All categories

3 years ago

To collect data on the signal strengths in a neighborhood, Briana must drive from house to house

Mathematics

1 answer:

Arisa [49]3 years ago

7 0

Answer: Working together, they can complete the task in 7 hours and 12 minutes.

Step-by-step explanation:

Ok, Briana needs 12 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/12hours = 1/12 task per hour.

This means that she can complete 1/12 of the task per hour.

Henry needs 18 hours to complete the task, then his ratio is:

1 task/18 hours = 1/18 task per hour.

This means that he can complete 1/18 of the task in one hour.

If they work together, then the ratios can be added:

R = 1/12 + 1/18 = 18/(12*18) + 12/(18*12) = 30/216

we can reduce it to:

R = 15/108 = 5/36

So, working together, in one hour they can complete 5/36 of the task, now we can find the number of hours needed to complete the task as:

(5/36)*x = 1 task

x = 36/5 hours = 7.2 hours

knowing that an hour is 60 minutes, then 0.2 of an hour is 60*0.2 = 12 minutes.

then x = 7 hours and 12 minutes.

You might be interested in

Y=x(sin(x)), 0 ≤ x ≤ 2π?

Lemur [1.5K]

Careful; (dy/dx)^2 = x^2 cos^2(x) + 2x sin x cos x + sin^2(x).

So, the arc length equals 
∫(x = 0 to 2π) √[1 + (x^2 cos^2(x) + 2x sin x cos x + sin^2(x))] dx 
= ∫(x = 0 to 2π) √[1 + x^2 cos^2(x) + x sin(2x) + sin^2(x)] dx, via double angle identity. 

Let Δx = (2π - 0)/10 = π/5. 
Using Simpson's Rule with n = 10, this integral approximately equals 
((π/5)/3) * [f(0) + 4 f(π/5) + 2 f(2π/5) + 4 f(3π/5) + 2 f(4π/5) + 4 f(π) + 2 f(6π/5) + 4 f(7π/5) + 2 f(8π/5) + 4 f(9π/5) + f(2π)], 

where f(x) = √[1 + x^2 cos^2(x) + x sin(2x) + sin^2(x)]. 
------- 
I hope this helps!

4 0

4 years ago

For the given functions f and g find the composition:f(x)=x^2+6x-2 g(x)=x-6

Snowcat [4.5K]

-38+6x evaluate the power calculate the difference

7 0

3 years ago

Would anyone help With these questions it's the last one I don't know how to do them 1,2,3,4,5 and 6

Shtirlitz [24]

Answer:

See below

Step-by-step explanation:

1. Use x to designate the number of hours worked.

Plumber 1 = 35(x) + 25

Plumber 2 = 40(x)

Now you need to find when these two equations are equal to each other.

35(x) + 25 = 40(x)

Solve for x.

25 = 40x - 35x

25 = 5x

5 = x

So when the service call equals 5 hours, both plumbers will charge the same amount of money.

2. Use x to designate the number of months.

Center 1 = 30x

Center 2 = 22x + 80 initiation fee

Now you need to make the two equations equal to each other and solve for x.

30x = 22x + 80

30x - 22x = 80 or 8x = 80

x = 10 months

3. Use x to designate the pounds of the package

Shipper 1 = 14 + 2x

Shipper 2 = 20 + 1.5x

Make the two equations equal to each other.

14 + 2x = 20 + 1.5x

2x - 1.5x = 20 - 14

0.5x = 6

x = 12 pounds

4. Deanna $15 using $0.75 per game. This means she can play a total of 20 games before having $0.

Lise $13 using $0.50 per game. This means she can play a total of 26 games before having $0.

So since both end up with $0, you can see that Deanna would play 20 games and Lise would play 26 games.

5. Use x to designate the call time length.

Hotel 1 = 1 + 0.80x

Hotel 2 = 2 + 0.75x

Make both equations equal to each other.

1 + 0.8x = 2 + 0.75x

0.8x - 0.75x = 2 - 1

0.05x = 1

x = 20

6. Use x to designate semesters.

Duke = 22 + 6x

Kila = 4 + 12x

22 + 6x = 4 + 12x

22 - 4 = 12x - 6x

18 = 6x

3 = x semesters

6 0

3 years ago

2.5 miles is equivalent to 4km

rosijanka [135]

That is not true it is false

8 0

4 years ago

Solve for t. You must write your answer in fully simplified form. −19=7t

nikitadnepr [17]

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

7 0

3 years ago

Read 2 more answers