Question

Seven tenths of a number plus fourteen is less than forty-nine

Answer 1

To solve the equation 7/10x + 14 < 49, isolate the unknown number 'x' by subtracting 14 and multiplying by the reciprocal of 7/10.

Step-by-step explanation:

To solve the problem, let's first define the unknown number as 'x'. The given equation can be written as: 7/10x + 14 < 49.

To isolate 'x', we need to get rid of the 14 on the left side. Subtracting 14 from both sides of the equation:

7/10x < 49 - 14

7/10x < 35

Next, multiply both sides of the equation by 10/7 (the reciprocal of 7/10) to cancel out the fraction:

(10/7) * (7/10)x < (10/7) * 35

x < 50

Therefore, the number 'x' is less than 50.

Answer 2

I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50