What is the result of 8 2/8 - 6 5/8

Answers

Answer 1

Answer: $8 (2)/(8)-6 (5)/(8) \n \n 8 (1)/(4) - 6 (5)/(8) \ / \ simplify \n \n (8 * 4 + 1)/(4) - 6 (5)/(8) \ / \ convert \ to \ improper \ fraction \n \n (32+1)/(4) 6 (5)/(8) \ / \ simplify \n \n (33)/(4) - 6 (5)/(8) \ / \ simplify \n \n (33)/(4) - (48+5)/(8) \ / \ simplify \n \n (33)/(4) - (53)/(8) \ / \ simplify \n \n LCD = 8 \ / \ least \ common \ denominator \n \n (33 * 2)/(4 * 2) - (53)/(8) \ / \ multiply \n \n$
$(66)/(8) - (53)/(8) \ / \ simplify \n \n (66-53)/(8) \ / \ combine \ denominators \n \n (13)/(8) \ / \ simplify \n \n 1 (5)/(8) \ / \ convert \ to \ mixed \ fraction \n \n Answer: \fbox {1 / 5/8} \ or \fbox {1.625}$

Answer 2

Answer: $8 (2)/(8) - 6(5)/(8) =((8*8)+2)/(8)-((6*8)+5)/(8)= (64+2)/(2)-(48+5)/(8)=(66)/(8)-(53)/(8) =(13)/(8)\n\n=\boxed{\bf{1(5)/(8)}}$

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How are variables use to show relationship??

Answers

A cause and effect relationship between two variables, A and B, is written A then B, or in formal logic: A => B (A implies B).

Verify: (sinx+cosx)^2=1+sin(2x)

Answers

(sinx + cosx)² = 1 + sin(2x)

Since (a + b)² = (a + b)(a+b):
(sinx + cosx)(sinx + cosx) = 1 + sin(2x)

Now, multiply each member with another:
sin²x + sinxcosx + sinxcosx + cos²x = 1 + sin(2x)
⇒ sin²x + cos²x + 2sinxcosx = 1 + sin(2x)

Since sin²x + cos²x = 1 (Pithagorean identity):
1 + 2sinxcosx = 1 + sin(2x)

Since 1 + 2sinxcosx = 1 + sin(2x) (Double-angle identity):
1 + sin(2x) = 1 + sin(2x)

1)what is the y-coordinate of the solution to the system of equations?

x-y=12
27+3y=2x

2)what is the y-coordinate of the solution to the system of equations?

y=2x+14

-4x-y=4

Answers

ok so basically solve for y

x-y=12
27+3y=2x

27+3y=2x
subtract 3y from both sides
27=2x-3y
2x-3y=27

x-y=12
multiply by -2
-2x+2y=-24

add them
2x-3y=27
-2x+2y=-24 +
0x-1y=3

-y=3
y=-3
y coordinate is -3

2.
y=2x+14
-4x-y=4

y=2x+14
subtract 2x from both sides
y-2x=14
mulitply both sides by -2
-2y+4x=-28

add the 2 equations

-2y+4x=-28
-y-4x=4 +
-3y+0x=-24

-3y=-24
divide both sides by -3
y=8

y coordinate is 8

1. y coordinate is y=-3

2. y coordinate is y=8

Answer:

1. -3

2. 8

Step-by-step explanation:

If the sphere shown above has a radius of 14 units then what is the approximate volume of the sphere

Answers

Answer:

About 11494.04

Step-by-step explanation:

There is no sphere shown above but I can still get you the answer:

The formula for the volume of a sphere is $(4)/(3) *$ π*r³

Putting in the radius, we get:

$(4)/(3)$ *π*14³=

$(4)/(3)$ *π*2744=

$(10976)/(3)$ *π=

3658.66*π≈11494.04

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

The equation of line passes through points $\left({ - \,4, - \,3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$ .

Further explanation:

It is given that a line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

The slope of a line passes through points $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ is calculated as follows:

$m=\frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{ }}$ ......(1)

Here, the slope of a line is denoted as and points are $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ .

Substitute for ${x_1}$ , $-3$ for ${y_1}$ , $12$ for ${x_2}$ and $1$ for ${y_2}$ in equation (1) to obtain the slope of a line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

$\begin{aligned}m&=\frac{{1 - \left({ - 3}\right)}}{{12 - \left({ - 4}\right)}}\n&=\frac{{1 + 3}}{{12 + 4}}\n&=\frac{4}{{16}}\n&=(1)/(4)\n\end{aligned}$

Therefore, the slope is $(1)/(4)$ .

The point-slope form of the equation of a line with slope $m$ passes through point $\left({{x_1},{y_1}}\right)$ is represented as follows:

$y - {y_1}=m\left({x - {x_1}}\right){\text{}}$ ......(2)

Substitute for ${x_1}$ , $1$ for ${y_1}$ and $(1)/(4)$ for $m$ in equation (2) to obtain the equation of line.

$\begin{aligned}y - 1&=(1)/(4)\left({x - 12}\right)\n4\left({y - 1}\right)&=x - 12\n4y - 4&=x - 12\nx - 4y&=8\n\end{aligned}$

Therefore the standard equation of line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ is $x - 4y = 8$ .

Thus, theequation of line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$

Learn more:

1. Which classification best describes the following system of equations? brainly.com/question/9045597

2. What is the value of in the equation when ? brainly.com/question/3965451

3. What are the values of x?brainly.com/question/2093003

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords:Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point

If 75 pairs of jeans are sold, what is the company’s profit?

Answers

What exactly is the question? With out a price of the jeans, the answer is probably 75x. X as in the price of the Jeans.

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