I believe she would have 45 gems total
3 diamonds
5 pearls per diamond = 15 pearls
2 opals and 3 rubies per diamond= 6 opals and 9 rubies
2 emeralds per opal= 12 emeralds
3+15+6+9+12= 45 gems total
b. Write two possible solutions:
In inequality system, for the zoo keeper fencing, the greater than sign used for at least word of habitat length and less then sign used for no more than word.
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs. The system having linear inequality equations is called the linear inequality system.
Given information-
The length of the habitat should be at least 80 feet.
The perimeter of the habitat should be no more than 300 feet.
Suppose is the length of the rectangular habitat and is the width of the rectangular habitat.
As the length of the habitat should be at least 80 feet. Thus the value of should be more than or equal to the 80 feet. Therefore,
Perimeter of the rectangle is twice the sum of length and width. As the perimeter of the habitat should be no more than 300 feet. Thus,
Hence, the system of inequalities for the given problem is,
The graph which shows the inequalities of is attached below.
As in the graph attached below shown the area which can be gives the solution for the given system. We take two points as, (90,20)and (110,30).
Thus the dimensions for two possible solution are 90 ft by 20 ft and 110 ft by 30 ft.
Hence,
Learn more about the linear inequality system here;
Answer:
Let's solve the problem step-by-step:
We are given that the sum of three numbers is 2100. Let's call the first number x and the other two numbers y and z.
From the information given, we know that x = y + z, and y = z (the other two numbers are equal to each other).
Substituting y = z into x = y + z, we have x = 2z.
We are also given that the sum of the three numbers is 2100. So, we can write the equation x + y + z = 2100.
Substituting x = 2z and y = z, we have 2z + z + z = 2100.
Simplifying the equation, we have 4z = 2100.
Dividing both sides of the equation by 4, we find z = 525.
Substituting z = 525 back into y = z, we find y = 525.
Finally, substituting z = 525 and y = 525 back into x = 2z, we find x = 1050.
Therefore, the three numbers are x = 1050, y = 525, and z = 525.
Among the options provided, the correct answer is A) (1050, 525, 525).
Answer:
6 cm
Step-by-step explanation: