Questions: The price of a gift plus a 19% delivery charge comes to a total cost of 20.23. What was the price of the gift?

The price of a gift plus a 19% delivery charge comes to a total cost of 20.23. What was the price of the gift?
Transcript text: The price of a gift plus a $19 \%$ delivery charge comes to a total cost of $\$ 20.23$. What was the price of the gift? Step 1 of 2: Describe the above situation as a linear equation using " $x$ " or " $y^{\prime \prime}$ as variable names to describe the unknowns.
failed

Solution

failed
failed

Solution Steps

To find the price of the gift before the delivery charge, we can set up a linear equation. Let x x be the price of the gift. The total cost is the price of the gift plus 19% of the gift price as the delivery charge. This can be expressed as x+0.19x=20.23 x + 0.19x = 20.23 . Simplifying, we get 1.19x=20.23 1.19x = 20.23 . We can solve this equation for x x to find the price of the gift.

Step 1: Set Up the Equation

Let x x be the price of the gift. The total cost, including a 19% delivery charge, can be expressed as: x+0.19x=20.23 x + 0.19x = 20.23 This simplifies to: 1.19x=20.23 1.19x = 20.23

Step 2: Solve for x x

To find the price of the gift, we divide both sides of the equation by 1.19 1.19 : x=20.231.19 x = \frac{20.23}{1.19} Calculating this gives: x=17.0 x = 17.0

Final Answer

The price of the gift is \\(\boxed{x = 17.0}\\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which is the major organic product formed by this reaction? Studying the summary chart in Lesson VI.3.5 will help to correctly determining the products. A) C) B) D) E) No net reaction or none of these is a major product
failedAnswered
What is the strongest influence on young citizens' first party identification? A. the area where they grew up B. the nature of the times C. the partisanship of their parents D. the partisanship of their friends, peers, and schoolmates
failedAnswered
The National Institute of Mental Health published an article stating that in any one-year period, approximately 27 percent of American adults suffer from depression or a depressive illness. In a survey of 100 people in a certain town, the percentage of people suffering from depression or a depressive illness was actually different than 27 percent. The sample proportion was 28%. a. Choose the correct null and alternative hypothesis. Ho: p=0.27 and Ha: p ≠ 0.27 Ho: p ≥ 0.28 and Ha: p=0.28 Ho: p ≥ 0.28 and Ha: p<0.28 Ho: p=0.28 and Ha: p>0.28 Ho: p=0.27 and Ha: p<0.27 Ho: p=0.28 and Ha: p<0.28 Ho: p=0.27 and Ha: p>0.27
failedAnswered
Find the angle measure of θ.
failedAnswered
Decide whether the sampling method could result in a biased sample. Explain your reasoning. 16. On the first day of school, all of the incoming freshmen attend an orientation program. The principal wants to learn the opinions of the freshmen regarding the orientation program. He decides to ask the first 25 freshmen that he sees. 17. The manager of an apartment building wants to know if the residents are satisfied with his service. He writes each apartment number on a piece of paper and places the pieces of paper in a hat. Then he randomly chooses 10 apartment numbers and asks the residents of the 10 apartments about his service. 18. The members of the school drama club want to know how much students are willing to pay for a ticket to one of their productions. They decide that each member of the drama club should ask five of his or her friends what they are each willing to pay: