Answer:
-1 1/8
Step-by-step explanation:
-3/4 / -8/12
= -3/4 * -12/8
= -3*12 / -4*8
= -36/32
= -1 4/32
= -1 1/8
Answer:
B
Step-by-step explanation:
This is a neat question
f(x) - g(x) = 2x Add g(x) to both sides
f(x) = g(x) + 2x
Now you need the right hand side to have 20 added to g(x).
2x must = 20
2x = 20 Divide by 2
x = 20/2
x = 10
So the answer must be x = 10
<h3>
Answer: D) One solution</h3>
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Work Shown:
2(b+3)-17 = 3b-7+b
2b+6-17 = 4b-7
2b-11 = 4b-7
-11+7 = 4b-2b
-4 = 2b
2b = -4
b = -4/2
b = -2
There is one solution and it is b = -2
A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.
Answer:
-12 47/60
Step-by-step explanation:
-(1 1/5) + (-8 3/4 -2 5/6) = -(1 + 8 + 2 + 1/5 + 3/4 + 5/6)
= -(11 + 12/60 +45/60 +50/60) . . . 60 is the LCD of 1/5, 3/4, 5/6
= -(11 + 107/60) . . . . . . . . . . . . . . . . add the fractions
= -(12 47/60) = -12 47/60 . . . . . . . write as a mixed number
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Your graphing calculator may be able to do this for you. Many handle mixed numbers with ease.
Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
