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2 years ago

6

Chip begins his ride slowly but then stops to talk with some friends. After a few minutes, he continues his ride, gradually incr

easing his speed

1 answer:

lapo4ka [179]2 years ago

6 0

What is the question? I don't understand please explain?

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it takes max 1.8 hours to walk home from work at a rate of 3.5km/h. how long would it take max to cover the same distance walkin

NikAS [45]

Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

<h3><u>Solution:</u></h3>

Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

We have to find time taken by Max to cover the same distance walking at 4.2 km/h

<em><u>The relation between speed and time is given as:</u></em>

$speed = \frac{distance}{time}$

<em><u>CASE 1:</u></em>

It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

Let us first find the distance covered

Time taken = 1.8 hours and speed = 3.5 km/hr

$3.5 = \frac{distance}{1.8}\\\\distance = 3.5 \times 1.8 = 6.3$

Hence distance covered is 6.3 km

<em><u>Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr</u></em>

$4.2 = \frac{6.3}{time taken}\\\\time taken = \frac{6.3}{4.2} = 1.5$

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

3 0

2 years ago

In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear

professor190 [17]

Answer:

$r(t)=100,000t+600,000$

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{2,000,000-1,000,000}{14-4}$

$m=\frac{1,000,000}{10}$

$m=100,000\frac{readers}{year}$

step 2

Find the equation of the line in point slope form

$r-r1=m(t-t1)$

we have

$m=100,000\\point\ (4,1,000,000)$

substitute

$r-1,000,000=100,000(t-4)$

step 3

Convert to slope intercept form

$r=mt+b$

isolate the variable r

$r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000$

step 4

Convert to function notation

$r(t)=100,000t+600,000$

6 0

2 years ago

ian has a bag of fruit chews. 60/100 of fruit chews are cherry or grape. if 25/100 of fruit chews are cherry what fraction of th

padilas [110]

If the total of cherry or grape is 60/100, then 60 (total of grape and cherry)-25 (cherry)= 35 (grape)

So 35/100 grape fruit chews

3 0

2 years ago

Read 2 more answers

Which model shows 64−−√3=4 ?

Kipish [7]

Answer:

Step-by-step explanation:

model C

7 0

2 years ago

A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what

Naily [24]

To solve this problem, all we have to do is to thoroughly analyze the situation step by step.

First let us work on the remaining 10 gallons of water in the tank. We are given that 2 / 3 of the water initially in the tank leaked out. Therefore this means that we are left with 1 / 3 the original amount of water which is 10 gallons, hence:

(1 / 3) Vi = 10 gallons

where Vi is the initial volume of water inside the tank, calculating for Vi:

Vi = 3 (10 gallons)

Vi = 30 gallons

We are also given that this initial volume of water is just 3 / 4 of the total capacity of the tank, therefore:

(3 / 4) Vc = Vi

where Vc is the volume capacity of the tank, calculating for Vc:

Vc = 4 Vi / 3

Vc = 4 (30 gallons) / 3

Vc = 40 gallons

Answer:

<span>Capacity of the fish tank is 40 gallons</span>

3 0

2 years ago