27/36 = n/4
27*4 = 36n
108 = 36n
108/36 = 36n/36
n = 3
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
8x + 2 < 6x - 9
8x - 6x < -9 -2
2x < -11
x < -11/2
Answer:
y + 7 = 
(x + 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = and (a, b ) = (- 6, - 7 ) , then
y - (- 7) = (x - (- 6) ) , that is
y + 7 = (x + 6)
Answer:
Infinite.
Step-by-step explanation:
Expand:
Add 6 to both sides:
Subtract 3x from both sides:
No matter what x is, it doesn't affect the answer. Thus, the equation is true for all values of x.
Answer:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} ........... (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 ........ (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
