Answered

Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Join our Q&A platform to receive prompt and accurate responses from knowledgeable professionals in various fields.

Ashley only has 7 quarters and some dimes in her purse. She needs at least [tex]\$3.00[/tex] to pay for lunch. Which inequality could be used to determine the number of dimes, [tex]d[/tex], she needs in her purse to be able to pay for lunch?

1. [tex]1.75 + d \geq 3.00[/tex]
2. [tex]1.75 + 0.10d \geq 3.00[/tex]
3. [tex]1.75 + d \leq 3.00[/tex]
4. [tex]1.75 + 0.10d \leq 3.00[/tex]

Sagot :

GinnyAnsweridn
Let's walk through the solution step by step.

Ashley has 7 quarters. Each quarter is worth [tex]$0.25. To find out the total value of these quarters, we multiply the number of quarters by the value of each quarter: \[ \text{Total value of quarters} = 7 \times 0.25 = 1.75 \, \text{dollars}\] So, the total value of the quarters Ashley has is $[/tex]1.75.

Ashley needs at least [tex]$3.00 to pay for her lunch. This means that the combined value of the quarters and dimes in her purse has to be equal to or more than $[/tex]3.00.

Let [tex]\( d \)[/tex] be the number of dimes she has. Each dime is worth [tex]$0.10. Therefore, the total value of the dimes is: \[ 0.10d \] Combining the value of the quarters and the value of the dimes, the total amount of money Ashley has is: \[ 1.75 + 0.10d \] We need this total to be at least $[/tex]3.00 to satisfy her need. So the inequality we can write is:

[tex]\[ 1.75 + 0.10d \geq 3.00 \][/tex]

So, the correct inequality to determine the number of dimes [tex]\( d \)[/tex] Ashley needs is:

[tex]\[ (2) \, 1.75 + 0.10d \geq 3.00 \][/tex]
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.