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3 years ago

Simplify each sum or difference. State any restrictions on the variables.

Mathematics

1 answer:

Dvinal [7]3 years ago

7 0

Answer:

2(d-2)/(2d+1) or 1 - 5/(2d+1)

d can not be -½

Step-by-step explanation:

(d-3)/(2d+1) + (d-1)/(2d+1)

Lcm: 2d+1

(d-3+d-1)/(2d+1)

= (2d-4)/(2d+1)

= 2(d-2)/(2d+1)

If further simplification required:

= (2d-4)/(2d+1)

= (2d+1-5)/(2d+1)

= (2d+1)/(2d+1) - 5/(2d+1)

= 1 - 5/(2d+1)

2d+1 = 0

When d = -½

So d can not be -½ because when the denominator becomes 0, fraction becomes undefined

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What’s an equivalent expression to 5(2x-1)

netineya [11]

Answer:

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Step-by-step explanation:

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3 years ago

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musickatia [10]

Step-by-step explanation:

<h3>Given Information :</h3>

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
Remaining money = $759

<h3>To calculate :</h3>

His monthly salary.

<h3>Calculation :</h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

$\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\$

$\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\$

$\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\$

$\longrightarrow\sf {10x+ 15939= 21x} \\$

$\longrightarrow\sf {15939= 21x - 10x} \\$

$\longrightarrow\sf {15939= 11x} \\$

$\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\$

$\longrightarrow\underline{\boxed{\bf {1449= x}}} \\$

Therefore, his monthly income is $1449.

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3 years ago

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Mrac [35]

Answer:

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Step-by-step explanation:

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3 years ago