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wel
4 years ago
12

217+37(3x−5)=−4 need help

Mathematics
2 answers:
Ksenya-84 [330]4 years ago
7 0

Answer:

the answer is 111x+32

could you also mark me as brainliest?

Assoli18 [71]4 years ago
4 0

Answer:

x = \frac{-12}{37}

or

x = -\frac{12}{37}

Step-by-step explanation:

If you are trying to find x:

1) Go by order of operations (PEMDAS)

217 + 37(3x - 5) = - 4

217 + 111x - 185 = - 4

111x + 217 - 185 = - 4

2) We Want to get 'x' by itself:

111x + 32 = - 4

        - 32 = -32

---------------------

111x = - 36

\frac{111x}{111} = \frac{-36}{111}

(Simplify the expression)

x = \frac{-36}{111}

(Both the numerator and denominator can be divided by 3)

x = \frac{-12}{37}

or

x = -\frac{12}{37}

(Both are the same)

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4 0
3 years ago
An executive invests $28000, some at 8% and the rest at 6% annual interest. If he receive annual return of $2000 how much is inv
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Answer:

$16,000 at 8% annual interest.

$12,000 at 6% annual interest.

Step-by-step explanation:

Let x be amount invested at a rate of 8% annual interest and y be the amount invested at a rate of 6% annual interest.

We have been given that an executive invests $28000, some at 8% and the rest at 6% annual interest. We can represent this information as:

x+y=28,000...(1)

We are also given that he received annual return of $2000. We can represent this information as:

(\frac{8}{100})x+(\frac{6}{100})y=2,000...(2)

0.08x+0.06y=2,000...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=28,000-y

Substituting this value in equation (2) we will get,

0.08(28,000-y)+0.06y=2,000

2240-0.08y+0.06y=2,000

2240-2240-0.08y+0.06y=2,000-2240

-0.08y+0.06y=2,000-2240

-0.02y=-240

\frac{-0.02y}{-0.02}=\frac{-240}{-0.02}

y=12,000

Therefore, the executive has invested $12,000 at a rate of 6% annual interest.

Upon substituting y=12,000 in equation (1) we will get,

x+12,000=28,000

x+12,000-12,000=28,000-12,000

x=16,000

Therefore, the executive has invested $16,000 at a rate of 8% annual interest.

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