Answer:
Each daylilies cost $7
Step-by-step explanation:
Step one:
let roses be x
and daylilies be y
so
8x+15y=193--------------1
also
3x+12y=117--------------2
we can solve equations 1 and 2 by substitution
8x=193-15y
x=(193-15y)/8
put x= (193-15y)/8 in 3x+12y=117
3((193-15y)/8)+12y=117
(579-45y)/8+12y=117
579-45y=8(117-12y)
579-45y=936-96y
collect like terms
579-936=-96y+45y
-357=-51y
divide both sides by -51
y=-357/-51
y=7
Hence each daylilies cost $7
put y=7 in eqn 1
8x+15(7)=193
8x+105=193
8x=193-105
8x=88
x=88/8
x=11
rose cost $8
Answer:
150
Step-by-step explanation:
This is very easy question write all given and common
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Write equation
5x - 2(x + 1) = 1/4
Step 2: Solve for <em>x</em>
- <u>Distribute -2:</u> 5x - 2x - 2 = 1/4
- <u>Combine like terms:</u> 3x - 2 = 1/4
- <u>Add 2 to both sides:</u> 3x = 9/4
- <u>Divide both sides by 3:</u> x = 3/4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(3/4) - 2(3/4 + 1) = 1/4
15/4 - 2(7/4) = 1/4
15/4 - 14/4 = 1/4
1/4 = 1/4
Solve using the Pythagorean theorem.
The hypotenuse is c.