Answer: To remove fractions prior to solving, each term in the equation must be multiplied by 
.
Step-by-step explanation:
Consider the given expression:
It is essential to simplify this before attempting to solve it.
Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.
Break down the denominators into their prime components:
Select 
, as it possesses the greatest exponent. Thus:
Ultimately, to remove the fractions before solving, multiply both sides by 4:
Step-by-step explanation:
The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
Answer:
The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150
Step-by-step explanation:
Calculated annually.
The typical male earns $90,761 each year.
The typical female earns $50,756 per annum.
Therefore, the annual difference is:
90,761 - 50,756 = 40,005
Across 30 years:
30*40,005 = 1,200,150
The earnings gap over a 30-year career, when comparing men and women, is $1,200,150
Let x represent the number of caps
cost per cap = $6
cost for x caps = 6x
shipping charge = $25
overall budget = $1000
We can set up the following inequality:
Because the total amount cannot exceed 1000, we have
25 + 6x ≤ 1000
6x ≤ 975
x ≤ 162.5
rounding,
x ≤ 163
This means she can purchase a maximum of 163 caps.
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
The volume calculation for the dimensions of 16 ft by 18 ft by 1/3 ft is as follows:
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
Thus, 96 cubic feet of concrete will be required.
