MATHEMATICS MIDDLE SCHOOL

4x +2y = 12
-4x + 5y= -5

Answers

Answer 1
Answer: 4x+2y=12 \n\underline{-4x+5y=-5} \n2y+5y=12-5 \n7y=7 \ny=(7)/(7) \ny=1 \n \n4x+2y=12 \n4x+2 * 1=12 \n4x+2=12 \n4x=12-2 \n4x=10 \nx=(10)/(4) \nx=(5)/(2) \nx=2 (1)/(2) \n \n\boxed{(x,y)=(2 (1)/(2), 1)}
Answer 2
Answer: Please, look at photo :))

-Good luck !

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‘A’ is the point ( 8 , 5 ) and ‘B’ is the point ( -4 , 1 ).a. Calculate the length of AB.

b. Find the co-ordinates of the midpoint of AB.

Please answer fast

Answers

a. ((x2-x1)^2 + (y2-y1)^2)^(1/2)

(-4-8)^2 + (1-5)^2     144+16= 160

160^(1/2)= 12.64

b. (8-4)/2    & (5+1)/2

4/2=2    6/2=3

(2,3) is the midpoint of AB

Which graph shows y= (-5x) -4?

Answers

Answer:

Graph A

Step-by-step explanation

I look at the y-intercept first, and the y-intercept is -4, so looking at each graph you can see both A and D have y-intercepts of -4, since the line intercepts, or goes through the y-axis (the vertical line of the graph) at -4.

Then, you look at the variable that's changing, which is -5x. Since it's a negative, A is the graph that is negatively decreasing, because of its position on the graph. The line is going down, starting in the negative side.

What is greater 2/5 or 3/4

Answers

To find this you have to set the fractions equal to each other.

the common denominator between the two is 20

2/5 x 4/4 = 8/20
3/4 x 5/5 = 15/20

Therefore, 3/4 is bigger than 2/5.

How do you round 6.512 459 to the nearest ten-thousandth?

Answers

6.512459\n\nSince\ the\ fifth\ place\ (hundred\ thousandths)\ is\ 5\ or\ more\ (it's\ 5),\nthe\ fourth\ place\ (ten\ thousandths)\ is\ increased\ by\ 1.\n\nAnswer:6.512459\approx6.5125
6.512 459 = 6.51246 = 6.5125 Answer

calvin paints pictures and sells them at art shows. He charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

The amount last month Calvin made from all the paintings sold at the art shows was $414.90

The first analyse the given information;

→ Small paints (lets call them ) sell for $25.80 Per Painting,

Thus 25.80s gives as the profit for  number paints sold.

Large paints (lets call them ) sell for $56.25 Per Painting,

Thus, 56.25s gives as the profit for  number paints sold.

Thus the total profit of all paintings sold would be;

= 56.25×6 + 25.80×3

= $414.90

Therefore,  last month Calvin made $414.90 from all the paintings sold at the art shows.
$414.90 bc 56.25×6 + 25.80×3

Odd numbers between 60 and 69

Answers

odd numbers:61,63,65,67,69
Odd numbers between 60 and 69 are 61,63,65,67, and 69.
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