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Four less than the quotient of ten and a number, increased by eight:

Evaluate when [tex]\( y = 2 \)[/tex].

Write and evaluate the expression. Then, complete the statements.

First, write the expression:
[tex]\[ \frac{10}{y} - 4 + 8 \][/tex]

Second, substitute 2 for the variable [tex]\( y \)[/tex]:
[tex]\[ \frac{10}{2} - 4 + 8 \][/tex]

Third, simplify by performing the arithmetic:
[tex]\[ 5 - 4 + 8 = 9 \][/tex]

The answer is:
[tex]\[ 9 \][/tex]

Sagot :

GinnyAnswer
Let's break down the problem step-by-step.

### Step 1: Write the Expression

The problem asks us to write an expression for "four less than the quotient of ten and a number, increased by eight".

- "The quotient of ten and a number" translates to [tex]\( \frac{10}{y} \)[/tex].
- "Four less than" implies subtracting 4 from this quotient, so it becomes [tex]\( \frac{10}{y} - 4 \)[/tex].
- Finally, "increased by eight" means adding 8 to the result, giving us the final expression:

[tex]\[ 4 - \left(\frac{10}{y}\right) + 8 \][/tex]

### Step 2: Substitute 2 for the Variable [tex]\( y \)[/tex]

We are given [tex]\( y = 2 \)[/tex]. Substitute this into the expression:

[tex]\[ 4 - \left(\frac{10}{2}\right) + 8 \][/tex]

### Step 3: Simplify by Using Arithmetic Operations

First, perform the division inside the parentheses:

[tex]\[ \frac{10}{2} = 5 \][/tex]

So, the expression becomes:

[tex]\[ 4 - 5 + 8 \][/tex]

Next, carry out the subtraction and addition from left to right:

[tex]\[ 4 - 5 = -1 \][/tex]

[tex]\[ -1 + 8 = 7 \][/tex]

Therefore, the final result is:

[tex]\[ 7 \][/tex]

### Conclusion

The answer is [tex]\( 7 \)[/tex]. ✔
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