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Monica [59]
3 years ago
7

Solve the combined inequality and describe the graph of the solution.

Mathematics
1 answer:
Vikki [24]3 years ago
3 0
I hope this helps you



4x>-4 x>-1



8x <32 x <4


-1 <x <4
You might be interested in
Income Statements under Absorption Costing and Variable Costing
rodikova [14]

The Income Statements under Absorption Costing and Variable Costing are as follows:

                                                       Absorption Costing     Variable Costing

Sales (19,500 units)                              $2,145,000               $2,145,000

Cost of goods sold                                $1,491,750               $1,365,000

Gross profit                                            $653,250                 $780,000

Selling and administrative expenses:

Fixed factory overhead                                          $162,500

Variable selling and

 administrative expenses    $296,400                  296,400

Fixed selling and

 administrative expenses       114,800    411,200    114,800   573,700

Net Income                                          $242,050                $206,300

<h3>What is the difference between Absorption Costing and Variable Costing?</h3>

The difference between Absorption Costing and Variable Costing is that the Ending Inventory costs under Variable Costing include only direct materials, direct labor, and variable factory overhead.  Absorption Costing includes all the variable factory costs plus fixed factory overhead (a period cost) in the Ending Inventory costs.

<h3>Data and Calculations under Absorption Costing:</h3>

Sales (19,500 units)                              $2,145,000

Production costs (25,000 units):

Direct materials                $1,017,500

Direct labor                          487,500

Variable factory overhead 245,000

Fixed factory overhead       162,500

Total production costs      1,912,500

Cost per unit = $76.50 ($1,912,500/25,000)

Less Ending inventory        420,750               (5,500 x $76.50)

Cost of goods sold                              $1,491,750

Gross profit

Selling and administrative expenses:

Variable selling and administrative expenses $296,400

Fixed selling and administrative expenses 114,800 411,200

<h3>Data and Calculations under Variable Costing:</h3>

Sales (19,500 units)                              $2,145,000

Production costs (25,000 units):

Direct materials                $1,017,500

Direct labor                          487,500

Variable factory overhead 245,000

Total variable production costs  1,750,000

Cost per unit = $70 ($1,750,000/25,000)

Less Ending inventory       385,000               (5,500 x $70)

Cost of goods sold                              $1,365,000

Gross profit

Selling and administrative expenses:

Variable selling and

administrative expenses $296,400

Fixed factory overhead       162,500

Fixed selling and administrative expenses 114,800 411,200

Learn more about absorption costing and variable costing at brainly.com/question/6337340

#SPJ1

7 0
1 year ago
Which statement best describes the area of Triangle ABC shown below?
sergeinik [125]

Answer:

  It is one-half the area of a rectangle with sides 4 units × 3 units

Step-by-step explanation:

One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.

The opposite vertex has y-value 5, so is 3 units away from the line y = 2.

The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...

  A = (1/2)bh

we find the area to be ...

  A = (1/2)×(4 units)×(3 units) . . . . triangle area

__

A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...

  A = (4 units)×(3 units) . . . . rectangle area

Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.

5 0
3 years ago
Mrs. Winchester prepared 5/6 pound of pasta. How many 1/4 pound servings are in 5/6 pound of past
vlada-n [284]
(5/6) / (1/4)
5/6 * 4/1
20/6
3 1/3 <=== there is 3 1/3 one-forth lb servings
4 0
3 years ago
Is the order pair (2,1) a solution to the equation 4x-2y=5?
torisob [31]

No.

When you insert the numbers you get 8-2=5

This is inaccurate.

Please vote brainliest!

6 0
3 years ago
A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of
vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0
3 years ago
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