On Monday Anya read 11 pages of a book in 1/2 hour. On Tuesday, she read 18 pages in 3/4 hour. Did Anya’s reading increase by mo
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Answer:
The best estimate is 90.
Step-by-step explanation:
Given : Quotient 5,397 divided by 62 .
To find : The best estimate of the given situation.
Solution : We solve this by approximating the term and then divide to get solution.
Approximation is rounding off the number
→ When the ones digit is greater than 5 (5, 6, 7, 8, or 9) then it round the number up.
→ When the ones digit is less than 5 ( 0, 1, 2, 3, or 4) then it round the number down.
Approximation of 5397 to hundredth is 5400
Approximation of 62 to tenth is 60
Now, divide 5400 by 60
Therefore, The best estimate is 90.
We can also cross check by actual division of 5397 by 62.
When we approximate 87.04 it round off to 90.
The solutions to the systems of equations are:
1. (2, 3) (see attachment below). [one solution]
2. no solution
3. (3, 13) [one solution]
<h3>Solution to a System of Equations?</h3>The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.
1. Using graph to solve y = 2x - 1 and y = 4x - 5:
The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]
2. Solving using substitution method:
x = -5y + 4 ---> eqn. 1
3x + 15y = -1 ---> eqn. 2
Substitute x = -5y + 4 into eqn. 2
3(-5y + 4) + 15y = -1
-15y + 12 + 15y = -1
-15y + 15y = -1 - 12
0 = -13 (this shows that there is no solution)
3. Using elimination method:
14x = 2y + 16 ---> eqn. 1
5x = y + 2 ---> eqn. 2
1(14x = 2y + 16)
2(5x = y + 2)
14x = 2y + 16 ----> eqn. 3
10x = 2y + 4 -----> eqn. 4
Subtract
4x = 12
x = 12/4
x = 3
Substitute x = 3 into eqn. 2
5(3) = y + 2
15 = y + 2
15 - 2 = y
13 = y
y = 13
The solution is: (3, 13).
Learn more about the solution of a system of equations on:
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