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NeX [460]
3 years ago
10

The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two

Mathematics
2 answers:
grandymaker [24]3 years ago
4 0

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

<u>1) Construct equations</u>

  1. x+y=33 (The sum of two integers is 33)
  2. x=6+2y (The larger is 6 more than twice the smaller)

<u>2) Solve for one of the integer</u>

Isolate x in the first equation

x+y=33\\x=33-y

Plug the first equation into the second

33-y=6+2y

Combine like terms

33-6=2y+y\\27=3y\\9=y

Therefore, the smaller integer is 9.

<u />

<u>3) Solve for the other integer</u>

x+y=33

Plug in y (9)

x+9=33\\x=33-9\\x=24

Therefore, the larger integer is 24.

I hope this helps!

BaLLatris [955]3 years ago
4 0
First we called x is the smaller number
next we have larger number is 2x+6
=>we have:2x+6+x=33
<=>x=9
so we have the larger number is 33-9=24
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Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

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⇛ n = 105/3

⇛ n = 35

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3 0
2 years ago
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artcher [175]

Answer:

The house is 18.75 feet tall

Step-by-step explanation:

The triangles are similar by the AA postulate.  

We are given the length of the bottom sides of the triangles, 4 and 15 respectively.  

Thus, the ratio is 4:15

We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.

\frac{4}{15}  = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75

Thus, the house is 18.75 feet tall.

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8 0
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Step-by-step explanation:

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