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Rudiy27
3 years ago
5

The answer and how to do it.

Mathematics
1 answer:
Kruka [31]3 years ago
4 0

let x = orginal price of the shorts

$21 = x(100%-20%) * 1.05

$21 = x(80%) * 1.05

$21 = 0.8x * 1.05

Subtract 1.05 from both sides

$19.95 = 0.8x

Divide 0.8 from both sides

$24.9375 = x

So the orginal price of the shorts are about $24.94

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A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees
nasty-shy [4]

Answer:

y = 2x

Step-by-step explanation:

1. attendee = x

2. cost = y

3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result

4. Thus, y = 2x

6 0
3 years ago
From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n
levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

8 0
3 years ago
The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?
Alla [95]

Answer:

22 feet

Step-by-step explanation:

Area of circle = pi(r²)

the square root of 121 is 11, so r = 11

d = 2r

d = 22

7 0
3 years ago
HiCan you please state the Pythagorean TheoremVerbally and algebraically
Natalija [7]
Pythagorean Theorem<h2>Verbally:</h2>

Let's say a and b are the legs, and c is the hypotenuse. Then, algebraically, the theorem is,

a^2+b^2=c^2

7 0
1 year ago
Through: (-5, -5), slope=2/5
kakasveta [241]

For this case we have that by definition, the equation of a line in the slope-intersection form is:

y = mx + b

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: m = \frac {2} {5}

Thus, the equation is of the form:

y = \frac {2} {5} x + b

We substitute the given point and find "b":

-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3

Finally, the equation is:

y = \frac {2} {5} x-3

Answer:

y = \frac {2} {5} x-3

4 0
3 years ago
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