A family drove to their grandmother's house after the average 200 miles per day

The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for th

Karo-lina-s [1.5K]

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14

3 0

3 years ago

Compute the total and annual return on the following investment Two years after paying 53500 for shares in a startup company you

wel

Answer:

-46.91%

Step-by-step explanation:

Given:

Cost of buying the shares = $53,500

Selling cost of the shares = $3,300

Number of years = 2

Since the selling cost is less than the buying cost, therefore the statement for the loss can be verified

Now,

The loss = Selling cost - cost of buying = $3,300 - $53,500 = - $50,200

thus, the loss per year = $\frac{\textup{50,200}}{\textup{2}}$ = -$25100

Hence,

Rate of return = $\frac{\textup{Loss per year}}{\textup{Cost of buying}}\times100$

or

Rate of return = $\frac{\textup{-25100}}{\textup{53,500}}\times100$

or

Rate of return = -46.91%

4 0

3 years ago

A number cube with the numbers 1 through 6 is rolled. What is the theoretical probability, as a decimal, of the number cube show

Zina [86]

The theoretical probability of rolling a three would be 1/6.
1/6 expressed as a decimal would be 0.17.

4 0

3 years ago

Read 2 more answers

Consider the line 7x+9y=5

alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

Step-by-step explanation:

We know the slope-intercept form

$y=mx+b$

Here,

m is the slope

b is the y-intercept

Given the equation

$7x+9y=5$

simplifying to write in the lope-intercept form

$y=-\frac{7}{9}x+\frac{5}{9}$

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

4 0

3 years ago

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost

sleet_krkn [62]

It costs $ 3.4 to fill the hot tub

<h3>Solution:</h3>

Given that, You are putting a rectangular hot tub on your back porch

The rectangular hot tub is of shape cuboid

The volume of cuboid is given as:

$\text{Volume of cuboid } = length \times width \times height$

It is 6 feet long, 5 feet wide, and 3 feet deep

Therefore,

length = 6 feet

width = 5 feet

height = 3 feet

Thus volume of rectangular hot tub is:

$volume = 6 \times 5 \times 3 = 90$

Thus volume of rectangular tub is $90 ft^3$

Convert feet to gallons

We know that,

1 cubic feet = 7.48052 gallon

Therefore,

90 cubic feet = 7.48052 x 90 = 673.247

Thus gallons of water tub can hold is 673.247 gallons

Given that it costs $ 5 per 1000 gallons

1000 gallons = $ 5

Therefore,

1 gallons = $ $\frac{5}{1000}$

Find for 673.247 gallons

673.247 gallons = $\frac{5}{1000} \times 673.247 = 3.366235 \approx 3.4$

Thus it costs $ 3.4 to fill the hot tub

5 0

3 years ago