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PIT_PIT [208]
3 years ago
10

A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds? Round your answer to the neares

t hundredth.
A. 78.92 pounds B. 12.24 pounds C. 112.49 pounds D. 53.44 pounds
Mathematics
1 answer:
Fed [463]3 years ago
5 0
D because 375 * .1425 = 53.44
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Each carton 12 eggs. There are 2 full cartons in the refrigerator. Margot uses 3 eggs to make a quiche. How many eggs are left.
3241004551 [841]

Answer:

Answer: There are 21 eggs left.

Step-by-step explanation:

One carton has 12 eggs.

2 cartons are two times one carton, so two cartons have 2 times 12 eggs.

2 * 12 = 24

There are 24 eggs in two cartons.

Margot uses 3 eggs. We subtract 3 eggs from 24 eggs.

24 - 3 = 21

Answer: There are 21 eggs left.

6 0
3 years ago
Find the difference. express your answer in simplest form. (2s/s^2-4s+4) - (4/s^2-4s+4)
LUCKY_DIMON [66]
To find the difference, we are going to destroy the parenthesis first, and then, we are going to perform the operations. Remember that to destroy a parenthesis preceded by a negative sign (-), you should change the signs of the factors inside the parenthesis:
\frac{2s}{s^2-4s+4} -( \frac{4}{s^2-4s+4} )
\frac{2s}{s^2-4s+4} -\frac{4}{s^2-4s+4}= \frac{2s-4}{s^2-4s+4}

Now we can factor both numerator and denominator and simplify:
\frac{2s-4}{s^2-4s+4} = \frac{2(s-2)}{(s-2)^2} = \frac{2}{s-2}

We can conclude that the difference in simplest form is: \frac{2}{s-2}
5 0
3 years ago
Read 2 more answers
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the
Inga [223]

Answer:

See the explanation below

Step-by-step explanation:

Number of months =4

Number of copies =450000

Number of pages =60

Number of copies in 4 months =450000*4

=1800000

Number of pages is

=1800000 *60

=108,000,000

7 0
2 years ago
Jan is saving for a skateboard. She save $30 already which is 20% of the total price. How much does skateboard cost
Stolb23 [73]
The skateboard cost $150
3 0
3 years ago
Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $
Gala2k [10]

Answer:

Solution is:

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Step-by-step explanation:

From the problem statement we have:

Resources:      machine time ( 183 h)      labor (250  h)   steel  185 (pounds)

Unit

Spoons                          4                                     4                          3

forks                               4                                     9                          2

knives5                          5                                     5                          4

Profit $                           9                                    20                       17.5

Objective function z =  9*x₁  +  20*x₂  + 17.5 *x₃   to maximize

Subject to:

Availability of machine time  :  183 h

4*x₁  +  4*x₂ +   5*x₃ ≤  183

Availability of labor  :  250 h

4*x₁  +  9*x₂  +  5*x₃  ≤  250

Availability of steel  :  185 pounds

3*x₁  +  2*x₂  +  4*x₃  ≤  185

Requirement:

x₂ ≥ 16

General constraints:

x₁  ≥ 0             x₃      ≥  0 all integers

After 6 iteration the solution using AtomZmath on-line solver

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Resources used:

Machine time: 16* 4 + 21*5  =  64  +  105  = 169

remains   183 - 169  = 14 h

Labor:  16*9  +  21* 5  =  144  +  105  =  249

remains   250 -  249  =  1 h

Steel :  16*2  +  21*4  =  32  + 84  =  116

remains   185  -  116  = 69 pounds.

If it is decided that 20 units of forks are to be made then

we will need   4*4 = 16   h of machine time

                         9*4 =  36 h  of labor

                         2*4 = 8 pounds of steel

We can get that from abandom to make one unit of x₃ ??

No because as we said we need 36 hours  of  labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.

z we got is maximum

5 0
3 years ago
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