SOLUTION: I can not get this question on my homework, I can, but I can not get it in steps! Question: 2(x+4)=16 39).The number of time a cricket chirps in a minute is

Question 55354: I can not get this question on my homework, I can, but I can not get it in steps! Question:
2(x+4)=16
39).The number of time a cricket chirps in a minute is a function of the temperature in the formula: n=4t-160, where n=number of times a cricket chirps a minute and t=temperature in farenheit.
You can use the temperature t=(1/4)n+40 to estimate the temperature based on the number of chirps per minute.
a) At 60 degrees, how many times does a cricket chirp a minute.
b) What is the temperature when the number of times a cricket chirps per minute is 150.
c) At what temperature does a cricket stop chirping?
d) Graph the equation of the line with the number of chirps as the x-axis, what does the y-intercept represent?
Thank you for your help!
Alex
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
2(x+4)=16 First simplify the left side of the equation.
2(x)+2(4)=16 Distribute the 2.
2x+8=16 Because 8 doesn't have an x, subtract it from both sides.
2x+8-8=16-8
2x=8 because 2 is being multiplied by x, divide both sides by 2
2x/2=8/2
x=4
:
Check by substituting 4 in for x and seeing if both sides equal.
2(4+4)=16
2(8)=16
16=16 We're right!!!
:
39).The number of time a cricket chirps in a minute is a function of the temperature in the formula: n=4t-160, where n=number of times a cricket chirps a minute and t=temperature in farenheit.
You can use the temperature t=(1/4)n+40 to estimate the temperature based on the number of chirps per minute.
:
a) At 60 degrees, how many times does a cricket chirp a minute.
n=4(60)-160
n=240-160=80 times per minute
:
b) What is the temperature when the number of times a cricket chirps per minute is 150.
t=(1/4)(150)+40=77.5 degrees
:
c) At what temperature does a cricket stop chirping?
t=(1/4)(0)+40=40 degrees
:
d) Graph the equation of the line with the number of chirps as the x-axis, what does the y-intercept represent?
The temperature at which the cricket stops chirping.

Your Welcome.
Happy Calculating!!!
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