Lets solve it using a system of equations, c is the price of crayons and p the price of reams of paper, so we have:
1c + 5p = 54
5c + 3p = 50
those equations represent the situation. Lets solve the system multiplying the first equation by -5 and adding it to the second, we have:
-5c - 25p = -270
<span> 5c + 3p = 50
</span>---------------------
0 - 22p = - 220
22p = 220
p = 10
and now substitute in the original equation:
<span>1c + 5p = 54
</span><span>1c + 5(10) = 54
</span>c = 4
The reciprocal of -1/3 is -3/1
and the reciprocal of 4/1 is 1/4
<span>(a+c)/(b+d) = (a-c) / (b-d)
cross multiply
ab -ad +bc -cd = ab +ad -bc -cd
cancelling ab and -cd, on both sides of eqn
combining like terms
-2ad = -2bc
dividing both sides by (-2)
ad =bc
dividing both sides by (bd)
a/b = c/d,,,,,,,,,as required</span>
9514 1404 393
Answer:
x ≈ 13.7
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(58°) = 22/x
x = 22/tan(58°) ≈ 13.747
The value of x is about 13.7 units.