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almond37 [142]
3 years ago
5

311over500 as a decimal

Mathematics
1 answer:
larisa86 [58]3 years ago
6 0
Divide 311 and 500 to get the answer as a decimal so the answer would be 0.622
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A curve is describe by the following parametric equations:
soldi70 [24.7K]

Answer:

A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.

Step-by-step explanation:

x = 3 + t

y = t² − 4

Eliminating the parameter:

t = x − 3

y = (x − 3)² − 4

This is an upwards parabola with a vertex at (3, -4).

x = 3 + t, so as t increases, x increases.

So the curve is traced from left to right.

7 0
3 years ago
Haeden observed that 65% of her coworkers prefer the local talk news radio station. If 28 of her coworkers do not prefer talk ne
vekshin1

Part A


Let x represent the number of coworkers who prefer the talk news radio.


65% prefer the talk news radio,



100-65=35% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.


Part B


We apply ratio to find x.




65:x



35:28


Hence number that corresponds to 65% will be greater than 28.


If more, less will divide.


This implies that,



x=\frac{65\times 28}{35}=52


Hence 52 of her coworkers prefer the local news talk station.

5 0
3 years ago
What is the value of -91/5 - 10 + 2/5+ 2(14 1/2-7)
Scorpion4ik [409]

Answer:

Exact Form:

−64/5

Decimal Form:

−12.8

Mixed Number Form:

−12 4/5

Step-by-step explanation:

bc I used a calculator

5 0
2 years ago
What is 0.6 divided by 10 to the negative 2 power
nika2105 [10]

0.6/10^-2

 move the decimal 2 places to the right

0.6 becomes 60

 answer is 60

8 0
2 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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