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2 years ago

A bus makes 28 stops every 2 hours how many stops does it make in 3 hours

Mathematics

2 answers:

Volgvan2 years ago

7 0

Answer: 42

Step-by-step explanation:

2hs=28---[1]

1h=28/2=14---[2]

adding both equations:-

2hs+1h=28+14

3hs=42

denis-greek [22]2 years ago

6 0

28÷2＝14
The bus makes 14 stops every hour
14×3＝42
The bus makes 42 stops in 3 hours

Hope my answer helped u :)

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The population of bacteria in a culture doubles every 14 hours. How long will it take for

Snezhnost [94]

Answer: 22 hours 11 minutes

<u>Step-by-step explanation:</u>

$P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs$

$22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes$

4 0

2 years ago

Find the equation of the line that passes through (1, -1) and is parallel to

daser333 [38]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1$

8 0

2 years ago

Please help me on this question

Mice21 [21]

8+2m^3 is the answer. Hope it help!

6 0

3 years ago

Read 2 more answers

Rozalie spent $26 at a parking garage in downtown Orlando. The garage charged a base free of $7.50 for the first hour and a hour

bagirrra123 [75]

ANSWER : Rozalie spent 6.73 hours at the garage

rate of change = $2.75
base fee = $7.50

set up your equation:
2.75h + 7.5 = 26
($2.75/hour plus the base fee of $7.50 equals the total amount spent, $26)

Now just solve for h

2.75h + 7.5 = 26
2.75h = 18.5
h = 6.727273 (rounded)
h = 6.73

So the answer would be Rozalie spent about 6.73 hours at the garage.

6 0

2 years ago

(1 - 5q ) +2 (2.5q +8 )

VikaD [51]

Distribute
remember
a(b+c)=ab+ac
2(2.5q+8)=2(2.5q)+2(8)=5q+16

1-5q+5q+16
1+0+16
17

5 0

3 years ago