Answer:
7 1/2 cups
Step-by-step explanation:
If Carol uses 1 1/4 cups of flour for 2 muffins, then she will need to repeat this conversion 6 times since she wants to make identical 12 muffins in all.
So, 1 1/4 * 6 = 7 1/2
Therefore, she needs 7 1/2 cups of flour
Hope that helps! :)
2x+5=11
2 times x and 5 is 11.
<u>Solution-</u>
The given inequalities are,
<u>Part A</u>
As the former inequality is only '<' so it will be represented as dotted line, but in case of the later inequality there is '≥' so it will be represented as a solid line.
This happens because in only '<, >' the values must be either lesser or greater than y, they can't take the values of y, but in case of '≤, ≥' the values can be equal to y.
Taking origin (0, 0) and putting in the first inequality.
As the equation does not satisfy, so the shaded area will be on the other side of the origin.
Again taking origin (0, 0) and putting in the second inequality.
As the equation does not satisfy, so the shaded area will be on the other side of the origin.
The second attachment contains the feasible region.
<u>Part B</u>
In order to know whether the point (3, −7) is included in the solution area for the system or not, we must put it in both the equations, if it satisfies both then only it is within the solution area.
As the point (3, -7) only satisfies first inequality, but not the second inequality so this point won't be in the solution area.
Answer:
$131250
Step-by-step explanation:
Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)
Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%
2,500,000 ÷ 100 = 25000
Step 2. Multiply this number by the specific percentage (2.65)
25000 x 2.65 = 66250
Now add the commission and the yearly salary
65000 + 66250 = 131250
Hence, total earnings of Talia were $131250
Answer: Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Step 1: Determine the ordered pair
To start off, let’s find the ordered pair. This will eliminate two of the options; two of the potential answers state that the ordered pair is (0,-6), while the other two say that it is (-6,0).
To find the ordered pair, let’s look at the y-intercept. We are told that it is -6. This means that the point on the y-axis is -6, while the x-axis will remain at 0. Let’s put this information into a point, with 0 as x and -6 as y. This will be (0, -6).
Now that we know that (0, -6) is the ordered pair, we know to eliminate options 3 and 4. This leaves us with only options 1 and 2 as potential answers.
Step 2: Determine how to find slope
The final thing we need to do is determine how to find the slope. We are told that the slope is 2, but the two answers we have left ask us to explain how to proceed. We could either move up 2 and over 1 on the right, or move up 2 and over 1 on the left.
To find this, let’s examine the slope. As you may know, points on the graph go left if the slope is negative, and points on the graph to right is the slope is positive.
Since our slope is positive. We will go up 2 and over 1. This will bring us our final answer by eliminating option 2. Option 1 is our answer!!
Step 3: Write out final answer
Now that we eliminated all the invalid options, let’s write out our final option as our answer.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Hope this helps! Comment below for more questions.
