Answer:

Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.


Substitute,

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

Inverse operations,

3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).


Substitute,


Circumference of a circle = 2πr
Circumference of the whole circle= 2π(30) = 60π
360 - 90 = 270
Length XPY = 270/360 x 60π = 45π
Answer: 45π m
Answer:

Step-by-step explanation:
Let the number of cups of onions Katrina still needs to chop = x
She has already chopped the onions =
cups ≈
cups
So total amount of chopped onions =
cups
Since, onion soup recipe calls for the chopped onions =
cups ≈
cups
Therefore, equation which shows the number of cups of onions to be chopped more will be,

We further solve this equation for the value of x,
x = 
x = 
=
cups
≈
cups
Answer:
0.3
Step-by-step explanation:
Divide the second term (12) with the first term (40), and you'll get 0.3
This is correct because you get the terms in the correct order when multiplying:
(First term: 40. Common ratio: 0.3)
40 x 0.3 = <u>12</u>
<u>12</u> x 0.3<em> </em>= <em>3.6</em>
40, <u>12</u>, <em>3.6</em>