The first tank contains
486 gal - (4 gal/week) <em>t</em>
gal of water after <em>t</em> weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) <em>t</em>
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) <em>t</em> = 648 gal - (7 gal/week) <em>t</em>
(7 gal/week) <em>t</em> - (4 gal/week) <em>t</em> = 648 gal - 486 gal
(3 gal/week) <em>t</em> = 162 gal
<em>t</em> = (162 gal) / (3 gal/week)
<em>t</em> = 54 weeks
Answer:
Set it up as a table and insert the numbers one by one
No matter the number of times you rolled the dice, the probability of getting a number is always 1/6. But here we can choose 4 numbers ( 1 to 4) hence the probability P( 1 or 2 or 3 or 4) = 4/6 2/3 = 0.6667 = 66.67% (A)
Given:
Two endpoints of a diameter of a circle:
P (-7, -10)
Q (3, 2)
a) To find the center of the circle, find the midpoint of the two points:
midpoint:
(x2 - x1 )/ 2 , (y2 - y1) / 2
x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5
Therefore, the center of the circle is at C(4.5, 6.5)
b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.
d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2
The answer is zero.
Explanation:
The 4 is in the ten-thousands place.
Write the number 47,283 with an additional zero in the 100,000 place.
047,283
To round to the nearest 100,000, all digits to the right of the 100,000 place become zero. That means that the digits 47283 all become zero. Since 4 is less than 5, the digit to its left is not raised by 1, so the 100,000 place digit remains zero, and you end up with 000,000, which is simply 0.
Answer: 0
