Answer:
To find the range of flight times, you need to find the difference between the shortest and longest flight times. The shortest flight time was on Monday at 314 minutes, and the longest flight time was on Friday at 407 minutes. The range is 407 - 314 = 93 minutes. The correct answer is therefore (b) 93 min.
Step-by-step explanation:
Match each compound inequality on the left to the graph that represents its solution on the right.
Note that equation 1 matches the Line Graph in option (B), equation 2 matches option (C), and equation 3 matches option (A).
How would you define a Line Graph?It is a graph that depicts a line connecting many points or a line indicating the relationship between the points. The graph depicts quantitative data between two changing variables by connecting a sequence of succeeding data points with a line or curve.
With regard to the above-given graphs,
The inequalities are given as
1. 4x + 3 > 15 or —6x ≥ 12
2. —8x > —24 and —10 ≤ 2x -6
3. -29 ≤ 9x -2 < 16
Note that the way to identify the plots on the line graphs is by solving the above equations.
1) 4x + 3 > 15 or —6x ≥ 12
4x + 3 > 15 can be solved by subtracting 3 from both sides, resulting in 4x > 12. Dividing both sides by 4 gives x > 3.-6x ≥ 12, can be solved by dividing both sides by -6, resulting in x ≤ -2.2) —8x > —24 and —10 ≤ 2x -6
To solve for x in —8x > —24, divide both sides by -8
x > 3;
So solve for —10 ≤ 2x -6; add 6 from both sides and divide by 2
-4/2 ≤ x
-2 ≤ x or x ≥ -2
3) -29 ≤ 9x -2 < 16
To solve this inequality, you can start by isolating the variable on one side of the inequality. To do this, you can add 2 to both sides to get:
-29 + 2 ≤ 9x < 16 + 2
-27 ≤ 9x < 18
Now divide both sides by 9 to get:
-3 ≤ x < 2
This means that x can be any number that is greater than or equal to -3 and less than 2.
Given the above results, it is correct to state that equation 1 matches option (B), equation 2 matches option (C), and equation 3 matches option (A).
Learn more about Line Graphs:
https://brainly.com/question/19040584
#SPJ1
Full Question:
See the attached.
Find the measure of angle A,
Find the missing measure. Round to the nearest tenth (first decimal place)
15
26°
x
The missing measure of the given right-angled triangle is: x = 2.5
How to find the measure?Given a right-angled triangle, with one of its angle as 14° ,assume
angle y= 14°. Also given length of one of it's side is 18. Let's assume the side as z = 18.
As it is given it's a right-angled triangle,
∴ By using trigonometric formula,
tan y = opposite /adjacent
∴ tan 14° = z/x
tan 14° = 18/x
7.24 = 18/x ......( as tan 14°= 7.24)
∴ x = 2.48
∴ x ≈ 2.5
To know more about trigonometry, check out:
brainly.com/question/13729598
#SPJ1
Hot dogs and corndogs were sold at last night's football game. A total of 81 were sold which allowed the concession stand to bring in $201. How many of each were sold?
The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53
What is total cost?Total cost is the overall expense incurred for a particular product, service, or project. It includes both fixed and variable costs, such as materials, labor, and overhead. It is often used in business and economic analysis as a measure of the efficiency and profitability of a particular venture. The total cost of a product or service can also be used to set prices and make pricing decisions.
According to question:-
step1
h = number of hotdogs
c = number of corndogs.
cost of hotdog = $3
corn dog = $1.50
The equation:
3h + 1.50c = 201 (1)
h = 2c - 3 (2)
step2
substitute (2) into (1)
3(2c - 3) + 1.50c = 201
6c - 9 + 1.50c = 201
7.50c - 9 = 201
7.50c = 201 + 9
7.50c = 210
c = 210/7.50
c = 28
Therefore,
h = 2c - 3
= 2(28) - 3
= 56 - 3
= 53
To know more about total cost visit:
brainly.com/question/12717815
#SPJ1
BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ1
"-12<-3x-15" less than or equal to 36
Answer:
-17 ≤ x < 1
Step-by-step explanation:
-12 < -3x - 15 ≤ 36
Add 15 to all 3 "sides."
-12 + 15 < -3x - 15 + 15 ≤ 36 + 15
3 < -3x ≤ 51
Divide all 3 "sides" by -3. Remember that when you multiply or divide an inequality by a negative number, you much change the direction of the inequality sign.
3/(-3) > -3x/(-3) ≥ 51/(-3)
-1 > x ≥ -17
Rewrite in standard order.
-17 ≤ x < 1
Please i have a question you can help me for answer.
The question is
Follow the construction program to build below the figure
° Draw a segment {ST} of length 9 cm.
°Draw the circle with center T and radius 4 cm
.
° Draw the circle with diameter {ST}
° The two circles intersect at A and B. Without measuring, give the length of the segments {TA} and {TB}:
The length of segments TA and TB are both 4 cm.
How to determine the diagram and the lengthsTo solve this problem, we can use the properties of circles and the relationship between the radius and the diameter.
Since the radius of the circle with center T is 4 cm, the diameter of this circle is 2 * 4 = 8 cm.
Since the length of segment ST is 9 cm, the diameter of the second circle is also 9 cm.
Since the radius of the circle with center T is 4 cm, the radius of the second circle is also 4 cm.
Since the two circles intersect at points A and B, the segments TA and TB are equal in length.The length of segment TA and TB is the radius of the second circle, which is 4 cm.
Therefore, the length of segments TA and TB are both 4 cm.
The figure is attached
Learn more about Properties of circles in
brainly.com/question/30066312
#SPJ1
A square pryamid have a total surface area of 1,477,500ft² and need to find the slant length. The length is 750ft. Find the slant length.
A.) 610in
B.) 610ft
C.) 3,050ft
D.) 3,050in
PLEASE BE FAST
Find the constant of proportionality for the proportional relationship shown in the graph.
graph of a line going through 0 comma 0 and one half comma 5
p = 10
p = 5
p = 0.5
p = 0.1
The constant of proportionality is 10 for the proportional relationship shown in the graph.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The proportional relationship is shown in the given graph.
As per the given graph, we take two points (1, 10) and (2, 20)
So, the constant of proportionality will be as:
⇒ (20 - 10)/(2-1)
⇒ 10/1
⇒ 10
Hence, the correct answer would be option (A).
To learn more about the constant of proportionality here:
https://brainly.com/question/17302514
#SPJ1
Need Help Solving This.
On solving the provided question, we can say that 50 will therefore be the missing number in the odd numbers 2 5 10 x 2637.
What are odd numbers?A number that is odd is one that can't be partitioned flawlessly into matches. One remains after dividing an odd number by two. The numbers 1, 3, 5, 7, 9, 11, 13, and 15 are consecutively odd. While odd numbers cannot be divided in half, even numbers can. 3, 5, 7, 9, 11, 13, and 15 are unusual cases. Even numbers include 2, 4, 6, 8, 10, 12, and 14.
According to the given question:
Following the numbers 3, 5, 7, 9, 11, and 13, which are all odd numbers, the provided series moves on to 13.
Therefore,
After 37, there will be a break before 50.
50 will therefore be the missing number.
To know more about odd numbers visit:
https://brainly.com/question/2057828
#SPJ1
On solving the provided question, we can say that in this function f(x) = /16/1224 x^2 + 7x/5 + 1.5 = > f(2) = 2234.2454
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
in this function
f(x) = /16/1224 x^2 + 7x/5 + 1.5
f(2) = 2234.2454
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
How would I complete these answers?
so, we can say that therefore, the sample of 20 cheerleaders used for the study provides the solution to the issue.
Describe sample.A sample is a controlled, abridged version of a bigger group. It is a demographic subset containing characteristics from a larger population. Samples are used in statistical testing when population sizes are too large to accommodate all prospective participants or observers in the experiment.
The 20 cheerleaders that are used as a sample for this study are.
Explanation: Because only 20 cheerleaders were chosen from high schools in California for the research of the banana influence on speed and endurance, the sample available was limited to those 20 cheerleaders. As a result, the sample's results were based on those 20 cheerleaders.
To know more about sample visit
brainly.com/question/27860316
#SPJ1
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Flying with the wind, the same plane travels 4040 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is 800 km/h while the rate of the wind is 210 km/h
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x represent the speed of the airplane in still air and y represent the speed of the wind.
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Hence:
x - y = 4720 km / 8 hr
x - y = 590 (1)
Flying with the wind, the same plane travels 4040 kilometers in 4 hours. Hence:
x + y = 4040 km / 4 hr
x + y = 1010 (2)
From both equations:
x = 800, y = 210
The speed of the airplane is 800 km/h
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
7. (a) A homeowner wishes to replace the three identical steps leading to her front door with a ramp. Each step is 10 cm high and 35 cm long. Find the length of the ramp. Give your answer correct to one decimal place.
Answer: To replace the three steps with a ramp, the height of the ramp must be equal to the total height of the steps. Since each step is 10 cm high, the total height of the three steps is 3 * 10 = 30 cm.
The length of the ramp must be equal to the length of the steps, since the ramp is replacing them. Since each step is 35 cm long, the total length of the three steps is 3 * 35 = 105 cm.
So the length of the ramp to replace the three steps leading to the front door is 105 cm, correct to one decimal place.
Step-by-step explanation:
Find the slope of the line through each pair of points.
(4, 18), (4, -11)
Answer:
undefined
Step-by-step explanation:
slope formula:
m =y2-y1 / x2-x1
m= -11-18 / 4-4= -29/0
you cannot divide by zero so the slope is undefined
The derivative of the function f is given by f′(x)=x^2−2−3xcosx. On which of the following intervals in [−4,3] is f decreasing?
The function f'(x) = x² - 2 - 3xcosx is decreasing on (- 4, - 3) and (- 1, 1).
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f'(x) = x² - 2 - 3xcosx.
We know a function f(x) is decreasing if f'(x) is < 0.
Therefore,
x² - 2 - 3xcosx < 0.
x² - 3xcosx < 2.
x(x - 3cosx) < 2.
Now, 3cosx can be [- 3, 3].
x(x - 3) < 2 and x(x + 3) < 2.
x < 2 Or x - 3 < 2 and x < 2 or x + 3 < 2.
x < 2 Or x < 5 and x < 2 or x < - 1.
But x should be in [- 4, 1], Therefore it is decreasing at (- 4, - 3) and (- 1, 1).
learn more about functions here :
https://brainly.com/question/12431044
#SPJ1
Draw a diagram of x + 2 and a separate diagram of 3x when x is 2.
The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.
The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.
What is diagram in mathematics?In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.
For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).
A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.
Learn more about diagram in brainly.com/question/11729094
#SPJ1
You are going to run at a constant speed of 6.5 miles per hour for 30 minutes. You calculate the distance you will run. What mistake did you make in your calculation? [Use the formula S = dt.]
Answer:
Below
Step-by-step explanation:
S = dt S = distance d = rate = 6.5 m/ hr t = time = 30 min = 1/2 hr
S = (6.5 m/hr) *(1/2 hr) = 3.25 miles
The value of distance you will run will be;
⇒ Distance = 3.25 miles
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
You are going to run at a constant speed of 6.5 miles per hour for 30 minutes.
Here,
Speed = 6.5 miles per hour
Time = 30 minutes
= 30/60 hour
= 1/2 hour
We know that;
⇒ Speed = Distance / Time
Substitute all the values we get;
⇒ 6.5 = Distance / (1/2)
⇒ 6.5 × 1/2 = Distance
⇒ Distance = 3.25 miles
Thus, We get;
⇒ Distance = 3.25 miles
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ1
convert 84min into fraction
Answer:
[tex]\frac{7}{5}[/tex]
Step-by-step explanation:
I am thinking that you mean 84 minutes compared to an hour?
[tex]\frac{84}{60}[/tex] ÷ [tex]\frac{12}{12}[/tex] = [tex]\frac{7}{5}[/tex]
Write −12x+y=10 in slope-intercept form.
The equation −12x+y=10 in slope-intercept form is y = 12x + 10
How to write the equation in the slope-intercept formThe general equation showing the slope-intercept form of a graph is represented as;
y = mx+ c
Given that;
y is a point on the y-axis of the graphm is the slope of the graphx is a point on the x -axis of the graphc is the intercept of the line on the y-axisFrom the information given, we have the equation as;
−12x+y=10
Now, let's make 'y' the subject of formula by
-12x + y = 10
Take '12x' to the other side of the equality sign
y = 10 + 12x
Make into slope-intercept form, we have
y = 12x + 10
Hence, the formula is y = 12x + 10
Learn more about slope-intercept here:
https://brainly.com/question/1884491
#SPJ1
The slope-intercept form of the equation of line −12x + y = 10 is y = 12x + 10.
What is the slope-intercept form of the equation of line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the line;
−12x + y = 10
To rewrite in slope intercept form ( y = mx + b ), bring terms containing y to the left and x or constant terms to the write side of the equation.
−12x + y = 10
Add 12x to both sides
−12x + 12x + y = 10 + 12x
y = 10 + 12x
Reorder in slope intercept form
y = 12x + 10
Therefore, the slope intercept form is y = 12x + 10.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars. The expression that represents how much money Kate will collect is . Identify any variables, constants, and coefficients and explain what they mean in terms of the expression representing this scenario.
The expression that represents how much money Kate will collect
is y = 5x + 2x.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.
Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.
Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.
y = 7x.
learn more about equations here :
https://brainly.com/question/29657988
#SPJ1
You have a 1/3 -teaspoon measuring spoon and a 1/2-teaspoon measuring spoon. What are two ways you can measure 3 1/6 teaspoons of salt?
Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons
and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
3 1/2 + 2/3 = 3 1/6
Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons
3 + 2/3 = 3 1/6
So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.
Step-by-step explanation:
From the set {28, 56, 112}, use substitution to determine which value of x makes the equation true.
x ÷ 2 = 56
The number in the replacement set that will make the equation true is (c) 112
How to determine the solution to the expressione/equation?From the question, we have the following parameters that can be used in our computation:
x ÷ 2 = 56
Rewrite the expression properly
so, we have the following representation
x/2 = 56
Also, we have the replacement set to be
{28, 56, 112}
In the given equation, we have the variable to be
The variable is x
Multiply 2 to both sides of the expression
So, we have the following representation
2 * x/2 = 56 * 2
Evaluate the products on both sides of the equation
x = 112
Hence, the solution is x = 112
Read more about equation at
brainly.com/question/2972832
#SPJ1
4 is the slope of a line y - 4x = 0 true or false
it is false but 4 is not y-4x=0
What is the following sum?
Answer:
The 4th one
Step-by-step explanation:
Right on edge!
A pack of paper costs $3.79, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $15 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.
Answer:
3 stacks of paper can be purchased.
Step-by-step explanation:
Start by setting up the inequality:
15 = 3.79x
Now that you have set up the inequality, go to solve the inequality.
You should get the answer 3.958 (rounded). Since Mr. Valentino can not by a half stack of paper, drop the decimal so we are left with 3.
I would describe the graph as a straight line increasing, with money on y and stacks of paper on the x axis
If s is directly proportional to t, and s = 30 when t = 15, find t when s = 64.
Step-by-step explanation:
please refer to sketch for detail
My question is in the pic
Answer: 7t+7
Step-by-step explanation: i know
Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7
What is the radius of a globe that has a volume of 268.08 in³?
Answer:
4 inches is the radius
Step-by-step explanation:
Illustrate the effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream
The effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream is that there will be more production and demand in the market.
What is Market?This is referred to as a place where buyers and sellers can meet to facilitate the exchange or transaction of goods and services.
A decrease in the price of milk and input to ice cream means that production costs would fall, which will cause the suppliers to produce more thereby shifting the supply curve to the right with the demand for the goods being increased which is therefore the effect on the market.
Read more about Market here https://brainly.com/question/25754149
#SPJ1
If m∠A = 29°, m∠B = 84°, and c = 14, what are the measures of the remaining sides and angle?
Answer:
m∠C = 67°, a = 7.37, b = 15.13
Step-by-step explanation:
There are 180° in a triangle. We know two angles in the triangle, so we can calculate the third angle.
Since this is not a right triangle, we will use the Law of Sines.
SinA/a = SinB/b = SinC/c
see image.