Multiply and reduce to lowest terms. Convert into a mixed number if necessary. 4x5/9=

Answer:

Step-by-step explanation:

1) 4x + 3 <= 3x - 5

Subtract 3 from both sides

4x + 3-3  <= 3x - 5 -3

4x  <= 3x - 8

Subtract 3x form both sides

4x - 3x <= 3x -3x - 8

x <= -8

Answer:

CHALLENGE ACCEPTED!!

Step-by-step explanation:

4x + 3 ≤ 3x - 5

4x - 3x ≤ -5 -3

x ≤ -8

sorry, cant draw the number line but hope the solution helps.

-2x > 6

-2x ÷ -2 > 6 ÷- 2

x > -3

1/8(3x - 16) < 4

3/8x - 2 < 4

3/8x < 4 + 2

3/8x < 6

x = 16

x - 3/2 ≥ -5

x - 3 ≥ -5 × 2

x - 3 ≥ -10

x ≥ -10 + 3

x ≥ 7

Answer:

73

Step-by-step explanation:

see attached for reference

by Pythagorean Theorem,

x² = 55² + 48²

x² = 3025 + 2304

x² = 5329

x = √5329

x = 73

77 ¹¹/₃₂ in²

The area that he can cover with these tiles is 77 ¹¹/₃₂ in²

Further explanation

To solve the above questions, we need to

recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

Given:

Number of Tiles = N = 9 tiles

Length of Tiles = L = 3¹/₈ inches

WIdth of Tiles = W = 2³/₄ inches

Unknown:

Total Area = A = ?

Solution:

Area of One Tile.

Area of Rectangle=Length×WidthArea of Rectangle=Length×Width

Area of Rectangle=318×234Area of Rectangle=381×243

Area of Rectangle=81932 in2Area of Rectangle=83219 in2

Total Area.

Total Area=Number of Tiles×Area of One TileTotal Area=Number of Tiles×Area of One Tile

Total Area=9×81932Total Area=9×83219

Total Area=771132 in2Total Area=773211 in2

Learn more

Answer:

y = -15x - 6

Step-by-step explanation:

Final answer:

To rewrite the function 5x + 1/3y = -2 in slope-intercept form, we first isolate 'y' and then multiply by 3 to get y = -15x -6.

Explanation:

The given linear function is 5x + 1/3y = -2. To rewrite this in slope-intercept form, i.e., y = mx + b, where m is the slope and b is the y-intercept, we apply some algebraic manipulations:

1. First, let's isolate 'y' on one side of the equation. Subtracting 5x from both sides, we get 1/3y = -5x -2.
2. Next, multiply each side by 3 to fully isolate 'y'. This gives y= -15x -6 which is the linear function in slope intercept form.

The process we just followed is called converting a linear equation to slope-intercept form.

Learn more about Linear Function Conversion here:

brainly.com/question/21109215

#SPJ2