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2 years ago

What's the simplified expression of 6x2y3/2x−2?

Mathematics

2 answers:

GenaCL600 [577]2 years ago

5 0

Answer:

3x4y3 just got this on a test and it was right

Step-by-step explanation:

laila [671]2 years ago

4 0

Step-by-step explanation:

6x^2y^3/2x-2

=6x^2y^3/2 (x-1)

=3x^2y^3/(x-1)

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A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?

Travka [436]

Answer:

$area=\frac{85}{4}feet^{2}$

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

$perimeter=18\frac{1}{2}\\\\length=5$

$2(length+width)=perimeter$

Substitute,

$2(5+width)=18\frac{1}{2}$

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

$2(5+width)=\frac{37}{2}$

Inverse operations,

$2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}$

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

$length=5\\\\width = \frac{17}{4}$

$length*width=area$

Substitute,

$5*\frac{17}{4}\\\\=\frac{85}{4}$

$area=\frac{85}{4}feet^{2}$

4 0

3 years ago

An airplane is preparing to land at an airport. It is 53100 feet above the ground and is descending at the rate of 3300 feet per

Crank

9514 1404 393
Answer:
after 7 minutes
19,600 feet
Step-by-step explanation:
Here's the "pencil and paper" solution:
The two altitude equations are ...
y = 41300 -3100x
y = 2800x
They can be solved by setting the expressions for y equal to each other.
2800x = 41300 -3100x
5900x = 41300
x = 41300/5900 = 7
y = 2800·7 = 19600
The planes will both be at 19,600 feet after 7 minutes.

7 0

2 years ago

Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?

DochEvi [55]

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is $\frac{x}{a} +\frac{y}{b} =1$

Now convert the above given line to the standard form

Divide the line by 30 we get

$\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}$

$\frac{x}{15} -\frac{y}{\frac{30}{R} } =1$

Here the y-intercept is 30/R

Given y-intercept = 5

$\frac{30}{R} =5$

R = 6

4 0

2 years ago

4-58. Lisa plans to retire on her 61st birthday. On her

mojhsa [17]

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒ $A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0$