Ask question

Ask question

All categories

2 years ago

9

Jake started biking to the coffee shop traveling 8 mph, after some time the bike got a flat so Jake walked the rest of the way,

traveling 4 mph. If the total trip to the coffee shop took 9 hours and it was 60 miles away, how long did Jake travel at each speed

1 answer:

melisa1 [442]2 years ago

8 0

Jake travel to the coffee shop by bike with speed of $8mph$ is $56mile$ and when bike got a flat so Jake walked $4mile$

How to find the speed by biking and walking ?

let $b$ = time spent biking

then $8-b$ =time spent walking

Write distance equation

$dist=speed *time$

So bike distance $+$ walk distance $=60mile$

$8b+4(8-b)=60\\8b+32-4b=60\\4b=60-32\\b=28/4\\\\b=7hrs$

Then $8-7=1 hrs$ spent walking.

For cross check the answer find that actual distance for each

$8(7)=56mi\\4(1)=4mi\\-------\\total distance=60mile$

Learn more about distance and speed here :

brainly.com/question/28045840

#SPJ4

You might be interested in

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago

Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she

Sav [38]

Answer: She went $11$ times during the summer.

Step-by-step explanation:

If Louisa's savings change by $-6$ each time she goes bowling and it went to $-66$ , that means that Louisa went another $11$ times.

$\frac{1}{11}$

So therefore your answer would be 11.

6 0

2 years ago

Use a graphing calculator to find the value of f(x) when x= 3 for each function

MaRussiya [10]

9. f(x)= 1/3x-2
f(3)= 1/3(3)-2
f(3)= 1-2
f(3)= -1

6 0

3 years ago

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

larisa [96]

Answer:

y = - 6x - 57

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 9, - 3) into the partial equation

- 3 = 54 + c ⇒ c = - 3 - 54 = - 57

y = - 6x - 57 ← equation of line

4 0

3 years ago

Simplify 12 to the 16th power over 12 to the 4th power. 1212 124 112 14

Law Incorporation [45]

Greetings from Brasil...

<em />

Here's our problem:

$\large{\frac{12^{16}}{12^{4}}}$

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

<em>division of power of the same base: I repeat the base and subtract the exponents</em>

<em />

Bringing to our problem

12¹⁶ ÷ 12⁴

12¹⁶⁻⁴

<h2>12¹²</h2>

4 0

3 years ago

Read 2 more answers