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3 years ago

11

Together, Tim and Allen worked 22 hours on a project. Allen worked one more than twice the amount of hours Tim worked. How many

hours did each boy work?

1 answer:

erastova [34]3 years ago

3 0

Answer:

should be 43 hours

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Can you please help me?

gavmur [86]

If the amount of students who listed basketball as their favorite sport is x, we have 3 times x - 17 = 487 due to that soccer has 17 fewer players than 3 times basketball. Adding 17 to both sides, we get 3*x=504 and by dividing both sides by 3, we get x=168

8 0

3 years ago

Algebra 2, please help! thank you

Hunter-Best [27]

Answer:

-2pi/3

Step-by-step explanation:

y = 2 cos 3(x + 2π∕3) +1

y = A sin(B(x + C)) + D

amplitude is A

period is 2π/B

phase shift is C (positive is to the left)

vertical shift is D

We have a shift to the left of 2 pi /3

7 0

3 years ago

Read 2 more answers

Carlos can ride his bike 30 km in 2 hours. At the same rate, how far can he ride in 7 hours?

lozanna [386]

He can ride his bike 105 km. 30/2 is 15. 15*7 is 105.

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3 years ago

Read 2 more answers

This question is WORTH 15 POINTS

masha68 [24]

3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
3(x² - 15x + 4x - 60) = 0
3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0 <u> + 15 + 15</u>
<u>    + 12 + 12</u>    x = 15
   <u>3x</u> = <u>12</u>
      3     4
   x = 3

The answer is equal to H.15 and E. 4.

8 0

3 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that $P(10) = 2P(0)$ . We use this to find r.

$P(t) = P(0)e^{rt}$

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

6 0

3 years ago