Based on the calculations on the given expressions, the correct answers are as follows:
- Expression = 25/2 or 12.5.
- Difference = 5.
- n = 6.
- Expression = 31/15.
- Prime factorization of 96 = 2⁵ × 3¹.
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.
- Inequality = 2³ < 3².
- Total amount = $255.
- Expression = 5.
<h3>How to evaluate this expression?</h3>
In order to evaluate this expression, we would substitute the value of x into upper and lower part respectively and then simplify as follows:
Expression = (6x + 8)/(4x - 24)
Expression = (6(7) + 8)/(4(7) - 24)
Expression = (42 + 8)/(28 - 24)
Expression = 50/4
Expression = 25/2 or 12.5.
Next, we would translate the given word problem into an algebraic expression:
Difference = 10 - 5
Difference = 5.
To solve for the value of n in the given expression:
-15 + n = -9
n = -9 + 15
n = 15 - 9
n = 6.
Expression = 2/3 + 1 2/5
Expression = 2/3 + 7/5
Expression = (10 + 21)/15
Expression = 31/15.
Next, we would write the prime factorization of 96:
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
96 = 2 × 2 × 2 × 2 × 2 × 3
96 = 2⁵ × 3¹.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.
<h3>How to determine the inequality symbol?</h3>
2³ __ 3² ≡ 8 __ 9
Since 8 is less than 9, the inequality symbol which would complete the number sentence is < and it would be written as follows:
Inequality = 2³ < 3².
Next, we would calculate the total amount of money that KeeKee will spend:
Initial cost = 3 × $60 = $180
Total amount = initial cost + final cost
Total amount = $180 + $75
Total amount = $255.
Finally, we would simplify the given expression:
Expression = 3² + 2(12 ÷ 4 - 2 + 3)
Applying BODMAS, we have:
Expression = 3² + 2(3 - 2 + 3)
Expression = 3² + 2(3 - 5)
Expression = 3² + 2(-2)
Expression = 9 - 4
Expression = 5.
<h3>What is an expression?</h3>
An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Read more on expressions here: brainly.com/question/28260012
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by dividing 2 from the numerator as well as the denominator.