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vlada-n [284]
3 years ago
15

if every child took 12 apples,there would be three left.if each childtook 9 apples,there would be 21 apples left how many apples

are there.
Mathematics
1 answer:
White raven [17]3 years ago
5 0
Multiples of 12 : 12 , 24 , 36 , 42 , 60 , 72 , 84 , 96 , 108 , 120
3 left  (+3)        : 15 , 27 , 39 , 45 , 63 , 81 , 87 , 99 , 111 , 123

Multiples of 9   : 09 , 18 , 27 , 36 , 45 , 54 , 64 , 72 , 81 , 90
21 left  (+21)    : 30 , 39 , 48 , 57 , 66 , 75 , 85 , 93 , 102, 111

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Answer : There are 111 apples 
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(1) Define the decision variables (2) Define the objective function in mathematical form: (3) Write the technical constraint fun
alukav5142 [94]

Answer:

Explained and written below.

Step-by-step explanation:

(1) Define the decision variables.

Ans:- A decision variable is a quantity that the decision-maker controls. For Example:- In an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a Decision variable.

(2) Define the objective function in mathematical form.

Ans:-The objective function is a means to maximize (or minimize) Data. This data  is a numeric value: in the real world it could be the cost of a project, a production quantity, profit value, or even materials saved from a streamlined process. With the objective function, you are trying to arrive at a target for output, profit, resource use, etc.

(3) Write the technical constraint functions.

Ans:-A technical constraint Could be anything that limits the deployment of electricity Generation by Heat.There are some technical constraints are specific for device and but not all. It could be anything that programmed to run the devices.

(4) Write the non-negativity constraint.

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4 years ago
What is q+3/4 = 1/2?
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I will need to know what "q" is ?

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Which choice correctly explains which product is the better buy? Coffee Brand A is sold for $6.99 per pound Coffee Brand B is so
Valentin [98]

Answer: Choice B

Coffee Brand A is a better buy because its unit rate is $0.44 per ounce

=======================================================

Explanation:

Brand A is sold for $6.99 per pound, which is the same as saying $6.99 per 16 ounces. The unit rate is 6.99/16 = 0.436875 = 0.44 dollars per ounce

Brand B is sold for $5.69 for 12 ounces. The unit rate is  5.69/12 = 0.47416 = 0.47 dollars per ounce

Brand A is cheaper per ounce compared to brand B.

------------------

Here's another way we can look at it

Brand A is $6.99 per 16 ounces. We can set up the equation below

6.99 dollars = 16 ounces

then divide both sides by 16 to turn "16 ounces" into "1 ounce"

So,

6.99 dollars = 16 ounces

6.99/16 dollars = 16/16 ounces

0.436875 dollars = 1 ounce

0.44 dollars = 1 ounce

is the unit rate for brand A.

Similar steps would happen with brand B as well.

5 0
3 years ago
27
professor190 [17]
Answer: d = √10

———

process:

———

points:
(10,3) (7,2)

distance formula:
d = √( ( x2 - x1 )² + ( y2 - y1 )² )

———

d = √( ( 7 - 10 )² + ( 2 - 3 )² )

d = √( ( -3 )² + ( -1 )² )

d = √( 9 + 1 )

d = √10
5 0
3 years ago
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