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otez555 [7]
3 years ago
9

Solve the equation x-89=7(2x+3)-6

Mathematics
2 answers:
ohaa [14]3 years ago
5 0

Answer: x=-8

<u>Simplify both sides of the equation</u>

<u></u>x+-89=(7)(2x)+(7)(3)+-6(Distribute)\\x+-89=14x+21+-6<u></u>

<u></u>x-89=(14x)+(21+-6) (Combine Like Terms)

x-89=14x+15

<u>Subtract 14x from both sides</u>

<u></u>x-89-14x=14x+15-14x\\-13x-89=15<u></u>

<u></u>

<u>Add 89 to both sides</u>

<u></u>-13x-89+89=15+89\\-13x=104<u></u>

<u></u>

<u>Divide both sides by -13</u>

<u></u>-13x/-13=104/-13\\x=-8<u></u>

natali 33 [55]3 years ago
3 0

Answer:

x= -8

Step-by-step explanation:

x-89=7(2x+3)-6 distribute 7

x-89=14x+21-6 add like terms

-13x=104 divide

x=-8

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Find the slope of the line passing through the points (-6, 1) and (-7,5).
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Rory's battery was full at 6:00 a.M, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three o
Taya2010 [7]

Complete question:

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.

12:00 p.m.

3:00 p.m.

5:00 p.m.

8:00 p.m.

11:00 p.m.

The graph is attached

Answer:

3:00 p.m

5:00 p.m

11:00 p.m

Step-by-step explanation:

From the graph, there are rise times, fall times and there are times the movement is steady (no rise or fall).

The rise time represents the time the phone was plugged. The fall time represents when the charger has been unplugged so the battery level starts depreciating. When it is constant, it means the battery level is at 100 but the charger is still connected to the phone.

We are told at initial condition, time was 6 a.m (t = 0). To get the exact time, we are to add the initial condition, i.e 6

From the graph, the times the phone could have been plugged are 8:00 to 12:00 hrs and 16:00 to 20:00 hrs.

Converting from 24 hr to 12 hr time, we have:

6 + 8hrs = 14:00 = 2:00 p.m

6 + 9hrs = 15:00 = 3:00 p.m

6 + 10 hrs = 16:00 = 4:00 p.m

6 + 11 hrs = 17:00 = 5:00 p.m

6 + 12 hrs = 18:00 = 6:00 p.m

6 + 16 hrs = 22:00 = 10:00 p.m

6 + 17 hrs = 23:00 = 11:00 p.m

6 + 18 hrs = 00:00 = 12:00 am

6 + 19 = 1 : 00 = 1:00 a.m

6 + 20 = 2:00 = 2:00 a.m

From the options given in the question, we have:

3:00 p.m; 5:00 p.m; 11:00 p.m

Therefore, times could Rory's phone have been plugged into the charger are:

3:00 p.m

5:00 p.m

11:00 p.m

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Answer: P=28 meters

Step-by-step explanation:

P=4 × a ⇒ a is the side length

P=4 × 7

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