Answer:
Samuel slept for 1/4 of the distance.
Step-by-step explanation:
The information provided are:
- Samuel fell asleep halfway home.
- He didn't wake up until he still had half as far to go as he had already
- gone while asleep.
Consider that the total distance covered was 1.
Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.
It is provided that he woke up only after covering half of the remaining distance.
That is, he slept for 1/4 of the remaining distance.
Thus, Samuel was asleep for 1/4th of the entire trip home.
Answer:
W (3 , 4) or W (3 . -4)
Step-by-step explanation:
W (3 , y), origin (0 ,0)
WO = √(3-0)²+(y-0)² = √9+y²
WO = 5
√9+y² = 5
9+y² = 25
y² = 16
y = ± 4
W (3 , 4) or W (3 . -4)
Answer:
4/9 * 7 =3.11111111
Step-by-step explanation:
4/9 * 7 =3.11111111
So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: 
<u>Now you can rewrite this as
, which is your final answer.</u>
Answer: 120 grams.
Step-by-step explanation:
Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.
Also, 5% =0.05
Therefore, 5% sugar syrup =5% of x = 0.05x
According to the question, we have

Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.