Raymond works in an electronics store and gets a 12 percent employee discount. The original cost of a video game system is $175.

Answer:

Example Response: The diagram ought to consist of five columns; one for each 25% segment and an additional one for the total, since 25% represents 1

4

of 100%. There should be 2 rows, one designated for percentages and another for dollar figures.

Step-by-step explanation:

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Let L represent the yards in a roll of lace ribbon and S represent the yards in a roll of satin ribbon. We can formulate two equations: 3L + 2S = 120 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). If we multiply Equation 1 by 2 and subtract Equation 2, we have: 6L + 4S = 240 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). Thus, 4L equals 80 yards, leading to L equating to 20 yards. For Equation 1, substituting gives 3(20 yards) + 2S = 120 yards, leading to 2S equal to 60 yards, so S equals 30 yards. Therefore, a roll of lace ribbon contains 20 yards, while a roll of satin ribbon has 30 yards.

It is given that K represents the midpoint of line segment JL, and KL measures 14. We must demonstrate that JK is also 14. Since K is established as the midpoint of JL and KL equals 14, it follows from the definition of midpoint that JK must also equal KL. Hence, JK is found to be 14 due to the transitive property.

4.2x - 1.4y = 2.1
-1.4y = 2.1 - 4.2x
y = \frac{2.1 - 4.2x}{-1.4}
y = 3x - 1.5 <==