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RoseWind [281]
3 years ago
6

Which graph represents the solution to the system of inequalities?

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

1st graph on line 2

Step-by-step explanation:

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What is the multiplicative inverse of -1/9
Sedaia [141]
A multiplicative inverse is the same thing as a reciprocal, which is basically just flipping the fraction and changing the sign. Therefore the multiplicative inverse of -1/9 is 9
7 0
2 years ago
Read 2 more answers
Directions:Use the product rule to simplify the following monomials.
nadezda [96]

Answer: -12m^3n^3

Step-by-step explanation:

\frac{1}{4}\left(8mn\right)\left(-6m^2n^2\right)

=-\frac{1}{4}\cdot \:8mn\cdot \:6m^2n^2

=-\frac{1}{4}\cdot \:48mnm^2n^2

=-\frac{1}{4}\cdot \:48m^3nn^2

-\frac{1}{4}\cdot \:48m^3n^3

=-12m^3n^3

6 0
3 years ago
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
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 ≤ 15
r ≥ 5
We 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 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
7 0
3 years ago
Answerrr now. Plsss<br> :)
Lesechka [4]

Answer:

Alternate exterior

Step-by-step explanation:

They are on opposite sides and both exterior

4 0
3 years ago
Directions: Find the Surface Area
kenny6666 [7]

Answer:

Surface area = 92 ft²

Step-by-step explanation:

Formula to find the surface area of a rectangular prism is,

Surface area = 2(lb + bh + hl)

Here, l = length of the prism

b = width of the prism

h = height of the prism

By substituting the measures of the sides given in the picture,

Surface area = 2(2×3 + 3×8 + 8×2)

                      = 2(6 + 24 + 16)

                      = 2(46)

                      = 92 square feet

Therefore, surface area of the given rectangular prism is 92 ft².

4 0
2 years ago
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