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MArishka [77]
3 years ago
15

A juice company sells its product in either a 48-ounce size or a 32-ounce size. It charges $\$3.90$ for the 48-ounce size. How m

uch should it charge for the smaller size if it wants the price per ounce to be $25\%$ more than the price per ounce of the larger size?
Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

Answer:

3.25

Step-by-step explanation:

We could solve this problem by figuring out the per-ounce cost of the 48-ounce package, increasing it by $25\%$, and then multiplying that by 32 for the smaller package. However, if we simply increase the price by $25\%$, and then scale the package size down to 32 ounces from 48 ounces, these are the same calculations, but in a different order that makes it easier to calculate. Thus: $3.90 \times 1.25 \times \frac{32}{48} = \boxed{3.25\text{ dollars}}$

Zigmanuir [339]3 years ago
5 0

Answer:

The company should charge $ 3.25 for the smaller size.

Step-by-step explanation:

The price per ounce of the 32-ounce product is required to be 25% greater than the larger-sized product.

We know that for the size of 48 ounces the price is $ 3.90

So, the price per ounce is:

\frac{3.90}{48}= $ 0.08125

For the smallest size the price per ounce should be 25% higher.

So:

$ 0.08125 (1 + 0.25) = $ 0.10156

The total price for the smallest size is:

$ 0.10156 * 32 = $ 3.25

The company should charge $ 3.25 for the smaller size.

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Kenny has a 1/3 probability of getting a hit and a 1/6 probability of drawing a base-on-balls every time he appears at the plate
Aleonysh [2.5K]

Answer:

He expects that his bonus will be $210,000.

Step-by-step explanation:

For each plate appearence, there are only two possible outcomes. Either he gets on base(base hit or bases-on-balls), or he does not. The probability of getting on base on each plate appearence is independent of other plate appearences. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

600 plate appearances this year

So n = 600.

Expected number of hits

p = \frac{1}{3}

So

E(X) = np = 600\frac{1}{3} = 200

Expected number of base on balls.

p = \frac{1}{6}

So

E(X) = np = 600\frac{1}{6} = 100

Bonus

$1,000 for each hit and $100 for each base-on-balls he gets.

200*1,000 + 100*100 = 210,000

He expects that his bonus will be $210,000.

3 0
3 years ago
On each of n plates there are k apples and m pears. What is the total number of fruit are there on these plates?
Tatiana [17]

Answer:

I Have noidea

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.


8 0
3 years ago
Complete the proof....​
mart [117]

Answer:

2d, 3b

Step-by-step explanation:

pay attention in class

these are simple theorems

i wish you all the best

if you want, i can explain them to you

5 0
2 years ago
1. ∠ PRS and ∠ RPQ are right angles
Blababa [14]

Answer:

Given : PS = QR

            ∠PRS = ∠RPQ

            PR = PR (On the same base)

Proof / Reason :

∠PRS = ∠RPQ (R)

PS = QR          (H)

PR = PR           (S)

Therefore, Triangle PRS is congruent to Triangle RPQ

∠PSR = ∠RQP     By  C.P.C.T. ( Congruent Parts Of Congruent Triangles)

Thanks!


7 0
3 years ago
Read 2 more answers
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