James determined that these two expressions were equivalent expressions using the values of x-4 and x-6. which
statements are true? check all that apply.
7x+4 and 3x +5+4x-1
when x-2, both expressions have a value of 18.
the expressions are only equivalent for x4 and x-6.
the expressions are only equivalent when evaluated with even values.
the expressions have equivalent values for any value of x.
the expressions should have been evaluated with one odd value and one even value.
when x=0, the first expression has a value of 4 and the second expression has a value of 5.
the expressions have equivalent values if x-8.
"ratio of wooden bats to metal bats is 2 to 1" basically means "there are twice as many wooden bats (compared to metal ones)". so if we had 3 metal bats, then we'd have 2*3 = 6 wooden bats. if we had 7 metal bats, then we have 14 wooden ones (because 2*7 = 14). and so on. the basic rule is to multiply the amount of metal bats by 2 to get the amount of wooden ones.
we can go in reverse to divide the amount of wooden bats to get the amount of metal ones. so 20/2 = 10 is the amount of metal bats.
a more formal approach is to use the proportion below to solve for x
20/x = 2/1
20*1 = x*2
20 = 2x
2x = 20
2x/2 = 20/2
x = 10
and we get the same answer.
linear equations are when the points on a graph combine to make a line