Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h
2 answers:
Answer: Ronald spent hours on his homework.
Step-by-step explanation: Given that Candice spent hours doing her homework. Her brother, Ronald, spent half of that number of hours doing his homework.
We are to find the number of hours that Ronald spent on his homework.
Since Ronald spent half of the time as his brother Candice, so the number of hours that Ronald spent on his homework is given by
Thus, Ronald spent hours on his homework.
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Answer:
and
Step-by-step explanation:
We have the following system of equations:
and
To solve the problem, we need to equal the two equations:
⇒
⇒
⇒
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are and
.
Then, the factorized form of the polynomial is: .
The, the solution to the system of equations is: and
.
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band
[recall 
or 20(x+5) if you wish.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band