Answer:
lines are perpendicular
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
Where c is the value of the x- coordinates the line passes through
x = - 1 ← is the equation of a vertical line
The equation of a horizontal line parallel to the x- axis is
y = c
Where c is the value of the y- coordinates the line passes through
y = - 1 ← is a horizontal line
Since lines are vertical and horizontal they are perpendicular to each other.
The first picture about the rational numbers I am not sure the answer.
In the second picture the set that are all equivalent to the fraction is the second set.
In the third picture
the equivalent expression is the first one.
In the fourth picture the correct situation is the first one about buying popcorn.
Hope this helps a little, sorry I could not help more.
Answer:
Naruto and luffy and Goku will kill you.
Step-by-step explanation:
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600
Let x = number of bookshelves built.
Let y = number of tables built.
The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)
The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)
Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6
Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit
Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480
If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440
The choice of 8 bookshelves and 10 tables is more profitable.
Answer: 8 bookshelves and 10 tables.
Answer:
he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140
Step-by-step explanation:
