Answer:
80 distributions of the three scholarship are possible.
Step-by-step explanation:
Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:
4 x 5 x 4 = X
20 x 4 = X
80 = X
Therefore, 80 distributions of the three scholarship are possible.
Answer: he read 59 pages on Wednesday
Step-by-step explanation:
Total number of pages in the book is 473 and Raoul has to finish in a week.
The total number of days in a week is 7.
Let x represent the number of pages that he read I'm each day of the week. He decided to read 30 extra pages on Saturday and on Sunday. This means that sum of pages that he read on Saturday is
x + 30 and sum of pages that he read on Saturday is x + 30.
Total number of pages that he read on each of the other five days is 5x
Total number of pages read in the week would be
5x + x + 30 + x + 30 = 7x + 60
Therefore
7x + 60 = 473
7x = 473 - 60 = 413
x = 413/7 = 59
2x^2-4x-30 would be your answer
<span><span>(<span><span>2x</span>−10</span>)</span><span>(<span>x+3</span>)
</span></span><span>=<span><span>(<span><span>2x</span>+<span>−10</span></span>)</span><span>(<span>x+3</span>)
</span></span></span><span>=<span><span><span><span><span>(<span>2x</span>)</span><span>(x)</span></span>+<span><span>(<span>2x</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−10</span>)</span><span>(x)</span></span></span>+<span><span>(<span>−10</span>)</span><span>(3)
</span></span></span></span><span>=<span><span><span><span>2<span>x2</span></span>+<span>6x</span></span>−<span>10x</span></span>−30
</span></span><span>=<span><span><span>2<span>x2</span></span>−<span>4x</span></span>−<span>30</span></span></span>
Answer:
40 problems in 100 minutes
Step-by-step explanation:
This is a ratio problem.
You first divide 30 minutes by three to get how many problems she can do in 10 minutes. What you do to one side you do to the other side. So then, you should have 4 problems in 10 minute. Then, you multiply 10 by 10 and 4 by 10 to get 40 problems in 100 minutes.
