Answer:
Step-by-step explanation:
We have been given the intersection coordinates:
(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t
From the condition of perpendicularity we know:
Now, we have given x=-1+t , y=-2+t and z= -1+t
Now, substituting t in the given coordinates x,y and z we get:
And
Answer: The correct option is
(D) 60.
Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.
After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.
We are to find the number of stamps that Kaye had more than Alberto.
Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.
Then, according to the given information, we have
So, the number of stamps that Kaye had = 5 × 30 = 150
and
the number of stamps that Alberto had = 3 × 30 = 90.
Therefore, the number of stamps that Kaye had more than Alberto is
Thus, Kaye had 60 stamps more than Alberto.
Option (D) is CORRECT.
Question:
A camel can drink 25 gallons of water in 10 minutes. How many cups of water can the camel drink in 10 minutes?
Solution:
A)
1 cup = 0.25 quarts.
4 quarts= 1 gallon
Then, according to this information, we get the following table:
B)
Note that 4 quarts= 1 gallon, then 1 gallon is equivalent to 16 cups.
C)
Then, 25 gallons are equivalent to:
D. According to the above information, we obtain that 25 gallons of water are 400 cups .
So that, we can conclude that the correct answer is:
The camel can drink 400 cups of water in 10 minutes
