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Karo-lina-s [1.5K]
3 years ago
10

Solve the following equations. Check your work.

Mathematics
2 answers:
alexdok [17]3 years ago
7 0

Answer:

m= -1

x= 4/7

Step-by-step explanation:

JulsSmile [24]3 years ago
6 0

Answer:

1)m= -1

2)x=4/7

Step-by-step explanation:

1)Subtract 7m from both sides.      2)Step 1: Subtract 2x from both sides.−5x+3−2x=2x−1−2x                              -5x+3-2x=2x-1-2x

                                                              -7x+3=-1

                                                         Step 2: Subtract 3 from both sides

−7x+3=−1                                           -7x+3-3=-1-3

Step 2: Subtract 3 from both sides.  -7x=-4

                                                            Step 3:Divide both sides by -7

−7x+3−3=−1−3                                       -7x/7=-4/7

−7x=−4

Step 3: Divide both sides by -7.              x=4/7

−7x

−7

=

−4

−7

x=

4

7

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

−2m

−2

=

2

−2

m=−1

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Part A

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Part B

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Step-by-step explanation:

<u>Given data:</u>

  • 299, 281, 285, 269, 280, 269, 286, 287
<h3>Part A</h3>

<u>Find the mean of the data above:</u>

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<u>Find absolute deviations, an absolute value of the difference of data and the mean:</u>

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  • 281 - 282 = -1 ⇒ 1
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<u>Find mean absolute deviation:</u>

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Answer:

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c) $94.3

Step-by-step explanation:

Given that:

Before tax:

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Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = <em>$26</em>

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%

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Amount paid with sales tax = $82 + $12.3 = <em>$94.3</em>

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