I have 2 eggs and 1 apple. What is the total?
Answer:
1.72 ≤ t ≤ 1.85
Step-by-step explanation:
Given :
Distance = 100 miles ;
Speed = 56 miles per hour, to the nearest 2 miles per hour
Hence, the speed range is :
(56 - 2) mph ; (56 + 2) mph
Range of possible Time taken, t :
Distance / speed ;
100 / 58 ≤ t ≤ 100 / 54
1.72 ≤ t ≤ 1.85
what variable are we to find?
Y = (2/3)x + 6
3y - 5x = 9
find an expression for y from the second equation:-
y = (5/3)x + 3
Now substitute this for y in the first equation:-
(5/3) x + 3 = (2/3)x + 6 Now solve for x:-
(5/3)x - (2/3)x = 6 - 3
x = 3
Now plug x = 3 into the second equation to find the value of y:_
3y - 5(3) =9
3y = 15+9 = 24
y = 8
So the solution is x = 3, y = 8
written as a set this is {3,8}.
Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
For the system, we consider that:
- x is the number of books on the first shelf.
- y is the number of books on the second shelf.
- z is the number of books on the third shelf.
In total, there are 152 books, hence:

The first shelf has 7 fewer books than the second shelf, hence:

Also, it has 11 more books than the third shelf, hence:

Then:


Then, replacing in the first equation:





The number of books in each shelf has to be countable, that is, cannot be decimal.
- Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
To learn more about system of equations, you can take a look at brainly.com/question/14183076