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
Yes it is greater than 6 because of common denominator
Answer:
11.18 or 11 yards
Step-by-step explanation:
15² - 10² = x²
225 - 100 = x
225 - 100 = 125
√125 = 11.180339887498948482045868343656
11.180339887498948482045868343656 rounded to the nearest hundredth is 11.18; to the nearest tenth is 11.2; and to the nearest one is 11.
Answer:
Step-by-step explanation:
y e s , m e h f r i e n d
Question:
Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?
Answer:
1/72
Step-by-step explanation:
<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is 1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is 1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>
<em>I had this same question on my test!</em>
<em>Hope this helped! Good Luck! ~LILZ</em>
