To solve the equation, subtract 3 from both sides. The solution is k = 11.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
- Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.
- Combine the same terms.
- Isolate the variable on one side by using subtraction of addition.
- Use division or multiplication to find the value of the variable.
Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve k + 3 = 14.
The variable is k. Subtract 3 from both sides:
k + 3 - 3 = 14 - 3
k = 11 (solved)
Learn more about solving an equation here:
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Answer:
8
Step-by-step explanation:
The equation is of the form
y = kx ← k is the constant of proportionality
To find k use the slope formula
k = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 16) ← 2 points on the line
k =
=
= 8
Hip Breadths and Aircraft Seats
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would be too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in. Find P 98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2%.
Answer:
15
Step-by-step explanation:
3(9)=27
27-12=15