We already know that the area of the rectangle increased by a square of the factor 7. So the dilated area of it (which we will call "Ad"), is:
Ad= (47)(7^2)
Ad= 47x49
Ad= 2303 m^2
What is the area of the dilated rectangle? The area of the dilated rectangle is 2303 m^2.
-45 + 150 = 105
Carol has $105 in her account after receiving her paycheck.
Answer:
Danny will watch all of them on the same day again on August 31
Step-by-step explanation:
Here, we have a word problem.
The shows and frequency of watching are;
Show A Every 2 days
Show B Every 3rd day
Show C Every 5th day
Show D Every 10th day
Danny watched all four shows on August 1, therefore, the day he will watch all four shows can be found by finding the Lowest Common Multiple, LCM of the frequency of his watching each of the shows. That is, the LCM of 2, 3, 5 and 10
Therefore we have, since 10 is the highest frequency and 3 is not a factor of 10, then the LCM that applies to 3 and 10 is 3×10 = 30.
Since the other frequencies are also a factor of 30, then the LCM of 2, 3, 5, and 10 is 30
Therefore, Danny will watch all four shows again on the same day again in 30 days after August 1. That is August (1 + 30) = August 31.
Answer:
-2f - 25
Step-by-step explanation:
Original expression: -2.3f + 0.3f - 16 - 9
Combine like terms : -2.3f + 0.3 f = -2f
-16 -9 = -25
So the final answer or expression is: -2f -25