4x³ - 10
Oy= 3x (x - 2)
0y = 2-5
4
I need to know what p is 12.4 - p =7.9
Answer: p = 4.5
Step-by-step explanation:
12.4 - 4.5 = 7.9
Answer: p=4.5
Step-by-step explanation:
You do it like this: 12.4=7.9+p
12.4-7.9=p
p=4.5
When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?
A
The solution is 7.
B
There is infinite solutions.
C
There is only one solution.
D
There is no solution.
The last line of a solution is 7 = 7. It means there is infinite solutions.
What are types of solution of linear equation?
The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.
The set of linear equations can have one of three different sorts of solutions. As follows:
1) unique solution
2) No solution
3) Infinite solutions
Given that the last line after solving an equation is 7 = 7.
Since the LHS and RHS of the equation is same thus it has infinite many solution.
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Try it #3
Pls help!
Find the biggest common factor between the ratio's two terms to write the ratio in its simplest form. The largest number that equally divides both numbers is known as the greatest common factor of two numbers.
How do you express a ratio in its simplest form?1 : 1/2 = 2 : 1
Add whole numbers to the values.
Create a fraction with the full number 1 as the denominator.
Next, we have:
1 : 1/2 = 1/1 : 1/2
Remove the denominators from fractions to convert them to integers.
We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.
1 1/3 : 4 4/7 = 7 : 24
There are now:
1 1/3 : 4 4/7 = 4/3 : 32/7
Remove the denominators from fractions to convert them to integers.
We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.
0.360 : 0.153 = 40 : 17
Add whole numbers to the values.
By multiplying both sides by 103 = 1000 to remove all three decimal places, you can convert any decimal values to integers.
Next, we have:
0.360 : 0.153 = 360 : 153
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Solve the equation below. Only 1 term should be entered in each blank space.
Begin by reducing the fraction on the left by the greatest common factor and entering the new denominator
Since the terms on the left side of the equation are all divisible by that denominator, simplify the left side of the equation
Answer:
it's not easy but I'll try my best when I get the answer I'll come back thanks
k3-4j=12,wen k =8,j=2
With the Application of Arithmetic operators the value of given equation is 492.
what is Arithmetic operators?
an operator that works with groups and numbers in arithmetic. The prefix and the binary plus (+) and minus (-) symbols are the only arithmetic operators in AHDL that are supported for Boolean expressions.
solution:
sub k =8,j=2 in equation k^3-4j = 12
Therefore, (8)^3 - 4 (2) = 12
512 - 8 - 12 = 0
492 is the value.
Therefore the value of given equation is 492
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Complete Question:
What Is The Answer
k3 - 4j +12, when k=8, j=2
Given MN is perpendicular to MP, PQ is perpendicular to MP, and NR is congruent to OR. Prove triangle NRP is congruent to triangle QRM
1. [tex]\overline{MN} \perp \overline{MP}[/tex], [tex]\overline{PQ} \perp \overline{MP}[/tex] (given)
2. [tex]\angle NMP[/tex] and [tex]\angle MPQ[/tex] are right angles (definition of perpendicular lines)
3. [tex]\angle NMP \cong \angle MPQ[/tex] (all right angles are congruent)
4. [tex]\overline{NR} \cong \overline{QR}[/tex] (given)
5. [tex]\angle NRM \cong \angle QRP[/tex] (vertical angles)
6. [tex]\triangle PRQ \cong \triangle MRN[/tex] (AAS)
7. [tex]\overline{MR} \cong \overline{RP}[/tex] (CPCTC)
8. [tex]\angle NRP \cong \angle MRQ[/tex] (vertical angles)
9. [tex]\triangle NRP \cong \triangle QRM[/tex] (SAS)
a plane, 50 miles away from its destination, is flying toward the airport at an altitude of 30,500 feet. later, this same plane is 20 miles from the airport and has descended to an altitude of 18,000 ft. how far has the plane flown?
Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.
What is unit conversion?By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.
What is Pythagorean theorem and it's formula?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
It's formula is:
[tex]h^{2} = p^{2} +b^{2}[/tex]
h1=30500 feet = 5.77 miles
d1= 50 miles
h2= 18000 feet = 3.4 miles
d2= 20 miles
for right angle triangle,
height = h1-h2 = 2.37 miles
distance = 50-20 = 30 miles
plane flown = [tex]\sqrt{2.37^{2}+30^{2}}[/tex]
=30.09 miles
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Annapurna suppliers sold construction materials of
Rs. 4,40,000 to Angel suppliers making 10% profit
and adding 13% VAT. Angel suppliers spent Rs. 5,000
for transportation cost and made 10% profit on the
purchased price excluding VAT and levied local tax Rs.
2500 and sold to constructor. What VAT amount should
be paid by the constructor?"
Ans: Rs. 70187
First, we need to find the price that Angel suppliers paid for the construction materials, including the profit made by Annapurna suppliers and the VAT.
The price that Annapurna suppliers sold the materials for was Rs. 4,40,000 + Rs. 4,40,000 * 10% = Rs. 4,84,000.
The VAT that Annapurna suppliers added was Rs. 4,84,000 * 13% = Rs. 62,820.
So, the total price that Angel suppliers paid was Rs. 4,84,000 + Rs. 62,820 = Rs. 5,46,820.
Next, we need to find the price that the constructor paid for the materials, including the profit made by Angel suppliers, the transportation cost, the local tax, and the VAT.
The profit that Angel suppliers made was Rs. 5,46,820 * 10% = Rs. 54,682.
The total price that the constructor paid was Rs. 5,46,820 + Rs. 54,682 + Rs. 5,000 + Rs. 2,500 = Rs. 6,58,002.
The VAT that the constructor should pay is Rs. 6,58,002 * 13% = Rs. 70187.
Therefore, the answer is Rs. 70187.
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STEP BY STEP please help me asap please !!!???
Answer:
(A) 19 times, 16 people.
Step-by-step explanation:
There are 374 people in line and 16 people leave the line without riding, so there are 374 - 16 = <<374-16=358>>358 people who want to ride the Caterpillar.
The Caterpillar seats 18 people, so it must run 358/18 = <<358/18=19.89>>19.89 times to accommodate all the riders.
Since the Caterpillar cannot run a fraction of a time, it must run 19 times.
There are 358 people who want to ride and the Caterpillar can accommodate 19 x 18 = <<19*18=342>>342 of them, so there are 358 - 342 = <<358-342=16>>16 people on the last ride.
Therefore, the Caterpillar runs 19 times and there are 16 people on the last ride, so the answer is (A) 19 times, 16 people.
Tell me if this helped :)
suppose that a product is designed to function for 10,000 hours with a 3% chance of failure. find the average number of failures per hour and the mttf.
A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours
Given,
Chance Product is designed to function for 10,000 hours
of failure is 3%
To find,
Average number of failures per hour
MTTF
Solution,
Average number of failures per hour = Chance of failure/Total hours of function
= 3%/10000
= 0.03/10000
= 0.000003
MTTF = 1/Average number of failures per hour
= 1/0.000003
= 333,333 hours
The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.
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Hello can someone help me out with these two questions!?!?! This will help me a lot thank you! :D
The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The inequalities are,
2( x +6 ) > -6( x +1) +2
2x + 12 > -6x - 6 + 2
2x + 6x > -12 - 6 +2
8x > -16
x > -2
-3x - 1 ≥ 20
-3x ≥ 21
x ≥ -7
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Michael and Maria saw 6 cupcakes on the table. Michael ate 1/3 of the cupcakes. Maria ate 1/2 cupcakes. How many cupcakes are left on the table?
A:1 cupcake
B:1 1/2 cupcakes
C:4 2/5 cupcakes
D:2 cupcakes
Answer: The answer is C
Step-by-step explanation:
6- 1/3 - 1/2 = 4 2/5
what is the the difference between a repeating decimal and a nonstop decimal on the rational numbers chart
Repeating decimals are those numbers that, following the decimal point, continue to repeat the same value. The term "non-repeating rational numbers" refers to decimal numbers that do not repeat their value after the decimal point.
Repeating decimals are those numbers that, following the decimal point, continue to repeat the same value. Recurring numbers is another name for these figures. The term "non-repeating rational numbers" refers to decimal numbers that do not repeat their value after the decimal point.
A repeating decimal can be a rational number, and any integer is a rational number since it can be expressed as a fraction by simply assigning it a denominator of 1. Then, by multiplying and dividing the decimal according to its place values, we can also state that a terminating decimal can be expressed as a fraction.
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simplify the expression. be sure to show or explain how you arrived at your answer (-6i)(4i)
Answer:
hi no ugh I pero Eresi me gusta la
(redo) A mistake was made in the steps shown to simplify the expression. which step includes the mistake?? EDMENTUM
The step in which there was a mistake in the simplification of the expression is given as follows:
A. Step 5.
How to simplify the expression?The expression in this problem is defined as follows:
(1 + 3²)/5 + |-10|/2
The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:
(1 + 3²)/5 + 10/2.
Then the square is applied to 3², as 3 x 3 = 9, hence:
(1 + 9)/5 + 10/2
The parenthesis takes precedence, hence:
10/5 + 10/2.
The first quotient takes precedence, hence:
2 + 10/2.
Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:
2 + 5 = 7.
This means that option A is correct.
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Identify the slope and y-intercept of each linear function's equation. X -3=4 slope = 1; y-intercept at -3 y=1-3x slope =-3; y-intercept at 1 y = 3x. - 1 slope =-1; y-intercept at 3 -x+3=y slope = 3; y-intercept at -1
Using slope-intercept form, the slope and y-intercept of the equation are 1 and - 7 respectively
Slope and Y-interceptThe slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.
The slope of the line is defined as the rate of change of the y - axis to the change in the x - axis.
The formula is represented as;
m = Δy / Δx
where Δ represent the change
The y-intercept of a line is the point at which the line touches the y-axis of the graph.
With these information, we can write a slope-intercept form of a straight line which is given as;
y = mx + c
m = slopec = y-interceptIn the given question;
x - 3 = 4
Let's collect like terms
x - 3 - 4 = x - 7
The equation can be rewritten as y = x - 7
In this case, the slope is 1 and the y-intercept is - 7
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Using composition of functions, determine if the two functions are inverses of each other. A. No, because the functions contain different operations. B. Yes, for all values x ≥ 0. C. No, because the composition does not result in an answer of x. D. Yes, because F(x) is equal to –G(x).
Yes, for all values x ≥ 0. If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other.
What is composition of functions?Composition of functions is a mathematical operation that involves combining two functions to form a new function. To determine if two functions are inverses of each other using composition of functions, we need to first define the two functions and then determine if the composition of the two functions is equal to the identity function (f(x) = x).If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other. In this case, the correct answer is B: Yes, for all values x ≥ 0.To learn more about composite functions refer :
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I need help with these
Answer:
[tex] = \frac{11}{10} \\ \\ [/tex]
this is the correct answer for first question
Given that a line has a y-intercept of 3 and a slope of 4, write an equation for the line in slope intercept form.
a. y=3x+4
b. y=4x+3
c.y=(-3/4)x+3
d.y=(4/3)x+4
Answer:
equation of the line should be y=3x+4.
Step-by-step explanation:
I apologize if i'm wrong :)
Find the inverse of the function f(x) = 3x + 2. State the answer in slope-intercept form.
question in screenshot (need help ASAP)
Consider the equation y = negative 2 x + 5. Create a table of five ordered pairs that satify the equation. What is the slope of the line represented by the equation? a. M = 2 b. M = 5 c. M = negative 2 d. M = negative 5.
Answer: C
Step-by-step explanation:
Slope is the number right in front of x, which in this case would be -2. So C is the answer.
Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.
x|y
0|5
1|3
2|1
3|-1
4|-3
Word Problems: (please write out the equations and solve it)
1. David is going out for a pizza. The Pizza costs $10.50 plus $1.50 for each extra
topping ,x. Write an equation to represent the total cost of the pizza, t.
Dependent variable:
Independent variable:
Equation:
Use your equation to determine the total cost of the pizza with 3 extra
toppings.
The total cost of the pizza is
Dependent variable: t (total cost of the pizza)
Independent variable: x (number of extra toppings)
Equation: t = 10.50 + 1.50x
To determine the total cost of the pizza with 3 extra toppings, plug in x = 3 into the equation:
t = 10.50 + 1.50(3)
t = 10.50 + 4.50
t = 15.00
So the total cost of the pizza with 3 extra toppings is $15.00.
What is Dependent Variables?
The dependent variable is the variable that is being measured or studied in a statistical or scientific research study. It is called the dependent variable because it is believed to depend on the value of one or more other variables, known as the independent variables.
What is Independent Variables?
Independent variables are variables that are manipulated or controlled by the researcher in a scientific or statistical study. They are called independent variables because they are believed to have an effect on the dependent variable, which is the variable being measured or studied.
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Use long division to find the quotient below.
(5x5 + 90x² - 135x) + (x+3)
O A. 5x -5x³ + 25x² - 45x
OB. 5x4-15x³ + 45x² - 45x
O C. 5x + 5x³-25x² - 45x
○ D. 5x¹ + 15x³ - 45x² - 45x
Use long division to the quotient is [tex]5 x^5+90 x^2-134 x+3[/tex]
What is quotient?
A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.A fraction's quotient is the whole number that results from simplifying the fraction. The quotient is the fraction's decimal form if the simplified fraction yields a non-whole number.
[tex]\begin{aligned}& \text { Simplify }\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-134 x+3 \\& \text { Steps } \\& \left(5 x^5+90 x^2-135 x\right)+(x+3)\end{aligned}[/tex]
[tex]Simplify $\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-135 x+x+3$[/tex]
[tex]=5 x^5+90 x^2-135 x+x+3[/tex]
[tex]Add similar elements: $-135 x+x=-134 x$[/tex]
[tex]=5 x^5+90 x^2-134 x+3[/tex]
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what is the product of all constants $k$ such that the quadratic $x^2 kx 15$ can be factored in the form $(x a)(x b)$, where $a$ and $b$ are integers?
The value of k as calculated from the information provided is -16 , -8 , 8 , 16.
The given equation is,
x² + kx + 15
= ( x + a ) (x + b)
= x² + (a + b ) x + ab
Therefore,
k = a + b
ab = 15
as known , a and b are integers,
15 = ( -1 x -15 ) , ( 1 x 15)
15 = (-3 x -5) , (3 x 5 )
Therefore,
k = -1 -15
= -16
and
k = -3 - 5
=8
The values of k are -16 , -8 , 8 , 16.
The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.
On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.
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Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The
area of the patio is 350 ft2. Find the base. Round your answer to the nearest foot.
Hint : Use A = bh.
We may calculate our answer using fractions and the fact that the base is 18.3 feet.
What are fraction ?The components of a whole or group of items are represented by fractions. A fraction consists of two components.
The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.
The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.
There are three different methods to express a fraction: as a fraction, as a percentage, or as a decimal. Let's examine each of the three representational styles.
According to our question-
The patio is 280 square feet in size. locate the base.
Height = 5x Area = 280 feet square
Base = 6x
The parallelogram A's area can be expressed mathematically as;
Base + height equals area.
A = b×h
the values of area, base, and height are substituted.
280 = 5x × 6x = 30x^2 \sx^2 = 280/30 \sx = √(280/30)
Given that the base is 6x,
swapping out x's value.
Base = 6x = 6(√(280/30))
Base=18.3 feet
18.3 ft tall is the base
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Answer:
At short 18.7 ft is the answer
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100 m, find Its area.
Answer:4
Step-by-step explanation:
rectangular prism 1 829 equals the conterpostiive
In an exhibition, the cost of tickets for an adult is ₹5 more than thrice the cost of ticket for a child. Which equation relates the cost, , of adult ticket in terms of the cost, , of child ticket?
In an exhibition, the cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Equation relates the cost, y, of adult ticket in terms of the cost, x, of child ticket.
Cost of Adult ticket = y
cost of child ticket = x
cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.
=> cost of tickets for an adult = 5 + 3 (cost o f ticket for a child.)
=> y = 5 + 3x
=> y = 3x + 5
Equation is y = 3x + 5
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At a little-known vacation spot, taxi fares are a bargain. A 21-mile taxi ride
takes 28 minutes and costs $8.40. You want to find the cost of a 48-minute taxi ride. What unit price do you need?
The unit price of a taxi cost is $0.30 per minute. And the total cost of a 48-minute taxi ride will be $14.4.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
At a generally secret getaway destination, taxi passages are a deal. A 21-mile taxi ride requires 28 minutes and expenses $8.40.
The number of dollars in each minute that the taxi driver charges will be given as,
Rate = $8.40 / 28
Rate = $0.30 per minute
If the taxi ride is of 48-minute. Then the total cost is given as,
Total cost = $0.30 x 48
Total cost = $14.4
The unit cost of a taxi cost is $0.30 each moment. Furthermore, the complete expense of a 48-minute taxi ride will be $14.4.
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