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3 years ago

Use the system of equations to answer the questions.

Mathematics

1 answer:

Mrac [35]3 years ago

3 0

Answer:

the value of x and y is 3 and -1 respectively.

Step-by-step explanation:

from the question

let

2x + 3y = 3........................ equation 1

y = 8 - 3x.............................. equation 2

put y = 8 - 3x in equation 1

2x + 3y = 3........................ equation 1

2x + 3 ( 8 - 3x) = 3

2x + 24 - 9x = 3

24 - 7x = 3

24 = 3 + 7x

24 -3 = 7x

21 = 7x

divide both sides by 7

x = 3

put x = 3 in equation 2

y = 8 - 3x.............................. equation 2

y = 8 - 3 ( 3)

y = 8 -9

y = -1

therefore the value of x and y is 3 and -1 respectively.

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Given the coordinates below, what is the midpoint of AB? A(-6, -10) B(2,5)

madreJ [45]

Given :

$\:$

A(-6, -10)
B( 2, 5)

$\:$

$\gray{ \frak{The \: given \: two \: \: points \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}$

$\:$

Let's solve by using midpoint formula :

$\:$

$\bf \boxed{\color{red}\frak{Midpoint \: \: Formula : {( \: x ,\:y \: ) = }( \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}$

$\:$

$\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}$

$\:$

$\: \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}$

$\:$

$\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \cancel\frac{ -4}{2} , \cancel\frac{ - 5}{2} )}}$

$\: \:$

$\underline{ \boxed{ \large \red{ \frak{option \: d }( \frak{ - 2, - 2.5)}}}}✓$

Hope Helps! :)

6 0

2 years ago

4. The students in Mr. Michael’s art class are decorating a booth for Harvest Day. They have blue cloth that is 60 inches long,

MrRissso [65]

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.

a.

As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely......

$60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3$

The common factors are: 2, 2 and 3

Thus the GCF $= 2*2*3=12$

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

b.

For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So...

Number of pieces for blue cloth $=\frac{60}{12}=5$

Number of pieces for gold cloth $=\frac{48}{12}=4$ and

Number of pieces for white cloth $=\frac{72}{12}=6$

4 0

3 years ago

What is 2x=8a+2b; solving for x

Eddi Din [679]

Answer:

Step-by-step explanation:

Flip the equation 1) 8a + 2b = 2x

Subtract 2b from both sides 2)8a + 2b(-2b) = 2x + (-2b)

Divide by 8 on both sides 3) 8a/8 = -2b - 2x/8

4) a = 1/-4b + 1/4x

7 0

3 years ago

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Dvinal [7]

Answer:

20% of 248 is 49.6

Step-by-step explanation:

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2 years ago

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Anit [1.1K]

Answer:

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Step-by-step explanation:

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3 years ago

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