Response:
B. 255 m
Detailed breakdown:
utilize similar triangles
L / 60 = 85 / 20
L = (85 * 60) / 20
L = 255 m
12 m^2/h to cm^2/min
12 m^2/h × 1 h/60 min = 0.2 m^2/min
0.2 m^2/min × 10000 cm^2/1 m^2 = 2000 cm^2/min
2000 cm^2/min
As you may realize, the equation y=-7/4x-2 is already formatted in slope-intercept form, which means that its slope is represented by the "x" coefficient, that is, -7/4.
Lines that are parallel share identical slopes, therefore a line parallel to this would also maintain a slope of -7/4, which would go through the point (4,2),
Honestly, I find Mrs. Garcia's method easier to perform mentally. It hinges on how familiar you are with your multiples of 5. (5*15 = 75 is a multiplication I often use)
Melissa's approach involves calculating 5*20 = 100 and 5*9 = 45, then combines the 3-digit result 100 with the 2-digit result 45, yielding 145. Adding 45 to 00 is simple and doesn’t require carrying digits, thus the arithmetic is fairly straightforward.
Mrs. Garcia's technique involves computing 5*14 = 70 and 5*15 = 75, then summing these two-digit results. Many people may not readily recall that 5*15=75, which complicates forming that product. The addition of 70 and 75 requires a carrying operation, making the math somewhat more complex. The resulting total is 145.
(The rationale behind my preference for Mrs. Garcia's method is that I can achieve the final sum by simply doubling 7 tens, followed by adding 5. The only 3-digit number to remember mentally is the ultimate total.)
_____Subtraction introduces a slight complication, yet reshaping it as $5(30 -1) = $150 - 5 = $145 is possible.
Or, you may reframe it as $5(28 +1) = $140 +5 = $145.
Dividing an even number by 2 to find the product of 5 is straightforward when you append a zero.
5*14 = 10*7 = 70
5*28 = 10*14 = 140.
