Answer:
18.75/ hour
Step-by-step explanation:
Simply divide 150 by 8.
1) You need to solve t -
2) Then solve f
3) As it's constant it is<span> still 10m/s
4) You need to </span><span>use the</span> time from part 1 times 10m/s
5) Use Pythagorean theorem with <span>10m/s and vf
I am pretty sure it will help you.</span>
Using proportions, it is found that 66 people in the survey worked on election day.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
For this problem, the amounts of people who worked are:
Hence the total amount is given by:
0.64 x 50 + 0.4 x 85 = 66.
66 people in the survey worked on election day.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
k = 8
Step-by-step explanation:
Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.
By the roots of an equation, ax² + bx + c , where its roots are x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.
Comparing both equations, a = 3 b = 2 and c = k.
So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3
x₁ + x₂ = -2/3 and x₁x₂ = k/3
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
3x₁ + (-2x₁) = -2 and x₁(3x₂) = k
3x₁ - 2x₁ = -2 and x₁(3x₂) = k
x₁ = -2 and x₁(-2x₁) = k
x₁ = -2 and -2x₁² = k
Substituting x₁ = -2 into -2x₁² = k, we have
-2x₁² = k
-2(-2)² = k
2(4) = k
8 = k
So, k = 8
Step-by-step explanation:
Slope-intercept form: y = mx + c.
3x - 2y = 7
=> 2y = 3x - 7
=> y = 1.5x - 3.5.
