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

Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?

Help please?​

Answers

Answer:

21.25 feet

Step-by-step explanation:

16.5 feet

+14.75

=21.25 feets

Add the two together and you get 31.25

Find the roots 3x^3-13x^2-26x-24

Thank you

Answers

Answer:

31781715561888155919761999

How would I solve this?

Answers

Answer:

2a+3b=4a-3b

a+3=4b

b=3

a=9

Step-by-step explanation:

2a+3b=4a-3b

-2a=-6b

a=3b

a+3=4b

3b+3=4b

3=b

a=9

Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
There are
ways to arrange the 8 blocks.

Answers

I did some research and I think the answer is 255

Which expression is equivalent to (15aºb²c34) (3a166-29cº) for all values of a, b, and
c where the expression is defined?

Answers

The answer is 45a16c34b27

Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help

Answers

Answer:

equation of g(x) is 3-x

f(x)= -x+6 g(x)=f(x+3)

then,,

f(x+3)=-(x+3)+6 =-x-3+6 = 3-x

ie.. g(x)=3-x

✺༒Question༒✺

Refer to attachment

Nonsence answer will get report​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

(i) 64(ii) 729(iii) 121(iv) 625

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

REFER TO ATTACHMENT

I HOPE IT IS HELPFUL

What is the multiplicative rate of change of the
exponential function shown on the graph?
20
2,
81
4
16
0 1
12
4
9
8
9
1.
NI
(-2
. 81)-1,3
X
(0, 1)
1
2
Intro
Done

Answers

Answer:

  (d)  9/2

Step-by-step explanation:

The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.

Here, we have ...

  x = 0, y = 1

  x = 1, y = 9/2

These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.

Estimate the product. Then find the actual product
483 x 9.3
please label the actual product and the estimate

Answers

Actual Product:

4491.9

Estimated Product:

4492

How is it 4492?

4491.9

The 9 is greater than 5 making it go up,

aka, making the 1 turn into a 2.

Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?

Answers

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

Please help it depends on my grade i have a 50 i need to pass this test.do the ordered pairs represent y as a function of x?

(9, 0), (8, 0), (-8, 3), (-3, -3), (-4, 2)
A. No, because there is more than one y-value for the same x-value.
B. Yes, because for every x-value there is only one y-value.
C. No, because there is more than one x-value for the same y-value.
D. Yes, because for every y-value there is only one x-value.

Answers

Answer:

a

Step-by-step explanation:

The relationship between y and x is 9/3 which table represents this relationship and why?

Answers

Answer:

First one

Step-by-step explanation:

For every 1 in x the y goes up by 3

Evaluate.

−[4.1−3(2.2)](−0.2)2+2

What is the value of the expression?

Enter your answer as a decimal in the box.

Answers

64.5

Explanation:

-(4.1-3(2.2))=2.5

2.5÷(-0.2)^2=62.5

62.5+2=64.5

THEREFORE

the answer is 64.5

The solution of the mathematical expressions will be 64.5

What is Number system?

A system of writing to express the number is called number system.

Given that;

The mathematical expressions are,

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Now,

Solve the expression as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Using the BODMAS rule to solve the expressions as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

⇒ - [ 4.1 - 6.6 ] / (-0.2)²  + 2

⇒ - [-2.5] / (-0.2)²  + 2

⇒ 2.5 / 0.04  + 2

⇒ 62.5 + 2

⇒ 64.5

Therefore,

The solution of the mathematical expressions will be 64.5

Learn more about the mathematical expression visit:

brainly.com/question/2164351

#SPJ5

Determine the intercepts of the line

Answers

Answer:

25, -55

Step-by-step explanation:

Intercepts are where the line crosses the x and y axis

x intercept = 25

y intercept = -55

a farm is sold for $457000, which gives a profit of 19%. Find the profit

Answers

Answer:

The profit is 86830

Step-by-step explanation:

To calculate percentage, just multiply the original number by the percent as a decimal. 457000x0.19=86830

Answer:

Profit: $73000

Step-by-step explanation:

Profit = Selling price (SP) - Cost price (CP)

First you need to find the CP

CP = (SP*100)/(100+Percentage profit)

SP= $457000

Percentage profit = 19%

CP= (457000*100)/(100+19)

CP= 45700000/119

CP= $384,033.6134

Profit = 457000-384,033.6134

Profit = $72966.3866

Profit rounded to the nearest 1,000 or  the Thousands Place = $73,000

Hope this helps. Please give me the brainliest?

What value of x satisfies the equation 3x – 2 = 2x + 4?

Answers

Answer:

x = 6

Step-by-step explanation:

3x - 2 = 2x + 4

First, we need only 1 set of x, so I'll subtract the smallest x from the other.

-2x both sides.

x - 2 = 4

Next, add +2 to both sides. (In these types of questions always do the inverse!)

And so your answer is:

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Add  2  to both sides of the equation

3x - 2 = 2x + 4

3x - 2 + 2 = 2x + 4 + 2

2. Simplify  

3x = 2x + 6

3. Subtract 2x from both sides of the Equation

3x - 2x = 2x  + 6 - 2x

4. Simplify

x = 6

True or false: (log x)2 = 2logx. Explain your thinking.

Answers

False
Well we can’t put 2 log x it’s opposite it’s 2 x log

What is the approximate value of t?

Answers

Answer:

8.48

Step-by-step explanation:

36 + 36 = 72

t^2 = 72

t = 6[tex]\sqrt{2}[/tex] = 8.48

Answer: 6

Step-by-step explanation:

James is planning to spend $425 on food for his vacation this summer. This is 34% of his total vacation budget. How much is James' total vacation budget?

Answers

1250$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

solve (2x + 5)= (2x + 3)(2x - 1)

Answers

[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]

Answer:

x = -1± sqrt( 33)

    ----------------------------

             4

Step-by-step explanation:

(2x + 5)= (2x + 3)(2x - 1)

Distribute

2x+5 = 4x^2 +6x-2x-3

Combine like terms

2x+5 = 4x^2 +4x -3

Subtract 2x +5 from each side

0 = 4x^2 +4x-3-2x-5

Combine like terms

0 =4x^2 +2x -8

Using the quadratic formula

a=4  b=2  c=-8

x = -b± sqrt( b^2-4ac)

    ----------------------------

             2a

x = -2± sqrt( 2^2-4(4)(-8))

    ----------------------------

             2(4)

x = -2± sqrt( 4+128)

    ----------------------------

             8

x = -2± sqrt( 132)

    ----------------------------

             8

x = -2± 2sqrt( 33)

    ----------------------------

             8

x = -1± sqrt( 33)

    ----------------------------

             4

the actual height of the building in this scale drawing is 144 feet what is its actual width?

Answers

90 ft.

Set up this proportion:
144/x = 24/5

a/m = b + c i need to make “a” the subject of the formula

Answers

a = bm + cm

hope it helped !

Anita is making balloon bouquets for her school's autumn dance. She uses 3 orange balloons and 2 green balloons in every bouquet.
Pick the diagram that models the ratio in the story.
If Anita uses a total of 15 orange balloons, how many green balloons should she use?

Answers

Answer:

i think 10

Step-by-step explanation:

you multiply 3*5=15 and 2*5=10

i neeeeeeeeeeeeeeeeeeeed hellp fast

Answers

Answer: point E

Step-by-step explanation:

please please look at the picture and see if you can help!!!! i’m struggling so badly!

Answers

Can u take another one it’s blurry

There are 65 seats on a train. 39 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer: 60%

Step-by-step explanation:

39/65 = 3/5 = 60%

Answer:

60%

Step-by-step explanation:

65 seats in total = 100%

divide by 65 on both sides to get 1 seat

1 seat=1.54

times by 39

39 seats=60%

In one vending machine, 5 white milk are sold for every 6 chocolate milk. If 20 white milk are sold, how many chocolate milk are sold?

Answers

Answer:

Its easy

Step-by-step explanation:

[tex]20 = 5 \times 4[/tex]

[tex]20 = 5 \times x \\ x = 4[/tex]

So we know the x is four so it will be like this

[tex]6 \times 4 =x \\ x = 24[/tex]

So there were sold 24 chocolate milks

Hope this helps

Answer:

24

Step-by-step explanation:

because

5____6

20___x

Proportion: x=20*6/5=24

Write an equation for the graph.

Answers

Answer: y=5/3x+3

Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation

Can someone please help me with this question.

How can you tell whether two sets of data, ordered pairs, vary directly?

Answers

Answer:

graph them

Step-by-step explanation:

you can tell if you graph them

If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?

Answers

Answer:

28%

Step-by-step explanation:

(3red+4red)/25candy = 7/25 = 28/100 = 28%

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