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Vinil7 [7]
2 years ago
15

1. Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 pl

us $1 per hour. For how many hours is the total fee charged by the companies the same?
Mathematics
1 answer:
jarptica [38.1K]2 years ago
8 0
X represents the amount of hours
peppy pets 15 + 3x
happy hounds 21 + x

15 + 3x = 21 + x
subtract x from both sides

15 + 2x = 21
subtract 15 from both sides

2x = 6
divide each side by 2

x = 3 hours


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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite
zalisa [80]

Answer:

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

So

F + E = 30\\

We also know that:

E = 3F

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

F + 3F = 30\\F = 30/4\\F = 7.5 miles\\

Then E = 7.5*3 = 22.5 miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train (V_{E}) is the distance traveled between the time it did

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

3 0
3 years ago
Write an expression in simplest form the perimeter of the figure ?
kondor19780726 [428]

Answer:

4+11a+8b

Step-by-step explanation:

1) 4+3a+2b+6b+5a+3a

2) 3a+3a+5a=11a. 2b+6b=8b

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Math! Anyone know this algebra 2 question? Please help!!
zhuklara [117]
I hope this helps you

8 0
3 years ago
The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?
anyanavicka [17]

Answer:

75

Step-by-step explanation:

The measure of two supplementary angles =  15:21

The angles are  15x , 21x

15x + 21x = 180       {Supplementary}

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             x = 180/36

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Smallest angle = 15 * 5 = 75

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3 years ago
Evaluate the expression below.
o-na [289]

Answer:

<h2>A. 1</h2>

Step-by-step explanation:

Use:

|a| = a for a ≥ 0 or |a| = -a for a < 0

PEMDAS:

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

========================================

|8 - 7| · 4 + 3(-1)

= |1| · 4 - 3

= 1 · 4 - 3

= 4 - 3

= 1

6 0
2 years ago
Read 2 more answers
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