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Alex777 [14]
3 years ago
13

Two consecutive integers have a sum of 81 . find the integers.

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0
Let the first one be x, the second one is then x+1
x+(x+1)=81
2x=80
x=40
the two consecutive integers are: 40, 41
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A boutique prices merchandise by adding 80% to its cost. It later decreases by 25% the price of items that do not sell quickly
Darya [45]
A. Write a function f(x) to represent the price after the 80% markup. 
<span>b. Write a function g(x) to represent the price after the 25% markdown. </span>
<span>c. Use a composition function to find the price of an item after both price adjustments that originally costs the boutique $150. </span>
<span>d. Does the order in which the adjustments are applied make a difference? Explain. 
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answers 

 <span>a) f(x) = 1.8x 

b) f(x) = 0.75(1.8x) 

c) f(150) = 0.75(1.8(150) = $202.50 

d) No, it doesn't matter. The result is the same.
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8 0
3 years ago
The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
seropon [69]

Answer:

  • 7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

  • a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

  • c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

  • a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

  • c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

  • a + b + c = 17.5
  • 3b - 2 + b + 3b - 1.5 = 17.5
  • 7b - 3.5 = 17.5
  • 7b = 17.5 + 3.5
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Find the value of a:

  • a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

  • c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

  • a = 7 feet, b = 3 feet, c = 7.5 feet

8 0
1 year ago
Which is the graph of the step function f(x)?
quester [9]
You should do 9/4 divided by 3/8
5 0
2 years ago
Read 2 more answers
Find domain of this function. What you see are two rays on the graph.:
taurus [48]
The correct answer is C
Hope this helped :)
8 0
3 years ago
A Farm stand sells two types of grapes the cost of green grapes can be represented by the equasion y=1.5x, where y is the total
zaharov [31]

Answer:

I dont know because their is no graph angel O stop looking up the answer

Step-by-step explanation:

ITs not A

4 0
3 years ago
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