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Andrej [43]
2 years ago
11

Solve the equation: 1/6(6x−12)=−13−(x−3)

Mathematics
1 answer:
mr Goodwill [35]2 years ago
3 0

Answer:

x = -4

Step-by-step explanation:

1/6(6x−12)=−13−(x−3)

Distribute

x -2=−13−x+3

Combine like terms

x-2 = -x-10

Add x to each side

x-2+x = -x-10+x

2x-2 = -10

Add 2 to each side

2x-2 +2 = -10+2

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

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3% of what number is 1.86
Illusion [34]

Answer:

62

Step-by-step explanation:

Of means multiply and is means equals

.03 * n = 1.86

Divide each side by .03

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2 years ago
Evaluate the following expression if x= 2.14<br> 3.35x + 25 - 2x
prohojiy [21]

Answer:

The final answer is 27.889 (Feel free to round it)

Step-by-step explanation:

3.35 x 2.14 = 7.169

7.169 + 25 = 32.169

2 x 2.14 = 4.28

32.169 - 4.28 = 27.889

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2 years ago
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Determine the graph of the polar equation r=4/(1-1/2cosx(theta))
crimeas [40]

Answer:

  see below

Step-by-step explanation:

We assume you want the graph of ...

  r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}

A graphing calculator or spreadsheet is useful for this.

__

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

  r at 0° = 8

  r at 30° ≈ 7.05

  r at 45° ≈ 6.19

  r at 60° ≈ 5.33

  r at 90° = 4

  r at 120° = 3.2

  r at 135° ≈ 2.96

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6 0
3 years ago
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den301095 [7]
1 .Fridays and Saturdays, she works 16 hours

16 x $9.70  = $155.20
answer: her gross pay in a week: $155.20

2.  7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90
7 + 6 + 9 = 22
196.90 / 22 = $8.95
answer: his hourly rate was $8.95

3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?

$11.28 x 40 = $451.20 ---normal 40 hours paid

46 - 40 = 6 (6 hours over time)

11.28 + 11.28/ 2 = $16.92 (overtime pays a rate of time and a half)

6 * $16.92 = $101.52

$451.20(40hours) +  $101.52(6hours overtime) = $552.72

answer: her gross pay last week was $552.72

4. Paul received a $15 tip on a meal that cost $120. What percent of the meal cost was the tip?

15 / 120 = .125
.125 * 100 = 12.5%

answer: percent of the meal cost was the tip was 12.5%

5. Carly earns a weekly salary of $720 plus 4% commission. Last week, she sold $3250 worth of products. What was her gross pay?

4% = .04
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$720  + $ 130 = $850
answer:  her gross pay was $850

5 0
3 years ago
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