If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:
- the perimeter = 24 ft
- the area = 36 sq. ft
- if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
- if the area of the garden is doubled, the area of the new garden = 72 sq. ft
<em><u>Recall</u></em>:
- A square has equal side lengths
- Perimeter of a square = 4(side length)
- Area of a square =
<em><u>Given:</u></em>
Perimeter of square (P) =
Side length (s) =
<em><u>First, let's find the </u></em><em><u>value of x</u></em><em><u> by creating an </u></em><em><u>equation </u></em><em><u>using the </u></em><em><u>perimeter </u></em><em><u>formula:</u></em>
- Perimeter of a square = 4(side length)
<em><u>Find how much fencing would be needed (</u></em><em><u>Perimeter </u></em><em><u>of the fence):</u></em>
- Perimeter of the fence =
Perimeter of the fence =
<em><u>Find the </u></em><em><u>area </u></em><em><u>of the garden:</u></em>
- Area of the garden =
Area =
Area =
<u><em>Find the </em></u><u><em>perimeter </em></u><u><em>if the garden size is doubled:</em></u>
- Perimeter of the new garden = 2 x 24 = 48 ft
<em><u>Find the </u></em><em><u>area </u></em><em><u>if the garden size is doubled:</u></em>
- Perimeter of the new garden = 2 x 36 = 72 sq. ft
In summary, if the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:
- the perimeter = 24 ft
- the area = 36 sq. ft
- if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
- if the area of the garden is doubled, the area of the new garden = 72 sq. ft
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Ben is correct because when the numbers are drawn as decimals, they are 7.09 and 7.2. see picture for number line.
Answer: 6 pounds of French roast coffee and 14 pounds of Sumatran coffee was used.
Step-by-step explanation:
Let x represent the number of pounds of French roast coffee that should be added in the blend.
Let y represent the number of pounds of Sumatran coffee that should be added in the blend.
The total number of pounds of the mixture made is 20 lb. This means that
x + y = 20
The mixture sells for $8.30 a pound. The total cost of the mixture would be
8.3 × 20 = 166
This means that
9x + 8y = 166 - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
9(20 - y) + 8y = 166
180 - 9y + 8y = 166
- 9y + 8y = 166 - 180
- y = - 14
y = 14
x = 20 - y = 20 - 14
x = 6
Answer:
20 degrees
Step-by-step explanation:
The sum of these two angles is 180 degrees. Therefore, the equation to solve this problem would be 2x + 6x + 20 = 180. The answer is 20 degrees.