MATHEMATICS MIDDLE SCHOOL

Consider the linear system of equations y=2/5x-1 and 2x-3y+1=0 graph the system of equations

Answers

Answer 1

Answer:

We can see that the lines intersect at: (-5,-3)

Step-by-step explanation:

Given system of equations is:

$y = (2)/(5)x-1\ \ \ \ Eqn1\n2x-3y+1 = 0\ \ \ \ Eqn2$

Lets convert the second equation in the same form as the first equation

$2x-3y+1 = 0$

Adding 3y on both sides

$2x-3y+1+3y = 0+3y\n2x+1 = 3y\n3y= 2x+1$

Dividing both sides by 3

$(3y)/(3) = (2x+1)/(3)\ny = (2)/(3)x+(1)/(3)\n$

The graph of equation can be plotted using manual graphing or any online graphing calculator

We will use the Desmos online graphing calculator to graph the equations (Picture attached)

We can see that the lines intersect at: (-5,-3)

Keywords: Graphing, linear equations

Learn more about linear equations at:

#LearnwithBrainly

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What is the largest number that can go into all three of these numbers:12, 24, and 60
(sorry no muffins to day)

Answers

the correct number is 12

Answer:

Step-by-step explanation:

12*1=12

12*2=24

12*5=60

Ramona creates 16 paintings each month. About how many paintings will she create in 3 years?

Answers

she will have 576 paintings in 3 years

U know that there is 12 months in a year and she creates 16 each month so 12x16=192 and then u want to multiply 192 by 3 because 192 is the amount she makes in a year

How many 20 make 88 dollars

Answers

Answer:

4.4 but that's not rational so 4 would most likely be your answer

Step-by-step explanation:

You can't make exactly 88 dollars with a certain number of 20 dollar bills. The closest you can get is 80.

bag of potatoes weighs 5 pounds the bag is placed on a scale the unit on the scale is ounces what weight does the scale show

Answers

1 pound = 16 ounces
5 x 16 = 80
80 ounces

1 pound = 16 ounce
so
5×16=80
so it is 80 ounce

$(4)/(9)$ ×m= 72 what is M?

Answers

Hello lets solve this! :)
$\sf(4)/(9)m = 72\n\n\sf{Multiply~(9)/(4)~on~both~sides~to~isolate~m}\n\n(4)/(9)m * (9)/(4) = 72* (9)/(4)\n\nm = 72* (9)/(4)\n\nm = 18 * 9\n\n\boxed{\bf{m=162}}$

Hope I helped! IIf you have any other questions or would like further explanation just let me know!! :)

(4/9)m=72
m=(72*9)/4
m=648/4
m=162

answer. m=162

Drag a reason to each box to complete the proof.Given: DF=EG

segment D G with points D E F G on the segment in order from left to right

Prove: DE=FG

Answers

DG is a given line segment with points D E F G on the segment in order from left to right as shown in the given image.

1. DF = EG (Given)

2. As, DF=DE+EF

and EG=EF+FG

Also, DF=EG(Given)

Substituting the values of DF and EG in the given equation,

DE+EF = EF+FG (Substitution property of equality)

Subtracting EF from both the sides ,

DE=FG (Subtraction property of equality).

The answered table is attached.

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If I put $ 1500 into my savings account and earned $ 180 of interest at 4 % simple interest, how long was my money in the bank?

Find the area of the shape shown below. 7 3 and 3

22 lbs = how many oz