Please help and explain!!!

Traveling with the wind, Jerry takes 10 minutes to bike to the local library. Traveling against the wind, it takes him 15 minutes. The library is 2.5 km away. What is Jerry's bicycling speed in still air?

Answers

Answer 1

Answer:

[tex]0.2\ km\ per\ minute[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]

[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]


Related Questions

Find the slope and type in the correct code.

Answers

Answer:

DFBG

Step-by-step explanation:

At any point in time;

slope m = (y2-y1)/(x2-x1)

1. (3,19) and ((-1,-13)

m = (-13-19)/-1-3 = -32/-4 = 8

Letter here is D

2. we pick out two points to use here from the line

These are ((0,1) and (2,5)

Slope is ;

(5-1)/2-0 = 4/2 = 2

Letter here is F

3. We pick any two points

(1,-8) and (4,-32)

slope =

(-32 + 8)/4-1 = -24/3 = -8

Letter here is B

4. Slope = 8 + 10/0-9 = 18/-9 = -2

letter here is G

Solving an Equation for a Given Variable
The equation f= v + at represents the final velocity of an object. f. with an initial velocity, u, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v =a
OL-v=a
V =a
OL+v=a

Answers

I’m so sorry I don’t know I not so good

¿Cuál debe ser el precio de venta de cada lápiz para que el ingreso total sea máximo? El ingreso total l(v) que se obtiene por la venta de lapices esta dado por la función l(v)=-2v^2+500v, donde v es el precio de venta de cada lápiz en pesos.

Answers

Responder:

125 pesos

Explicación paso a paso:

Dado el ingreso total l (v) obtenido de la venta de lápices por la función

Yo (v) = - 2v ^ 2 + 500v

v es el precio de venta de cada lápiz

Para que el ingreso total sea máximo, entonces dI / dv debe ser cero, es decir, dI / dv = 0

dI / dv = -4v + 500

Dado que dI / dv = 0

0 = -4v + 500

4v = 500

Dividir entre 4

4v / 4 = 500/4

v = 125

De ahí que el precio de venta de cada lápiz sea para que el ingreso total sea máximo es de 125 pesos

(Plzzzzz help) (15 points)The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?

Answers

Answer:

21

Step-by-step explanation: You have to first put all the numbers in order and divided it by the amount of numbers that are in ur set and boom ur done.

3. Write 7 thousandths as a decimal.
Comments

Answers

Answer:

7 thousandths as a decimal is 0.007

Step-by-step explanation:

The part where "ths" means a decimal. So we put 3 zeros, because a thousand also has 3 zeroes. 7 thousandths as a decimal is 0.007

Hope this helps

Mark me brainliest please :D

I'll love you forever if you help me with this

Answers

a. y + 4 = - 9/11 (x-8)

Please help!!! Thank you!!!

Answers

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

Does the table below show a linear relationship between total cost of
balloons in dollars and the number of balloons purchased?

Answers

Answer:

A yes

Step-by-step explanation:

Answer:

YES, because the points fall in a straight line when plotted on a graph.

Step-by-step explanation:

To graph these numbers we can take two of the points and put them into two point form and then convert that to slope intercept form.

(2,6) and (4,12)

(y-y1) = [(y2-y1)/(x2-x1)]*(x-x1)

y-6 = [(12-6)/(4-2)]*(x-2)

y = 3x+4

3 pounds cost $15. How many pounds can you buy for $45?

Answers

Answer:

you can buy 9 poundssss

9 pounds is the correct answer

3y (x + x^2 - y)
i need help :(((

Answers

Answer:

3yx+3yx^2-3y^2

Step-by-step explanation:

If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find

Answers

Answer:

a = 21.82 if and only if b=10 and c=24

if you meant b=24 c=10

there can't be such a triangle because the hypotenuse is the longest side

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\a=?\\\\b=24\\\\c=10\\\\\\a^2+(24)^2=(10)^2\\\\a^2=(10)^2-(24)^2\\\\a^2=(10-24)(10+24)\\\\a^2=-14(34)[/tex]

which doesn't work because something squared can't be a negative

if you meant

c=24 and b=10

[tex]a^2+(10)^2=(24)^2\\\\a^2=(24)^2-(10)^2\\\\a^2=(24-10)(24+10)\\\\a^2=(14)(34)\\\\a\approx 21.82[/tex]

9514 1404 393

Answer:

  a = 26  or  21.82

Step-by-step explanation:

If 'a' is the hypotenuse, then ...

  a² = b² +c²

  a² = 24² +10² = 576 +100 = 676

  a = √676 = 26 . . . if 'a' is the hypotenuse

__

If 'a' is the long side, then ...

  b² = c² + a²

  b² -c² = a² = 24² -10² = 576 -100 = 476

  a = √476 ≈ 21.82 . . . if 'a' is the long leg

__

Comment on the question

The problem statement doesn't tell us what side of the triangle is labeled 'a'. There are two possibilities. An answer has been provided for each. Use the one that applies to the figure you are given.

How many solutions will this system of equations have? (2 points)

x − 2y = 24
3x − 6y = 72

Answers

The answer is infinitely many solutions

If you divide the 2nd equation by 3, you get the first equation, meaning they are identical. That means that any value of x will be true, which means there are infinite solutions

PLEASE HELP!
In the accompanying diagram of rhombus ABCD, diagonal AC is drawn. If m<CAD 30, find m<ABC.

Answers

90 degrees is the correct answer

can you please give me a step by step? thank you!

Answers

Answer:

-3/2x +2

Step-by-step explanation:

To find slope: y value - y value over x value - x value

5-(-4) = 9

-2 -4 = -6

9/-6 = -3/2 after you divide each by gcf of 3

y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)

point 1 (-2,5): 5 = (-3/2)(-2)+b

                     5 = 3+b (subtract 3 from both sides)

                      2 = b (your y intercept)

Answer: y=[tex]\frac{-3}{2}[/tex]x+2

Step-by-step explanation:

1. Find the slope of the two coordinates by using the slope-intercept form:

    Slope intercept form=(y₂-y₁)/(x₂-x₁)

    (-4-5)/(4-(-2))

    (-9)/(4+2)

    -9/6 or -3/2

2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.

    Equation for point-slope: y-y₁=m(x-x₁), where m=slope

    y-5=[tex]\frac{-3}{2}[/tex](x-(-2)

    y-5=[tex]\frac{-3}{2}[/tex](x+2)

    y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]

    y-5=[tex]\frac{-3}{2}[/tex]x-3

(Add 5 to both sides)

    y=[tex]\frac{-3}{2}[/tex]x+2

What does 7/2h(-15h + 1 1/2) equal to? x doesn’t equal anything.

Answers

Answer: -7 (30h - 11) / 4h

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you can do is remove the brackets.

7/2 h * -15h = -52.5 h^2

7/2 h * 1 1/2= 7/2h * 3/2 = 21/4 h =5.25 h

7/2h(-15h + 21/4) = - 52.5 h^2 + 5.25 h = -52 1/2 h^2 + 5 1/4 h

Given the following functions, find the indicated values.
f(x) = 2 -5x
(a) f(-6) (b) f(0) (c) f(9)
(a) f(- 6) = 2
(b) f(0) =
(c) f(9) =

Answers

Answer:

f(-6) = 32

f(0) = 2

f(9) = -43

Step-by-step explanation:

Since in this question we are given a function all we have to do is to plug in the values that were indicated in the question and find out what value are we going to get as an output of this function. So we just do the following.....

a)

f(-6) = 2 - 5(-6)

f(-6) = 2 - (-30)

f(-6) = 2 + 30

f(-6) = 32

b)

f(0) = 2 - 5(0)

f(0) = 2 - 0

f(0) = 2

c)

f(9) = 2 - 5(9)

f(9) = 2 - 45

f(9) = -43

What does 5000 x 5000?

Answers

Answer:

25,000,000

Step-by-step explanation:

5*5=25 and add the 6 zeros

please give thanks :)

Answer:

well for me

Step-by-step explanation:

I think

=25000000

Which equasion represents a line that is parallel to the line y=-4x+5

Answers

In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4

4
.

Thus any line parallel to the line =−4+5
y
=

4
x
+
5
has an equation of the form =−4+
y
=

4
x
+
b
, where
b
is any number.

what are the slope and y-intercept for the graph of y-3x=-1

Answers

to find the slope, first you have to put the equation in the slope intercept form, which is y=mx + b

to do that, you have y - 3x = -1
you want to get y alone so add 3x to both sides
you’ll get y= 3x -1
so your m (slope) is 3

now your y intercept is always your constant which in this case is -1

answer: slope= 3x
y intercept: -1

Answer:

Step-by-step explanation:

Think of the equation y = mx + b

So the m is the slope and the b is the y-intercept

m/slope= 3 b/y-intercept= -1

Equation: -2(2x + y) = 28.

Answers

Answer:

x=-14-y/2

Step-by-step explanation:

divide both sides by -2

-2(2x+y)/-2=28/2

simplify

2x+y=-14

subtract y from both sides

2x+y-y=-14-y

simplify

2x=-14-y

divide both sides by 2

2x/2=-14/2-y/2

simplfy

x=-14-y/2

Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?

Answers

Answer:

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression

Answers

Answer:

y = 56x

Step-by-step explanation:

Given the amount to keep one adult in a day to be x

Since 7 days = 1 week

Amount it will take to keep one adult for a week will be 7x

one adult = 7x pounds

To get the expression that show how much it costs per week to keep the 8 adults, we will say;

8 adults = y pounds

where y is the required amount

Solving both expressions

one adult = 7x pounds

8 adults = y pounds

Cross multiply

1 * y = 7x * 8

y = 56x

Hence the required expression is y = 56x

Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075

Answers

Gfeedyyhres1234ffhhtfy

Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $140 more than Barb. Barb and Carlita combined sold $320 more than Annette. How much did each person sell?

Answers

Annette sold $580
Barb sold $440
Carlita sold $460
Whixh adds up to the total amount of $1480

Annette sold 580 which is 140 more than barb so 580-140= 440. Barb a carlita combined sold 320 more than Annette. We know Annette sold 580 so 580 +320 = $900 which it the combined total of what barb and carlita sold. We know barb sold 440 so 900-440= 460 which is the total amount that carlita sold.

I need help with this equation. I'm not that smart so I can't figure it out-

Answers

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

PLZ HELP ILL MARK U BRAINLEIST

Answers

Answer:

Step-by-step explanation:

OK so i think triangle c

Answer:

F And C

Step-by-step explanation:

congruent means identical in form

Find the value of x. Give reasons to justify your solution. D ∈ AC

Answers

Answer:

x = 13

Step-by-step explanation:

Find the diagram attached

From the diagram, the sum of angle of the straight line BCD is 180°. Hence;

<BCE+<ECF<90 = 180

<BCE+64+90=180

<BCE+154 = 180

<BCE = 180-154

<BCE = 26°

Next is to get x.

The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE

<BCE + <BEC = <ABE

26+x = 3x

Collect like terms

26 =3x-x

26=2x

x = 26/2

x = 13

Hence the value of x is 13

Please help as soon as possible! I need to get this done now! Thank you so much

Answers

Answer: SSS and CMW=FPY

Step-by-step explanation:

The lines on each side of the triangle show which sides match. So it is just a case of matching sides with sides.

The diagram represents a reduction of a triangle by using a scale factor of 0.8.
What is the height of the reduced triangle?
A) 4.0 inches
B) 4.8 inches
C) 5.2 inches
D) 7.5 inches

Answers

Answer:

B 4.8 inches

Step-by-step explanation:

The scale factors are used to convert a figure into another one with similar characteristics but different lengths, in this example is a triangle, and in order to calculate the measure of the height you just have to multiply the original height by the scale factor:

help look at image above

Answers

Answer:

any number greater than 5 (so 6 and 8)

Step-by-step explanation:

since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.

Other Questions
PLEASE HELP!! AND SHOW WORK PLEASE!! HELP HAVING A BAD DAYBrandon decided to make his own hand sanitizer.To be effective, hand sanitizer should contain 60% alcohol.How much water does Brandon need to make 250ml of hand sanitizer?I WILL REWARD BRAINLIEST FOR CORRECT ANSWER A green Katydid looks very much like a green leaf.If the katydid above has ten offspring, why might it be advantageous for some to be green,some yellow, and others brown? Match the words to the sentences in which they belong.Match Term Definitioncommunicate A) Many cellphones are ________.computer B) I like to stay ________ by playing many sports.active C) I like to ________ with my friends using text messages.expensive D) I use the ________ to do my homework after school. dont mind this question i need help with #1 10 points family life is happy because of coordination friendship and participation in each other members justify this statement HELP ME PLS ONLY PUT LEGIT ANSWERS AND NO ANSWERS THAT SAY IDK OR HI I NEED A REAL ANSWERplease please please please please please pleaseHELP Joe thought of it too What is the thought mentioned here what is the value of f What "evidence" is at the crime of the buried body to suggest thatAntigone committed the crime?FingerprintsO A handerchiefO An earringNothing 4(sin 60 + cos 60) = 1 + 3(sin60 - Cos 60) What is the female of un taureau?A. Une biquette.B. Une cocotte.C. Une vache.D. Une brebis. When reaching mile marker 7 on a trail, Natalie uses her GPS to find that her current elevation is 6350 feet. If she follows the trail until its end at mile marker 12, her elevation will be 8720 feet. What is the average change in elevation of Natalies position from mile marker 7 to mile marker 12, in feet per mile marker? 40PTS!! PLEASE ANSWER FULLY AND CORRECTLY OR I WILL REPORT!!In the space below, write an analysis of one character from A Midsummer Night's Dream, exploring what archetype they represent. Use examples from the text to support your claim. In addition to thoroughly analyzing the text, use at least one example of each of the grammar skills you have studied in this lesson, including: a participle, an infinitive, an example of active voice, an example of passive voice, a nonrestrictive clause, and a verb that expresses subjunctive mood. Highlight or bold each example in your response. Your response should be between two hundred fifty and three hundred words.WILL GIVE BRAINLIEST!! Pls help ASAP Explain why this mapping is or is not a function.A. This is a function because every input maps to only one outputB. This is a function because every output maps only the input C. This is not a function because more than on input maps to an outputD. This is not a function because more than one output maps the input In The Lady, or the Tiger? The accused man has a choice between two doors.What is behind the door he opens? Is it the lady or is it the tiger? He trusted hislover, the princess, to keep him safe. Did she? Answer the following question using complete sentences (3-4 sentences). Be sure to check your grammar and spelling.How did the new continents across the Atlantic Ocean come to be called America? Suppose that the radius of a circle increases at a constant rate of 0.25 cm/sec. When the radius of this circle is 16 cm, the area of the circle increases at a rate of SpanishLa Sra. Claus tejeguantes paralos elfos. Ella teje 32horas alsemana y completa112 paresde mitones. A eseritmo, cmoCuntos guantesindividuales tieneella?teier por hora?