Answer:
Step-by-step explanation:
3.2 times 1.5 plus 6 times4.2= 30 meters of carpet.
Answer:
From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

Therefore,


<u>Multiplication Rule for Independent Events</u>
For independent events A and B:
Therefore,

<h3><u>Conclusion</u></h3>
Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
Answer:
B) 5 + 17i is your answer.
Step-by-step explanation:
In order to write this equation as a complex number in standard form, you must first simplify each term.
<em>Apple the distributive property.</em>
21 - 4i - 1 * 16 - (7i) + 28i
<em>Multiply -1 by 16.</em>
21 - 4i -16 - (7i) + 28i
<em>Multiply 7 by -1.</em>
21 - 4i - 16 - 7i + 28i
<em>Now simplify by adding terms :)</em>
<em>Subtract 16 from 21.</em>
5 - 4i - 7i + 28i
<em>Subtract 7i from -4i.</em>
5 - 11i + 28i
<em>Add -11i and 28i.</em>
= 5 + 17i
Answer:
The Average rate of the first plane is 560 mph
Step-by-step explanation:
x = first plane's average rate (in mph)
x−108 = second plane's average rate (in mph)
First planes total distance = 2.25x
Second planes total distance = 1.25(x−108)
2.25x + 1.25(x−108) = 1825
x = 560
Using proportions, it is found that the thickness of the icing between the layers, in inches, is of:
E 1 inch
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, there are six layers, each measuring 1.25 inches tall, hence the height of these layers is:
6 x 1.25 = 7.5 inches
Then the height of the icing between the layers is of:
13.5 - 7.5 = 6 inches
Six layers, hence each icing is of:
6/6 = 1 inch
More can be learned about proportions at brainly.com/question/24372153