How much orange juice at 42¢ a liter should be mixed with grapefruit juice worth 32¢ a liter to make 200 liters of a mixture worth 36¢ a liter?If x represents the amount of orange juice used, then which of the following expressions represents the total cost of the grapefruit juice used?
0.32x
0.32(200 - x)
0.32(x + 200)
Answers
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
Cost of grapefruit per liter = 32
Cost of orange juice per liter= 42
Total quantity of mixture = 200 liters
Let the quantity of orange juice be x
So, the quantity of grapefruit juice be 200-x
So, the total cost of the grapefruit juice used will be
According to question,
Hence, Second option is correct.
If it says that the total of the juice will be 200 liters, then (200-x) = the amount of grapefruit juice that still needs to be mixed.
The grapefruit juice amount would be: 200 - 80 = 120 liters
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Answer:
24m^3-160m^2+225m+30
Step-by-step explanation:
Ok so i attached it as a picture.
Answers
Answer:
b) 1.22
Step-by-step explanation:
22% as a decimal is 0.22. But we want to increase the number, meaning that we have to keep it to start, or multiply it by 1. And then we also multiply by 0.22. Thus multiplying by 1.22.
Final answer:
The percentage multiplier to increase a quantity by 22% is 1.22. You calculate this by adding the percentage increase as a decimal to 1.
Explanation:
The question asks for the percentage multiplier to increase a quantity by 22%. This falls within the domain of mathematics, particularly algebra and critical numeracy skills.
To calculate a percentage increase, you would start with the original amount represented as 1 (or 100%), and then add the percentage increase as a decimal.
So, for a 22% increase, you would add 0.22 to 1, which results in 1.22.
Therefore, the correct answer to the question is b. 1.22.
This multiplier is then applied to the quantity you wish to increase, effectively increasing it by the desired percentage.
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Answers
Multiply each side by 9/5 : 9/5 C = F - 32
Add 32 to each side: 9/5 C + 32 = F
c = 5/9f-160/9 /*9
9c=5f-160
5f-160=9c
5f=9c+160 /: 5
f = (9c+160)/5
Answers
3≈33.51032 =33.51 is the answer
Longer Answer: The formula for volume of a sphere is ( 4 * pi * radius^3) / 3. So, when the radius is 2cm, then it would be ( 4 * 3.14 * 2^3) / 3. We have to do the exponents first, so 2 ^ 3 is 2 * 2 * 2 = 8. Then, we solve the rest of the expressions within the bracket, which will give us ( 100.48 ) / 3, and that equals 33.5
Answers
Answer:
The graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).
Step-by-step explanation:
The parent log function is
The translation of the function is defined as
.... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The given function is
.... (2)
From (1) and (2), we get
Since a=-5<0, therefore the graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).
The transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).
Describing the transformation of f(x) to g(x).
From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = log(x - 5)
g(x) = log(x)
So, we have
Difference = 5 - 0
Evaluate
Difference = 5
This means that the transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).
Read more about transformation at
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10 cm
80 cm
120 cm
Answers
V = lwh Volume of a rectangular prism
100 = 20h Substitute. Keep in mind that the base is length times width, so 20 accounts for both variables.
5 = h Divide both sides by 20
The height of the rectangular prism is 5 cm.
Hope this helps!
Answer:
5 CM
Step-by-step explanation: