Answer:
Angle measure KRQ is 146 degrees
Step-by-step explanation:
Here, we want to find the measure of the indicated angle
From what we have in the question;
angle measure KRQ is corresponding to angle measure KNM
Mathematically, when two angles are corresponding to each other, their values are equal
What this means is that the value of the measure of KRQ is 146 degrees too
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.
Answer:
11/6
Step-by-step explanation:
<u>Step 1: Convert to Improper fractions</u>
3 1/3 = 3*3/3 + 1/3 = 9/3 + 1/3 = 10/3
1 1/2 = 1*2/2 + 1/2 = 2/2 + 1/2 = 3/2
<u>Step 2: Make common denominators</u>
10/3 * 2/2 = 20/6
3/2 * 3/3 = 9/6
<u>Step 3: Subtract</u>
20/6 - 9/6
11/6
Answer: 11/6
Answer:
The probability that Scott will wash is 2.5
Step-by-step explanation:
Given
Let the events be: P = Purple and G = Green


Required
The probability of Scott washing the dishes
If Scott washes the dishes, then it means he picks two spoons of the same color handle.
So, we have to calculate the probability of picking the same handle. i.e.

This gives:










<em>Note that: 1 is subtracted because it is a probability without replacement</em>
So, we have:





Answer:
3
Step-by-step explanation:
substitute x = 4 , y = 6 into the expression
y - (5 - (x - y))
= 6 - (5 - (6 - 4))
= 6 - (5 - 2))
= 6 - 3
= 3