First, you need to write to expressions to model each situation:
Plan A: 10+0.15x
Plan B: 30+0.1x
Next, set the expressions equal to each other and solve for x:
10+0.15x=30+0.1x
<em>*Subtract 0.1x from both sides to isolate the variable*</em>
10+0.05x=30
<em>*Subtract 10 from both sides*</em>
0.05x=20
<em>*Divide both sides by 0.05*</em>
x=400
The plans would have the same cost after 400 minutes of calls.
To find how much money the plans cost at 400 minutes, plug 400 into either expression. We'll use Plan A:
10+0.15(400)
10+60
70
The plans will cost $70.
Hope this helps!
Answer: the answer is d trust me
Step-by-step explanation:
Answer: The answer is C) y= 2/3x-3
Step-by-step explanation:
i figure it out
Part a)
Answer: 5*sqrt(2pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi
Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"
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Part b)
Answer: 3*sqrt(3pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi
Note: the same issue comes up as before in part a)
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Part c)
Answer: sqrt(19pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
Answer:
3.76 × 10^4
Step-by-step explanation:
<em>1. Work out what they are.</em>
1.26 × 10^4 = 12600 (check your calculator to see if I'm right)
To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.
2.50 × 10^4 = 25,000
By doing the same thing above.
<em>2. Add them together</em>
12,600 + 25,000 = 37,600
<em>3. Change the answer into its scientific notation</em>
To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).
37600 ÷ 10,000 = 3.76
Next:
Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:
3.76 × 10^x what is x?
x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.
(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)
So your final answer is: 3.76 × 10^4
