Answer:
1.) 300 - 5w = 150
2.) 30 weeks
Step-by-step explanation:
w = weeks on the diet
if every week he's on the diet, that means that the weeks * 5 is how many pounds he loses. If he's on the diet one week then he loses 5 pounds. 2 weeks then 10 pounds... etc. But because he's losing punds the value is negative
He starts at 300 pounds so the y-intercept (starting value) would be 300
Finally, because he's looking to get to 150 pounds, that is the final value you're solving for
So this is your firat equation:
300 - 5w = 150
Then we are looking for when two different eqaution have the same value.
Your equation is: 60 + 7w
Her equation is: 120 + 5w
Your final equation is 60 + 7w = 120 + 5w
Solve for this by getting w on one side, and your plain old variable-less value on the other. Do this by subtracting 5w from each side, as well as 60.
Your equation is now 2w = 60
Then divide the whole equation by 2, and you get w = 30
hope this helps, be safe :)
Answer: Again I ask.... What?
Step-by-step explanation:
Answer:
the answer is 1/2 or 0.5
Step-by-step explanation:
So basically you just get on a calculator and divide it after you do that it will give you a decimal and all you have to do is convert that decimal to a fractiom so we know that 0.5 is a half so therefore 0.5=1/4
9514 1404 393
Answer:
h ≤ -7/2
Step-by-step explanation:
This is what is known as a "2-step" problem.
The first step is to "isolate the variable term" by adding the opposite of the term on the left that does not have the variable in it. That is, we want to add -4 to both sides of the inequality.
4 -4 +2h ≤ -3 -4 . . . . add -4 to both sides
2h ≤ -7 . . . . . . . . . . variable term isolated
Now, we want to get rid of the coefficient of the variable (make it be 1), so we use the multiplicative inverse. That is, we multiply both sides of the inequality by 1/2, the reciprocal of the coefficient.
(1/2)(2h) ≤ (1/2)(-7) . . . . . multiply both sides by 1/2
h ≤ -7/2 . . . . the solution
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For an inequality, multiplying or dividing by a negative number causes the direction of the comparison to be reversed. (Here, our multiplier was 1/2, not negative, so no such reversal was required.)
<u>Example</u>:
1 < 2
-1 > -2 . . . . . both sides multiplied (or divided) by -1
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<em>Additional comment</em>
As when solving equations, you must do the same thing to both sides of the inequality.
Slope is rise/run
so, you go up 4 times and run across 3 times, this is a positive slope, so the slope is
slope: 4/3
the y-intercept is the line that passes the y-axis, (0, -5),
y-intercept: -5
put it together
4/3x-5
