Hello,
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. Therefore:r + y ≤ 15r ≥ 5We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:8r + 12y ≥ 120
What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.If she worked all 15 hours in the restaurant, she would make 8*15 = 120.The maximum number of hours she can work in the restaurant is therefore 15 hours
What is the maximum amount of money Lia can earn in a week? Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work. That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 5*8 + 10*12 = 40 + 120 = 160The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
Hope this helps
~Girlygir101~
Step-by-step explanation:
Here with reference angle 45°
Hypotenuse ( h) = y
Perpendicular (p) = x
base (b) = 5√2
We know
tan 45° = p/b
1 = x / 5√2
Therefore x = 5√2
Now
h = √(5√2)^2 + 5√2)^2
= √ 50 +50
= √100
= 10
Hope it helped
1st half life: 195/2 = 97.5 g
2nd half life: 97.5/2 = 48.75 g
3rd half life: 48.7/2 = 24.375 g
4th half life: 24.375/2 = 12.1875 g
5th half life: 12.1875/2 = 6.09375 g
or you can do
195(2)^(-5) = 6.09375
** rounded to nearest gram = 6 g
Answer:
12
Step-by-step explanation:
f(x) = -x^3 + x^2
Let x = -2
Evaluate the expression
f(-2) = -(-2)^3 + (-2)^2
= - (-2)*(-2) * (-2) + ( -2) * (-2)
= -(-8) + ( 4)
= 8 + 4
= 12
The third one: y-1=56(x+8), in the pair -8, 1 the first number always is "x1" and the second number is always "y1".
So the formula is y-y1=slope(x-x1), you replace your pair and get the third option, you have solve the symbols of course for x
