Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.
Step-by-step explanation:
The given equation is:
12x + 15y = 4140 .....(1)
Where,
x stands for $12 tickets and y stands for $15 tickets
According to the question:
x + y = 300 ....(2)
Now solving equation 1 and 2.
From equation 2:
x = 300 - y
Now putting this expression in equation 1.
12x + 15y = 4140
12(300 - y) + 15y = 4140
3600 - 12y + 15y = 4140
3600 + 3y = 4140
3y = 4140 - 3600
3y = 540
y = 180
And,
x = 300 - y = 300 - 180 = 120
The number of $12 tickets sold = x = 120
The number of $15 tickets sold = y = 180
Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.
12 inches go into one foot, so we can calculate the volume of the tank in inches to make the calculations that follow easier. Therefore, to calculate the volume of the tank, we use length x breadth x height = 4 x 2 x 2 = 16 square feet x 12 for square inches = 192 square inches.
Every 12 square inches Joseph can fit a one inch fish. The fish that he has are 3 inches long, therefore he can only fit one fish every 36 square inches.
That means that if we take the total volume of the tank and divide it by the space that a 3 inch fish will take up, we are left with 192/36 = 5.3 fish.
You cannot have a third of a fish, so we round off to the nearest whole number, and we determine that Joseph can put 5 fish in his new aquarium.
Answer:
x = 37.85
Step-by-step explanation:
Answer:
By plotting in the number in the equation (aka where all the x’s are variables are) and seeing if it works.
Step-by-step explanation:
For example, let’s use the problem:
3x + 4 = 16
if the given number is 4, we fill it in for x-
3 (4) + 4= 16
solve to see if true:
12 + 4 = 16
16 = 16
hence, the given number 4 makes the equation true!
hopes this helps, have a great day :)
Answer:
(a) 1/6
(b) 1/2
(c) 1/3
Step-by-step explanation:
There are 6 possible outcomes.
(a) The number is 2: only 1 outcome out of 6, hence 1/6
(b) The number is even: {2, 4, 6} - 3 outcomes out of 6, hence 3/6 = 1/2
(c) The number is greater than four: {5, 6} - 2 outcomes out of 6, hence 2/6 = 1/3