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dem82 [27]
3 years ago
13

Six less than the product of a number n and 1/5 is no more than 99

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Answer:

(n * ⅕) - 6 ≤ 99

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

(n * ⅕) - 6 ≤ 99

Opening the bracket, we have;

n/5 - 6 ≤ 99

Rearranging the equation, we have;

n/5 ≤ 99 + 6

n/5 ≤ 105

Multiplying both sides by 5, we have;

5 * n/5 ≤ 105 * 5

n ≤ 525

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The Garden Task
Igoryamba

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 = (side $ length)^2

<em><u>Given:</u></em>

Perimeter of square (P) = (14x - 32) $ ft

Side length (s) = (x + 2) $ ft

<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)

  • Plug in the values

(14x - 32) = 4(x + 2)

  • Solve for x

14x - 32 = 4x + 8\\\\14x - 4x = 32 + 8\\\\10x = 40\\\\x = 4

<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 = (14x - 32) $ ft

  • Plug in the value of x

Perimeter of the fence = 14(4) - 32 = 24 $ ft

<em><u>Find the </u></em><em><u>area </u></em><em><u>of the garden:</u></em>

  • Area of the garden = (side $ length)^2

Area = (x + 2)^2

  • Plug in the value of x

Area = (4 + 2)^2 = 6^2 = 36 $ ft^2

<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

Learn more here:

brainly.com/question/13511952

4 0
2 years ago
-f(3f-7)=0 solve equation<br>​
kenny6666 [7]

Answer:

F=0 or (7/3)

Step-by-step explanation:

When F is 0, the equation reads -0(3(0)-7)=0. The outside 0 will multiply by everything and make it equal 0. When F is 7/3, the inside of the parenthesis read 3(7/3)-7. This equals 7-7. It'll end up being (7/3)0, which equals 0.

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3 years ago
Suppose you know the perimeter of n octagons arranged as shown. What would you do to find the perimeter if 1 more octagon was ad
kogti [31]

As shown in the figures given :

For Figure 1 : perimeter = 8 units   [As can be seen in the figure]

For figure 2(with 2 octagons) : perimeter = 8 × 2 - 1 = 15 units    [since 1 side is common ]

For figure 2(with 3 octagons) : perimeter = 8 × 3 - 2 = 22 units  [since 2 sides is common ]

If one more octagon is added

then perimeter = 8 × 4 - 3 = 29 units    [since 3 sides will be common ]


3 0
3 years ago
Which type of triangle will always have exactly 1-fold reflectional symmetry?
Maslowich
Its <span>isosceles triangle</span>
6 0
3 years ago
Read 2 more answers
On a scale drawing of Princeton, two landmarks are shown 2 centimeters apart. If the scale of the map is 1 centimeter : 35 kilom
tankabanditka [31]

Answer:

  70 km

Step-by-step explanation:

2 cm is twice as much as 1 cm. So, the distance between landmarks will be twice as much as 35 km.

The actual distance is 70 km.

3 0
3 years ago
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