9514 1404 393
Explanation:
From your knowledge of the world, you know that ...
- the cost of multiple items is the sum of their individual costs
- multiplication can be used for repeated addition
- utility fees are the sum of fixed fees and usage-related fees
- for a phone plan, text message costs are a usage-related fee
The problem statement asks for the cost of a single text message. For the purpose of finding that value, it is convenient to represent it using the variable <em>t</em>. The problem statement says Eric was billed for 450 text messages, so we expect his usage-related fee to be 450t, the sum of the costs of 450 messages--using multiplication for the repeated sum.
The problem statement says Eric was billed 12.50 for fixed fees. So, we expect Eric's total bill to be ...
fixed fees + usage-related fees = 12.50 + 450t
The problem statement says Eric's total bill was 35.00, so we assume that is the sum of the above-listed fees. That is, the two ways to express Eric's total bill are equal.
12.50 +450t = 35.00
Answer:
106
Step-by-step explanation:
The diameter of the wheel is 15 cm or 0.15 m.
The circumference of the wheel is 0.15π m ≈ 0.47 m.
So the wheel moves 0.47 m with each revolution.
The wheel travels 50 m, so the number of revolutions is:
(50 m) / (0.47 m/rev) ≈ 106 revolutions.
Answer:
(8, -9), (11, -9)
Step-by-step explanation:
The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.
For a line to not intersect the line y = 7, it must be parallel to y = 7.
The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.
From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.
Answer: (8, -9), (11, -9)
Answer:
There is no solution because the slopes of the two lines are the same.
Step-by-step explanation:
3x + 5 = 3x - 7
-3x - 3x Subtract 3x from both sides
5 ≠ - 7 No solution
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