9514 1404 393
Answer:
- x+y=70; 8.50x+12.50y=10.56(70)
- 36 pounds Antigua
- 34 pounds Rift
Step-by-step explanation:
At the insistence of the problem author, we will let x represent pounds of Antigua coffee and y represent pounds of Rift coffee. Then we have ...
x + y = 70
8.50x +12.50y = 10.56(70) . . . . . total cost of the mix
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We like to use the variable to represent the high-cost contributor. Here, that is y, so we'll substitute for x:
x = 70-y
8.50(70 -y) +12.50y = 10.56(70)
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595 +4y = 739.2 . . . . . . . . . . . . . . simplify
4y = 144.2 . . . . . . . . . . . subtract 595
y = 36.05 . . . . . . . divide by 4
x = 70 -36.05 = 33.95
About 36 pounds of Rift Valley coffee and 34 pounds of Gualtemala Antigua coffee must be mixed.
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<em>Additional comment</em>
By letting the variable in our equation 8.50(70 -y) +12.50y = 10.56(70) represent the high-cost coffee, we ensure that the simplified equation will have a positive coefficient for the variable. This means we don't have to mess with negative numbers, so eliminating a common source of math errors.
The problem requirement that we use x for the low-cost contributor meant we introduced an extra equation that would not have been needed.
Answer:
100
Step-by-step explanation:
You need to subtract 80 from both sides to get m
If you subtract 80 from 188, you would get 108 which is close to 100
The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.
<h3>Surface area of a cone</h3>
surface area = πr(r + l)
where
- r = radius
- l = slant height
Therefore,
l = 20 inches
24π = 2πr
r = 12
Therefore,
surface area = π(12)(12 + 20)
surface area = 12π(12 + 20)
surface area = 12π × 32
surface area = 384π inches²
learn more on surface area here: brainly.com/question/2847956
I think the correct answer from the choices listed above is option C. A dot plot shows the frequency of the individual values of any given data set. It is also called a dot chart. It is a statistical chart that consists data points plotted on a simple scale. It is a representation of a distribution consists of group of data points plotted.
I think that it would be B). 1/2
The reason I think that is because if you add all the marbles up you get 22. Then if you add the red and the green marbles you get 11. 11 is half of 22 making it a 50% chance. 1/2 is the same as 50% or a half.
