A
because a dilation changes the size of the shape, but it’s still similar because it’s proportional to the original triangle.
-4x+7>= 27
-4x >= 20
x <= -5
answer is B
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3x-10<-25
3x < -15
x<-5
answer is A
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5(x-2)>-15
5x - 10 >-15
5x >-5
x>-1
answer is D
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x/1 - 9 < -10
x-9<-10
x<-1
answer is C
Answer:
Number of Flowering Plants = 30
Number of vegetable plants = 20
Step-by-step explanation:
Im assuming the question is asking for the number of vegetables and number of flowers.
We need to convert 60% and 40% to decimal. The process is dividing by 100. Hence,
60% = 60/100 = 0.6
and
40% = 40/100 = 0.4
We multiply these with the total number to get number of vegetable and flowering plants.
So,
Number of Flowering Plants = 0.6 * 50 = 30
Number of vegetable plants = 0.4 * 50 = 20
The discount would be $185.25
Let x represent the amount of 10% solution used.
Let y represent the amount of 25% solution used.
Since 30 liters of 15% solution are being made, our first equation is
x + y = 30
Now we deal with the actual peroxide in each solution.
x liters of 10% peroxide contain 0.1x liters of peroxide.
y liters of 25% peroxide contain 0.25y liters of peroxide.
30 liters of 15% peroxide contain 0.15 * 30 = 4.5 liters of peroxide.
From this information, we can write our second equation.
0.1x + 0.25y = 4.5
We have a system of equations:
x + y = 30
0.1x + 0.25y = 4.5
Multiply the first equation by -0.25 and add to the second equation.
-0.25x - 0.25y = -7.5
0.1x + 0.25y = 4.5
---------------------------
-0.15x = -3
x = 20
Answer: 20 liters
