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Andrei [34K]
3 years ago
8

In a crowd, Ashely counts 20 people standing in a 5 ft by 5 ft block. Based on the information, how many people would be standin

g in a 40 ft by 40 ft block ?
Mathematics
1 answer:
lora16 [44]3 years ago
6 0

Answer:

160 people

Step-by-step explanation:

If there are 20 people on a 5 by 5 block and 5 goes into 40 8 times. Then you multiply 20 by 8 to get 160.

Hope this helps :)

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Is 7.787887888… a rational number? PLEASE ANSWER ASAP!! WILL GIVE BRAINLIEST!!!!!
Olenka [21]

Answer:

yes  7 787887888/1,000,000,000

Step-by-step explanation:

8 0
3 years ago
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Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isot
Andrews [41]

Answer:

The approximate difference in the half-lives of the isotopes is 66 days.

Step-by-step explanation:

The decay of an isotope is represented by the following differential equation:

\frac{dm}{dt} = -\frac{t}{\tau}

Where:

m - Current mass of the isotope, measured in kilograms.

t - Time, measured in days.

\tau - Time constant, measured in days.

The solution of the differential equation is:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where m_{o} is the initial mass of the isotope, measure in kilograms.

Now, the time constant is cleared:

\ln \frac{m(t)}{m_{o}} = -\frac{t}{\tau}

\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }

The half-life of a isotope (t_{1/2}) as a function of time constant is:

t_{1/2} = \tau \cdot \ln2

t_{1/2} = -\left(\frac{t}{\ln\frac{m(t)}{m_{o}} }\right) \cdot \ln 2

The half-life difference between isotope B and isotope A is:

\Delta t_{1/2} = \left| -\left(\frac{t_{A}}{\ln \frac{m_{A}(t)}{m_{o,A}} } \right)\cdot \ln 2+\left(\frac{t_{B}}{\ln \frac{m_{B}(t)}{m_{o,B}} } \right)\cdot \ln 2\right|

If \frac{m_{A}(t)}{m_{o,A}} = \frac{m_{B}(t)}{m_{o,B}} = 0.9, t_{A} = 33\,days and t_{B} = 43\,days, the difference in the half-lives of the isotopes is:

\Delta t_{1/2} = \left|-\left(\frac{33\,days}{\ln 0.90} \right)\cdot \ln 2 + \left(\frac{43\,days}{\ln 0.90} \right)\cdot \ln 2\right|

\Delta t_{1/2} \approx 65.788\,days

The approximate difference in the half-lives of the isotopes is 66 days.

4 0
3 years ago
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Please help me plz I need help
oksian1 [2.3K]

Answer:

a) Speed of the cyclist is (2.75/0.4) = <u>6.875 miles per hour</u>.

b) It will take (5.5/6.875) = <u>0.8 hours</u> to travel 5.5 miles at this rate.

  • Remember: Speed=Distance/Time
5 0
3 years ago
In the election, 80% of voters in a town voted for a new playground. If 2000 people voted for the playground, how many voters we
lyudmila [28]

Answer:

1,600

You find the answer by putting 80% into a decimal (0.80) and multiply that by 2,000.

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3 years ago
Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2
anzhelika [568]

Answer:

600 ft³

Step-by-step explanation:

Given the scale factor 1:4, we know that the smaller prism will be 4 times smaller than the larger prism.

We can calculate the volume of the smaller prism by dividing 2,400 by 4.

2,400/4 = 600

7 0
4 years ago
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