What is the solution of the system
What is the solution of the system - 1

Answers

Answer 1
Answer:
x - 2y = 4 \n x = 2y + 4 \n 3(2y + 4) + y = 5 \n 6y  + 12 + y = 5 \n 7y =  - 7 \n y =  - 1
x = 2(-1) + 4
x = 2

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Question 2 Unsaved Simplify. 3c812c12

Answers

I think the answer would be that the dimplified form of 3c8/12c12 is
c^20
———
4

Suppose PR = 54, solve for QR

Answers

We will use the segment addition postulate.

PQ + QR = PR

4x - 1 + 3x - 1 = 54

7x - 2 = 54

7x = 56

x = 8

So QR is 3(8) - 1 or 24 - 1 which is 23.

Answer:

QR is 23

Step-by-step explanation:

  • PR = 54
  • Which means:
  • (4x-1)+(3x-1)=54
  • We can solve for x to find what QR is:
  • 7x-2 =54
  • 7x=56
  • x=8
  • Plug in x for QR equation:
  • 3(8)-1 = 24-1=23
  • 23 is the answer

Given the digits 2,5,7,9, 4, and 1, how many 4-digit codes can be made if 4 pointsthe first digit must be even and the last digit must be greater than 6?
80
120
48
144

Answers

Answer:

144

Step-by-step explanation:

first digit of the code: only 2 and 4 are the only even numbers availible, so only 2 possibilities for the first digit.

2nd digit of code: 2,5,7,9,1 so 6 possibilities for the 2nd digit.

3rd digit of code: 2,5,7,9,1 so 6 possibilities for the 3rd digit.

4th digit of code: only 7 and 9 are greater tyhan 6 so only 2 possibilities for the 4th digit.

SO...

2 x 6 x 6 x 2 = 144

An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000?The answer is 32, I need an explanation how to find the answer.

Answers

B) 32

Explanation:

let H = number of expensive high price stereo

systems

let L = number of less expensive low price

stereo systems

H +L = 50 =

3,000H + 80OL = 110,000

H = 50 - L (now replace)

3,000 (50 - L) + 800 L = 110,00

150,000 - 3,000L + 800L = 110,000

150,000 - 110,000 = 3,000L - 800L =

40,000 = 2,2OOL

L = 40,000 / 2,200 = 18.18 = 18 lower priced = =

stereo systems H = 50 - 18 = 32 higher priced stereo systems

=

=

(3,000 x 32) + (800 x 18) = 96,000 + 14,400 = 110,400

Even though the answer is not exact, if you had 33 high cost stereo systems, your inventory's cost = $112,600 which is $1,600 off

the states of nature are defined so that they are which of the following, meaning that at least one state of nature must occur at a given time for a chance event? mutually exclusive optimistic outcomes collectively exhaustive certain events

Answers

The states of nature must be mutually exclusive and collectively exhaustive.

The states of nature in decision theory are defined as mutually exclusive and collectively exhaustive, meaning that they are the only possible outcomes of a chance event, and only one of them can occur at a given time.

In other words, the states of nature represent all the possible outcomes of a chance event, and they are mutually exclusive because they cannot occur simultaneously. For example, if the states of nature are "rain" and "no rain," then either it will rain or it will not rain at a given time, but not both.

The term "collectively exhaustive" means that the set of states of nature includes all possible outcomes, so that there are no other possibilities beyond the ones listed. This ensures that the decision maker has considered all possible outcomes when making a decision.

To learn more about collectively exhaustive., visit:

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With a full tank of gas, if you can drive 470 miles, your car can go 21 miles per gallon.Write an equation to model this situation (use m for miles you can drive and g for gallons in tank).

Answers

M=21g
If you have a gallon of gas then you can only drive 21 miles. M depends on G and G depends on M