25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
Line M with slope 6 is neither, line n with slope -6 is parallel because only lines with same slope are parallel, line p with slope 1/6 is neither. and line q with slope -1/6 is perpendicular because only the reciprocal of a slope is perpendicular, so reciprocal of 6= 1/6 reciprocal of -6=-1/6 reciprocal of 2= 1/2
First,let's find the slope-intercept form of equation which is y=mx+b, where y and x are coordinates, m is the slope and ,c is the y-intercept
y+6.75=0.25(x-1) y=0.25(2)-6.5
y+6.75-6.75=0.25x -0.25 -6.75 y=-6
y=0.25x-6.5
(2,-6) is the only correct answer I think is on the line with this equation.
Answer:
∠2 = 51°
Step-by-step explanation:
The sum of supplementary angles = 180°
Equate the sum of the angles to 180 and solve for a
11a + 19 + 6a - 9 = 180
17a + 10 = 180 ( subtract 10 from both sides )
17a = 170 ( divide both sides by 17 )
a = 10
Hence
∠2 = (6 × 10) - 9 = 60 - 9 = 51°
