Answer:
<em>Part A: </em>
<em>c = 1.15p</em>
<em>c(2) = $2.30</em>
<em>Part B: </em>
<em>c = 0.90p</em>
Part B:
Step-by-step explanation:
<u>Linear Models</u>
Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.
Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:
c = 1.15p
The cost of shipping p=2 pounds of candy is:
c = 1.15*2 = 2.30
c = $2.30
Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.
The new equation to determine the total cost for p pounds of candy is:
c = 0.90p
Answer:
F
Step-by-step explanation:
if you do the math you end up with 49 which is a perfect square of 7
To prove the QRST is a parallelogram.
Step 1: Given
and 
Step 2:
are alternate interior angles.
Definition of alternate interior angles
Step 3: Alternate interior angle theorem:
If two parallel lines cut by a transversal then the alternate interior angles are congruence.
QR and TS are parallel lines cut by QS.
Therefore, 
Step 4: Reflexive property of congruence:
Any geometric figure is congruence to itself.
Therefore, 
Step 5: By the above steps
(Angle),
(Angle) and
(Side)
Hence
(by ASA congruence theorem)
Step 6: Corresponding parts of congruence triangles are congruent.

Step 7: Property of parallelogram:
If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.
Hence Quadrilateral QRST is a parallelogram.
Answer:
144
Step-by-step explanation:
Volume of a Sphere :
V = 


V = 


V =
(216)
(216 times 4, divided by 3)
V = 288
Now divide by 2, it's only half of a sphere.