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Bumek [7]
3 years ago
9

Solve the following equation, and check your solution. Be sure to show all work.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

<u>1. </u>Subtract 24 from both sides

-3x = -27 - 24

Simplify -27 - 24 to -51

-3x = -51

Divide both sides by -3

x = -51/-3

Two negatives make a positive

x = 51/3

Simplify 51/3 to 17

<u>x = 17</u>

<u>2.</u> Regroup terms

n/5 - 17 = 33

Add 17 to both sides

n/5 = 33 + 17

Simplify 33 + 17 to 50

n/5 = 50

Multiply both sides by 5

n = 50 * 5

Simplify 50 * 5 to 250

<u>n = 250</u>

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they each split 14 dollars and 16 cents

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3 years ago
Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is al
butalik [34]

Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

Remaining expenses will be $5,500-$2,500=$3,000

Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

<u>Ans=$44,850</u>

7 0
3 years ago
ANSWER ASAP
Brums [2.3K]

Answer:

  • y = 2x + 3
  • y = -6x
  • y = -x + 2
  • y = 2x - 7

Step-by-step explanation:

<u>Slope-intercept form:</u>

  • y = mx + b

<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>

<u>Slope</u>

  • m = (y2 - y1)/(x2-x1)

33.

  • m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
  • b = 3 as per table (0, 3)
  • y = 2x + 3

34.

  • m = (0-12)/(0 - (-2)) = -12/2 = -6
  • b = 0, as per table (0, 0)
  • y = -6x

35.

  • m = (2 - (-2))/(0 - 4) = 4/-4 = -1
  • b = 2, as per table (0, 2)
  • y = -x + 2

36.

  • m = (-5 - (-1))/ (1 -3) = -4/-2 = 2

Using point (3, -1)

  • -1 = 2*3 + b
  • b= -1 - 6= - 7
  • y = 2x - 7

8 0
3 years ago
SOMEONE PLEASE HELP ME WITH THIS!!!!
Ymorist [56]

Answer: B) 2(x + 3) - 1

6 0
3 years ago
Read 2 more answers
F(x) = 9x - x2 + 3x<br> F(1) =
mojhsa [17]

Answer:

f(1) = 10

Step-by-step explanation:

Here you can just replace any x with 1.

f(1) = 9(1) - (1)2 + 3(1)

4 0
3 years ago
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