MATHEMATICS MIDDLE SCHOOL

What two equations is y=-5/9x+2/3 equivalent to?A.) y+1=-5/9(x-3)
B.) 5x+9y=6
C.) 5/9x+y=2/3
D.) -5x+9y=6

Answers

Answer 1

Answer: Your answer is C :) All they did was add 5/9x to both sides

Answer 2

Answer:

Answer:

5/9x+y=2/3

Step-by-step explanation:

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~please only answer if you know for sure~
-Thank you-

Answers

ZW and DA are similar sides
WX and AB are similar sides.

Make a proprtion of the sides.

$\sf{ (WX)/(AB) = (ZW)/(DA) }$

Plug in the numbers

$\sf{ (6)/(24) = (ZW)/(18) }$

Cross multiply

$\sf{ 6* 18=ZW * 24$

And then solve for ZW

$\sf{ZW = 4.5}$

So our final answer is

$\boxed{\bf{4.5~centimeters}}$

Hope that helps :P

A circular picture is 8 inches in diameter. Part A What is the area of the picture in square inches? A. 4π square inches B. 8π square inches C. 16π square inches D. 32π square inches Part B A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches? A. 4π square inches B. 12π square inches C. 36π square inches D. 40π square inches

Answers

Given:
Circular picture:
diameter = 8 inches
radius = d/2 = 8/2 = 4 inches

Part 1:
Area of a circle = π r²
A = 3.14 * 4²
A = 3.14 * 16 in² ⇒ Choice C.
A = 50.24 in²

Part 2.
Additional 2 inches surrounds the circular picture.
radius = 4 + 2 = 6 inches
A = 3.14 * 6²
A = 3.14 * 36in² ⇒ CHOICE C.
A = 113.04 in²

Find the solution to the system of equations.

y= 2x + 3

y= -3x + 3

Answers

Answer:

(0, 3 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = - 3x + 3 → (2)

Since both equations express y in terms of x we can equate them, that is

2x + 3 = - 3x + 3 ( add 3x to both sides )

5x + 3 = 3 ( subtract 3 from both sides )

5x = 0 ⇒ x = 0

Substitute x = 0 into (1)

y = 0 + 3 = 3

Solution is (0, 3 )

Selina earns 8% commission on sales. On one sale,her commission was $20.40. What was the amount of that sale?

Answers

a×0.08=20.40
So $255 was the amount of the sale.

A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 1/72 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?

Answers

Answer:

108 pounds of mulch.

64 pounds of gravel.

Step-by-step explanation:

Let x be the amount of mulch sold and y be the amount of gravel sold.

We have been given that a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.

$2(1)/(4)=(9)/(4)$

$1(1)/(3)=(4)/(3)$

We can represent this information as:

$(x)/(y)=((9)/(4))/((4)/(3))...(1)$

We are also told that the supplier sells 172 pounds of mulch and gravel combined. We can represent this information as:

$x+y=172...(2)$

From equation (1) we will get,

$(x)/(y)=(9)/(4)*(3)/(4)$

$(x)/(y)=(27)/(16)$

$x=y*(27)/(16)$

Substituting this value in equation (2) we will get,

$y*(27)/(16)+y=172$

Now let us have a common denominator.

$(27y)/(16)+(16y)/(16)=172$

$(27y+16y)/(16)=172$

$16*(43y)/(16)=16*172$

$43y=2752$

$y=(2752)/(43)$

$y=64$

Therefore, the supplier sold 64 pounds of gravel.

Upon substituting y=64 in equation (2) we will get,

$x+64=172$

$x=172-64$

$x=108$

Therefore, the supplier sold 108 pounds of mulch.

What is 8(1/4x-3)+24<4(x+5)

Answers

Hey there!

We can solve inequalities just like equations. There is only one difference though. If you ever multiply or divide both sides by a negative number, you "flip" the inequality sign.

First, let's undo the parentheses.

2x-24+24<4x+20

We simplify.

2x<4x+20

We subtract 4x from both sides.

-2x<20

We divide both sides by -2 (we will need to flip the inequality sign).

x>-10

I hope this helps!

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