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mojhsa [17]
2 years ago
13

12x - 84 = 4x + 12. What does X equal?

Mathematics
2 answers:
Vesnalui [34]2 years ago
8 0

Answer:

12

Step-by-step explanation:

To solve the problem, you have to leave the x alone,

To do so, you have to add 84 on each side

12x = 4x + 96

Then, subtract 4x on each side,

8x = 96

Then divide each side by 8, so

x = 12

Hope it helps!!

Let me know if I'm wrong or you need help on anything else!!

Also, if you're okay with it, can you plz make be brainliest?

fredd [130]2 years ago
6 0

Answer:

x = 12

Step-by-step explanation:

12x - 84 = 4x + 12

We want to move x to one side and all other values to the other side of the equal sign

Add 84 to both sides of the equation

12x - 84 + 84 = 4x + 12 + 84

Simplify

12x = 4x + 96

Subtract 4x from both sides

12x - 4x = 4x - 4x + 96

Simplify

8x = 96

Divide both sides by 8

8x /8 = 96/8

Simplify

x = 12

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A train left for Miami, and 6 hours later, a car traveling 79 mph tried catching up to the train. After 7 hours, the car caught
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Niklas takes a dose of 252525 micrograms (\text{mcg})(mcg)left parenthesis, m, c, g, right parenthesis of a certain supplement e
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Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1/64 of the supplement remains in the body after each day. How much of the supplement is in Niklas's body immediately after the 12th dose? Round your final answer to the nearest hundredth.

Answer:

The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size.

Given that :

The supplement has a half life of 4 hours, this implies that  it decay to half of its size every 4 hours.

∴ there are 6 stages of division in a day.

i.e

\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2} =\dfrac{1}{64}

The amount of the supplement in Niklas body after the first dose (first day) can be calculated as:

=  \dfrac{1}{64} × 25

= 0.390625 micrograms

It is said that he used the supplement daily for 12 days (12th dose),

As such ; we can estimate the amount of the supplement that is in his body immediately after the 12th dose; which is calculated as:

amount in his body per day × number of period for complete decay

= 0.390625 × 11

= 4.296875

≅4.30 micrograms

= 430 micrograms to the nearest hundreth

The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth

3 0
2 years ago
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