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nydimaria [60]
3 years ago
8

Solve for x 1/4(4x-1)=-1/7-5/7

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

x=-\frac{17}{28}

Step-by-step explanation:

\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}

x-\frac{1}{4}=-\frac{6}{7}

x = -\frac{6}{7} + \frac{1}{4}

x = -\frac{17}{28}

plug x in the equation to make sure of your answer:

\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}

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An item is priced at $13.42. If the sales tax is 4%, what does the item cost including sales tax? If necessary, round to the nea
stiv31 [10]

Answer:

Total cost = $13.96

Step-by-step explanation:

The total to be paid for the item is the addition of its price plus the taxes. That is:

Total\,\,cost=13.42+0.04\,*\,13.42\\Total\,\,cost=13.42+0.5368\\Total\,\,cost==13.9568

Which can be rounded to $13.96

8 0
3 years ago
Prove the equation (2x+5)2 = 4x (x + 5) +25
shtirl [24]

Answer:  x = -5/2 and x = -3/2

Step-by-step explanation:

(2x + 5)2 = 4x (x + 5) +25

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   [minus 4x on both sides.]

            10 = 4x² + 16x + 25

   [minus 10 on both sides.]

            0 = 4x² + 16x + 15

ac = 4(15) = 60,then find the factors that add up to 16, which is 6 and 10.

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            0 = (2x + 5)(2x + 3)

2x + 5 = 0                                 2x + 3 = 0

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3 0
2 years ago
Read 2 more answers
Mason plays a game by flipping two fair coins.He wins the game if both coins land facing heads up. If Mason plays 200 times, how
blagie [28]

Answer:

Therefore Mason would be expected to win 50 times.

Step-by-step explanation:

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ii) probability of flipping two fair coins is = \frac{1}{2} \times \frac{1}{2}  = \frac{1}{4}

iii) Therefore if Mason plays 200 times he would be expected to win

    = \frac{1}{4} \times 200 =  50\hspace{0.1cm} times.

7 0
3 years ago
What is the volume of wax needed for the candle in the shape of a prism?
Vesnalui [34]

Answer:

Step-by-step explanation:

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6 0
3 years ago
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5 0
3 years ago
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