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3 years ago

Write the rate as a fraction in lowest terms. 32 letters for 4 minutes

1 answer:

8 0

So let's say that 32 letters will be the numerator and 4 minutes will be the denominator so the fraction would belayed out like this --> 32/4

Now to reduce this to lowest terms, you would just divide both of the numbers by 4 to get 8 letters every 1 minutes or 8/1

I hope this helps!

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Dan, Zack, and Brian were each assigned to give a presentation in Social Studies on Monday. In how many different orders can the

olga55 [171]

Dan zack brian
zack dan brian
brian dan zack
zack brian dan
brian zack dan
dan brian zack
6 different orders
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3 years ago

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. If b = the rate of the boat in still wa

soldi70 [24.7K]

I think C will be the answer

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3 years ago

Read 2 more answers

A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

3 0

3 years ago

help pls im in a timer?! Michael is measuring fabric for the costumes of a school play. He needs 47 feet of fabric. He has 12 1/

amm1812

47-12 1/3= 34 2/3 so the answer is 34 2/3 yards of fabric

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3 years ago

Read 2 more answers

A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water

Alex

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

8 0

3 years ago