What is the ratio of 280/420 in its simplest form?

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

Answer:

1/2 one half

Step-by-step explanation:

1/2 one half

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Explain why 7*8 is not a number sentence

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Because it is really simple if it was an equation then it would be a number sentence since it only has 2 numbers and 1 thing that u are doing it is not a number sentence

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2 years ago

There are nine players on a baseball team. How many different batting lineups are possible

jolli1 [7]

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362,880

Step-by-step explanation:

9*8*7*6*5*4*3*2*1=362,880. You multiply the number of players, but subtract one each time.

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Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour.use the

Verdich [7]

Mike ($3.75): x

Friends ($3.75): 3x

Mike + Friends ≤ 25

3.75(x) + 3.75(3x) ≤ 25

3.75x + 11.25x ≤ 25

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x ≤ 1 $\frac{2}{3}$

Answer: they can rent the paddleboards for 1 hour 40 minutes

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3 years ago

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume t

sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

$\frac{dy}{dt}\ \alpha\ y(1-y)$

$\frac{dy}{dt}=ky(1-y)$

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads

$\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\$