What is 0.7 turned into a fraction
1 answer:
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Answer:
10 pounds of raisins and 10 pounds of peanuts.
Step-by-step explanation:
Let c represent the pounds of chocolate covered raisins.
Let p represent the pounds of peanuts.
We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.
Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:
This represents the cost given c pounds of raisins and p pounds of peanuts.
Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:
We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:
We now have the system of equations:
First, since we know that c+p is 20, we can substitute that into the first equation.
Second, let's subtract p from both side for the second equation to isolate a variable. So:
Let's now substitute this into the first equation:
Distribute:
Combine like terms:
Subtract 30 from both sides:
Divide both sides by -0.3. So, the amount of peanuts needed is:
10 pounds of peanuts is needed.
This means that 20-10 or 10 pounds of raisins is needed.
Answer:
The probability of an eighth grader winning is 1/3
Step-by-step explanation:
Total no. of students = 42
Number of students in 7th grade = 21
Number of students in 8th grade = 14
Number of students in 9th grade = 7
Probability of event =
So,the probability of an eighth grader winning=
Hence The probability of an eighth grader winning is 1/3
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
