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3 years ago

If a city with a population of 50,000 doubles in size every 16 years, what will the population be 32 years from now?

1 answer:

7 0

Pretty sure its 200,000 because, 16 goes into 32 twice and its doubles 50,000 every 16 years, so it would be 50,000 multiplied by 4 since it doubles . and that would give you 200,000. (it was hard explaining this)

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TEA [102]

C) 3, 4, 5

any triangle with that ratio will make a right triangle

3 0

3 years ago

Find the distance between each pair of points.

scoundrel [369]

Answer:

(-1, -1) and (-4,5)

Distance between them ,

$\sqrt{ {( - 4 + 1)}^{2} + {(5 + 1)}^{2} }$

$= \sqrt{ {( - 3)}^{2} + {(6)}^{2} }$

$= \sqrt{9 + 36} = \sqrt{45} = 3 \sqrt{5}$

Option B

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3 years ago

A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and

Ugo [173]

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

5 0

3 years ago

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Mandarinka [93]

Answer:

A 5 is the mode of the data

3 0

3 years ago

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Need help with homework independent practice lesson 5 negative exponents

adell [148]

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3 years ago