The cost of the burger is $10.50, the cost of the souvenir is $28.00, and the cost of the pass is $42.00.
Let's assume the cost of the pass is x dollars.
According to the given information:
The burger costs 1/4 of the souvenir, so the burger's cost is[tex](1/4) \times x[/tex]dollars.
The souvenir costs 2/3 of the pass, so the souvenir's cost is [tex](2/3) \times x[/tex]dollars.
Mark had $4.50 left over after buying these items, so we can set up the following equation:
[tex]43.00 - [(1/4) \times x + (2/3) \times x] = $4.50[/tex]
Simplifying the equation, we have:
[tex]43.00 - [(1/4) \times x + (2/3) \times x] = $4.50[/tex]
[tex]43.00 - (1/4 + 2/3) \times x = $4.50[/tex]
[tex]43.00 - (3/12 + 8/12) \times x = $4.50[/tex]
[tex]43.00 - (11/12) \times x = $4.50[/tex]
To solve for x, we'll isolate the variable on one side of the equation:
$43.00 - $4.50 = (11/12) * x
$38.50 = (11/12) * x
Now, we can solve for x by multiplying both sides of the equation by (12/11):
[tex](12/11) \times $38.50 = x[/tex]
$42.00 = x
Therefore, the cost of the pass is $42.00.
Now we can find the costs of the burger and the souvenir:
The burger costs 1/4 of the souvenir, so its cost is (1/4) * $42.00 = $10.50.
The souvenir costs 2/3 of the pass, so its cost is (2/3) * $42.00 = $28.00.
For similar question on cost.
https://brainly.com/question/29509552
#SPJ11
Will Give Brainliest Please Help!
Question 11
Explanation, step-by-step
You would need two angles to know the lines are parallel
angles c and d are complementary. the measure of angle d is 15 degrees greater than the measure of angle. what is the measure of each angle.
The measure of the angles is c = 37. 5 degrees
d = 15 + 37.5 = 52. 5 degrees
How to determine the anglesTo determine the value, we need to know what complementary angles are;
Complementary angles are defined as pair of angles whose sum is equal to 90 degrees
From the information given, we have that;
Angle c and d are both complementary angles
Also, the measure of angle d is 15 degrees greater than the measure of angle c
Then, we have;
d = 15 + c
Substitute the values
c + 15 +c = 90
collect like terms
2c = 90 - 15
2c = 75
Divide both sides by the coefficient
c = 37. 5 degrees
Substitute the value for angles d
d = 15 + 37.5 = 52. 5 degrees
Learn about complementary angles at: https://brainly.com/question/98924
#SPJ1
what is the surface area of 10 in 10 in 10in
The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2).
19
A
Straight line A passes through the points (-1, 2) and (1,6)
Straight line B has equation y-x
Work out the coordinates of the point where line A crosses line B
You may use the grid to help you.
40
10
+
7
-2
14
T
6
5-
4-
3
2
O
-1-
-2-
-3
-5-
-6-
Answer (
2
3
5
6
[4 marks]
Which of the following function pairs are inverses?
Question 3 options:
A)
B)
C)
f (x) = x2 – 16 and g(x) = x – 4
D)
The function pairs that are inverses are:
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
To determine if two functions are inverses, we need to check if applying one function and then the other function will return the original input.
Let's go through each option:
A) f(x) = -2x and g(x) = (1/2)x
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f((1/2)x) = -2(1/2)x = -x
Since f(g(x)) = -x ≠ x, these functions are not inverses.
B) f(x) = 4x² and g(x) = √x
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f(√x) = 4(√x)² = 4x
Since f(g(x)) = 4x = x, these functions are not inverses.
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f((x + 3)/5) = 5((x + 3)/5) - 3 = x + 3 - 3 = x
Since f(g(x)) = x, these functions are inverses.
D) f(x) = x² - 16 and g(x) = x - 4
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f(x - 4) = (x - 4)² - 16 = x² - 8x + 16 - 16 = x² - 8x
Since f(g(x)) = x² - 8x ≠ x, these functions are not inverses.
Based on the analysis above, the function pairs that are inverses are:
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
To learn more about the composite function;
https://brainly.com/question/29048585
#SPJ1
The complete question:
Which of the following function pairs are inverses?
A) f(r) = -2x and g(x) = (1/2)x
B) f() = 4x² and g(x) = √x.
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
D) f(x) =x² - 16 and g(x) = x - 4
Dakota measured a neighborhood park and made a scale drawing. The scale of the drawing was 1 inch : 5 yards. A soccer field in the park is 12 inches wide in the drawing. How wide is the actual field?
The actual width of the soccer field is 60 yards.
Given, the scale of the drawing is 1 inch : 5 yards.
The width of the soccer field in the drawing is 12 inches.
So, the actual width of the soccer field can be found by multiplying the width in the drawing by the scale factor:
Actual width = Width in drawing x Scale factor
The scale factor is 5 yards per inch, so we can write:
Actual width = 12 inches x 5 yards per inch
Actual width = 60 yards
Therefore, the actual width of the soccer field is 60 yards.
Learn more about the Scale images here:
brainly.com/question/13194929
#SPJ1
30 POINTS HELP! To analyze the change in the number of dog walks over time, draw a line to model the data. Use the connect line to draw the line.
The line of the best fit that models the data is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The graph
To draw a line to model the data is to draw the line of best fit
A good line of best fit would have equal number of points on either sides
To plot the graph, we draw a line that divides the points on the graph evenly
This line when drawn on the scattered points divided the points approximately evenly
Hence, the line of the model is attached
Read more about line of best fit at
brainly.com/question/1441182
#SPJ1
8) John wishes to make a line
plot of the heights in inches for a soccer team. The heights are
listed below. How many dots
would be above the greatest
height recorded?
Answer options
1
2
3
4
There are three dots above the greatest height.
We have,
The greatest height is 75
The smallest height is 62
Now,
We can make a line plot as:
* *
* * * * *
* * * * *
62 66 68 72 75
Thus,
There are three dots above the greatest height.
Learn more about line plots here:
https://brainly.com/question/29573088
#SPJ1
Sheila was setting up a room with tables for an event. The room had
12 plastic tables and 3 composite tables. Each table can seat 8
people.
What is the probability that the first person to enter the room will be
randomly seated at a plastic table?
The probability that the first person will be seated at a plastic table is 0.8
The probability that the first person will be seated at a plastic table?From the question, we have the following parameters that can be used in our computation:
Plastic tables = 12
Composite tables = 3
Using the above as a guide, we have the following:
Total tables = 12 + 3
Evaluate the sum
Total tables = 15
So, we have the probability to be
P = Plastic tables/Total tables
Substitute the known values in the above equation, so, we have the following representation
P = 12/15
Evaluate
P = 0.8
Hence, the probability that the first person will be seated at a plastic table is 0.8
Read more about probability at
https://brainly.com/question/31649379
#SPJ1
Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years.
Determine the quartiles.
0.76
1.08
1.32
1.55
1.83
2.09
2.57
2.83
3.01
3.25
3.63
3.78
4.09
4.32
4.64
4.93
5.23
5.34
5.44
5.73
The quartiles of rainfall in April for the city are:
Q1 = 1.96Q2 = 3.44Q3 = 4.79.What are the quartiles of rainfall?The quartiles refers to the e values that split sorted data into four parts each with an equal number of observations
To determine quartiles, we first need to sort the data in ascending order which are:
[tex]0.76, 1.08, 1.32, 1.55, 1.83, 2.09, 2.57, 2.83, 3.01, 3.25,\\3.63, 3.78, 4.09, 4.32, 4.64, 4.93, 5.23, 5.34, 5.44, 5.73[/tex]
There are 20 data points, so, median (Q2) will be the average of the 10th and 11th values.
Q2 = (3.25 + 3.63) / 2
Q2 = 3.44.
Q1 = (1.83 + 2.09) / 2
Q1 = 1.96.
Q3 = (4.64 + 4.93) / 2
Q3 = 4.79.
Read more about quartiles
brainly.com/question/28169373
#SPJ1
simplify 28 divided by 0
Answer: Infinity
Step-by-step explanation: Since 0 doesn't have a measurable amount of times it can go into 28 the answer is infinity.
When we write four thousand two hundred that is what form?
The equivalent value of the expression is A = four thousand two hundred and A = 4,200
Given data ,
Let the expression be represented as A
Now , the value of A is
A = four thousand two hundred
On simplifying the equation , we get
A = 4,200
And , when we write "four thousand two hundred," it is written in word form
Hence , the equation is A = 4,200
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
4.1 Find the intervals on which the function = [tex]x^{3}[/tex] −
4[tex]x^{2}[/tex]$ + 10 is increasing or decreasing.
The intervals on f(x) is increasing on (-∞, 0) and (8/3, ∞), and decreasing on (0, 8/3).
The intervals on which the function f(x) = x³ − 4x² + 10 is increasing or decreasing need to find its derivative and determine its sign.
f(x) = x³ − 4x² + 10
f'(x) = 3x² − 8x
The critical points we set f'(x) = 0 and solve for x:
3x² − 8x = 0
x(3x − 8) = 0
x = 0 or x = 8/3
These are the critical points of the function.
Now we can determine the sign of f'(x) in each interval:
Interval (-∞, 0):
Choose x = -1. f'(-1)
= 3(-1)² - 8(-1)
= 11 is positive.
So f(x) is increasing on (-∞, 0).
Interval (0, 8/3):
Choose x = 1. f'(1) = 3(1)² - 8(1)
= -5 is negative.
So f(x) is decreasing on (0, 8/3).
Interval (8/3, ∞):
Choose x = 3. f'(3) = 3(3)² - 8(3)
= 19 is positive.
So f(x) is increasing on (8/3, ∞).
For similar questions on intervals
https://brainly.com/question/30354015
#SPJ11
William throws a football in the air from a height of 4 feet with an initial upward velocity of 96 feet per second.
Write a rule in the form of h=at^2+bt+c that models the height h of the football after t seconds.
Answer:
Step-by-step explanation:
its 123 jd
Please Help Im stuck
Answer: The last one is the right one
Step-by-step explanation:
So first solve for n
1/2n+3<5
1/2n<2, multiple by 2 on both sides to remove fraction
n<4
the circle will be at 4, and since n<4, n is less than 4, so your line must also be less that 4.
bryan’s hockey team is purchasing jerseys the company charges 250$ for a one time set up fee and 23$ for each printed jersey which expression represents the total cost of x number of jerseys for the yeam
Answer:
23x+250 and that would equal your total cost
What is the area of the figure?
The area of the triangular figure is 16 m²
What is the area of a triangle?The area of a triangle is given by A = 1/2bh where
b = length of base and h = height of triangleGiven the figure below, we see that it is two triangles with height, h = 2 m and base, b = 8 m.
Since the area of each triangle is A = 1/2bh, and the area of both triangles are the same, then the area of both triangles is A" = A + A
= 2A
= 2(1/2bh)
= bh
Substituting the values of the variables into the equation, we have that
A" = bh
= 8 m × 2 m
= 16 m²
The area is 16 m²
Learn more about area of triangle here:
https://brainly.com/question/28470545
#SPJ1
Find the measures of the acute angles.
29.67°
37°
168°
12°
The length of a pen is about
Any options to pick from?
Most pens are about 13-14 cm or approx 5.5 inches.
Write the number 6,600,000 in scientific notation.
Answer:
6.6 x 10^6
Step-by-step explanation:
Select the correct answer.
Which statement is true?
OA
Point estimates are used to make inferences about population parameters.
OB. When we use the population mean and proportion to summarize information about the entire population, we call them point
estimates.
OC. The population mean and proportion are always equal to their corresponding point estimates.
O D.
The sample mean and sample proportion of a population are called population parameters.
Answer:
A. Point estimates are used to make inferences about population parameters.
Jonah walks 1/3 mile in 3/4 hour. What constant of proportionality relates the distance she travels to the time?
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
learn more on function:
https://brainly.com/question/2412552
#SPJ1
A cylinder has the height of 12 inches and radius of 7 inches what is the volume
Answer:
588π
Step-by-step explanation:
Volume of cylinder = π r ² h
= π (7)² (12)
= 588π
A set contains 13 elements.
a) How many subsets does it have?
b) How many proper subsets does it have?
Step-by-step explanation:
Answer and Explanation:
The set contains 13 elements here, so the total number of subsets can be calculated as 213=8192 2 13 = 8192 .
This proportion can be solved to find the unknown length, x
, in the smaller triangle.
Answer:
x=3
Step-by-step explanation:
1.25/5.00=2/8=x/12=1/4
12=x×4
x=12÷4
x=3
car cost #450,000 and its being sold for #540,000. find the profit as a percentage of the cost price
WILL GIVE BRAINLIEST PLEASE HELP
round 12.083 to the neatest tenth
Answer: 12.1
Step-by-step explanation: rounding 12.083 to the nearest tenth will leave you with- 12.1
hope this helps!
If Hannah place is 6500 into account and a 5% interest compounded continuously how much will she have after 10 years?