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.
Answer:
The answer to your question is:
a) C = 2g + 155c
b) g = 25 grapes
c) c = 3
Step-by-step explanation:
Data
grapes = g = 2 calories
cheese = c = 155 calories
a) Equation, we consider the amount of grapes and the calores given.
Total calories = C = 2g + 155c
b) We consider that the slices of cheese stays the same
2g + 155 = 205
2g = 205 -155
2g = 50
g = 50/2 = 25 grapes
c) Then the number of grapes stays the same
2(25) + 155c = 515
50 + 155c = 515
155c = 515 - 50
155c = 465
c = 465/155
c = 3 slices of cheese
X + 3y = 7
x = -3y + 7
2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3
x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2
solution is (-2,3)
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
step 1
Let
r ---> the radius of the sector
s ---> the arc length of sector
Find the radius r
we know that



solve for r

step 2
Find the value of s

substitute the value of r

step 3
we know that
The area of complete circle is equal to

The complete circle subtends a central angle of 2π radians
so
using proportion find the area of the sector by a central angle of angle theta
Let
A ---> the area of sector with central angle theta

substitute the value of r


Convert to function notation

1+2 equals three i used a calculator