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Licemer1 [7]
3 years ago
14

If you wanted to find the difference of 6/25-4/5 what common denominator should you choose and why?

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0
25 because it s a less common denominaor

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Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.
ololo11 [35]

Answer:

  • boat: 6 mph
  • current: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

  b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

  b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

  2b = 12 mi/h

  b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

  c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

6 0
2 years ago
A recipe for oatmeal raisin cookies calls for 1 2/3 cups of flour to make 4 dozen cookies .how many cups of flour are needed to
erastovalidia [21]
2 \frac{1}{2}
4 0
3 years ago
Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a
Bond [772]

f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x

f has critical points where f'=0:

3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi

where n is any integer. We get solutions in the interval \left[0,\frac\pi3\right] for n=0, for which x=\frac\pi4.

At this critical point, we have f\left(\frac\pi4\right)=3\sqrt2\approx4.243.

At the endpoints of the given interval, we have f(0)=3 and f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098.

So we have the extreme values

\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2

\min\limits_{x\in\left[0,\frac\pi3\right]}f=3

8 0
3 years ago
If EH = 76, calculate DI.
Montano1993 [528]

Answer:

DI = 38

Step-by-step explanation:

Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is

\frac{DI}{EH} = \frac{DC}{EC} , substitute values

\frac{DI}{76} = \frac{1}{2}  ( cross- multiply )

2DI = 76 ( divide both sides by 2 )

DI = 38

4 0
3 years ago
a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?
lord [1]

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

5 0
3 years ago
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