Answer:
They must work for more than 4 hours for Tom's bonus to be greater than Sara's
Step-by-step explanation:
Tom pay: 12.75x+25
Sara pay: 11.75x+29
Tom>Sara = 12.75x+25>11.75x+29
subtract 25 both sides
12.75x>11.75x+4
subtract 11.75x both sides
x>4
Given:
Let t = number of hours worked
Let p = money in the paycheck
And the relationship between the two variables varies DIRECTLY, thus they are equated with one another.
Well anyway, you can write this simple equation for their relationship:
16t=124p
Then you derive if you want to get the number of hours or the amount paid:
1) 16t/16= 124p
t = 124p/16
t=7.75p
or
2) 124p=16t
124p/124= 16t/124
p = 0.129t
Answer:
n/5 - 11 = -13
Step-by-step explanation:
We must do the division first, before the subtraction:
"the quotient of a number and 5" is n/5."
"11 subtracted from this result" comes out to n/5 - 11 = -13.
This is the answer. We were not asked to simplify it. But if we want to simplify it, we add 11 to both sides, obtaining n/5 - 2.
Answer: 37 units
Step-by-step explanation:
This also works as the height of the triangle.
This also works as the base of the triangle.
Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.
To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.
![s=\sqrt[]{A}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7BA%7D)
Let's work with Blue.
![s=\sqrt[]{144units^2} \\s=12units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B144units%5E2%7D%20%5C%5Cs%3D12units)
Now Pink.
![s=\sqrt[]{1225units^2}\\s=35units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B1225units%5E2%7D%5C%5Cs%3D35units)
So we have a triangle with a base of 35 units and a height of 12 units.
Now let's use the pythagoream's theorem to solve.
![c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2%5C%5Cc%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D%20%5C%5Cc%3D%5Csqrt%5B%5D%7B%2812units%29%5E2%2B%2835units%29%5E2%7D%5C%5Cc%3D%5Csqrt%5B%5D%7B144units%5E2%2B1225units%5E2%7D%5C%5C%20c%3D%5Csqrt%5B%5D%7B1369units%5E2%7D%5C%5C%20c%3D37units)
