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lawyer [7]
2 years ago
7

Find three consecutive integers such as two times the first integer, plus three times the second integer, minus the third intege

r, is equal to 21.
Mathematics
1 answer:
NikAS [45]2 years ago
8 0

The three consecutive integers are 5, 6, and 7.

What are consecutive integers?

Whole numbers that follow one another without a gap are known as consecutive integers. A few examples of consecutive integers are 15, 16, and 17, 1,2 and 3, and so on.

Finding the Consecutive Integers

Let the three consecutive integers be a, a + 1, and a + 2.

These three consecutive integers are to be such that two times the first integer when added to three times the second integer minus the third integer, it is equal to 21.

⇒ 2a + 3(a+1) - (a+2) = 21

2a + 3a + 3 - a -2 = 21

5a - a + 3 - 2 = 21

4a + 1 = 21

4a = 20

a = 20/4

a = 5

∴ a+1 = 5+1

a+1 = 6

And, a+2 = 5 + 2

a +2 =7

Hence, the three consecutive integers come out to be 5, 6, and 7

Learn more about consecutive integers here:

brainly.com/question/1767889

#SPJ4

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Herodoto, historiador
Masja [62]

Answer:

Defining the straight number of integers, we have to live in the year 2020 and this Greek historian was born in the year - 484.

Step-by-step explanation:

When using whole numbers, we denote positive numbers as the number of numbers after 0, and negative numbers the number of numbers before zero.

So if we consider the birth of Christ to be the year 0, then all years before Christ will be negative and all years after Christ will be positive.

So we have to live in the year 2020 and this Greek historian was born in the year - 484.

3 0
2 years ago
The three vertices of a triangle drawn on a complex plane are represented by 0 + 0i, 4 + 0i, and 0+ 3i. The length of the hypote
EastWind [94]
The hypotenuse length is √(4*4 + 3*3) = 5 (not √7 I suppose)
The area is base*half height = 4*3/2 = 6.

In short, I don't think complex numbers really interfere here.

4 0
3 years ago
A scale drawing for a backyard is shown below. In the drawing, 3 cm represents 4 m. Assuming the patio is rectangular, find the
bezimeni [28]

Answer:

288m^2

Step-by-step explanation:

ratio is 4000/3, though the thousand does not matter because we can just exchange units

18*4/3=24

24 meters

9*4/3=12

12 meters

24*12=288

6 0
1 year ago
Help plz im stuck frfr
mash [69]

Answer:

10.5÷3= 3.5

Step-by-step explanation:

the first triangle is 3 times bigger than the second triangle

eg. 19.5÷3= 6.5 (YX is 3 times bigger than QP)

16.5÷3=5.5

3 0
2 years ago
In triangle ABC, the measure of angle B is 90 degrees, BC=16, and AC=20. triangle DEF is similar to triangle ABC, where vertices
kkurt [141]
 <span>The third side of triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. 
12² + 16² = 20² 

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C) 

The sin(∠C) = opposite/hypotenuse 
= |AB| / |AC| 
= 12/20 
= 3/5 
= 0.6 

So the answer is 0.6.</span>
6 0
3 years ago
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