Answer:
Step-by-step explanation:
Given the following expression:
You need to apply the Product of powers property, which states that:
Then, you can rewrite the expression as following:
The next step is to descompose 27 into its prime factors:
Now you must substitute inside the given root. Then:
You need to remember that, according to Radicals properties:
Therefore, the final step is to apply this property in order to finally get the expression is its simplest form. This is:
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Answer:
z=-4
Step-by-step explanation:
Simplify 10 + 2z + 2z to 10 + 4z
Add 10 to both sides
Simplify 10 + 4z + 10 to 4z + 20
Subtract 4z from both sides
Simplify -z - 4z − z− 4z to -5z − 5z.
Divide both sides by -5 − 5
Simplify 20 / 5 to 4
Answer:
3 tents hold 2 campers
Step-by-step explanation:
The given relations can be expressed as a single equation in the number of 2-camper tents.
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Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...
2x +4(6 -x) = 18
-2x +24 = 18
-2x = -6 . . . . . . subtract 24
x = 3 . . . . . . . divide by -2
Exactly 3 tents hold 2 campers.
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<em>Additional comment</em>
The other 3 tents hold 4 campers.
Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.