To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.
Here are the steps:
1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440
2. 0.55 x 1440 (55% are chocolate) = 792 chocolate
3. 1440 - 792 (the remaining number of cupcakes)=648
4. 1/3(33 1/3%) x 648 = 216 red velvet
5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes
Chocolate-792
Red velvet - 216
Vanilla - 432
Well since there is five people the answer is 40$.
Answer:
<u>Given expression:</u>
<u>The first root is valid when:</u>
- 2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1
<u>The second root is valid when:</u>
- 6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5
<u>So the variable x can get values within interval:</u>
- -1 ≤ x ≤ 1.5 or
- x = [-1, 1.5]
The diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B
<h3>What is a locus?</h3>
A locus is defined as a set of points, which satisfies a given condition or situation for a shape or a figure.
It is important to note that:
- The locus of points in a plane that are all the same distance from a single point is a circle with radius, r
- A circle is the locus of all the points in the plane which are equidistant from the points in that plane
- The locus of all points equidistant from the vertices of a square is a straight line that is perpendicular to the plane of the square, through the center of the square
We can see that for a circle, the locus of all points in the plane is the radius equidistant from that line.
Thus, the diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B
Learn more about locus here:
brainly.com/question/23824483
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Multiply 140 on both sides to get "x" by itself
8 = x
