What is r<img src="https://tex.z-dn.net/?f=%20V%3D%5Cpi%20%20r%5E%7B2%7D%20h" id="TexFormula1" title=" V=\pi r^{2} h" alt=" V=\

A town doubles its size every 98 years. If the population is currently 600, what will the population be in 392 years?

eimsori [14]

9514 1404 393

Answer:

9600

Step-by-step explanation:

392 years is enough time for 392/98 = 4 doublings of the population. If the population doubles 4 times, it will be 2^4 = 16 times its present value

16 · 600 people = 9600 people . . . in 392 years

8 0

3 years ago

During a football game a concert in stenciled family three hamburgers and two white dogs for a total of $13 and another family t

jeka94

Answer:

Price of hamburgers = $2

Price of white-dogs = $3

Step-by-step explanation:

Let

The number price of hamburgers be x

The number price of white-dogs be y

Then the first family buys 3 hamburgers and 2 white -dogs for $13

3x + 2y = 13-----------------------------(1)

Another first family buys 2 hamburgers and 5 white -dogs for $16

2x + 5y = 16----------------------------(2)

To solve let us multiply eq(1) by 2 and eq(2) by 3, we get

6x + 4y = 26-----------------------------(3)

6x + 15y = 48----------------------------(4)

subracting (3) from (4)

6x + 15y = 48

6x + 4y = 26

(-)

-------------------------

11y = 22

---------------------------

$y =\frac{22}{11}$

y =2

Now substituting the value of y in eq(1),

3x + 2(2) = 13

3x + 4 = 13

3x = 13-4

3x = 9

x = $\frac{9}{3}$

x =3

4 0

4 years ago

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n

miskamm [114]

Time = 3 miles / (20 mph - wind velocity)
time = 2 miles / (20 mph + wind velocity)

3 miles / (20 mph + wind velocity) = 2 miles / (20 mph - wind velocity)

3/2 = (20 mph + wind velocity) / (20 mph - wind velocity)

1.5 = (20 mph + wv) / (20 mph -wv)

30 mph -1.5wv = 20 mph -wv

10 mph = 2.5 wv

wind velocity = 4 mph

3 0

3 years ago

Read 2 more answers

Every day for 5 days Jack and Jill went walking. Each day Jack walked 4/5 of a mile and Jill walked 2/3 of a mile. At the end of

DanielleElmas [232]

$\bf \stackrel{\textit{Jack for 7 days}}{7\left( \cfrac{4}{5} \right)}\implies \cfrac{28}{5}~\hspace{10em}\stackrel{\textit{Jill for 7 days}}{7\left( \cfrac{2}{3} \right)}\implies \cfrac{14}{3}
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{28}{5}-\cfrac{14}{3}\implies \stackrel{\textit{LCD of 15}}{\cfrac{(3)28-(5)14}{15}}\implies \cfrac{84-70}{15}\implies \cfrac{14}{15}$

7 0

3 years ago

Mark got 19 presents for his birthday.His friend got 11.How many more did Mark receive?

lara [203]

Mark received 8 more.

4 0

4 years ago

Read 2 more answers