Answer:
-32x + 24y
Step-by-step explanation:
4(-8x + 6y) ⇒ -32x + 24y
Answer: it cost a customer $7.25 to buy five tulips and $10.5 to buy six roses.
Step-by-step explanation:
Let x represent the cost of 1 tulip.
Let y represent the cost of 1 rose.
The price of each tulip is the same and the price of each roses the same. One customer bought seven tulips and nine roses for $25.90. This means that
7x + 9y = 25.9 - - - - - - - - - - - - - - 1
Another customer bought for four tulips and eight roses for $19.80. This means that
4x + 8y = 19.8- - - - - - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 7, it becomes
28x + 36y = 103.6
28x + 56y = 138.6
Subtracting, it becomes
- 20y = - 35
y = - 35/ - 20
y = 1.75
Substituting y = 1.75 into equation 2, it becomes
4x + 8 × 1.75 = 19.8
4x + 14 = 19.8
4x = 19.8 - 14 = 5.8
x = 5.8/4
x = 1.45
The cost of 5 tulips would be
1.45 × 5 = $7.25
The cost of 6 roses would be
1.75 × 6 = $10.5
Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
Step-by-step explanation:
Let the number of twenties be x
Let the number of tens be x+1
Let the number of fives be x+2
Amount from twenties will be given as

Amount from tens will be given as

Amount from fives will be given as

According to question,

So, there are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
This equals the the area of white part / area of the entire dartboard
area of the entire board = pi * 6^2 = 36pi
area of white part = 36pi - 2^2*pi = 32pi
do required probability = 32pi / 36pi = 0.889 or 88.9 % (to nearest tenth)
or as a fraction it is 8/9
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