Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!



The table shows the relationship between the participants walking and running for the week's cross-country practices.



Walk (laps) 3 B 15

Run (laps) 5 10 D

Total (laps) A C 40



At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?

They will walk 7 laps and run 17 laps for a total of 32 miles.

They will walk 12 laps and run 20 laps for a total of 32 miles.

They will walk 14 laps and run 18 laps for a total of 32 miles.

They will walk 10 laps and run 22 laps for a total of 32 miles.

Pls Help, I Will Give 5 Star And Thanks, Plus Brain To Correct Answer, Plus Extra Points If Correct!!

Answers

Answer 1

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

What is the direct proportional relationship?

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.

For a total distance of 32 miles, the distances walked and run are given:

Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

Learn more about proportional relationships here: brainly.com/question/10424180

#SPJ1


Related Questions

if i drank x ounces of juice and someone drank 1/3 more than that what is your equation.

Answers

Answer:

y = x + 1/3

Step-by-step explanation:

We know

You drank x ounces of juice and someone drank 1/3 more than what you think

Let's y represent the total, we have the equation

y = x + 1/3

Answer: 4/3x (or 1/3 + x, since your wording's pretty odd)

Step-by-step explanation:

i can't tell if the one-third you're referring to is a third of how many ounces of juice you drank (meaning it will change if you drank 1, 2, 3 oz of juice and so on) or if it's always going to be a third of an ounce more than the amount of oz of juice you drank (in which case it'd be 1/3 + x). anyway just choose whichever answer you're looking for :3

How do you solve inequalities in 7th grade?

Answers

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.

Suppose we want to solve the inequality x + 3 > 2.

We can solve this by subtracting 3 from both sides:

x + 3 > 2

x > −1

So the solution is x > −1. This means that any value of x greater than −1 satisfies x + 3 > 2.

Inequalities can be represented on a number line such as that shown in the image attached below. The solid line shows the range of values that x can take. We put an open circle at −1 to show that although the solid line goes from −1, x cannot actually equal −1.

To know more about inequality visit: brainly.com/question/28823603

#SPJ4

Is 5 an algebraic term?

Answers

5 is not an algebraic expression.

Since it is obvious that 5 is a constant, even if constants constitute a component of the algebraic equation, they do not finish it. A variable and an operator are also necessary for an expression to qualify as an algebraic expression. Any unknown term, such as x, y, or z, can be a variable, and the operators + and - can be used. Terms with no associated variables are known as constants. A variable and an operator are also necessary for an expression to qualify as an algebraic expression.

It follows that 5 cannot be an algebraic expression.

To learn more about algebraic expression here:

https://brainly.com/question/23867556

#SPJ4

what is 13 divided by 12

Answers

The answer simplified would be 1.08

Answer:

1.0833333333333333333333333333333333 (repeats)

Step-by-step explanation:

use a calculator

What is the slope of the line that contains the points (-3, -7/2) and (2, -4)

Answers

Answer: m = -1/10

Step-by-step explanation:

Use the slope formula to find the slope m.

m = −1/10

Ashley is selling handmade jewelry to earn money for camp. Bracelets sell for $7.62 and
necklaces sell for $15.67, and she needs to make at least $450 in revenue to cover the cost
of camp.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
X
= the number of bracelets
V
= the number of necklaces

Answers

Equation for the sentence's inequality are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

what is inequality ?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

given

let X =  the number of bracelets

let Y =  the number of necklaces

The inequality equation = 7.62x + 15.67y >= 450

Equation for the sentence's inequality She needs to generate at least $450 in revenue because bracelets are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

To know more about inequality visit :-

https://brainly.com/question/29914203

#SPJ1

what is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?

Answers

Answer:

Step-by-step explanation:

Given Line equation is 4x+3y=12 and point (3,4)

Given condition two line are parallel

Parallel means two straight lines having same slope.

From the above condition we can use "point-slope"  equation.

[tex]y-y_{1} =m(x-x_{1} )[/tex]    

From the given line equation we can find slope easily.

We can rewrite the line equation as [tex]y=-\frac{4}{3} x+4[/tex]

We can compare the above equation as  y=mx+b

slope [tex]m=-\frac{4}{3}[/tex] and point [tex](x_{1} ,y_{1} )[/tex]=(3,4) submit in slope-point equation.

Becareful while submit point in the slope point equation.

Note:(Many students do mistakes while submitting point.

[tex]y-4=-\frac{4}{3}(x-3)[/tex]

solve and get the answer

Equation of line is 4x+3y=24

What is the slope of 5x 2y =- 3?

Answers

The slope of 5x 2y =- 3 is -5/2.

To find the slope of the equation 5x 2y =- 3, we need to rearrange it into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

We start by rearranging the equation 5x 2y = -3 so that all the terms with y are on one side and all the terms with x are on the other side.

5x -2y = -3

Now, we divide both sides by -2 to isolate y.

-5x/2 = y + 3/2

Finally, we subtract 3/2 from both sides to get the equation in the slope-intercept form.

-5x/2 = y - 3/2

Therefore, the slope of the equation 5x 2y = -3 is -5/2.

Learn more about slope here

https://brainly.com/question/3605446

#SPJ4

Alex, beverly and carl live on the ame traight road. Alex live 12 mile from berverly and carl 4 mie from berve,y, how far doe alex live from carl?

Answers

If we assume that Cal lives between Beverly and Alex: so the distance between the two of them is 11-4 = 7 miles.

What is the number line and why is it used?

Number line is a line contain every real numbers which includes all rational and irrational number. Generally we use it for determining ranges of a set. Using number line we can understand range and domain of function easily. A number line is a picture representation of real numbers evenly laid out on a straight line.

How far is from 0 on a number line?

The distance from zero of a positive number r is simply r. But if r is negative, then we make a positive number by multiplying by -1, in other words -r is the distance in that case.

There is a standard mathematical function that does this, called the modulus function.

And whether r is positive or negative we write it like this |r|

So for example |100|=100 and |-100|=100 as well.

Alex is 11 miles away, and Cal is 4 miles away, so the distance between the two of them is 11-4 = 7 miles.

If we assume that Cal lives on the opposite side of Beverly from Alex:

Alex is 11 miles away from Beverly, and Cal is 4 miles away from Beverly in the opposite direction from Alex, so the distance between Alex and Cal is 11 + 4 = 15 miles.

The easiest way to see this is by creating a number line.

(for the first possible solution) If you put Beverly as a point, let's call it 0, then we would put Alex at 11 and Cal at 4, and the distance between them is 7.

(for the second possible solution) If you put Beverly as a point, 0, then we would put Alex at 11 and Cal at -4, and the distance between them is 15.

To learn more about number line visit:

https://brainly.com/question/30064799

#SPJ4

45 PTS no need to explain.

Answers

Answer:

B. SAS

-----------------------------------

The two triangles have 2 sides marked as congruent and the included angles are congruent as vertical angles:

AC ≅ EC,BC  ≅ DC,∠ACB ≅ ∠ECD

This gives us SAS congruence postulate.

The matching choice is B.

Which of the following best describes the figure with vertices (1, -4), (-2, 1), (3, 4) and (5, 2)?
Answer fast pls
Square

Parallelogram

Quadrilateral

Rectangle
Answer choices

Answers

The best description of the figure with the vertices given is, C. Quadrilateral

How to find the figure ?

The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.

The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.

To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.

The length of (1, -4), and  (-2, 1) is:

=  5.83 units

The length of (-2, 1), and   (3, 4) is:

= 5.83 units

The length of (5, 2) and  (3, 4) is:

= 2.82 units

The length of (5, 2) and  (1, -4 ) is:

= 7.21 units

The shape is neither a square nor a rectangle so it is a quadrilateral.

Find out more on quadrilaterals at https://brainly.com/question/27991573

#SPJ1

The function w (t) = 29 + 0.0674t gives the estimated weight, in pounds, of a beaver t days
after June 1, where t < 90. Which of the following is the best interpretation of 29 in this context?

1)The estimated weight, in pounds, of the beaver 90 days after June 1

2)The estimated weight, in pounds, of the beaver on June 1

3)The estimated number of pounds by which the beaver's weight increased each day after June 1

4)The estimated number of pounds by which the beaver's weight increased in the 90 days after
June 1

Answers

Answer:

2) The estimated weight, in pounds, of the beaver on June 1.

Step-by-step explanation:

Given function:

[tex]w(t) = 29 + 0.0674t \quad t < 90[/tex]

where:

w = weight of a beaver (in pounds)t = time after June 1 (in days)

When t = 0:

[tex]\begin{aligned}\implies w(0)&=29+0.0674(0)\\&=29+0\\&=29\end{aligned}[/tex]

Therefore, the constant of the equation (29) is the estimated weight of the beaver, in pounds, when t = 0.

As t = 0 is June 1:

29 is the estimated weight, in pounds, of the beaver on June 1.

How many minutes will a bus take to cover 5 km travelling at 9 km/h?

Answers

Answer:

the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

Step-by-step explanation:

To find out how many minutes it will take for a bus to cover 5km at a speed of 9km/h, we need to use the formula:

time = distance / speed

In this case, the distance is 5 km, and the speed is 9 km/h. To convert the speed to km/min we can divide 9 by 60.

9 km/h = 0.15 km/min (by dividing 9 by 60)

Now we can substitute the distance and speed into the formula:

time = 5 km / 0.15 km/min = 33.33 min

So, the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

It's important to note that in this problem km/h is the speed and the distance is given in km, so you need to convert it to km/min in order to find the time. Also the time you get will be in minutes.

Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form

Answers

Answer:

6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000

six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths

Step-by-step explanation:

right!!!

Hape a and hape b are each made from five identical quare
The perimeter of hape a i 60 cm
work out the perimeter of hape b

Answers

50 cm is the required perimeter of shape B.

What is the perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations.

We must sum up the lengths of the rectangle's four sides in order to get its perimeter.

So, according to the given figures:

Shape A's circumference is 60 cm.

Let x cm be the length of each square.

The total length of shape A's free bounds is equal to 12x.

Consequently, 12x = 60.

x = 5 cm

Currently, the length surfaces of form B equal 10x.

Shape B's perimeter equals 10x.

= 10(5)

= 50 cm

Therefore, 50 cm is the required perimeter of shape B.

Know more about perimeter here:

https://brainly.com/question/19819849

#SPJ4

Correct question:
Shape A and Shape B are each made from 5 identical squares.

The perimeter of shape A is 60cm. Work out the perimeter of Shape B

Six toilet rolls cost $1.99. Nine toilet rolls cost $2.69. Is cost directly proportional to number of toilet rolls? Explain your reason!​

Answers

Answer:

not directly proportional

Step-by-step explanation:

if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.

first

one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )

second

one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )

since the unit costs are different there is not a directly proportional relationship.

Answer:

No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.

Step-by-step explanation:

$1.99 divided by 2 = 0.995

$1.99 + 0.995 = $2.985

$2.985 > $2.69

Hope this helps!!! :)

A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove past her stretch of highway in a twenty minute period. She separated the results by whether the cars were traveling northbound or southbound. The histograms show the speed of each car that she recorded.
Which statement is an appropriate inference based on the median of each data set?

Question 4 options:

1.)The northbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
2.)The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
3.)The southbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
4.)The southbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.

Answers

Answer:

2.

Step-by-step explanation:

There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.

On a hot summer day, jay set up a lemonade stand. He kept track of how many glasses he sold on his phone


A. Write two equations that relate the number of large glasses sold i and the number of small glasses sold s. ?


B. Solve the system of equations


C. How many small glasses were sold?


D. How many large glasses were sold?

Answers

On solving the provided question, we can say that - the value of the linear equation is 2y+8x = 140

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, we have 2y + 8x

and x = 10 ; y = 15

2y + 8x

20 + 120 = 140

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Let n be the least positive integer for which 149^n-2^n is divisible by 3^3.5^5.7^7.$ Find the number of positive integer divisors of n.

Answers

Calculating the LCM of all these, one gets  2^2. 3^2 . 5^4 .7^5. Using the factor counting formula, the answer is 3.3.5.6 = {270}

Step-by-step explanation:            

Note that for all n, 149^n-2^n  is divisible by 149-2=147  by difference of nth powers. That is 3.7^2, so now we can clearly see that the smallest n to make the expression divisible by 3^3  is just 3^2 Similarly, we can reason that the smallest n to make the expression divisible by 7^7 is just 7^5.
       

Finally, for 5^5, take (mod {5}) and ( mod {25} )of each quantity (They happen to both be -1 and 2 respectively, so you only need to compute once). One knows from Fermat's theorem that the maximum possible minimum n for divisibility by 5 is 4, and other values are factors of 4. Testing all of them(just 1,2,4 using mods-not too bad), 4 is indeed the smallest value to make the expression divisible by 5, and this clearly is NOT divisible by 25. Therefore, the smallest (n) to make this expression divisible by 5^5 is $2^2 .5^4.    

Using the factor counting formula, 2^2. 3^2 . 5^4 .7^5 = 3.3.5.6 = {270}

To learn more about possible integers divisors
https://brainly.com/question/15649999      
#SPJ4    

Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.


Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50


What does the y-intercept mean in this situation?
When the cab travels 0 miles, the total fee will be $14.00.
When the cab travels 0 miles, the total fee will be $1.50.
For every additional mile the cab travels, the total fee increases by $14.00.
For every additional mile the cab travels, the total fee increases by $1.50.

Answers

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

What is the y-intercept?

The formula to find the y-intercept is y = f(x), where x = 0, and then solve for y.

The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.

Cab Fare

Number of Miles Total Fee

2                             $17.00

5                             $21.50

7                            $24.50

10                          $29.00

15                          $36.50

Difference between 7 and 5 = 2

Difference between $24.50 and $21.50 = $3

Variable cost per mile (Slope) = Rise/Run

= $1.50 ($3/2)

y = mx + b

y-intercept, b = 24.50 - 7(1.5)

= 14

= $14.00

Thus, the y-intercept in this situation means Option A while the slope shows that for every additional mile, the total fee increases by $1.50.

Learn more about the y-intercept at https://brainly.com/question/25722412

#SPJ1

Answer:

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

Step-by-step explanation:

What is seed calculator?

Answers

Answer: The Seed Calculator app is used to calculate the amount of seed required in order to produce a desired crop yield.

Step-by-step explanation:

How do you write log2 in exponential form?

Answers

To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.

Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.

Log Rules:

1. the first rule is logb(mn) = logb(m) + logb(n)

2. the second rule is logb(m/n) = logb(m) – logb(n)

3. the third rule is: log b (mn) = n · logb(m)

1. Multiplication can be turned outside the log into addition and vice versa can be turned.

2. Division can be spin outside the log into a subtraction, and vice versa.

3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.

To know more about Exponential:

https://brainly.com/question/23133947

#SPJ4

The Space Needle elevator can hold a maximum of 4,500 pounds. Twenty-five people need to use the elevator. Arian had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator?
Answer choices
Mode

Mean

interquartile range

Median

Answers

The measure that would be most useful to determine if the people can safely use the elevator is B. Mean

How to illustrate the information?

The most useful measure to determine if the people can safely use the elevator would be the mean weight of the people, as it would give an idea of the average weight of the group and if it is below 4,500 pounds.

The mode is the most common value in a set of data and does not give information about the weight of the entire group. The interquartile range is a measure of the spread of the middle 50% of the data and does not give information about the average.

In conclusion, the correct option is B.

Learn more about mean on:

https://brainly.com/question/14532771

#SPJ1

For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?

Answers

The value of 'a' for which the system of equations has a unique solution is a = 4/3.

The given system of equations can be written as:

Ax = 2

6x – 2y = 3

To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.

Solving for 'x' in the first equation, we get:

x = 2/a

Solving for 'y' in the second equation, we get:

y = (3 + 6x)/2

Substituting the value of 'x' in the above equation, we get:

y = (3 + 6(2/a))/2

Equating the two equations, we get:

2/a = (3 + 6(2/a))/2

Multiplying both sides of the equation by 'a', we get:

2 = 3a + 6

Subtracting 2 from both sides of the equation, we get:

3a = 4

Dividing both sides of the equation by 3, we get:

a = 4/3

Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.

Learn more about unique solution here:

https://brainly.com/question/29157707

#SPJ4

Which two lines have the same slope

Answers

Answer: B

Step-by-step explanation: These lines are parallel. If you count over then down from point to point, then the slope for both lines is negative since it is going down, the slop is -2/1

What is a 9 sided shape called?

Answers

A 9-sided shape is called a nonagon.

Therefore the answer is nonagon.

A nonagon is a polygon with nine sides and nine angles. A nonagon can be regular or irregular, depending on the lengths of its sides and angles. A regular nonagon has equal sides and angles, while an irregular nonagon has sides and angles of different lengths.

Nonagons are two-dimensional shapes, and they can be described by their number of sides, angles, and vertices. They are considered a type of polygon, which is a closed geometric figure that is made up of straight lines. In addition to nonagons, there are other types of polygons such as triangles, quadrilaterals, pentagons, hexagons, heptagons, and so on.

To know more on polygon

https://brainly.com/question/24328525

#SPJ4

Find (angle) Then classify the triangle by its angles.

M (angle) 1 =

Answers

Answer:

m∠1 = 110°obtuse triangle

Step-by-step explanation:

You want to find the measure of the angle designated as ∠1, given the other two have measures of 40° and 30°. You also want the classification of the triangle based on its angles.

Angle sum

The sum of angles in a triangle is 180°.

  40° +∠1 +30° = 180°

  ∠1 = 110° . . . . . . . . . . . . subtract 70°

Triangle classification

The classification of a triangle as acute, right, or obtuse is based on the measure of its largest angle. If that angle is 90°, the triangle is a right triangle. If it is less, the triangle is acute; if it is more, the triangle is obtuse.

The angle measure 110° is more than 90°, so this triangle is an obtuse triangle.

Plsssss help me in the photo

Answers

0.01 is not the way of expressing the relationship because it does not represent the correct ratio between 10 square and 100 square

What is ratio ?

A ratio tells the relationship between two or more quantities by comparing their relative sizes.It is typically written as two or more numbers separated by a colon (:), such as 2:4, or expressed as a fraction, such as 2/4. The numbers in a ratio represent the relative amounts of the quantities being compared. A ratio can be used to compare any type of quantity, such as length, weight, or time.

A) 10 square is 1/10th of the area of 100 square. It can be represented as a fraction, where the numerator is the area of the smaller square (10) and the denominator is the area of the larger square (100). The fraction would be 1/10.

B) Another way of expressing the relationship is as a percentage, where the smaller area (10) is divided by the larger area (100), and the result is multiplied by 100 to get the percentage. So 10 square is 10% of 100 square.

To know more about the Ratio, check out:

brainly.com/question/12024093

#SPJ1

plane flew from Red Deer to Winnipeg, a flying distance of 1260 km. On the return journey, due to a strong head wind, the plane travelled 1200 km in the same time it took to complete the outward journey. On the outward journey, the plane was able to maintain an average speed 20 km/hr greater than on the return journey. Calculate the average speed of the plane from Winnipeg to Red Deer.

Answers

The average speed of the plane from Winnipeg to Red Deer is 400 km/h

What is average speed?

Average speed is total distance travelled over total time taken.

What is the average speed of the plane from Winnipeg to Red Deer?

Since a plane flew from Red Deer to Winnipeg, a flying distance of 1260 km. On the return journey, due to a strong head wind, the plane travelled 1200 km in the same time it took to complete the outward journey. On the outward journey, the plane was able to maintain an average speed 20 km/hr greater than on the return journey.

Let

v = speed of plane on outward journey , v' = speed of plane return journey and t = time of travel

Since the plane travels 1260 km on the outward journey, we have that

1260 = vt  (1)

Also,  the plane travels 1200 km on the inward journey, we have that

1200 = v't  (2)

Since the plane was able to maintain an average speed 20 km/hr greater than on the return journey, we have that

v = v' + 20 (3)

Substituting equation (3) into (1), we have that

1260 = (v' + 20)t  (4)

The required equations are

1260 = v't + 20t  (4)

1200 = v't  (2)

Subtracting equations, (2) from (4), we have that

1260 = v't + 20t  (4)

-

1200 = v't  (2)

60 = 20t

t = 60/20

t = 3 h

From equation (2), we have that the average speed

v' = 1200/t

Substituting t = 3 into the equation, we have that

v' = 1200/3

v' = 400 km/h

So, the average speed is 400 km/h

Learn more about average speed here:

https://brainly.com/question/28309905

#SPJ1

In describing the cost equation, Y = a + bX, "a" is:
- A) The dependent variable cost.
- B) The independent variable the level of activity.
- C) The total fixed cost.
- D) The variable cost per unit of activity.

Answers

Answer:

C) The total fixed cost.

Other Questions
dentify the past participle in this sentence. After he received some alarming test results from the doctor, Steve stopped eating fried foods What is the direction of the 4 typhoon? Brand A has a pack of 28 pencils for $4.19. Round to the nearest tenth Describe the gestalt principles of proximity similarity continuity and closure There are 12 girls and 16 boys in Mr jonsons 3rd period class of these students 3 girls and 4 boys wear glasses what percentage of the Stu in Mr jonsons class wear glasses Melissa, a marketing manager for an amusement park, has a goal of increasing sales for the month of October. Melissa needs to first spend time mapping out the necessary steps she and her team of sales representatives must take so that they can increase their sales numbers. Which managerial function is she performing Write a lab report on the lab How do the process of conduction, convection, and radiation help distribute energy on earth. for edge 1. Purpose- state the purpose of the lab.2. Hypothesis- (Use if, then, because in your statement)3. Materials- list all materials used in the lab4. Procedures- state step by step what is being done in the lab5. Observation/data- state what is being measured6. Analysis/conclusion-state by summing up what was done in the lab and evaluate yourhypothesis with what actually happened What is the main purpose of a blog? What is '__ main __'? How do you identify this verb? `y=7/(1,000)-(9x)/8` is this proportional or nonproportional Let f(x)=5x and g(x)=sinx and h(x)=g(f(x))=sin(5x) What is h(x)? Do we need life insurance? Find the quotient. 3 2/5 Katie says that if a number is a multiple of 8, it is also a multiple of 4. Is Katie correct? Explain. Katie is correct. Any number that has 4 as a factor will also have 8 as a factor; therefore, any number that has 8 as a factor will have 4 as a factor. Katie is correct. Since 4 is a factor of 8, any multiple of 8 will also be a multiple of 4. Katie is incorrect. 80 is a number that has 8 as a factor but not 4. Katie is incorrect; just because 4 is half of 8 does not mean that a number that has 8 as a factor will also have 4 as a factor. HELP PLS ASAP PLS AND THANK U How did nationalism impact and influence ww1 given a mixture of lead (2) oxide,ammonium chloride and sodium chloride,describe how this mixture can be separated to obtain a sample of each 13. The number of pictures your printercan print are shown in the table. Findthe rate in pictures per minute.Minutes 2 4 68Pictures 16 32 48 6415.16 What is the spring constant of a spring of negligible mass which gained 8 joules of potential energy as a result of being compressed 0.4 meter an e-mail virus involves sending an e-mail message with a modified field. true or false