We appreciate your visit to Directions Choose the correct answer for each problem below 1 Suppose it is known that tex 45 tex of some number is 83 Which of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the problem, let's break down the information and each of the provided options:
First, the problem tells us that 45% of some number is 83. Mathematically, this means:
[tex]\[ 0.45 \times \text{some number} = 83 \][/tex]
To find the number, we solve for it by dividing 83 by 0.45:
[tex]\[ \text{some number} = \frac{83}{0.45} \][/tex]
Now let's examine each option to see which statement is not true:
a. This problem asks, "45% of what number equals 83?"
- This statement is true because it accurately restates the given problem.
b. This problem can be solved by evaluating the expression [tex]\( 83(0.45) \)[/tex].
- This statement is not true. Calculating [tex]\( 83(0.45) \)[/tex] would give us [tex]\( 37.35 \)[/tex], which doesn't help us find the original number. We need to divide, not multiply.
c. This problem can be solved by evaluating the expression [tex]\( 83 \div 0.45 \)[/tex].
- This statement is true. Dividing 83 by 0.45 is the correct mathematical operation to find the original number.
d. This problem can be solved by evaluating the expression [tex]\( 83 \div \frac{9}{7n} \)[/tex].
- This statement is not true. The expression [tex]\( 83 \div \frac{9}{7n} \)[/tex] is incorrect and unrelated to the original problem.
Based on this analysis, the statements that are not true are b and d.
First, the problem tells us that 45% of some number is 83. Mathematically, this means:
[tex]\[ 0.45 \times \text{some number} = 83 \][/tex]
To find the number, we solve for it by dividing 83 by 0.45:
[tex]\[ \text{some number} = \frac{83}{0.45} \][/tex]
Now let's examine each option to see which statement is not true:
a. This problem asks, "45% of what number equals 83?"
- This statement is true because it accurately restates the given problem.
b. This problem can be solved by evaluating the expression [tex]\( 83(0.45) \)[/tex].
- This statement is not true. Calculating [tex]\( 83(0.45) \)[/tex] would give us [tex]\( 37.35 \)[/tex], which doesn't help us find the original number. We need to divide, not multiply.
c. This problem can be solved by evaluating the expression [tex]\( 83 \div 0.45 \)[/tex].
- This statement is true. Dividing 83 by 0.45 is the correct mathematical operation to find the original number.
d. This problem can be solved by evaluating the expression [tex]\( 83 \div \frac{9}{7n} \)[/tex].
- This statement is not true. The expression [tex]\( 83 \div \frac{9}{7n} \)[/tex] is incorrect and unrelated to the original problem.
Based on this analysis, the statements that are not true are b and d.
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