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Anna11 [10]
4 years ago
15

Simplify the following problem, explaining each step.

Mathematics
1 answer:
Lera25 [3.4K]4 years ago
3 0

Answer:

33 - 4x

Step-by-step explanation:

Given the term to be solved by explaining each step:

13 - 4(x - 5)

First of all, the bracket will be solved as per the BODMAS rule.

The bracket term is:

4(x-5)

Now, 4 will be multiplied with x and -5.

i.e.

4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)

Now, let us put the value back in the original expression.

13 - 4(x - 5) = 13-(4x-20)

Now, let us remove the bracket, negative sign will be multiplied with both i.e. 4x and -20

\Rightarrow 13-4x+20 (\because negative multiplied with negative makes positive term)

Now, 13 and 20 are like terms, they will be added.

\therefore the expression is equivalent to :

\bold{33-4x}

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Let's represent the unknown number with the variable x:
9x - 12
9x is the product of 9 and a number, and it is being subtracted by 12
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Answer:

209,664

Step-by-step explanation:

4 0
3 years ago
The plans for a shed call for a rectangular floor with a perimeter of 294ft. The length is two times the width. Find the length
Dmitry_Shevchenko [17]
It is important to note that the perimeter is equal to 2(width) + 2(length). let's call width w and length L.

so 294 = 2w + 2L
but the length is two times the width, so L=2w.

294 = 2w + 2(2w)
294 = 2w + 4w
294 = 6w

divide both sides by 6 to solve for w.
49 = w. so our width is 49 feet.

L = 2w, so L = 2(49). L = 98.

our length is 98 feet.
6 0
4 years ago
Isa bought a number of pears and apples and paid $128 for them. If a pear costs $3.00 and an apple costs $4,00, how many apples
rodikova [14]

The numbers of pears and apples bought are 16 and 20 respectively

let

x = number of pears

y = number of apples

He bought 4 more apples than pears. Therefore,

  • y = x + 4

He bought a number of pears and apples and paid $128 for them. Therefore,

  • 3x + 4y = 128
<h3>System of equation:</h3>

y - x = 4

4y + 3x = 128

Therefore,

3y - 3x = 12

4y + 3x = 128

7y = 140

y = 140 / 7

y = 20

Therefore,

20 = x + 4

x = 20 - 4

x = 16

learn more on algebra here: brainly.com/question/971162

5 0
3 years ago
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