The answer is 0 quarts.
Remember
1 gallon contains 64ounces
1 cup contains 8ounces
1 pint contains 16ounces
We know that 2 gallons (128oz total) are needed to fill the bucket.
First, Omar pours 64 ounces into the bucket so we have 128 - 64 = 64 ounces left to fill.
Second, Penny pours 8 cups which is the same as 64 ounces (8cups x 8 ounces = 64 ounces total) into the bucket.
Stop here and add up the water in the bucket.
The bucket has only 128 ounces capacity total which means Omar and Penny have filled up the bucket with 64 ounces each. 64 x 2 = 128 ounces
The bucket is full, Ronnie actually makes it overflow. So Sierra will pour 0 quarts of water into the bucket.
Let 
be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time 
is given by
and its height is
where 
is 9.8 m/s^2, the magnitude of the acceleration due to gravity.
The time it takes for the cat to hit the ground is with
(Unfortunately, this doesn't match any of the given options...)
The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed was
(Again, not one of the answer choices...)
I'm guessing there's either a typo in the question or answers.
The answer is Vertical angles are equal.
Answer:
(0, 4)
Step-by-step explanation:
To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.
First, let's simplify y = x + 4x + 4 by combining the x's.
y = 5x + 4
Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.
5x + 4 = 2x + 4
Now you want to combine the terms.
[subtract 4] 5x = 2x
[subtract 2x] 3x = 0
Now you want to isolate the x.
[divide by 3] x = 0
Now we want to find y by plugging x = 0 back into the equations.
y = 5(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Check this with the other equation.
y = 2(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Your answer is correct!
(0, 4)
Answer:
The simple solutions are:
Right 6: (-2+6,-3) = (4,3)
Left 6: (-2-6,-3) = (-8,-3)
Up 6: (-2,-3+6) = (-2, 3)
Down 6: (-2,-3-6) = (-2,-9)
Those are for horizontal or vertical
line segments.
Step-by-step explanation:
