Answer: cost of 1 pot of ivy = $12
Cost of 1 rose bush =$ 10
Step-by-step explanation:
Step 1
Let rose bushes be represented as r
and pot of ivy be represented as p
such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as
7 r + p = 82----- eqn 1
Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as
5r +2 p = 74----- eqn 2
Step 2
Solving
7 r + p = 82----- eqn 1
5r +2 p = 74----- eqn 2
By elimination method Multiply eqn 1 by 5 and eqn 2 by 7
35r+ 5p= 410--- eqn 3
35r+ 14p =518--- eqn 4
Subtracting eqn 4 from eqn 3
9p = 108
p = 108/9
p=12
p = pot of ivy = $12
therefore rose bush wll be ( from equation 1)
7r+ p= 82
7r=82-12
7r= 70 r= 70/7
r= rose bush =$ 10
The sum stays the same??? I’m pretty sure that’s the answer
<span>180-90-50=40 degrees</span>
The equation is 30,000+200x=80,000. X is the number of sales.
The slide needs to be 4.123 meters
Step-by-step explanation:
Length for the ladder- 1 mtr
Distance of the bottom of the slide from the ladder- 4 mtr
Length of the slide needed
We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)
For right-angled triangle we know from Pythagoras theorem-
Base² + altitude²= hypotenuse
²
Substituting the values of base as 4 mtr and altitude as 1 m
(Hypotenuse)²= 17
∴ Hypotenuse (slide length) =4.123 mtr
∴ Length of the slide needed= 4.123 meters