Answer:
8 cm
Step-by-step explanation:
The maximum potential length of the string corresponds to the greatest common divisor of 32, 16, and 8.
32 = 2 * 2 * 2 * 2 * 2
16 = 2 * 2 * 2 * 2
8 = 2 * 2 * 2
The GCD = 2 * 2 * 2 = 8
The greatest length of the string = 8 cm
Calculating (-15)/3 gives -5.
The operation (-15)/3 can be visualized using red tiles for negatives and yellow for positives. The problem asks how many tiles remain when dividing 15 negative tiles among three groups equally. Using red tiles signifies the negative value involved. The division yields 5 red tiles in each group, establishing that the overall answer is negative.
Let x represent the hot dogs
and y represent the snacks
The equation x + y = 175
Rewrite x as 175 - y
And the second equation: 2.50x + 0.75y = 262.50
Substitute to get 2.50(175 - y) + 0.75y = 262.50
Which simplifies to 437.50 - 2.50y + 0.75y = 262.50
Rearranging gives -1.75y = -175
Hence, solving for y results in y = -175 / -1.75 = 100
Thus, 100 snacks and 75 hot dogs were sold
Provide the GCF for the monomials 34s^2t and 96st^2.
Purchasing the first 10 bricks at $4.50 each totals $45. The subsequent 10 bricks at $3.50 each add $35. This uses $80, leaving $20 to buy bricks priced at $2.50 each, allowing for 8 more bricks. Altogether, $100 can buy 28 bricks.