Write a different expression that has the same quotient as (−3)/8 and −(3/8) .

Determine if the equation is linear. If so, graph the function.

musickatia [10]

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

$\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}$

Express y in terms of x:

$\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}$

The linear function must of form

$y=mx+b,$

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.

5 0

4 years ago

The perimeter of a rectangular painting is 364cm . If the length of the painting is 96cm, what is its width?

hram777 [196]

Answer:

The width would be 86cm

Step-by-step explanation:

Perimeter is (Width*2) +(Length*2)

Length is 96, multiply by 2 : 96*2 = 192

Subtract this from the total perimeter (364-192 = 172)

Divide this by 2 to get 1 width value (172/2 = 86)

86 cm

6 0

3 years ago

Ratio And Proportion

Allushta [10]

Answer:

11200 for 7 engines for a total of 80 hours

Step-by-step explanation:

You have 8 engines burning 12000 .for 10 hours.

Divide 10 hours into 12000=1200 PER hour.

1200 ÷8 engines = 140 per hour per engine.

140 × # of hours (12)=1680 for 12 hours per engine.

# of engines × 1680 for 12 hour/per engine

5×1680 = 8400 of fuel for 12 hours/5 engine

Then you have 2 that runs 10 hours

2 × 140 per hour per engine =280 × 10 =2800 for 2 engines for 10 hours

8400. + 2800= 11200 of fuel for 6 engines

4 0

3 years ago

Find the length of side x in simplest radical form with a rational denominator.<br> X

Aleks04 [339]

Nxjxixjjxxjxjxjxjxj snznznxjx

4 0

3 years ago

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

1 year ago