Answer:
The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.
For tables that seat 7, the caterer would need 11*13 = 143 tables.
For tables that seat 11, the caterer would need 7*13 = 91 tables.
Step-by-step explanation:
answer x = 225 and y = -135
Step-by-step explanation:
x+y = 90 and x= 90-y and x -y = 360 so 90-y -y = 360
In the given question the length and width of the plot are already given. although there is no direct specification regarding the one that is length or the one that is the width, so it can be taken as your own choice. This will not affect the ultimate answer.
So
Area of the rectangular plot = Length * Width
= 11.7 * 15.4 square cm
= 180.18 square cm
So the area of the rectangular plot as can be seen from the above deduction is 180.18 square centimeter.
At first we need to know how to find the distance between two parallel lines
The parallel lines which have the same slope
If we have two parallel lines ⇒ y₁ = mx + c₁ and y₂ = mx + c₂
So, the distance between y₁ and y₂ = d =

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Part (1):=======
<span>The distance between the lines
</span>
<span>
Y₁ = 3x + 10 and Y₂ = 3x - 20</span>
∴ m = 3 , c₁ = 10 and c₂ = -20
∴ d =

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Part (2):=======
<span>The distance between the lines
</span>
Y₁ = <span>3/2 x + 3/2</span> and Y₂ = <span>3/2 x - 5</span>
∴ m = 3/2 = 1.5 , c₁ = 3/2 = 1.5 and c₂ = -5
∴ d =
That means she will start saving $44 a month instead of the $40 she was saving bafore