the correct answer is option C.
hope this was helpful..:-)
Answer:
Step-by-step explanation:
Yes, the irrational number stays irrational.
Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers. If you like, they can be relatively prime to each other.
a/b + x = c/d Subtract a/b from both sides.
x = c/d - a/b Now put the 2 fractions over a common denominator.
x = (c*b - d*a)/(b*d) Investigate what you have.
b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).
cb and da are also integers. subtracted integers are also closed under subtraction.
But
Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)
So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.
Answer: The system of equations is
40x + 55y = 920
40x + 65y = 1000
x is the cost of the adult ticket; y is the cost of the child ticket
Step-by-step explanation:
If you have to solve this, elimination is a good method.
Subtract the top equation from the second equation.
40x + 65y = 1000
<u>-40x + 55y = 920 </u> x cancels Solve for y
0 + 10y = 80 Divide both sides by 10
y = 8 . Substitute 8 for y in either equation and solve for x
40x + 65(8) = 1000
40x + 520 = 1000 Subtract 520 from both sides
40x = 1000 - 520
40x = 480 Divide both sides by 40
x = 12
Step-by-step explanation:
idek but Goodluck and I hope you figure it our bye.
Answer:
18 bookshelves and 7 table Andrew should make to maximize profit
Step-by-step explanation:
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $675
Let x be number of bookshelves built.
Let y be number of tables built.
The total number of bookshelves and tables = 25
⇒x + y = 25 --1
The total amount available to build x bookshelves and y tables = $675
⇒20x + 45y = 675
dividing through by 5
⇒4x + 9y = 135 ----2
Substitute value of y from (1) into (2).
4x + 9(25 - x) = 135
4x + 225 - 9x = 135
-5x = -90
x = 18
From (1),obtain
y = 25-18= 7
The profit is $60 per bookshelf and $100 per table.
The profit = 18*60 + 7*100 = $1780
So, 18 bookshelves and 7 table Andrew should make to maximize profit.