What is the BEST deal on rice?

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

11 months ago

Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.

Luba_88 [7]

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)= (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

Learn more about the PROBABILITY here brainly.com/question/25870256

#SPJ4

5 0

1 year ago

A wine maker has 2 wine barrels labeled A and B. There is more wine in barrel A than in barrel B. The wine maker wants the 2 bar

Rudiy27

Answer:

Step-by-step explanation:

Gonna take this nice and slow. First, at the end it says together both barrels have 48 pints when equal, which means added together they have 96. This stays even as we pout from one to the other. So A+B = 96. Keep that in mind. Also I hope you're good with your systems of equations.

One step at a time. We start with A and B

First, he doubles what is in B, which means he takes that much out of A.

A turns to A-B and B turns to 2B, hopefully you understand that.

Second A is doubled, which means that much is taken out of B.

A-B turns to 2(A-B) or 2A - 2B and 2B turns to 2B - (A - B) or 3B - A

Third and finally B is doubled again

2A - 2B turns to 2A - 2B - (3B - A) or 3A - 5B and 3B - A turns to 2(3B - A) or 6B - 2A

Now we have our system.

A + B = 96

3A - 5B = 6B - 2A or to make it a little nicer 5A = 11B

Let me know if you need help witht he system solving, but you wind up with

A = 66

B = 30

Again, let me know if you don't understand some part.

7 0

3 years ago

Read 2 more answers

WILL GIVE 100 POINTS AND BRAINLIEST

Aleks [24]

Answer:

from day 0 to day 8 after the strawberries first ripen.

Step-by-step explanation:

From inspection of the graph, the profit increases from day 0 to day 8 after the strawberries first ripen.

The profit starts to decline after 8 days.

The maximum profit is on day 8

7 0

2 years ago

Read 2 more answers

What is the domain of the function y = l n (x + 2)

Lesechka [4]

x greater than negative 2, because ln(x) is undefined for x <= 0 (-2+2=0, -1.999...+2>0)

8 0

3 years ago

Read 2 more answers