The length and width of a book cover are 22.2cm and 12 cm respectively

Answer:

On a coordinate grid, a triangle is defined by the points R' (1, 2), S' (3, -1), T' (7, 1)

Step-by-step explanation:

We can interpret the coordinates of the triangle's vertices as...

R(-2, 1), S(1, 3), T(-1, 7)

Applying the transformation (x, y) ⇒ (y, -x), these coordinates change to...

R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (this corresponds to the first option)

to achieve a minimum of 200 chocolate bars

c=chocolate bars

2.5c>or=500

Divide both sides by 2.5

c>or=200

Answer: y = 2/5 --> y = 0.4

Step-by-step explanation:

The equation 5y = 2 represents a horizontal line at y = 2/5.

This means that the y-coordinate holds the value of 2/5 = 0.4 for any x-coordinate.

Answer:

89

Step-by-step explanation:

Given that

2 O, 2 T and 1 M

Now based on this, the following arrangements exist  

1

Three arrangements i.e. {M,T,O}

2

XX or XY

XX in 2C1 = two arrangements i.e. {OO or TT}

XY in 3C2 × 2! = six arrangements

3

XXY or XYZ

XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve arrangements

XYZ in 3C3 × 3! = six arrangements

4

XXYY or XXYZ

XXYY = 4! ÷ (2! × 2!) = six arrangements

XXYZ in 2C1 ×  4! ÷ 2! = twenty four arrangements

5

= 5! ÷ (2! ×2!)

= 120 ÷ 4

= 30

Thus, the overall total is

= 3 + (2 +6)+ (12 +6) + (6 +24) + 30

= 89