1. Gala Farms sells a 3.5 pound bag of applesfor $4.20. Golden Orchard sells a 5 pound
bag for $5.25. Which brand of apples is the
better buy? What is the cost per pound of the
cheaper brand?


PLSHELPLSPLS

Step-by-step explanation: To multiply the square root of 3 times the square root of 21, we simply multiply the numbers that are inside the square roots together.

So, root 21 × root 3 equals root 63.

Next, we simplify the square root of 63. 63 factors as 3 x 21 and 21 factors as 3 x 7. So we have a pair of 3's which means a 3 can come out of the radical and the 7 doesn't pair up stays in the radical so our final answer is .

3√7 is the simplified value of the given expression.

To simplify the expression √3 * √21, we can combine the square roots and simplify under one radical if possible.

√3 * √21 = √(3 * 21)

Simplifying the product inside the radical:

√(3 * 21) = √63

Now, we can simplify further by factoring 63 into its prime factors:

√(3 * 21) = √(3 * 3 * 7)

Taking the square root of each factor:

√(3 * 3 * 7) = √3 * √3 * √7 = 3 * √7

Therefore, √3 * √21 simplifies to 3√7.

Learn more about Mathematical operations here:

brainly.com/question/20628271

#SPJ6

Answer:

2^(8p) =2^(5p+15)

Step-by-step explanation:

16 ^ 2p  = 32 ^ (p+3)

Rewrite each number as a power of 2

16 = 2^4

32 = 2^5

2^4 ^ 2p =2^5 ^ (p+3)

We know a^b^c = a^(b*c)

2^(4 * 2p) =2^(5 * (p+3))

2^(8p) =2^(5p+15)

Answer:

18.84

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C=πd=π·6=18.84ft