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3 years ago

Identify the graph of the system of inequalities. 3 y? 2x n 10x + 20y < 300

Mathematics

2 answers:

boyakko [2]3 years ago

7 0

yesmfffStep-by-step explanation:f56t53433

6566666666

natali 33 [55]3 years ago

7 0

Answer: it’s the 1st one

Step-by-step explanation:

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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

10 months ago

What is the slope of the line through -7,-8 and (0,4)?

Sphinxa [80]

Answer:

A: 12/7

Step-by-step explanation:

4 0

2 years ago

F Tell whether the statement is true or false.

Kitty [74]

Answer:

A true

Step-by-step explanation:

It is the correct answer i have read this

7 0

3 years ago

Which quadrant point is in (2,5)

n200080 [17]

Answer:

Sweets are sold loose, or pre-packed in 120g bags.

The 120 g bags are £1.49 each.

The loose sweets are £0.89 for 100g.

By calculating the price per gram, determine which is better value. Show your working.

5 0

2 years ago

You deposit $400 into an account that pays 2% annual interest compounded quarterly.

jeka57 [31]

A.

A = 400 (1 + (0.02)/4)^4t where t = number of years and A = amount after t years
simplifying that becomes

A = 400 (1.005)^4t

b amount after 5 years is

400 (1.005)^(4*5) = 400 (1.005)^20 = $ 441.96

4 0

3 years ago

Read 2 more answers