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sweet [91]
2 years ago
12

Given three consecutive even integers whose sum is 54, find the largest of the three integers.

Mathematics
2 answers:
nalin [4]2 years ago
8 0

Answer:

20

Step-by-step explanation:

Let the least integer = x. The three consecutive even integers can be denoted as:

x , x + 2 , x + 4

Set the equation:

(x) + (x + 2) + (x + 4) = 54

Simplify. Combine like terms:

(x + x + x) + (2 + 4) = 54

(3x) + (6) = 54

3x + 6 = 54

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 6 from both sides of the equation:

3x + 6 (-6) = 54 (-6)

3x = 54 - 6

3x = 48

Next, divide 3 from both sides of the equation:

(3x)/3 = (48)/3

x = 48/3

x = 16

~

Next, find the largest of the three integers, which was denoted as x + 4:

x + 4

(16) + 4 = 20

20 is the largest integer.

Check:

x + (x + 2) + (x + 4) = 54

16 + (16 + 2) + (16 + 4) = 54

16 + 18 + 20 = 54

16 + 38 = 54

54 = 54 (True).

~

sergejj [24]2 years ago
4 0

Answer:

<h2>The largest of the three numbers is<u><em> 20 </em></u></h2>

Step-by-step explanation:

<em>16, 18, 20</em>

(n) + n+2 + n+4

<h2>Note: </h2>

We only took even numbers

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Answer:

answer for 1

5 3/4 - 2 1/4 = 7

2

= 3 1

2

= 3.5

Spelled result in words is seven halfs (or three and one half).

How do you solve fractions step by step?

Conversion a mixed number 5 3

4

to a improper fraction: 5 3/4 = 5 3

4

= 5 · 4 + 3

4

= 20 + 3

4

= 23

4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4

4

= 20

4

b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23

c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters

Conversion a mixed number 2 1

4

to a improper fraction: 2 1/4 = 2 1

4

= 2 · 4 + 1

4

= 8 + 1

4

= 9

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4

4

= 8

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Subtract: 23

4

- 9

4

= 23 - 9

4

= 14

4

= 2 · 7

2 · 2

= 7

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the next intermediate step , cancel by a common factor of 2 gives 7

2

.

In words - twenty-three quarters minus nine quarters = seven halfs.

Step-by-step explanation:

answer for 27 2/3 + 2 1/5 = 148

15

= 9 13

15

≅ 9.8666667

Spelled result in words is one hundred forty-eight fifteenths (or nine and thirteen fifteenths).

How do you solve fractions step by step?

Conversion a mixed number 7 2

3

to a improper fraction: 7 2/3 = 7 2

3

= 7 · 3 + 2

3

= 21 + 2

3

= 23

3

To find new numerator:

a) Multiply the whole number 7 by the denominator 3. Whole number 7 equally 7 * 3

3

= 21

3

b) Add the answer from previous step 21 to the numerator 2. New numerator is 21 + 2 = 23

c) Write a previous answer (new numerator 23) over the denominator 3.

Seven and two thirds is twenty-three thirds

Conversion a mixed number 2 1

5

to a improper fraction: 2 1/5 = 2 1

5

= 2 · 5 + 1

5

= 10 + 1

5

= 11

5

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5

5

= 10

5

b) Add the answer from previous step 10 to the numerator 1. New numerator is 10 + 1 = 11

c) Write a previous answer (new numerator 11) over the denominator 5.

Two and one fifth is eleven fifths

Add: 23

3

+ 11

5

= 23 · 5

3 · 5

+ 11 · 3

5 · 3

= 115

15

+ 33

15

= 115 + 33

15

= 148

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds plus eleven fifths = one hundred forty-eight fifteenths mark me brainlist if i help

4 0
3 years ago
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