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vladimir2022 [97]
3 years ago
12

What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) true?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

You start by

- distributing

- combine like terms

- use the subtraction property of equality

- use the addion property of equality

-divide by 5

The answer is x=0.2 or 1/5

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Fill in the missing digits to find the base 2 representation of 59.
Anna007 [38]

Answer:

111011

Step-by-step explanation:

Following the binary rule we can find the base 2 presentation of the decimal number 59.

To find the binary equivalence of 59 we use the sum of powers of 2.

2^{0}=1

2^{1}=2

2^{2}=4

2^{3}=8

2^{4}=16

2^{5}=32

2^{6}=64

Now we take our number and find out what the binary number will by taking our largest number closest to the number first.

59 = 32

We chose the number 32 since 64 will be a larger value than 59.

We then check how much we have to add to 32 to get 59.

59 = 32 + 27

We then look for the closest number to 27 in our powers of 2.

59 = 32 + 16

Now we check again for how much we need left to get a total of 59.

59 = 32 + 16 + 11

Now we repeat the same process of finding which value in the powers of 2 are closest to the number.

59 = 32 + 16 + 8 + 3

59 = 32 + 16 + 8 + 2 + 1

Now since we already have a total of 59, our binary number will be all the numbers present will have a value of 1 and the numbers now used will have a number of 0.

32 16 8 4 2 1

This can also be represented as:

2^5 2^4 2^3 2^1 2^0

Now we have to include the numbers that we skipped to get the total binary number.

32 16 8 4 2 1  

1    1   1 0 1  1

This can be represented as:

59 = 32 16 + 8 + 0 + 2 + 1

1 1 1 0 1 1

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