If one ratio is equivalent to another, that means that you multiply the top and the bottom on one ratio by a constant to get the larger ratio. D does that here for us. We have to multiply 3 by 5 to get to 15, so 16 times 5 better be 80 and it is.
Answer:
y = -7/6x +7
Step-by-step explanation:
To get y by itself, divide by its coefficient.
(42 -7x)/6 = y
We can simplify this and swap sides to get ...
y = -7/6x +7
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Answer:(-2,-6)
Step-by-step explanation:Put it in a graph and it should be the dot in the direct middle
