The answer would be 36 because you have to simplify
To fill 50 12-fl oz cups, you need 50 * 12 fl oz = 600 fl oz
There are 128 fl oz in a gallon
600/128 = 4.6875
600 fl oz = 4.6875 gallons
600 fl oz is under 5 gallons, so 5 gallons is enough.
1 qt = 32 fl oz
17 qt = 17 * 32 fl oz = 544 fl oz
17 quarts is 544 fl oz, which is under the needed 600 fl oz, so 17 quarts is not enough.
Answer: 5 gallons
Answer:
y = 2500x -4989000
Step-by-step explanation:
To find the slope we use the formula
m = (y2-y1)/(x2-x1)
= (31000-26000)/(2008-2006)
=5000/2
2500
The slope is 2500
Then we use point slope form to write an equation
y-y1 = m(x-x1)
y-26000 =2500(x-2006)
Distribute
y-26000 = 2500x -5015000
Add 26000 to each side
y-26000+26000 = 2500x -5015000+26000
y = 2500x -4989000
Answer: (x + 6)² + (y + 5)² = 17
Explanation:
1) The equation of a circle is: (x - a)² + (y - b)² = r², wnere:
a is the x-coordinate of the center of the circleb is the y-coordinate of the center of the circler is the radius of the circle
2) Since the points (-7,-1) and (-5,9) define a diameter, you can find the center of the circle as the mid point of the diameter:
x-coordinate of the mid point = (-7 - 5) / 2 = - 12 / 2 = - 6
y-coordinate of the mid point = (-9 - 1)/ 2 = - 10 / 2 = - 5
Therefore, the center of the circle is (-6,-5)
3) The radius of the center is half the diameter.
The length of the diameter is found using the formula for the distance between two points applied to the two endopoints given:
diameter² = (7 - 5)² + (- 1 + 9)² = 2² + 8² = 4 + 64 = 68
⇒diameter = √68 = 2√17
⇒ radius = diamter / 2 = 2√17 / 2 = √17
4) Now you can replace the coordinates of the center and the radius into the equation:
(x + 6)² + (y + 5)² = 17
Answer: 20/12
Step-by-step explanation: In order to get a 12 in the denominator
of 5/3, we multiply top and bottom of 5/3 by 4 to get 20/12.
So 20/12 is an equivalent fraction.
