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Andreas93 [3]
2 years ago
8

Solve for 'x' in the following equation, explaining each step. 3^ (-3x+7) = 3^ (7x-13)

Mathematics
1 answer:
Yanka [14]2 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

In order to have the two sides of the equation be equal, the exponents must equal.

-3x + 7 = 7x - 13

Add 3x to both sides.

7 = 10x - 13

Add 13 to both sides.

20 = 10x

Divide by 10.

2 = x

Check:

3^(-3•2+7)=3^(7•2-13)

3^1 = 3^1

3 = 3

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The product of 10 and 2 more than a number is 240. Find the number.
Maurinko [17]

Answer:

The number is 220

Step-by-step explanation:

Let n represent the number

10(2) + n = 240

20 + n = 240

240 - 20 = 220

n = 220

8 0
3 years ago
Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total
Grace [21]
11
If you replace the x with 11, the new equation would be 10+5(11)=65. First, multiply 5 and 11, your answer would be 55, then add the ten, you would get 65. Which makes the equation true, because 65=65.
I hope this helps
If you have any questions on my answer please feel free to ask :)
3 0
3 years ago
Read 2 more answers
A rectangular box 4 meters long, 3 meters wide and 2 meters tall. On the box is a cat, and the box is floating in water such tha
Vikentia [17]

Answer:

Mass of the cat  = 16800kg

Step-by-step explanation:

The volume of the box = its length * its breath * its height- 4m × 3m × 2m = 24m^{3}

The standard density of water is 1000 Kg/m^{3}

By Archimedes principle, the mass of a body  floating body is equivalent to the mass of the volume liquid displaced

in this case we have

Mass of water displaced = Density of the water × Volume of the water  displaced =   1000 Kg/m^{3} × 24m^{3} = 24000kg

The mass of the box = Box density × Box volume = 24m^{3} × 300kg/m^{3} = 7200 kg Hence the mass of water displaced = mass of the foating box + mass of th cat

24000kg =  mass of cat +7200kg

mass of cat = 24000kg - 7200kg = 16800kg

8 0
4 years ago
Represent the geometric series using the explicit formula.<br> 2. -8, 32, -128,
Dvinal [7]

Answer:

it is in the form of- a, ar, ar^2,ar^3, etc

and a= 2

      r= -4

Have a nice day!

6 0
3 years ago
I need the steps to this problem, please!
FinnZ [79.3K]
Hello Ashley!

This is an isosceles triangle. How do we know? Well, the two little bar they put means that it is isosceles. When you add all the angles together, you MUST find them equal to 180. Another you need to keep in mind is that the angle that are face to face with each other are ALWAYS equal.

Too much talking...we gonna solve the problem.

x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 108/2
x= 54
That's the answer .

---------------------
What did we say earlier? We said that when we add all the angles together we MUST find them equal to 180. So, we gonna replace x by 54

54 + 54 + 72  = 180
180 = 180
So.. yes we got it right!

54 is the correct answer.

Good luck with your studies!



5 0
3 years ago
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