What is 5.704 expressed to two decimal places?

Wilma can mow a lawn in 60 minutes. Rocky can mow the same lawn in 40 minutes. How long does it take for both Wilma and Rocky to

UNO [17]

<h3>Answer: 24 minutes</h3>

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Explanation:

Let's say the lawn is 120 square feet. I picked 120 as it is the LCM (lowest common multiple) of 60 and 40.

Since Wilma can mow the lawn in 60 minutes, her rate is 120/60 = 2 sq ft per minute. In other words, each minute means she gets 2 more square feet mowed. Rocky can do the full job on his own in 40 minutes, so his rate is 120/40 = 3 sq ft per minute.

Their combined rate, if they worked together (without slowing each other down), would be the sum of the two rates. So we get 2+3 = 5 sq ft per minute as the combined rate. The total time it would take for this 120 sq ft lawn is 120/5 = 24 minutes.

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Another approach

Wilma takes 60 minutes to do the full job, so her rate is 1/60 of a lawn per minute. Rocky's rate is 1/40 of a lawn per minute. Their combined rate is

1/60 + 1/40 = 2/120 + 3/120 = 5/120 = 1/24 of a lawn per minute

x = number of minutes

(combined rate)*(time) = number of jobs done

(1/24)*x = 1

x = 1*24

x = 24 is the time it takes if they worked together without getting in each other's way.

Effectively, we are solving the equation

1/A + 1/B = 1/C

with

A = time it takes Wilma to do the job on her own

B = time it takes Rocky to do the job on his own

C = time it takes the two working together to get the job done

The equation above is equivalent to C*(1/A + 1/B) = 1 or (1/A + 1/B)*C = 1.

So basically you find the value of 1/A + 1/B, then find the reciprocal of this to get the value of C.

3 0

3 years ago

How do you check is the equation is a extraneous solution pr not?

vampirchik [111]

We can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.

<h3>What is the extraneous solution?</h3>

In mathematics, an extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem, such as the answer to an equation.

As we know from the definition the extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem.

Let's suppose the equation is:

$\rm \sqrt{x+4} = x -2$

Squaring both the sides:

x + 4 = (x - 2)²

x + 4 = x² - 4x + 4

x² -5x = 0

x = 0 or x = 5

Checking for the solution by plugging in the equation;

$\rm \sqrt{5+4} = 5 -2$

3 = 3

$\rm \sqrt{0+4} = 0 -2$

2 ≠ -2

The solution x = 0 shows extraneous solution.

Thus, we can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.

Learn more about the extraneous solution here:

brainly.com/question/14054707

#SPJ1

6 0

2 years ago

30 POINTS!!!!

pshichka [43]

He is at sea level 43.5 i am pretty sure

3 0

2 years ago

Read 2 more answers

Helppppppppppp me plz

Olin [163]

Hi there!

Let's solve this problem step by step!
A bottle contains 70% alcohol. First we need to convert this percentage into a decimal. To do this, we only need to divide by 100.

70 % = 70 / 100 = 0.7

The entire bottle contains 500 ml of solution. To find the amount of alcohol in the solution, we must multiply our (just found) decimal by the total content of the bottle.

0.7 * 500 ml = 350 ml

Therefore there are 350 millimetres of alcohol in the solution.
~ Hope this helps you!

6 0

2 years ago

Read 2 more answers

X-82.5=134 solve for x

Lilit [14]

Answer:

X=216.5

Step-by-step explanation:

3 0

3 years ago