Learning Task 1: Translate the verbal sentence to mathematical sentence. Use variable x to represent number. Do this in a separate sheet of paper.
Verbal Sentence
Mathematical sentence
1. The sum of a number and 5 is 12.
2. Twice a number is 54
3. Thrice a number increase by 2 is less than 50.
4. One half the sum of a number and 4 is less than 28.
5. A number increased by one-third of the number is 5.
I NEED THE ANSWER THANKS
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1. x + 5 = 12

2. 2x = 54

Step-by-step explanation:

Let

The unknown number = x

1. The sum of a number and 5 is 12.

x + 5 = 12

x = 12 - 5

x = 7

2. Twice a number is 54

2x = 54

x = 54/2

x = 27

3. Thrice a number increase by 2 is less than 50.

3x + 2 < 50

3x < 50 - 2

3x < 48

x < 48/3

x < 16

4. One half the sum of a number and 4 is less than 28.

1/2(x + 4) < 28

5. A number increased by one-third of the number is 5.

x + 1/3x = 5

0.84 dang lotta people are looking for this lol or if you round up its 1 but the overall answer to that is 0.84

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .