W = L - 7
WL = 78
(L-7)L = 78
L^2 - 7L - 78 = 0
Factorize: (L-13)(L+6) = 0
L = 13 or -6
A length cannot be negative, so the length must be 13 miles.
The width is 13-7 = 6 miles.
Answer:
(4, 3)
Step-by-step explanation:
Plug in x - 1 where y is. The equation will turn in 2x - 3(x - 1) = -1. Distribute, and you'll have 2x -3x + 3 = -1. Combine like terms (2x and -3x) and you'll have -x + 3 = -1. Subtract 3 from both sides, and you'll have -x = -4. Divide by -x (or -1) on both sides, and you'll have x = 4. Since y = x - 1, y = 3, since 4 - 1 = 3. Sorry if this sounds repetitive btw. Good luck :D
Answer:
49,744.8 so round up to 49,745
Step-by-step explanation:
You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.
Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.
Respectively the solution for this second figure is 5 sections as well.
Answer:
93.4 g/mL x 20. mL = 1868g.
489.7m / 53.061 s = 9.23 m/s
216.3 m/66.4 s = 3.26 m/s.
Step-by-step explanation:
Let's analyze each case.
93.4 g/mL x 20. mL
Hewe we are multiplying g/ml*ml. So we have the answer is (g*ml/ml) = g.
So
93.4 g/mL x 20. mL = 1868g.
489.7m / 53.061 s
We are dividing a measurement in m by a measurement in s. So the answer is in m/s.
So
489.7m / 53.061 s = 9.23 m/s
216.3 m/66.4 s
Same as above.
We are dividing a measurement in m by a measurement in s. So the answer is in m/s.
So
216.3 m/66.4 s = 3.26 m/s.
