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Luden [163]
3 years ago
7

Simplify.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

3^4+2\cdot3^4=3^4(1+2)=3^4\cdot3=3^{4+1}=3^5=243

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Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet
omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

<em><u>Solution:</u></em>

The distance is given by formula:

distance = speed \times time

<em><u>Ton travels at 8 feet per second</u></em>

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

<em><u>Bob travels at 10 feet per second</u></em>

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67

Thus time taken before they are 2640 feet is 146.67 seconds

<h3><u>Method 2:</u></h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }

Thus time taken before they are 2640 feet is 146.67 seconds

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Frida applied the steps below to find the product of (–1.2)(–9.4).Step 1: (–1.2)(–9.4) = (–9.4)(–1.2)
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Step-by-step explanation:

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P=x+18

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a=8

b=x

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P=8+x+10

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