The question is incomplete. Here is the complete question.
The football team needed to buy Gatorade for Saturday's big game. They have two options. The first option is they can buy it pre-made in 48 ounces bottles for $3.84 for each bottle. Or they can buy packets and mix with water. Each packet makes 64 ounces and will cost $4.80.
a) Find the cost per ounce of each.
b) Which size costs less?
c) The team will need to buy 192 ounces of Gatorade. How much do you save using the choice from answer b?
Answer: a) Pre-made: $0.08 cost per ounce; Packet: $0.075 cost per ounce
b) Packets
c) Save $0.96.
Step-by-step explanation:
a) Cost per ounce:
<u>Pre-made:</u>
= 0.08
<u>Packet:</u>
<u /> = 0.075
b) Comparing costs per ounce, packets costs less than pre-made.
c) Buying packets, the cost will be:
0.075*192 = $14.4
Buying pre-made:
0.08*192 = $15.36
Comparing costs, pre-made is 0.96 more than packets, so <u>they will save </u><u>96 cents</u>.
Answer:
120 degrees
Step-by-step explanation:
interior angle of regular polygon = [ ( n − 2 ) × 180 ] / n
n = number of sides
hence, in b), n = 6
interior angle of regular polygon = [ ( 6 − 2 ) × 180 ] / 6 = 120
Answer:
See explanation and proof below.
Step-by-step explanation:
For this case we want to proof the following:
"Given that V is a finite dimensional and then ST is invertible if and only if S and T are both invertible.
In order to proof this we need to use the following result :"Given a finite dimensional vector space V, for any T \in L(V,V) we have the following properties defined: "invertibility, surjectivity, injectivity".
Proof
(> statement)
For the first part of the proof we can do this. We assume two vectors in V. If we assume that ST is invertible and then we have this :
And since ST is invertible then and that implies that T is invertible.
Now if we select a vector b in V , since we know that ST is invertible, and by the surjective property defined above we have that for any then and we see that and S is surjective and by the result above is invertible.
(< statement)
Now for this part we can assume that S and T are invertible and then for any two vectors . Since S,T are invertible and using the surjective property we have that for any vectors we have that:
And since and because S satisfy the injectivity property that implies:
and we can conclude that and the conclusion is that ST is injective and invertible for this case.
And with that we complete the proof.
Answer:
3/5B - 7 = A
Step-by-step explanation:
Answer:
e
Step-by-step explanation:
k so 48 x 3/3 is equal to 48, 48 x 3/4 is less than 48, and 48 x 4/3 is greater than 48