Answer
which phrases can be represented by the algebraic expression x + 14? select three options.

1. the quotient of a number and 14
2. a number plus 14
3. fourteen less than a number
4. fourteen more than a number
5. a number increased by 14

The phrases can be represented by the algebraic expression x + 14 are:

Option 2: A number plus 14

Option 4: Fourteen more than a number

Option 5: A number increased by 14

Solution:

Given that we have to find the phrases represented by algebraic expression

Given expression is:

x + 14

This expression means that "x" is increased by 14 or 14 is added to x

Let us check the options one by one

The quotient of a number and 14

So this expression is wrong, since it involves quotient which is not related to given expression

A number plus 14

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Fourteen less than a number

Writing it mathematically,

number - 14

If the number be "x", then we get x - 14

So this Option is wrong

Fourteen more than a number

Here, "more than" means addition

Writing it mathematically,

14 + number

If the number be "x", then we get 14 + x which is same as x + 14

So this option is correct

A number increased by 14

Here, "increased by" means addition

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Thus correct options are option 2, 4, 5

the answer for this question is 38

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.