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SCORPION-xisa [38]

3 years ago

7

132 books are printed in 2 hours, 264 books are printed in 4 hours, and 528 books in 8 hours, how many books are printed in 3 ho

urs, 7 hours, and 15 hours?

1 answer:

maxonik [38]3 years ago

3 0

So the unit rate is 66:1
then you do 66*3=198
198:3
then you do the same thing 66*7=462
462:7
lastly you do 66*15=990
990:15

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th

FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49 --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2 --> eqtn 2</span>

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11 --> eqtn 3</span>

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

Answer:

<span>George will choose some of each commodity but more y than x.</span>

7 0

3 years ago

Match the number on the left with the proper combination of number types on the right.

mojhsa [17]

A: REAL, RATIONAL, INTERGER, WHOLE, NATURAL, OR COUNTING

6 0

3 years ago

If /_\CAT ~= /_\LUV then /_\c ~=/_\L. True or False?

yulyashka [42]

Answer:

true

Step-by-step explanation:

5 0

2 years ago

A company that has 350000 shares declares an annual gross profit of $2450665, pays 18.5% of this in tax, and reinvests 25% of th

podryga [215]

Gross profit, G = $2450665

Tax, t=18.5%

reinvestment, r = 25%

Total dividends

= G(1-t)(1-r)

=2450665*(1-0.185)(1-0.25)

=1497968.98

Dividend per share

=1497968.98/350000

=4.280

Earnings per share

EPS = Net profit / number of shares

= 2450665(1-0.185)/350000

=5.7065

Current price = 43.36

P/E ratio

= Current price/EPS

= 43.36/5.7065

= 7.598

=7.6 to one decimal place.

8 0

3 years ago

15 crackers weigh 69 grams. how many kilograms is this?

Marrrta [24]

Answer:

$0.069\ kg$

Step-by-step explanation:

we know that

1 kg=1,000 g

so

using proportion

Find out how many kilograms are 69 grams

Let

x -----> the weight in kg

$\frac{1}{1,000}\frac{kg}{g} =\frac{x}{69}\frac{kg}{g}\\\\x=\frac{69}{1,000}\\\\x=0.069\ kg$

6 0

4 years ago