Answer:
(3m-4/5)2
Final result :
(15m - 4)2
——————————
52
Step by step solution :
Step 1 :
4
Simplify —
5
Equation at the end of step 1 :
4
(3m - —)2
5
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
3m 3m • 5
3m = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m • 5 - (4) 15m - 4
———————————— = ———————
5 5
Equation at the end of step 2 :
(15m - 4)
(—————————)2
5
Step 3 :
Final result :
(15m - 4)2
———
52
Step-by-step explanation:
The correct answer is D
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2
to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.
To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y
-13 + -1 = -14
-14/2 =-7
10+ -6 = 4
4/2 = 2
therefore (h,k) = ( -7, 2 )
Next plug these values in the equation of a circle
(x-h)^2 + (y-k)^2 = r^2
becomes
(x- (-7)) ^2 + (y-(2)) ^2 = r^2
to find r, use the distance formula to find the length of the diameter, 20, and divide by 2
plug 10 in for r and you get 100
(x+7)^2 + (y-2)^2 = 100
sorry for the late response
The lowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%
<h3>How to calculate the percentage?</h3>
(Price- Unit Cost)/Price= 20% or 0.2
Price- Unit Cost= 0.2 Price
0.8 Price = Unit Cost
Let Unit Cost be x
Price = x/0.8= 1.25x
Dye is 60% of unit costs= 0.6x
Cost of remaining material= 1 - 0.6x = 0.4x
Unit Cost= Cost of Dye+ Cost of remaining material
So, in order to become unprofitable, Unit Cost must be 1.25x
Therefore
1.25x= Maximum cost of dye+ 0.4x
Maximum Cost of Dye = (1.25-0.4)x = 0.85x
Percentage change in cost of dye= {(0.85x-0.6x)/0.6x}*100= 41.66 or 42%
Therefore, theowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%.
Learn more about percentages on:
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Answer:
Step-by-step explanation:
-2x-14+10x=34
8x-14=34
8x=48
x=6
Answer:
1/5^3
Step-by-step explanation:
I'm not sure how to explain this, but if there is a negative exponent, then it can be written like this, as the denominator of a fraction.
