Answer: 8 servings can be made
Step-by-step explanation:
Concept:
As we can see from the question there are two different units applied [gallons] and [cups]; therefore, we need to do the unit conversion.
<u>1 gallon = 16 cups</u>
Solve:
Given there are 3 gallons of brown stock, we need to convert gallons into cups.
- 1 gallon = 16 cups
- 3 gallons = 16 × 3 = 48 cups
Then, divide 48 cups by 6 cups to find out how many servings can be made.
- 48 cups / 6 cups = 8 servings
Hope this helps!! :)
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Answer:
(10, -3)
Step-by-step explanation:
Answer:
The invalid statement is 4) Segment AP is congruent to segment PQ.
We conclude that 2) Segment RB is congruent to segment CS.
Step-by-step explanation:
Given, line segment AB & CD
Here, P is the midpoint of AB ⇒ AP=PB
& Q is the midpoint of CD ⇒ CQ=QD
It is given that P is point on AB not on CD ∴ there is no relation of point P with line segment CQ.
Hence, the invalid statement is
Segment AP is congruent to segment PQ.
Now, given that R is the midpoint of AP ⇒ AR=RP
& S is the midpoint of QD ⇒ QS=SD
AB≅CD (Given)
≅
PB ≅ CQ (∵from midpoint statements)
∵ PA=QD ⇒ PR=QS
Because PB≅CQ
PB+PR≅CQ+QS
⇒ RB≅CS
Therefore, Segment RB is congruent to segment CS
Answer:
0.51cm/s
Step-by-step explanation:
Area of a circle A = πr²
r is the radius
Rate of change of area is expressed as;
dA/dt = dA/dr • dr/dt
dA/dr = 2πr
radius r = 77cm
dA/dt = 79cm²
Get dr/dt
Substitute the given values into the formula
79 = 2π(77)•dr/dt
79 = 154dr/dt
dr/dt = 79/154
dr/dt = 0.51cm/s
Hence the rate of change of the radius is 0.51cm/s