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34kurt
3 years ago
13

What is -4/5+ 7/15 when you simplify ?

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0

Answer: -\frac{1}{3}

Step-by-step explanation:

When you add fractions with different denominators, you need to find the Least common denominator (LCD):

Descompose the denominators (5 and 15) into its prime factors and then choose the commons and non-commons with the highest exponents:

5=5*1\\15=3*5\\\\LCD=5*3*1=15

Divide the LCD by each original denominator of each fraction and multiply the result by each original numerator of each fraction. After this, you can add the numerators and reduce the fraction.

Then:

-\frac{4}{5}+\frac{7}{15}=\frac{-(4)(3)+7(1)}{15}=\frac{-12+7}{15}=\frac{-5}{15}=-\frac{1}{3}

solong [7]3 years ago
5 0

Answer:

-1/3

Step-by-step explanation:

-4/5+ 7/15

We need to get a common denominator of 15

-4/5 *5/5 = -12/15

Add the two fractions together

-12/15 +7/15

-5/15

Divide the top and bottom by 5

-1/3

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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
What is resuls 26+3-7÷2 _________?????​
LiRa [457]

Answer:

11

Step-by-step explanation:

  • 26+3=29
  • 29-7=22
  • 22÷2=11
7 0
3 years ago
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JulijaS [17]
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3 0
3 years ago
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Answer the problems please. You have to find out what the letter means.
zheka24 [161]

Answer:

29. x=5

30. a=7

31. r=8

32. c=4

33. w=3

34. m=9

Step-by-step explanation:

Hope this helps.

5 0
3 years ago
Please help I will mark Brainly
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1.5673 is the correct answer mark me brainliest please
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