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dem82 [27]
4 years ago
13

If 3 consecutive integers sum to 63, the largest of the 3 = ?

Mathematics
2 answers:
Serggg [28]4 years ago
7 0
X+(x+1)+(x+2)=63
3x+3=63
3x=60
x=20
Consecutive integers are: 20, 21, 22
Answer: 22
DochEvi [55]4 years ago
6 0

This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.

Three consecutive integers can be represented as followed.

X → first integer

X + 1 → second integer

X + 2 → third integer

Since the sum of our three consecutive integers is 24, we can write an equation.

X + X + 1 + X + 2 = 63

We can simplify our equation on the left and it will read...

<h2>3x + 3 = 63</h2><h2>       -3    -3</h2><h2></h2><h2>3x = 60</h2><h2> ÷3   ÷3             ← divide both sides by 3</h2><h2></h2><h2>X = 20</h2><h2></h2><h2>Largest integer = X + 2</h2><h2>20 + 2 = 22</h2><h2></h2><h2>Largest integer = 22</h2>

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That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

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If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

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In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that 230\times 1.07 = 246.1, therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

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Ne4ueva [31]

Answer:

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Step-by-step explanation:

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1. If OQ and RT are parallel lines which statement is true?
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Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

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D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

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Therefore, Option (A) is the correct option.

Question (2).

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Therefore, Option (C) will be the answer.

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