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balandron [24]
2 years ago
9

Find the least common denominator for these two rational expressions. 8/n n/7n²

Mathematics
1 answer:
Serga [27]2 years ago
5 0

Answer:

7n^2

Step-by-step explanation:

Multiply 8/n by 7n/7n to get 56n/7n^2

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3. The backyard of a home is a rectangle 25m by 30m. A garden of uniform width is to be
KiRa [710]

Answer:

Part A

The width of the garden is approximately 3.987 meters

Part B

Please find attached the drawing of the solution

Step-by-step explanation:

Part A

The given parameters are;

The dimensions of the backyard of the home = 25 m by 30 m

The width of the garden to be built in the yard = Uniform width

The shape of the grass left inside = Rectangular

The area of the grass at the center = The area of the garden

Let 'x' represent the width of the garden, we have;

The length of the rectangular grass area at the center, l = 30 - 2·x

The width of the rectangular area of grass at the center, w = 25 - 2·x

The area of the rectangular backyard, A = 30 m × 25 m = 750 m²

The area of the rectangular backyard, A = (The area of the garden) + (The area of the rectangle of grass inside)

The area of the rectangle of grass, GA = (30 - 2·x)·(25 - 2·x) = The area of the garden

The area of the rectangular backyard, A = 750 = (30 - 2·x)·(25 - 2·x) + (30 - 2·x)·(25 - 2·x)  = 2 × (30 - 2·x)·(25 - 2·x) = 8·x² - 220·x + 1,500

∴ 750 = 8·x² - 220·x + 1,500

8·x² - 220·x + 1,500 - 750 = 0

8·x² - 220·x + 750 = 0

x = (220 ± √(220² - 4 × 8 × 750))/(2 × 8)

x ≈ 23.513, or x = 3.987

When x = 25.513, the width of the rectangle of grass inside, w = 25 - 2 × 23.513 = -22.026, which is not a natural (physically possible)

Therefore, the possible width of the garden, x ≈ 3.987

Part B

The drawing of the solution created with MS Visio is attached

6 0
2 years ago
How do you answer the picture below?
3241004551 [841]

Answer:

42cm²

Step-by-step explanation:

because if the perimeter of the rectangle is 28 then the length is 5, 5 - 11 = 6, the formula for finding the trapezium is to add the 2 parallel sides, half them, then times them with the length so your sum will look like this, 5+9=14, (i knew the other side was 9 as the length of AB is the same as the length of FC, which is the one of the parallel sides of the trapezium) then we do 14÷2=7, finally we times 7 by 6 which is 42cm²

3 0
3 years ago
Help, I am confused although I think this is simple
Leviafan [203]

Answer:

b not shure tho so yeah bye anwser is B

7 0
2 years ago
Read 2 more answers
If 8 girls brought a lunch box and 6 boys didnt what is the probability of a student bringing one.
Tatiana [17]

Answer:

43 percent

Step-by-step explanation:

6/14 ×100%

=0.248

=43%

first add up the total people, then substract the total of people to the people that didn't bring them, divide them then multiply it by 100%

3 0
3 years ago
Fran would like to estimate the mean amount of time it takes people in her town to travel to work. the town's population is 150,
Nadusha1986 [10]

Answer: I would say the 3rd answer. "If she takes a random sample of the population of working adults in her town, the mean for that group is likely close to the mean for the entire group."

7 0
3 years ago
Read 2 more answers
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