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ioda
3 years ago
14

The length of a rectangle is three times its width. The perimeter of the rectangle is 100 inches. What are the dimensions of the

rectangle?
Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0

Answer:

We have l = 2w and 2l + 2w = 100 inches;

Then 4w + 2w = 100 inches;

6w = 100 inches;

w = 16.6;

l = 3 x 16.6;

l = 49.8 inches;


Step-by-step explanation:


m_a_m_a [10]3 years ago
3 0

Answer:

<h2>The dimensions are 12.5 inches width and 37.5 inches length.</h2>

Step-by-step explanation:

Givens:

  • Length is three times the width, this can be represented as: l=3w
  • The perimeter is 100 inches. The perimeter is expressed as: P=2(l+w)

So, to find the dimensions of the rectangle, that is, the length and width, we have to replace the first equation into the second one:

100=2(3w+w)\\\frac{100}{2}=4w\\w=\frac{100}{8}= 12.5 \ in

The length can be found using the first expression:

l=3(12.5)=37.5

Therefore, the dimensions are 12.5 inches width and 37.5 inches length.

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Part of the graph of the function f(x) = (x - 1)(x + 7) is
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Answer:

True: B, C and D

Step-by-step explanation:

The graph of the function is shown in the attached diagram.

The vertex of the parabola (parabola is the graph of the function f(x)) is at (-3,-16), because

x_v=\dfrac{1+(-7)}{2}=-3\\ \\y_v=f(-3)=(-3-1)(-3+7)=-4\cdot 4=-16

So, option A is false and option B is true.

As you can see from the graph, the function is increasing for all x>-3, thus option C is true.

The graph is positive for x<-7 and x>1 and negative for -7<x<1, so option D is true and option E is false.

8 0
3 years ago
Read 2 more answers
|18-x|, if x&lt;18. Pls help
damaskus [11]

Answer:

I18 - xI such that x < 18.

ok, first let's what happens if x = 18:

I18 - xI = I18 - 18I = 0

So, at the moment we have the condition:

I18 - xI > 0.

now, if x is a really large negative number, suppose, x = -100

I18 + 100I = I118I = 118

So, as x can freely move in the negative range, we can see that I18 - xI can be any positive number, so the only restriction that we have is:

I18 - xI > 0.

This means that the domain is:

D = (-∞, 18)

and the range is:

R = (0, ∞)

3 0
2 years ago
Brianna wants to save the $250 she earned by babysitting over the summer. She's trying to decide which
Nookie1986 [14]

Answer:

Total cost = Cost per month × 12 months per year × Number of years

= $21 × 12 × 8

= $2,016

Step-by-step explanation:

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2 years ago
The volume of a cube of ice for an ice sculpture is 64000
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no question to answer

Step-by-step explanation:

8 0
2 years ago
The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th
weqwewe [10]

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}

t = \frac{-60 +/- \sqrt{3792} }{-32}

t = \frac{-60 +/- 61.6}{-32}

t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

t = \frac{1.6}{-32}        or     t = \frac{-121.6}{-32}

   t = -0.05            or     t = 3.8           <em>disregard the negative</em>

Answer: 3.8 seconds


     

8 0
3 years ago
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