Answer:
2 miles and 88 yards.
Step-by-step explanation:
4 has 2*2 as prime factors
5 is prime
10 has 2 and 5 as prime factors
Thus, the lowest common denominator will be 2*2*5
3/4=15/20
3/5=12/20
7/10=14/20
Now that we have three fractions with the same denominator, we can add the numerators
15+12+14=41
So 41/20ths
That’s 2 and 1/20th
So the final answer is 2 miles and 88 yards! :)
Given :
A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3/4 pounds the first month and 11 5/8 pounds the second month.
To Find :
How much weight must be lost the third month for the goal to be achieved.
Solution :
Let, weight lose in third month is x.
So, 8 3/4 + 11 5/8 + x = 26
Therefore, weight lose in third month is 5.625 pounds.
Hence, this is the required solution.
Answer:
50 units
Step-by-step explanation:
Find the number of units x that produces the minimum average cost per unit C in the given equation.
C = 0.001x³ + 5x + 250
unit cost f(x) = C/x
= 0.001x³/x + 5x/x+ 250/x
f(x) = 0.001x² + 5 + 250/x
f'(x) = 0.002x - 250/x²
We equate the first derivative to zero
0.002x - 250/x² = 0
0.002x = 250/x²
Cross Multiply
0.002x × x² = 250
0.002x³ = 250
x³ = 250/0.002
x³ = 125000
x = 3√(125000)
x = 50 units
Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.
The estimated number of ramps that can be cut from the board in discuss is; 6 ramps which is a reasonable assumption provided that each ramp is about 2 feet long.
b). The number of ramps that can be cut from the 12 1/2 feet long board is 6 and hence, the length of wood left is; 1/2.
<h3>What is the number of ramps that can be cut from the 12 1/2 feet long board?</h3>
It follows from the task content that skateboard ramps are made from a 12 1/2 feet long ramp.
Consequently, on the assumption that the quantity by measure of length of the board required to make one skateboard ramp is 2 feet, it follows that the estimated number of ramps that can be made from the board is; 12/2 = 6 skateboard ramps.
Ultimately, the amount of wood which is left over upon making the ramps is; 12 1/2 - 12 = 1/2.
Read more on division;
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