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3 years ago

Write a proportion and identify the means and extremes. will do branilyest

1 answer:

6 0

Hi,

One example of proportion is 1:2=6:12 , with 1 and 12 being the extremes and 2 and 6 the means. In general, a proportion is an equality of two ratios, a:b=c:d, and a and d are called extremes while b and c are called means.

Hope this helps! If my answer was not clear enough or you’d like further explanation please let me know.

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A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount

nata0808 [166]

Answer:

Step-by-step explanation:

Given

Volume of box $V=32,000 cm^3$

Let b be the square base and h be the height of box

Volume $V=b^2\cdot h$

$h=\frac{V}{b^2}$

Surface Area $A=b^2+4bh$

$A=b^2+4b\times \frac{V}{b^2}$

$A=b^2+4\frac{V}{b}$

Differentiate A w.r.t b to get maxima/minima

$\frac{\mathrm{d} A}{\mathrm{d} b}=2b-\frac{4\times V}{b^2}$

$2b-\frac{4\times V}{b^2}=0$

$b^3=\frac{4V}{2}$

$b^3=\frac{4\times 32,000}{2}$

$b=40 cm$

$[tex]h=\frac{32,000}{40\times 40}$

$h=20 cm$

4 0

3 years ago

What is the product of 3 2/3 + 14 2/5?

Volgvan

<span>So we wan't to know what is the sum of 3 2/3 and 14 2/5. First lets turn them into fractions: first one is 11/3 and the second is 72/5. Now lets add them: We multiply fractions this way: (a/b)+(c/d)={(a*d)+(c*b)}/(b*d). Following this rule: {(11*5)+(72*3)}/(3*5)={55+146}/15=201/15. and finally lets turn it back into a mixed number: 13 6/15</span>

3 0

3 years ago

Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did

GuDViN [60]

Answer:

Step-by-step explanation:

24 divided by 6 is 4, subtract Doug, there were 3 friends

4 0

3 years ago

Find the population statistics for Florida from 1950-2010. Find a linear regression model, quadratic regression model and an exp

k0ka [10]

1950 2,771,305

1960 4,951,560

1970 6,789,443

1980 9,746,324

1990 12,937,926

2000 15,982,378

2010 18,801,310

Sorry I couldn't find models.

4 0

3 years ago

A women made a deposit of $196.If her deposit considered of 60 bills, some of them one-dollar bills and the rest being five-doll

raketka [301]

Answer: 26 pieces of $1 bill and 34 pieces of $5 bill

Total Deposit = $196
Total Bills = 60 pieces
Value of $1 = $1
Value of $5 = $5

Lets assume all the 60 pieces were $1 bill.
The total deposit will be 60 x $1 = $60

But we know that the total deposit is $196. So the extra value must have come from the $5.

$196 - $60 = $136
There is still an outstanding amount of $136 not accounted for.

$5 - $1 = $4
The difference in the two bills is $4

Now we can find out the number of $5 bill by dividing the extra $136 by 4:
136 ÷ 4 = 34 pieces

There are 34 pieces of $5 bill.

Since there are 34 pieces of $5, the rest must be the $1 bill
60 - 34 = 26

There are 26 pieces of $1 bill.

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Answer: 26 pieces of $1 bill and 34 pieces of $5 bill.
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7 0

3 years ago