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ASHA 777 [7]
3 years ago
9

A radio is on sale for half price. Let y be its original price. Write an expression that tells its sale price.

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

50% off of y

Step-by-step explanation:

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If f ( x ) = 1 3 x − 5 , what is f ( − 6 ) ?
RoseWind [281]

Answer:

-4

Step-by-step explanation:

by finding the exact value.

6 0
3 years ago
The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent: Parallelogram ABC
Studentka2010 [4]

General Idea:

The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.

Applying the concept:

Angles PBC and BAD are congruent by the <u>Corresponding Angle Theorem</u>.

Angles ABC and BAT are congruent by the <u>Alternate Interior angle Theorem</u>.

8 0
3 years ago
Read 2 more answers
The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:
Lady_Fox [76]

Answer:

This is hard asfk

Step-by-step explanation:

Sorry but im confused just as you.

5 0
3 years ago
Hannah Ortega is considering expanding her business. She plans to hire a salesperson to cover trade shows. Because of compensati
mariarad [96]

Answer:

a) Total Cost for EzRecords = $13000

Cost per unit of EzRecords = $162.50

Total Cost for ProOffice = $10000

cost per unit of ProOffice = $200.00

b) Total Cost for EzRecords = $25000

Cost per unit of EzRecords = $125.00

Total Cost for ProOffice = $17500

cost per unit of ProOffice = $175.00

Step-by-step explanation:

a) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 80 = $8000

Variable Cost of proOffice products = $150 × 50 = $7500

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $8000

Variable cost for ProOffice = $7500

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $8000 = $13000

Total Cost for ProOffice = $2500 + $7500 = $10000

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 13000/(80) = $162.50

Cost per unit of ProOffice = 10000/50 = $200.00

b) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 200 = $20000

Variable Cost of proOffice products = $150 × 100 = $15000

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $20000

Variable cost for ProOffice = $15000

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $20000 = $25000

Total Cost for ProOffice = $2500 + $15000 = $17500

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 25000/(200) = $125.00

Cost per unit of ProOffice = 17500/100 = $175.00

8 0
3 years ago
What is the area of the trapezoid?
ExtremeBDS [4]
<h2>Answer:</h2>

42 square units

<h2>Step-by-step explanation:</h2>

For a better understanding, I add an EFGH Rectangle.

The area of EFGH Rectangle = p x l

The area of EFGH Rectangle = 10 x 8

The area of EFGH Rectangle = 80cm²

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x 6 x 4

The area of BHA Triangle = 2 x 6

The area of BHA Triangle = 12cm²

The area of AGD Triangle = 1/2 x a x t

The area of AGD Triangle = 1/2 x 4 x 2

The area of AGD Triangle = 4cm²

The area of CFD Triangle = 1/2 x a x t

The area of CFD Triangle = 1/2 x 2 x 6

The area of CFD Triangle = 6cm²

The area of BEC Triangle = 1/2 x a x t

The area of BEC Triangle = 1/2 x 8 x 4

The area of BEC Triangle = 4 x 4

The area of BEC Triangle = 16cm²

The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)

The area of the trapezoid = 80 - (12 + 4 + 6 + 16)

The area of the trapezoid = 80 - 38

The area of the trapezoid = 42cm²

<h3>Conclusion :</h3>

The area of the trapezoid is <u>42 square units</u>

7 0
2 years ago
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