(4 points)

Sara wants to build a sandbox for her younger siblings to play in. The sandbox is a rectangle shape with a width of 25.6 inches and length of 40.3 inches. Drag and drop the correct answers into the blanks.

A=l×w

Write the equation and substitute ____________ for land ____________ for w.

Now, simplify the equation by ____________ 40.3 and 25.6.

The area of the sandbox is ____________ in3

OPTIONS: Subtracting, 40.3, 1031.68, Dividing, Multiplying, 25.6, Adding, and 65.9

3 answers

A = l × w

Write the equation and substitute 40.3 for l and 25.6 for w.

Now, simplify the equation by Multiplying 40.3 and 25.6.

The area of the sandbox is 1031.68 in².

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Question
Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Identify the first step if solving this problem arithmetically, which would find the cost of one adult and one child ticket. (1 point)
Responses

Divide 75 by 6.
Divide 75 by 6.

Add 3 to 75.
Add 3 to 75.

Divide 75 by 3.
Divide 75 by 3.

Subtract 6 from 75.

To solve the problem arithmetically, the first step would be to set up the equations based on the information provided. The cost of one adult ticket can be denoted as \( a \), and the cost of one child ticket as \( c \). According to the problem:

  1. The cost of a child ticket is $3 less than the cost of an adult ticket: \( c = a - 3 \).
  2. The total cost of three adult tickets and three child tickets is $75: \( 3a + 3c = 75 \).

You can substitute \( c = a - 3 \) into the second equation to find the costs.

However, since you are looking for the first step from the given options, the response would be to Divide 75 by 6. This can be seen as a quick way to estimate the average cost per ticket, which gives a starting point for further calculations.