IDNLearn.com provides a platform for sharing and gaining valuable knowledge. Whether it's a simple query or a complex problem, our experts have the answers you need.
Sagot :
To determine which situation corresponds to the equation [tex]\(0.35(t + \$850) = \$339.50\)[/tex], we can analyze each situation one by one. Here’s a detailed step-by-step solution for each scenario:
1. Rainy's neighbor's fence:
- Rainy’s share is 35% of the total cost (materials + labor).
- Given: 35% of [tex]\(t + \$850\)[/tex] equals \[tex]$339.50. - This exactly matches the given equation \(0.35(t + \$[/tex]850) = \[tex]$339.50\). 2. Manuel’s tire discount: - Manuel gets a 35% discount. - Total savings from the discount is \$[/tex]339.50.
- To find the original cost that gives this saving: [tex]\(0.35 \times (\text{4 tires cost + t}) = \$339.50\)[/tex].
- This does not match the given equation directly since it involves calculating the pre-discount price.
3. Monica’s gown and shoes:
- The store offers a 35% discount on the gown which can be used to buy shoes.
- The gown costs \[tex]$850. - 35% of \$[/tex]850 is [tex]\(0.35 \times 850 = \$297.50\)[/tex].
- This doesn't match the given equation because it only involves the cost of the gown, not additional labor costs.
4. Julie’s tuition:
- After paying [tex]\(t\)[/tex], Julie still owes 35% of the total \[tex]$850. - 35% of \$[/tex]850 is [tex]\(0.35 \times 850 = \$297.50\)[/tex], which means the remaining amount would be \[tex]$297.50. - This doesn’t match since it doesn’t fit the structure of the equation \(0.35(t + \$[/tex]850) = \[tex]$339.50\). 5. Chase’s donation: - Chase's donation puts the total fundraiser at \$[/tex]339.50, or 35% of their target of \[tex]$850. - This implies \(0.35 \times 850 = \$[/tex]297.50\), which would need Chase to donate the rest.
- This again does not match the structure of the equation.
Given the analysis, the situation that correctly fits the equation [tex]\(0.35(t + \$850) = \$339.50\)[/tex] is:
Rainy's neighbor asked her to pay 35% of the cost based on the portion of the fence that ran between their houses, resulting in an amount of \[tex]$339.50 for materials costing \$[/tex]850 plus labor costs, [tex]\(t\)[/tex].
Thus, the corresponding situation is:
Situation 1: Rainy’s neighbor's fence.
1. Rainy's neighbor's fence:
- Rainy’s share is 35% of the total cost (materials + labor).
- Given: 35% of [tex]\(t + \$850\)[/tex] equals \[tex]$339.50. - This exactly matches the given equation \(0.35(t + \$[/tex]850) = \[tex]$339.50\). 2. Manuel’s tire discount: - Manuel gets a 35% discount. - Total savings from the discount is \$[/tex]339.50.
- To find the original cost that gives this saving: [tex]\(0.35 \times (\text{4 tires cost + t}) = \$339.50\)[/tex].
- This does not match the given equation directly since it involves calculating the pre-discount price.
3. Monica’s gown and shoes:
- The store offers a 35% discount on the gown which can be used to buy shoes.
- The gown costs \[tex]$850. - 35% of \$[/tex]850 is [tex]\(0.35 \times 850 = \$297.50\)[/tex].
- This doesn't match the given equation because it only involves the cost of the gown, not additional labor costs.
4. Julie’s tuition:
- After paying [tex]\(t\)[/tex], Julie still owes 35% of the total \[tex]$850. - 35% of \$[/tex]850 is [tex]\(0.35 \times 850 = \$297.50\)[/tex], which means the remaining amount would be \[tex]$297.50. - This doesn’t match since it doesn’t fit the structure of the equation \(0.35(t + \$[/tex]850) = \[tex]$339.50\). 5. Chase’s donation: - Chase's donation puts the total fundraiser at \$[/tex]339.50, or 35% of their target of \[tex]$850. - This implies \(0.35 \times 850 = \$[/tex]297.50\), which would need Chase to donate the rest.
- This again does not match the structure of the equation.
Given the analysis, the situation that correctly fits the equation [tex]\(0.35(t + \$850) = \$339.50\)[/tex] is:
Rainy's neighbor asked her to pay 35% of the cost based on the portion of the fence that ran between their houses, resulting in an amount of \[tex]$339.50 for materials costing \$[/tex]850 plus labor costs, [tex]\(t\)[/tex].
Thus, the corresponding situation is:
Situation 1: Rainy’s neighbor's fence.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.
