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antoniya [11.8K]
2 years ago
7

Which equation has infinitely many solutions?

Mathematics
1 answer:
Maslowich2 years ago
8 0

Answer:

The equation 2 x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions.

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Your​ school's talent show will feature 12 solo acts and 3 ensemble acts. The show will last 102 minutes. The 6 solo performers
Andrei [34K]

Answer:

each solo act will last 5 minutes and each ensemble act will last 14 minutes

Step-by-step explanation:

In the first show, we are told that there are 12 solo acts and 3 ensemble acts.

Now since each solo act lasts x​ minutes, and each ensemble act lasts y minutes and the show lasts 102 minutes, thus we have;

12x + 3y = 102 - - - - eq1

In the second show which lasts 72 minutes, we are told that there will be 6 solo acts and 3 ensemble acts.

Thus,we have;

6x + 3y = 72 - - - - eq2

Now, let's find x and y by subtracting eq 2 from eq1 to give;

6x = 30

Divide both sides by 6 to give;

x = 5

Put 5 for x in eq2;

6(5) + 3y = 72

30 + 3y = 72

3y = 72 - 30

3y = 42

y = 42/3

y = 14

Thus, each solo act will last 5 minutes and each ensemble act will last 14 minutes

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3 years ago
The population of a bacteria after x number of hours is modeled by the expression 1 , 000 ( 0 . 75 ) x . What is the rate of dec
DerKrebs [107]

Answer:

A. 25%

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If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%

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Step-by-step explanation:

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