There are 60 brown horses and 40 black horses and 20 spotted horses
<em><u>Solution:</u></em>
Given that there are 120 horses on a farm
of the horses are brown
<em><u>Number of brown horses are:</u></em>
Therefore, 1/2 of total number of horses are brown
of 120
of the horses are black
<em><u>Number of black horses are:</u></em>
Therefore, 1/3 of total number of horses are black
of 120
of the horses are spotted
<em><u>Number of spotted horses:</u></em>
Therefore, 1/6 of total number of horses are spotted
of 120
Thus there are 60 brown horses and 40 black horses and 20 spotted horses
Answer:
x=15/a+b/a
Step-by-step explanation:
a*x=15+b
you need to move all the variables (a) to one side and to do that you can re-organize it to say
x*a=15+b
to get the answer you need to divide (a) and that gets you your answer,
x=15/a+b/a
It's evident that the two angles in question are complementary, which equal up to 90 degrees. So what answer choice, added to m1 (37 degrees), equals 90 degrees? By using inverse operations, we can conclude that the answer is A because 90 - 37 = 53.
Answer:
<h2>
x∈{-1, 8}</h2>
Step-by-step explanation:
![\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1](https://tex.z-dn.net/?f=%5Clog_2x%20%2B%5Clog_2%28x-7%29%20%3D%203%5C%5C%5C%5C%5Clog_2%5Bx%5Ccdot%28x-7%29%5D%3D%203%5Clog_22%5C%5C%5C%5C%5Clog_2%28x%5E2-7x%29%3D%20%5Clog_22%5E3%5C%5C%5C%5Cx%5E2-7x%3D2%5E3%5C%5C%5C%5Cx%5E2-7x-8%3D0%5Cquad%5Cimplies%20%5Cquad%20a%3D1%5C%2C%2C%5C%20%5C%20b%3D-7%5C%2C%2C%5C%20%5C%20c%3D-8%20%5C%5C%5C%5Cx%3D%5Cdfrac%7B-%28-7%29%5Cpm%5Csqrt%7B%28-7%29%5E2-4%5Ccdot1%5Ccdot%28-8%29%7D%7D%7B2%5Ccdot1%7D%3D%20%5Cdfrac%7B7%5Cpm%5Csqrt%7B49%2B32%7D%7D%7B2%7D%20%3D%5Cdfrac%7B7%5Cpm%5Csqrt%7B81%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B7%2B9%7D2%3D8%5Cqquad%5Cvee%5Cqquad%20x%3D%5Cdfrac%7B7-9%7D2%3D-1)
Answer:
the area of the parallelogram is 120 units
