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mylen [45]
3 years ago
6

Use the rules for long division to divide 724 by 11. A. 64 B. 66 C. 65 D. 65r9

Mathematics
2 answers:
ziro4ka [17]3 years ago
3 0
It should be d sixty five r nine
Rudik [331]3 years ago
3 0
The answer is D 65 r.9
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A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 30 minutes for the la
Anuta_ua [19.1K]

Answer:

60 minutes for the larger hose to fill the swimming pool by itself

Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

takes 30 minutes for the larger hose to fill the swimming pool by itself

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

<u>To find LCM of 20 and 30</u>

LCM (20, 30) = 60

<u>To find the efficiency </u>

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

x = 60/30 =2

x + y = 60 /20 = 3

Therefore efficiency of y = (x + y) - x =3 - 2 = 1

so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes

8 0
3 years ago
Find the surface area of the cylinder use 3.14 for pi​
elena55 [62]

Answer:

351.658 square in

Step-by-step explanation:

First find the circumference of the circle

C = 25.13

Find area of the circle

A = 50.27

Multiply the circumference by the height

25.13 × 10 = 251.3

Add 251.3 with 50.27 twice

251.13 + 50.27 + 50.27 ≈ 351.658

Therefore your answer is D) 351.658 square in

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3 years ago
ALGEBRA On the first Tuesday of every month, Roth's gives seniors a 15%
iVinArrow [24]

Answer:

Let selling price of three-piece suit = x. Applying 7% sales tax, total amount paid = x + xx7 - $152.79. 100 207 100 ०१ This is the $ 152.79 os, x- $142.7943 price after marked down of 40%, let the regular price of three-piece suit be = y. Therefore y [ 3 - 4m] $342.1943 1 - - $237.99 Regular price of 1 piece suit $ 237.99

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