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Vikentia [17]
3 years ago
6

Three times the sum of a number and four is equal to five times the number, decreased by two. If x represents the number, which

equation is a correct translation of the statement?
1) 3(x + 4) = 5x - 2
2) 3(x + 4) = 5(x - 2)
3) 3x + 4 = 5x - 2
4) 3x + 4 = 5(x - 2)
Mathematics
2 answers:
3241004551 [841]3 years ago
8 0


the answer is 2) 3(x+4)=5(x-2)


Vsevolod [243]3 years ago
5 0
So 3 times (3 times) the sum of (+) a number and 4 (x,4)  is equal to (=) five times the number (5x) decreased by 2 (-2)

the equation would be 3(x+4)=5x-2
so if we solve we get
3x+12=5x-2
12=2x-2
10=2x
5=x
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The slope is 7/4.
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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
Please help with all. I’m not sure if I’m wrong, PLEASE HELP I WILL GIFT ALL MY POINTS AND BRAINIEST ANSWER
Salsk061 [2.6K]

Answer:

Yes, you are right. Great job!

Step-by-step explanation:

4 0
3 years ago
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