Let:
x = Pounds of walnuts in the mix.
Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.
Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10
The total cost of the mix is, therefore: 0.8x + 10 dollars.
We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.
Equating both costs:
0.8x + 10 = 1*(8 + x)
Operating:
0.8x + 10 = 8 + x
Subtracting x and 10:
0.8x - x = 8 - 10
Simplifying:
-0.2x = -2
Dividing by -0.2:
x = -2/(-0.2)
x = 10
Answer: 10 pounds
Answer:
a. the less variability it has
Step-by-step explanation:
The standard deviation is a measure of the amount of variation or dispersion of a set of values.
When your standard deviation is big your data is more dispersed.
When your standar deviation is small your mean is a representative index of your data, and there is less variability.
If there was no dispersion of the data (if all your data be the same) then the standard deviation will be 0.
Answer:
12.56 feet
Step-by-step explanation:
The perimeter of a shape is the sum of all its side.
Since circle doesn't have "sides", the perimeter is the length of the whole circle. This has the name "circumference".
The circumference of a circle has the formula:
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
Where
C is the circumference (perimeter of a circle)
r is the radius
Given,
r = 2 feet
We substitute and find the circumference, using 3.14 as
,
![C=2\pi r\\C=2(3.14) (2)\\C=12.56](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%5C%5CC%3D2%283.14%29%20%282%29%5C%5CC%3D12.56)
Hence, the circumference is 12.56 feet
Answer: Choice C) AA similarity
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We are given that angle ABE = angle ECD since they are both right angles (square marker)
Angle AEB = angle CED as they are vertical angles
we have two pairs of congruent angles, leading us to be able to use the AA (angle angle) similarity theorem
Step-by-step explanation:
[ Refer to the attached file ]
( Slide to refer all files )
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• To solve Questions of type 11 we need to simplify the equation by using mathematical operations !!
• To solve Questions of type ( 13 , 15 and 17 ) we try to make the bar numeral to come other side of decimal
° and by subtracting we get the required fraction !!
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