Felipe jogs for 3 miles and then walks another 3 miles. He jogs 1 and 1/2 miles per hour faster than he walks, and the entire distance of 6 miles takes 3 hours. Find the rate at which he walks and the rate at which he jogs.

Answers

Answer 1

Answer:

walking: 1.5 mphjogging: 3 mph

Step-by-step explanation:

Let w represent Felipe's walking speed in miles per hour. Then his total travel time is ...

  time = distance/speed

  3 = 3/w +3/(w+1.5) . . . . . total time is the sum of walking and jogging times

  1 = 1/w +1/(w +1.5) . . . . . divide by 3

  w(w +1.5) = (w+1.5) +w . . . . multiply by w(w+1.5)

  w^2 -0.5w -1.5 = 0 . . . . . . subtract 2w+1.5

  (w -1.5)(w +1) = 0 . . . . . . . factor

The values of w that make this equation true are w = 1.5 and w = -1. Only the value 1.5 makes any sense in this scenario. Felipe's jogging speed is then 1.5+1.5 = 3 mph.

Felipe walks at 1.5 mph and jogs at 3 mph.


Related Questions

The area of a rectangular patio is 21
1
8
square meters. The width of the patio is 3
1
4
meters. What is the length? Enter your answer as a mixed number in simplest form.

The length of the patio is meters.

Answers

Answer:

6 1/2

Step-by-step explanation:

21 1/8 divided by 3 1/4

Put into improper fractions

169 / 8 divided by 13 / 4

Multiply by the reciprocal

169 / 8 x 4 / 13

= 6 1/2

anyone can have few minutes to help!!

Answers

Answer:

i am not sure

Step-by-step explanation:

2616.95 rounded to the nearest tenth

Answers

2617.0 would be the answer

Helps me please ill give brainliest to the best ! this is supposed to be easy(not for me)

Answers

domain: 0-infinity
range: 1-infinity

Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her
bank account and deposits $40 a week.

Answers

The week in which Evie would have more money than Weston is the 18th week.

Let this equation represent the amount of money Weston would have in x weeks be: $4000 - $30x

Let this equation represent the amount of money Evie would have in x weeks be: $2800 +$40x

The first step is to determine when they would have the same amount of money:

$4000 - $30x = $2800 +$40x

$4000 - $2800 = $40x + $30x

1200 = $70x

x = 1200 / 70 = 17.14 weeks

After 17 weeks, Evie would have more money than Weston.

Here is the complete question: Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her  bank account and deposits $40 a week. When will Evie have more money than Weston (in

weeks)?

A similar question was answered here: https://brainly.com/question/25711114

Help please please please

Answers

Answer:

Step-by-step explanation:

All angles in a triangle add up to equal 180

22x+4=180

22x=176

x=8

20x=?

20(8)=160 degrees

Need help please. High school Geometry

Answers

Answer: last one

Step-by-step explanation:



An object oscillates as it moves along the
X-axis. Its displacement varies with time
according to the equation
x = 4 sin(pi t + pi/6)
where t = time in seconds and
x = displacement in meters
What is the displacement between t= 0
and t = 1 second?

Answers

Using it's formula, it is found that the displacement between t= 0  and t = 1 second is of 0 m.

The equation of motion is given by:

[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]

The displacement between t= 0  and t = 1 second is given by:

[tex]d = x(1) - x(0)[/tex]

Hence:

[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]

[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]

Then:

[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]

The displacement is of 0 m.

You can learn more about displacement at https://brainly.com/question/248054

What is -10 5/6 times 8 1/2

Answers

Answer:

92 1/12      

Step by step explanation:                                

                                                     

Answer:
92 1/12
Step by step

Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6

Answers

Answer:

B: 6x+2

Step-by-step explanation:

hope this helps :)

1. How many small squares are in Step 10?

Image below

A. 10
B. 11
C. 90
D. 110

Answers

Answer:

110 squares

Step-by-step explanation:

= 10 x 11

= 110 small squares.

From the question,

Step one : • • = 1(2) small squares

Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares

• • •

Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares

• • • •

• • • •

 1. What do you think it means when the change is positive? Negative?

2. What do you think it means when the inventory is positive? Negative?

Answers

A positive change simply means that there is more inventory the following day while a negative change means that there is less inventory the following day.

What is an inventory?

An inventory or stock simply means the goods that a business can hold in order to sell or use for its production purpose.

A positive inventory simply means that the company has phones that have not yet been sold. On the other hand, a negative inventory means that the inventory count is below zero.

Learn more about inventory on:

https://brainly.com/question/1180423

QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST

Answers

Answer:

Step-by-step explanation:

Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B

  I need help on 7 and 8 plssssss

Answers

I think the domain and range are infinite
[tex]\huge \cal༆ Answer ༄[/tex]

7. Find domain ~

[tex] \sf - 6 \leqslant x < 5[/tex]

or

[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~

[tex] \sf - 2 <y \leqslant 7[/tex]

or

[tex] \sf x ∈ (-2 , 7][/tex]

Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA

Answers

SAS Because order will always matter and in this case the order will result in Side Angle Side Congruence Theorem

Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)

Answers

The equation of line m, in point-slope form is: y + 3 = 4(x - 1)

Recall:

The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.

Equation of line m is y = 4x + 2

Slope of line m is 4

Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.

To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:

[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]

Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)

Learn more about point-slope equation on:

https://brainly.com/question/24907633

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles. On the Venn diagram, which region(s) represent the intersection of Set A and Set B (Aâ©B)? II I and III I, II, and III I, II, III, and IV.

Answers

The intersection of sets is the point that represents the common point of multiple sets.

The region that represents the intersection of sets A and B is region II.

From the question, we understand that sets A and B have a common set element at II.

This means that region II is the intersection of both sets.

Hence, the region that represents the intersection of sets A and B is II.

Read more about set intersection at:

https://brainly.com/question/6779867

Answer:

II is the answer

Step-by-step explanation:

Edge 2022

given: 4x=12x+32 prove: =-4

Answers

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

Answer:

True, see attached photo, if this helped you please give Brainliest

Step-by-step explanation:

Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?

Answers

Answer:

62.273  

Step-by-step explanation:

sorry it took me a little while to translate i speak only english

Someone help me with this math question?

Answers

Answer:

B and D

Step-by-step explanation:

B. D. Are the correct ones

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

help me with this pls

Answers

Answer:

Yes they both = 125

Step-by-step explanation:

Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee

Answers

Answer:

Charyn's coffee is the dearest.

Difference per pound is $0.96.

Step-by-step explanation:

Price per pound = total price / pounds bought

For Danielle this

is  35 / 6 1/3

= 35 / 19/3

= 35 * 3 / 19

= $5.526.

For Charyn  this

is  60 / 9 1/4

= 60 / 37/4

= 60 * 4 / 37

= $6.486.

Difference = $0.96.

A straight line passes through points (-1, 5) and (2, -4). What is the law of the function represented by this line?​

Answers

Answer:

y = -3x+2

Step-by-step explanation:

See attachment.

Find the slope:

Rise = (-4 - 5) = -9

Run = (2 - (-1)) = 3

Slope(Rise/Run) = -3

Find the y-intercept:

y = mx + b

y = -3x + b

5 = -3*(-1)+b  [Use point (-1,5)

b = 2

====

y = -3x + 2

The slope of a line is −3, and a point on the line is (4,−1).

Question 1
Part A

What is the equation of the line expressed in slope-intercept form?



Answers

Answer:

Y= -3x + 11

Step-by-step explanation:

Y= -3x + 11 (-3x is your slope and 11 is your y intercept)

HELP PLS! Which of the following expressions is equal to x2 +9?
O A. (x-3)2
O B. (x+3)(x - 3
O C. (x+3)(x-6)
O D. (X+3)2

Answers

the answer is B. (x+3) (x-3)

someone who is good a math please answer this today asap will give brainliest

The length of a rectangle is 4 more than its width. The perimeter is 40 feet.

What are the length and width of the rectangle?

Hint: The perimeter of a rectangle is given by the formula P = 2l + 2w.


The width is 8 ft and the length is 12 ft.


The width is 13 ft and the length is 7 ft.


The width is 7 ft and the length is 13 ft.


The width is 12 ft and the length is 8 ft.

Answers

Answer:

the Answer is C

Step-by-step explanation:

We are given

The perimeter is 40 feet and the length of a rectangle is 4 more than its width.

Let the length be " l " and the width be " w ".

As we know that

Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.

[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]

Perimeter = 2 (l + w) unitsArea = lb sq.units

According to the question

Width = w feet Length = w+4 feet

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]

Width of perimeter is = 8 feet

Substituting the value of w–

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]

[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]

Henceforth, The width is 8 ft and the length is 12 ft.

__________________________________________

Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+6y=-42

Answers

Answer:

y = -1/2x + 7

Step-by-step explanation:

3x + 6y = 42.  Put everything except the y term on the right hand side, so subtract 3x from both sides.

6y = -3x + 42.  You want 1y by itself, so divide everything by 6.

y = -1/2x + 7

A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe

Answers

Answer:

cool good me hungry i am kinda hungry

Step-by-step explanation:

Find the x and y-intercepts of y= 2/5x-12​

Answers

y intercept is -12
then find points when going 2 up on the y and 5 over right on the x axis
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