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mestny [16]
3 years ago
9

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee of $15 plus $17 per hour to clean a

house. A second cleaning company charges $20 per hour to clean a house. The second company does not charge a fixed fee in addition to their hourly rate. For what number of hours is the total amount charged for cleaning a house the same for both companies? Show or explain how you got your answer.
Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Answer:

5 hours

Equations:

first company: 17x+15

second company: 20x

Proof:

17(5)+15 => 85+15 => 100

20(5) => 100

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Simplify the expression 63 + 5(4-2)
Natalka [10]

Answer:

63 + 10

Step-by-step explanation:

when you do parenthesis and the number is next to another one with no symbol you multiply so 4-2 = 2 2 x 5 = 10 giving you 63 + 10

6 0
2 years ago
You are measuring the height of a statue. You stand 17 feet from the base of the statue. You measure the angle of elevation from
olga_2 [115]

Answer:

height ≈ 31 ft

Step-by-step explanation:

The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue.  The angle of elevation from the ground to the top of the statue  is 61°. The height of the statue can be computed below.

adjacent side of the triangle = 17 ft

opposite side = a

Using SOHCAHTOA principle

tan 61° = opposite/adjacent

tan 61° = a/17

cross multiply

a = 17 tan 61°

a = 17 × 1.80404775527

a = 30.6688118396

a ≈ 31 ft

6 0
4 years ago
What are the 3 characteristics of a polygon
Bingel [31]

Answer: The number of sides of the shape.

The angles between the sides of the shape.

The length of the sides of the shape.

Step-by-step explanation:

7 0
3 years ago
The ratio of triangle abc to the corresponding side of similar triangle def is 3:5. the perimeter of triangle def is 48in. what
Vlad1618 [11]
ABC : DEF
3: 5
3 x 9.6 : 5 x 9.6
28.8 : 48
Perimeter of triangle ABC = 28.8 inch
7 0
3 years ago
Pls help I don't understand !! !!
NemiM [27]
100cm is equivalent to 1m so 500cm is equivalent to 5m. What you need to do is divide 500cm (5metres) by 25cm (one quarter of a metre). So the number sentence using 'division' should look like 500cm divided by 25cm which equals 20. Don't forget to use proper symbols for division though. Let me know if this helps:)
5 0
3 years ago
Read 2 more answers
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