EXPLANATION
The consecutive even numbers are

EXPLANATION
Let

be the first even number then, the next even number will be,

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

We multiply through with an LCM of 10 to get,

This simplifies to,

We expand the brackets to get,

We group like terms to get,

This simplifies to

Therefore the next even number is is
Answer:
8w - 8 = 54
Step-by-step explanation:
It is easier (for me anyway) to find 10% then work around that.
Following that path would mean that, by making a table:
100% = 220
10% = 22
5% (Which is half the 10) = 11
Answer:
x = -2 or x = 1/2
Step-by-step explanation:
First get the eq in standard form, which means:
x² should not have that 2 in front of it
move the other 2 to the left
so first let's divide by 2:
x² + 3/2 x = 1
now move the 1 to the left
x² + 3/2 x - 1 = 0
now look for two numbers that, when multiplied, give -1, and when added, give 3/2. This is a bit of trial-and-error if you want to solve in this way.
The numbers are 2 and -1/2, since 2*-1/2 = -1, and 2 - 1/2 = 3/2
The factorization thus is:
x² + 3/2 x - 1 = (x+2)(x-1/2) = 0
Either factor (x+2) or (x-1/2) can be zero to solve the solution, hence x = -2 or x = 1/2
The key word here that you see is "about". Which means it is close but not exact. So when his teacher said that a liter is about .473 and his parents said it was "about" .5, you were rounding or estimating. .473, rounded to the nearest tenths is .5. Because "73" in .473 is closer to .5 or .500 than it is to .4 or .400.