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QUESTION IMAGE

directions: complete each problem and show your work. if you have acces…

Question

directions: complete each problem and show your work. if you have access to a computer, log
into google classroom to check your answers with the link to ixl.

  1. complete the following statement.

20% of $92.95 = $

  1. 20% of the tickets sold at a water park were child tickets. if the park sold 645 tickets

in all, how many child tickets did it sell?
tickets

  1. noras town voted on a new speed limit. of the votes received, 7,520 were in favor of

the new speed limit and 480 were opposed. what percentage of the votes were in
favor of the new speed limit?
write your answer using a percent sign (%).

Explanation:

Step1: Convert percentage to decimal

To find \(20\%\) of a number, we first convert \(20\%\) to a decimal. \(20\%=\frac{20}{100} = 0.2\)

Step2: Calculate \(20\%\) of \(92.95\)

Multiply the decimal form of the percentage by the number. So, \(0.2\times92.95 = 18.59\)

Step3: Calculate child - tickets (Problem 2)

Again, convert \(20\%\) to \(0.2\). Then multiply by the total number of tickets. \(0.2\times645=129\)

Step4: Calculate total votes (Problem 3)

First, find the total number of votes. Total votes \(=7520 + 480=8000\)

Step5: Calculate percentage of favorable votes

Use the formula \(\text{Percentage}=\frac{\text{Number of favorable votes}}{\text{Total votes}}\times100\%\). \(\frac{7520}{8000}\times 100\%=(7520\div8000)\times100\% = 0.94\times100\%=94\%\)

Answer:

  1. \(18.59\)
  2. \(129\)
  3. \(94\%\)