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3 years ago

Find a number that is 6 less than ，3 divided by 5

Mathematics

2 answers:

VMariaS [17]3 years ago

8 0

Answer:

$-\frac{27}{5}$

Step-by-step explanation:

Set up the equation:

$\frac{3}{5} - 6$

Simplify the equation:

$\frac{3}{5} - 6\\=\frac{3}{5} - \frac{30}{5} \\=-\frac{27}{5}$

djverab [1.8K]3 years ago

6 0

Answer:

-3.06

Step-by-step explanation:

3-6=-3

-3/5=-0.6

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What is the area of this triangle?

amid [387]

We can solve for the 3 triangle sides.
The left side is easy 6.
Second side² = 7² + 4²
Second side² = 49 + 16
Second side = square root (65)
Second side = 8.0622577483 
Third Side² = 7² + 2²
Third Side² = 53
Third Side = 7.2801098893 
When we know 3 sides, we use Heron's formula for calculating area:
Perimeter = 21.3423676376 
Semi-Perimeter = 10.6711838188 
Using Heron's Formula
area = square root (10.6711838188 * 4.6711838188 * 2.6089260705 * 3.3910739295 )
area = square root (441)
area = 21

Yes, it's just that "easy". LOL

7 0

4 years ago

6y^-4 using only positive exponents

Harlamova29_29 [7]

Y⁻¹ = $\frac{1}{y^{4} }$

$y^{-4} = \frac{1}{y^{4} }$

$6*\frac{1}{y^{4} }$
= $\frac{6}{y^{4} }$

6 0

3 years ago

The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t

barxatty [35]

Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level. The derivative R' of the function R measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

$R'(x) = -0.1x+40$

(a) To find the the daily total revenue you must:

Integrate the daily marginal revenue function,

$\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C$ ,

where C is a constant.

Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

$0=-0.05(0)^2+40(0)+C\\C=0$

$R(x)=-0.05x^2+40x$

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

$R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195$

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

Find the daily total revenue realized from the sale of 310 units

$R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595$

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

$R(310)-R(210)=7595-6195=1400$

3 0

4 years ago

By which transformation can the set representing the inverse of a function be found?

Marina CMI [18]

Answer:

C. reflection about the line y = x

Step-by-step explanation:

C. reflection about the line y = x

4 0

4 years ago

Match the equivalent expressions.

yarga [219]

Answer:

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

Step-by-step explanation:

In order to match the equivalent expressions we have to put each expression in its simplest form

So,

$x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12$

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

3 0

4 years ago