Answer:
C
Step-by-step explanation:
Area of a circle = pi × r²
Area = 3.14 × 16²
803.84 cm²
Answer:
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Step-by-step explanation:
A 14 -pound mixture of coffee that contains both decaffeinated and regular coffee costs $37. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound.
Let the number of pounds of:
Decaffeinated coffee = x
Regular coffee = y
Hence, our system of equations =
x + y = 14..... Equation
x = 14 - y
2x + 3y = 37....... Equation 2
We substitute 14 - y for x in Equation 2
= 2(14 - y) + 3y = 37
= 28 - 2y + 3y = 37
= - 2y + 3y = 37 - 28
= y = 9 pounds
Solving for x
x = 14 - y
x = 14 - 9
x = 5 pounds
Therefore,
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Answer:
Step-by-step explanation:
, which is our answer.
Hope this helps!
Answer: 8 + 2/3 batches of brownies you can bake.
Step-by-step explanation:
6 1/2 butter = 6 + 1/2 = (2·6 + 1)/2 = 13/2 sticks of butter, we have this
Since we have 13/2 sticks of butter and each batch of brownies needs 3/4 of a stick of butter, we have to divide the amount of butter we have between the amount of butter we use to bake a batch of brownies.
13/2 butter ÷ 3/4 butter/batch = 13·4/2·3 batches = 52/6 batches = 8 + 2/3 batches
Answer: 8 + 2/3 batches of brownies you can bake.
Answer:
Option B: If two lines are parallel, then alternate interior angles are
congruent.
Step-by-step explanation:
Notice that angles 3 and 6 are INTERNAL relative to the parallel lines, that is located in between the parallel lines. They are also alternate angles. Therefore, the correct answer is:
"If two lines are parallel, then alternate interior angles are congruent."