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3 years ago

How long is a rectangular field with a width of 3/5 mile and an area of 21/50 square mile?

2 answers:

4 0

$w=\frac{3}{5}mi\\\\l=?\\\\A_{\fbox{ }}=w\times l;\ A_{\fbox{ }}=\frac{21}{50}mi^2\\\\\frac{3}{5}l=\frac{21}{50}\ \ \ \ \ |multiply\ both\ sides\ by\ \frac{5}{3}\\\\l=\frac{21}{50}\times\frac{5}{3}\\\\l=\frac{7}{10}\\\\Answer:\boxed{\frac{7}{10}mi=0.7mi}$

KIM [24]3 years ago

4 0

A = B*L

A = 21/50 sq miles
B = 3/5 mile
L = ? mile

L = A/B
L = (21/50)/(3/5)

* dividing by fraction is same as multiplying by it's reciprocal

L = (21/50)*(5/3)
L = (21*5)/(50*3)
L = 105/150

*divide both numerator & denominator by 5

L = 21/30

*divide both numerator & denominator by 3

<u><em>L = 7/10 miles</em></u>

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Find the missing value -3 = ? -11

maria [59]

Answer

Positive 8 is the missing value

Step-by-step explanation:

-11 + 8 = -3

6 0

2 years ago

98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f

Colt1911 [192]

See the attached picture.

Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

$V(x)=x(8-x)(12-x)=x^3-20x^2+96x$

because the volume of a box is the product of its width $(12-x)$ , length $(8-x)$ , and height $(x)$ .

find the zeroes

You know right away from the factored form of $V(x)$ that the zeroes are $x=0,8,12$ . (zero product property)

sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of $V(x)$ for any values of $x$ between these zeros to get an idea of what the graph of $V(x)$ looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know $V(x)=0$ when $x=0$ and $x=8$ . So we pick some value of $x$ between them, say $x=1$ , and find that

$V(1)=1(8-1)(12-1)=7\cdot11=77$

which is positive, so $V(x)$ will be positive for any other $x$ between 0 and 8. Similarly we would find that $V(x)$ for $x$ between 8 and 12, and so on.

What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants $V(x)=12$ , so you solve

$x^3-20x^2+96x=12$

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

$x\approx0.1284$

$x\approx7.6398$

$x\approx12.2318$

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

What would be the dimensions of this box?

The box's dimensions are ( $x$ in) x ( $8-x$ in) x ( $12-x$ in).

If $x\approx0.1284$ , then $8-x\approx7.8716$ and $12-x\approx11.8716$ .

If $x\approx7.6398$ , then $8-x\approx0.3602$ and $12-x\approx4.3602$ .

8 0

2 years ago

Please help will mark brainliest

german

Answer:

y = 5.5

Step-by-step explanation:

y = 22 * 0.5^2

=> 22* 0.25

=> 5.5

Hope this helps! :3

plz mark as brainliest!

7 0

3 years ago

Help!! I have no clue

VikaD [51]

okay so you just plug in the x and ys. x is the first number, y is the second. then you just do them all out

3 0

3 years ago

Read 2 more answers

A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of

QveST [7]

Answer:

1) he prior probability of the bid being successful (that is, prior to the request for additional information = 0.5

2) the conditional probability of a request for additional information given that the bid will ultimately be successful = 0.74

3) the posterior probability that the bid will be successful given a request for additional information = 0.65

Step-by-step explanation:

The concept of probability of success and failure was used as well the approach of bayes formular or posterior probability. Keeping in mind that P(Success) + P(Failure) = 1

The detailed steps is as shown in the attachment.

3 0

3 years ago