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4 years ago

What is x equal to in the problem 10+3(x+2)=36? Please show your work.

Mathematics

2 answers:

scZoUnD [109]4 years ago

5 0

Answer:

x = 6 2/3

Step-by-step explanation:

10+3(x+2)=36

10+3x+6=36 Solve inside the parenthesis.

16+3x=36 Combine like terms.

-16 -16 Subtract 16 from both sides.

3x/3=20/3 Divide both sides by 3.

x=6 2/3 The answer is x= 6 2/3, or 6.66666666666667

maria [59]4 years ago

4 0

Answer:

x = 6 2/3

Step-by-step explanation:

10 + 3 (x + 2) = 36

Distribute 3 into (x + 2)

10 + 3 x X + 3 x 2 = 36

10 + 3x + 6 = 36

The expression can also be written as

10 + 6 + 3x = 36

16 + 3x = 36

Subtract 16 from both sides

16 - 16 + 3x = 36 - 16

3x = 20

Divide both sides by 3

3x/3 = 20/3

x = 6 2/3

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Check:
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The length of a rectangle is 12cm great her than twice it’s width. If the perimeter of the rectangle is 48 cm, calculate it’s le

posledela

Answer: length = 20cm and width = 4cm✔️

Step-by-step explanation:

Perimeter of a rectangle = 2length + 2width } Equation 1

<em>Since we know the length is 12cm greater than twice its width: </em>

length = 2width + 12cm } Equation 2

<em>We can substitute this value for length in the equation 1</em> :

Perimeter = 2(2width + 12cm) + 2width

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<em>Since we know the perimeter is 48cm, we can substitute here :</em>

48cm = 6width + 24cm

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<em>Now we can substitute this value in the equation 2 </em>

length = 2width + 12cm } Equation 2

length = 2x4cm + 12cm = 8cm + 12cm = 20cm✔️

Answer: length = 20cm and width = 4cm✔️

<h3>Checking </h3>

Perimeter = 2length + 2width

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