Answer:
80
Procedure in attached file
Hope it helps
So,
#1:
![n \geq 3 \frac{11}{16} + 4 \frac{1}{2}](https://tex.z-dn.net/?f=n%20%20%5Cgeq%203%20%5Cfrac%7B11%7D%7B16%7D%20%2B%204%20%5Cfrac%7B1%7D%7B2%7D%20)
Convert to like improper fractions.
![n \geq \frac{59}{16} + \frac{72}{16}](https://tex.z-dn.net/?f=n%20%20%5Cgeq%20%20%5Cfrac%7B59%7D%7B16%7D%20%2B%20%20%5Cfrac%7B72%7D%7B16%7D%20)
Add.
![n \geq \frac{131}{16}\ or\ 8 \frac{3}{16}](https://tex.z-dn.net/?f=n%20%20%5Cgeq%20%20%5Cfrac%7B131%7D%7B16%7D%5C%20or%5C%208%20%5Cfrac%7B3%7D%7B16%7D%20)
So, one solution could be
![8 \frac{3}{16}](https://tex.z-dn.net/?f=8%20%5Cfrac%7B3%7D%7B16%7D%20)
.
Another solution could by 9. There is also 10, 11, 12, etc., and all numbers in between.
#2:
![k \ \textless \ 6 \frac{2}{5} * 15](https://tex.z-dn.net/?f=k%20%5C%20%5Ctextless%20%5C%20%206%20%20%5Cfrac%7B2%7D%7B5%7D%20%2A%2015)
Convert into improper fraction form.
![k \ \textless \ \frac{32}{5} * 15](https://tex.z-dn.net/?f=k%20%5C%20%5Ctextless%20%5C%20%5Cfrac%7B32%7D%7B5%7D%20%2A%2015)
Multiply.
![\frac{(2^5)(3)(5)}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%282%5E5%29%283%29%285%29%7D%7B5%7D%20)
Cross-cancel, and we have our final result.
![(2^5)(3) = 96](https://tex.z-dn.net/?f=%282%5E5%29%283%29%20%3D%2096)
k < 96
96 is not a solution.
95 is a solution.
So is 94, 93, 92, etc, and all numbers in between.
The complete question is:
FILL IN THE BLANK: FOOD, HEAT, CABLE, INTERNET, AND DOG FOOD
ARE EXAMPLES OF
A. HOUSEHOLD ASSETS
B. HOUSEHOLD EXPENSES
C. HOUSEHOLD INCOME
D. HOUSEHOLD BUDGETS
Answer:
The correct option is B
Household Expences
Step-by-step explanation:
Household expenses are the costs of maintaining a home, like rent or mortgage payments, utility bills, groceries, etc.
So, food, heat, cable, internet, and dog food are all examples of household expences.
The discriminant of this equation is 49. The solutions for this equation are x=2 and x=-
![\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20)
I hope that helps.
Answer:
b = -8
Step-by-step explanation:
6b = -42
Divide by 6 on both sides
b = -8