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2 years ago

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Suppose that a person with a push mower can mow a large lawn in 2 hours, whereas the lawn can be mowed with a riding lawn mower

in 1 hours. working together, how long will it take to mow the lawn

1 answer:

kipiarov [429]2 years ago

5 0

Working together, the job takes x hours to do.

If a lawn can be mowed with a push mower is 2 hours, then in 1 hour, you do 1/2 of the job.

If the same lawn can be mowed with a riding mower in 1 hour, then in 1 hour you do 1 job.

If the same lawn can be mowed by the two mowers together in x hours, then in 1 hour you get 1/x done.

1/2 + 1 = 1/x

3/2 = 1/x

x = 2/3

They take 2/3 of an hour. 2/3 * 60 min = 40 minutes.

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Convert the following into millilitres a)13 litres

skelet666 [1.2K]

Answer:

13,000ml

Step-by-step explanation:

1000ml = 1L.

We can rewrite this forumla as:

yL x 1000=ml. y=the number of liters.

In this problem, y=13. Thus:

13Lx1000= 13,000ml

I hope this helps!

7 0

2 years ago

Read 2 more answers

PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS

puteri [66]

Answer:

The umbrella will fit in, but there will be a lot of extra room.

Step-by-step explanation:

Remember the Pythagorean theorem:

x^(2) + y^(2) = n^(2)

where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse

In this problem it is given that the sides (legs) are:

38in, and 24in

and diagonally across is 29in

so the hypotenuse is 29in

therefore we can form the equation:

38^(2) + 24^(2) = 29^(2)

without solving it is clear that

38^(2) + 24^(2) > 29^(2)

because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,

but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room

8 0

2 years ago

Read 2 more answers

Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

2 years ago

The sum of 5.5 and twice a number is -10

elena-s [515]

The answer is n= 7.75.

3 0

1 year ago

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What number is 70% of 120?please give the equation with x

MA_775_DIABLO [31]

You can set up this equation as:
$x = 0.7(120)$

Because remember, 70% is equal to 0.7 and x represents the unknown value. So, let's just solve it:
$x = 0.7(120)=84$

So, 70% of 120 is 84.

7 0

2 years ago