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Stella [2.4K]
3 years ago
5

Abigail made a quilt that has the area of 4,800 sq. inches. The length of the quilt is 1 1/3 times the width of the quilt. What

are the dimensions of the quilt
Mathematics
1 answer:
Aliun [14]3 years ago
8 0
For this case we model the problem as a rectangle.
 The area of the rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 4800 = (w) * ((1 1/3) * w)
 We rewrite:
 w ^ 2 = 4800 / (1 1/3)
 w ^ 2 = 3600
 w = root (3600)
 w = 60 in
 The long will be then:
 l = (1 1/3) * w
 l = (1 1/3) * (60)
 l = 80 in
 Answer:
 
the dimensions of the quilt are:
 
w = 60 in
 l = 80 in
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Help please...Thanks
Maru [420]
There are 14 boys, therefore 16 girls.
Ratio of boys:girls is 14:16
14/16 = 7/8 so answer is the 3rd option.
4 0
4 years ago
Factor x2 -12x + 36
zhannawk [14.2K]

Answer:

  (x -6)²

Step-by-step explanation:

It is worth remembering the form of the square of a binomial:

  (a +b)² = a² +2ab +b²

Note that if "a" and "b" have different signs, the middle term will be negative.

In your case, the square root of the constant is half the magnitude of the x-coefficient, so the trinomial you have is a perfect square. Since you just found √36 = 6, and the sign of 12 tells you the terms have different signs, you know the answer is ...

  x² -12x +36 = (x -6)²

_____

Of course, you recognize (x +6)(x -6) as the factoring of the difference of squares ...

   x² -6² = x² -36

which is not what you have.

4 0
3 years ago
Suppose you have a random variable that is uniformly distributed between 7 and 26. what is the expected value for this random va
Daniel [21]
\mathbb E(X)=\int_7^{26}\dfracx{26-7}\,\mathrm dx=\dfrac{33}2=16.5

which follows from the definition for expected value,

\mathbb E(X)=\int_{-\infty}^\infty xf_X(x)\,\mathrm dx

where f_X(x) is the probability density function for X.
4 0
3 years ago
Tyler’s family is using a shipping trailer that is 5 feet tall, 4 feet wide, and 12 feet long to load boxes of apples in. Each b
Andreyy89
To get the volume 5184 in3 you can use the dimension 18in x 24in x 12in.
4 0
4 years ago
Simultaneous equations 3m^2+2n=17, 2m+n=14
4vir4ik [10]
The answers are:

1-
m=√<span><span><span>‌<span><span>−2</span>3</span></span>‌n</span>+<span><span>‌<span>173</span></span>‌</span></span>‌‌ or ‌‌m=<span>−<span>√<span><span><span>‌<span><span>−2</span>3</span></span>‌n</span>+<span><span>‌<span>173</span></span>‌</span></span></span></span>

n=<span><span><span>‌<span><span>−3/</span>2</span></span>‌<span>m^2</span></span>+<span>‌<span>17/2</span></span></span>

2-
m= <span><span><span>‌<span><span>−1/</span>2</span></span>‌n</span>+7</span>

n= <span>−<span>2m</span></span>+<span>14</span>

Hope this helps:)
3 0
3 years ago
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