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guapka [62]
3 years ago
7

3. Which expression is equivalent to 1+2(x-1)

Mathematics
1 answer:
padilas [110]3 years ago
8 0

Answer:

<em>2x - 1</em>

Step-by-step explanation:

<u>Equivalent Algebraic Expressions </u>

One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.

The expression:

1 + 2(x - 1)

Can be modified by applying the following operations:

Multiplying the constant by the contents in parentheses:

1 + 2x - 2

Collecting like terms:

-1 + 2x

Or, equivalently:

2x - 1

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The gas tank of your car is 40% full. There are 8 gallons of gas in the tank. What is the capacity of the gas tank?
andreyandreev [35.5K]
Percentage by which the gas tank of the car is full = 40%
Amount of gas in the gas tank = 8 gallons
Let us assume the capacity of the gas tank = x gallons
Then
40% * x = 8
(40/100) * x = 8
4x/10 = 8
4x = 8 * 10
4x = 80
x = 80/4
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So the total capacity of the gas tank of the car is 20 gallons. I hope the procedure is clear to you.
7 0
3 years ago
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Find the least number by which 243 must be divided to make it a perfect<br> square.
yaroslaw [1]

Answer:

Step-by-step explanation:

  • Well I hate to break the news but 243 is not a perfect square. I'll work you through it, 243 is not a perfect square because it is not an even number. an even number must end in (0,2,4,6,8)
  • Step one. Find the square root. the square root of 243 is <em>15.588. </em>
  • Step two Is it a perfect square. No 243 just cant be a perfect square.
  • Hope this helped :)
4 0
3 years ago
HELP<br> PLEASE HELP ME ON THIS ASAP WITH STEP BY STEP JUST PLEASE HELPPP
Nastasia [14]

Answer:

  1)  16

  2a)  100 -a -2b

  2bi)  (100 -a -2b)/4

  2bii)  11

Step-by-step explanation:

1. Put the numbers where the corresponding variables are and do the arithmetic.

  (2(1) +3(-2))^2 = (2 -6)^2 = (-4)^2 = 16

__

2. The pieces cut from the wire have the lengths a, b, b. The sum of those lengths is a+b+b = a+2b.

2a. The remaining length is what is left when the total of cut pieces is subtracted from the original amount:

  100 -(a+2b) = 100 -a -2b

2bi. The perimeter of the square is the amount in part (2a). A square has 4 sides of the same length, so each side has a length that is 1/4 of the perimeter. The side length is ...

  (100 -a -2b)/4 . . . . length of one side of the square

2bii. Fill in the given values for "a" and "b" and do the arithmetic.

  (100 -24 -2(16))/4 = (76 -32)/4 = 44/4 = 11 . . . one side of the square

3 0
3 years ago
Need help pls and thank you
Ganezh [65]
The answer is b. The others don’t make sense
7 0
3 years ago
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Whats pi times 56368
enyata [817]

Answer: 176,995.52

Step-by-step explanation:

Pi equals 3.14, so 3.14 x 56,368 = 176,995.52

5 0
3 years ago
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