Answer: the cost of each bush is $15
the cost of each flower is $2
Step-by-step explanation:
Let x represent the cost of each bush.
Let y represent the cost of each flower.
Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as
12x + 30y = 240- - - - - - - - - - -1
Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as
7x + 10y = 125- - - - - - - - - - -2
Multiplying equation 1 by 7 and equation 2 by 12, it becomes
84x + 210y = 1680
84x + 120y = 1500
Subtracting, it becomes
90y = 180
y = 180/90
y = 2
Substituting y = 2 into equation 1, it becomes
12x + 30 × 2 = 240
12x + 60 = 240
12x = 240 - 60 = 180
x = 180/12
x = 15
Step-by-step explanation:
3p−5>2p+p−7
3p−5>3p−7
3p−5−3p>3p−7−3p
−5>−7
−5+5>−7+5
0>−2
Answer:
All real numbers are solutions.
-sammy
Hope this helps u mark me as brainiest if u think its right
Answer:
In order to find the slope (m), and the y-intercept of this coordinate pair, you must complete rise over run.
This is represented by y2-y1, x2-x1. This can be represented like so:
-4-0 = -4
5--4 = 9
Here, we have concluded that our slope is -4/9.
Now, we must convert this into point slope form. Point slope form is y-y1=m(x-x1). This will look like this in our situation:
y+4=-4/9(x-0)
To solve, distribute the -4/9 first, which will leave you with:
y+4=-4/9x+0
Now, subract the 4 to both sides of the equation.
Our final answer looks like: y=-4/9-4.
<em>-</em>
<em>SLOPE: -4/9</em>
<em>Y INTERCEPT: -4 </em>
Answer:
7. combination; 25C6 = 177100
8. combination; 15C5 = 3003
Step-by-step explanation:
7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.
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8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.
_____
Of course, nCk = n!/(k!(n-k)!)
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