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iogann1982 [59]
2 years ago
15

What is the GCF of 30 and 45? What is the LCM of 3 and 8?

Mathematics
1 answer:
mamaluj [8]2 years ago
4 0

Step-by-step explanation:

The gcf of 30 and 45 is 15.

The Lcm of 3 and 8 is: 24

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8xy= 2(2x + y) solve for y
STatiana [176]

Answer:  \displaystyle y= \frac{2\text{x}}{4\text{x} - 1}

============================================

Work Shown:

8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\

---------------

Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

Then factor out y and divide both sides by (8x-2)

Afterward there's the optional steps of simplifying (as shown in the final two steps).

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2 years ago
How do you write 2sin5cos5 as a single trigonomic ratio?
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ertyui

Step-by-step explanation:

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2 years ago
In a square,the sum of the length of three sides is 48 and in a rectangle the difference between a length and width is 7 in if a
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Answer:

23

Step-by-step explanation:

The sides of a square are all the same length, so if 3 of them total 48, one of them must be 48/3 = 16.

If the length of the rectangle is 7 longer than the side of the square, it is

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8 0
3 years ago
An astronaut is returning to Earth in a spacecraft. If the spacecraft is descending at a rate of 13.81 kilometers per minute, wh
Andreas93 [3]

Answer:

then 18 hours

Step-by-step explanation:

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2 years ago
A computer hard drive contains a circular disk with diameter 2.5 inches and spins at a rate of 7200 RPM (revolutions per minute)
PIT_PIT [208]

Now to solve this problem, all we have to remember is the formula for calculating the linear speed given the radial speed, that is:

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where,

v = is the linear velocity or linear speed

r = is the radius of the circular disk = (1 / 2) diameter = (1/ 2) (2.5 inches) = 1.25 inches

w = is the radial velocity (must be in rad per time) = 7200 rev per minute

 

Calculating for v:

v = 1.25 inches (7200 rev per minute) (2 π rad / 1 rev)

v = 56,548.67 inches / minute

 

Converting to miles per hour:

v = 56,548.67 inches / minute (1 mile / 63360 inches) (60 min / hour)

<span>v = 53.55 mile / hour</span>

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2 years ago
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