Answer:
12 blue necklaces + 12 red necklaces = 24 necklaces. He will have 1 blue bead left over and 1 red bead left over.
Step-by-step explanation:
37/3 = 12.333 or 12 r1
25/2= 12.5 or 12 r1
1+1=2
We can set up an equation: x * (x + 5) = 564, where x is the length of the rectangle we are trying to solve. Using the quadratic formula to solve this, we eventually come up with approximately 21.38 as a value for x. We can verify this by typing 21.38 * (21.38 + 5) into a calculator and seeing that it approximately equals 564.
You need to calculate 12% of 800.
To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)
12% of 800 =
= 12% * 800
= 0.12 * 800
= 96
Answer: 96 students
Answer:
Caleb arrived first 2 hours before Alyssa
Step-by-step explanation:
To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.
Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.
Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.
Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.
He arrived in 210/42 = 5 hours.
Alyssa arrived in 210/30 = 7 hours.
He arrived 2 hours before her.
The return on equity for the firm is 18.75%.
<h3>Return on equity</h3>
Return on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]
Let plug in the formula
Return on equity=.15+ [(.75)× (.15-.10)]
Return on assets=.15+ (.75×0.05)
Return on assets=.15+0.0375
Return on equity=0.1875×100
Return on equity=18.75%
Therefore the return on equity ratio is 18.75%.
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