Answer:
11.50 x 40 regular hours is $460
double time is 11.50 x 2 = $23 an hour
She makes $23 an hour for 8 hours = $184
$460 + $184 = $644 paycheck
Answer:
-ab/1
Step-by-step explanation:
The multiplicative inverse of x/y is y/x, because when multiplied it equals 1.
x/y time y/x = xy/xy, which equals one.
In this case, -1/ab times -ab/1 = -1ab/-1ab, which equals one.
Answer:
A. I only
I. y>2x
Step-by-step explanation:
I. y>2x
He sold x bicycles last week and y bicycles this week, this week, he earned more than twice as much as he did last week. Therefore more than twice means greater than 2 x or
y>2x
II. y>x This is not true because y could be greater than x and less than twice of x (2x)
III. y>3 This is also not true because the least he would be earning would be $ 20 and he could get earn greater than 3 and less than $ 20 which would again be contradictory to the given statement
Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
90% x 18 = 16.2
Therefore, you answered about 16 questions correctly out of 18.