Answer:
original number is 57
Step-by-step explanation:
I am not sure if there is a correct way to do this...but I am just guessing and checking to find the answer.
the possible 2 digit numbers that equal 12 are :
39,93,48,84,57,75,66
the number obtained by interchanging the digits exceeds the original number by 18....so the original number is 18 less then the new number.
the only two numbers whos difference is 18 is 57 and 75.....75 - 57 = 18
so the original number is 57.....and the new number obtained by interchanging the digits (75) exceeds the original number by 18...and 75 - 57 = 18.
Answer:
y = - 5x
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 10 when x = 2, thus
k = = = - 5
y = - 5x ← equation of variation
Answer:
3/6 or 1/2 or 50:50 there all right
Step-by-step explanation:
I am guessing that by simple dice you mean a 6 sided die and we know that 6 sided dice goes up to 6 and there are 3 prime number up to 6 which are 2 3 5 so if 3 out of 6 numbers are prime it is half of the dice so there is a 50/50 chance you role a prime number
Answer/Step-by-step explanation:
The corresponding segments of two similar figures are always proportional to each other. I'm other words, the ratio of their corresponding segments are equal.
The figures shown above in this question are not similar figures because their segments are not proportional to each other.
This is because:
DE/KL ≠ FG/MN
DE = 2 units
KL = 1 unit
FG = 1 unit
MN = 1 unit
DE/KL = 2/1 = 2
FG/MN = 1/1 = 1
Thus, DE/KL ≠ FG/MN.
Therefore, the figures are not similar.
Answer: B. objective is expressed in terms of the decision variables
Step-by-step explanation:
Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.
The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.
Therefore, the correct option is B