Un frasco de jugo tiene una capacidad de 3/8 de litro ¿cuantos frascos se pueden llenar con cinco litros ?

HELP ASAP!! Justify the answer to the equation by explaining the steps you took.

babymother [125]

Step-by-step explanation:

Given: 2x-6=5x+18

step 2 : the subtraction property of equality

step 4: the addition propert of equality

step 5: the division propert of equality

3 0

2 years ago

If A = 8! and B = 8P8, then which one of the following is true:

meriva

Answer:

A. A = B

Step-by-step explanation:

Given

$A = 8!$

$B = ^8P_8$

Required

Which of the options is true

We start by simplifying $B = ^8P_8$

Permutation is calculated as follows

$^nP_r = \frac{n!}{(n - r)!}$

So.

$^8P_8 =\frac{8!}{(8 - 8)!}$

$^8P_8 =\frac{8!}{0!}$

0! = 1; So

$^8P_8 =\frac{8!}{1}$

$^8P_8 =8!$

Hence. B! = P!

This implies that $A = B = 8!$

4 0

3 years ago

Prove that a chord is parallel to the tangent drawn at the midpoint of its arc

galina1969 [7]

Need more information

7 0

3 years ago

Read 2 more answers

What is 2 2/15 - 1 2/3= I ended up with 2 3/21 Really need help with this!

QveST [7]

Answer:

$2 \frac{2}{15} - 1 \frac{2}{3}$

$= \frac{32}{15} - \frac{5}{3}$

$= \frac{32 \times 1 - 5 \times 5}{15}$

$= \frac{32 - 25}{15}$

$= \frac{7}{15}$

5 0

3 years ago

Indicate the equation of the given line in standard form. Show all your work for full credit. the line containing the median of

alukav5142 [94]

Answer:

* The equation of the median of the trapezoid is 10x + 6y = 39

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line whose end points are (x1 , y1) , (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The mid point of the line whose end point are (x1 , y1) , (x2 , y2) is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

- The standard form of the linear equation is Ax + BC = C, where

A , B , C are integers and A , B ≠ 0

- The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

- It has two properties:

# It is parallel to both bases

# Its length equals half the sum of the base lengths

* Lets solve the problem

- The trapezoid has vertices R (-1 , 5) , S (! , 8) , T (7 , -2) , U (2 , 0)

- Lets find the slope of the 4 sides two find which of them are the

parallel bases and which of them are the non-parallel bases

# The side RS

∵ $m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}$

# The side ST

∵ $m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}$

# The side TU

∵ $m_{TU}=\frac{0-(-2)}{2-7}=\frac{2}{-5}=\frac{-2}{5}$

# The side UR

∵ $m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}$

∵ The slope of ST = the slop UR

∴ ST// UR

∴ The parallel bases are ST and UR

∴ The nonparallel sides are RS and TU

- Lets find the midpoint of RS and TU to find the equation of the

median of the trapezoid

∵ The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

∵ The midpoint of RS = $(\frac{-1+1}{2},\frac{5+8}{2})=(0,\frac{13}{2})$

∵ The median is parallel to both bases

∴ The slope of the median equal the slopes of the parallel bases = -5/3

∵ The form of the equation of a line is y = mx + c

∴ The equation of the median is y = -5/3 x + c

- To find c substitute x , y in the equation by the coordinates of the

midpoint of RS

∵ The mid point of Rs is (0 , 13/2)

∴ 13/2 = -5/3 (0) + c

∴ 13/2 = c

∴ The equation of the median is y = -5/3 x + 13/2

- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

7 0

3 years ago