Answer:
-5 cannot be a possible solution
Step-by-step explanation:
given:
4h > -12 (divide both sides by 4)
h > (-12) / 4
h > -3
Hence all possible solutions of h must have a value greater than -3.
Since -5 is less than -3, hence -5 cannot be a possible solution
Answer:
(in degrees)
x = 15.09478709
Step-by-step explanation:
sin(x) = 25/96
Answer:
Step-by-step explanation:
Let L and S represent the weights of large and small boxes, respectively. The problem statement gives rise to two equations:
.. 7L +9S = 273
.. 5L +3S = 141
You can solve these equations various ways. Using "elimination", we can multiply the second equation by 3 and subtract the first equation.
.. 3(5L +3S) -(7L +9S) = 3(141) -(273)
.. 8L = 150
.. L = 150/8 = 18.75
Then we can substitute into either equation to find S. Let's use the second one.
.. 5*18.75 +3S = 141
.. S = (141 -93.75)/3 = 15.75
A large box weighs 18.75 kg; a small box weighs 15.75 kg.
9514 1404 393
Answer:
6 : 4
Step-by-step explanation:
The product of the ratio values is 3×2 = 6. This means the two numbers will have a GCF of 12/6 = 2. So, the two numbers are ...
3×2 : 2×2 = 6 : 4
_____
I think of GCF and LCM problems in terms of a "diagram" that looks like this:
(a [ b ) c ]
That is, the two numbers can be written in a form such that one is (a·b), the other is [b·c], their greatest common factor is b, and their least common multiple is a·b·c.
The ratio of the two numbers would be a : c. The product ac differs from the LCM by a factor of b, the GCF. Of course, b = abc/(ac), which is how we got the above answer.
