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konstantin123 [22]
3 years ago
15

Simplify complex fraction 8 over 9/6 

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0
8/(9/6)
(8/1)/(9/6)
(8/1)*(6/9)
48/9
5 1/3
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jan, mya, and sara ran a total of 64 miles last week. jan and mya ran the same number of miles. sara ran 8 less miles than jan a
kherson [118]
x-\ Jan's\ destination\\\\y-\ Mya's \ destination \\\\ z-\ Sara's\ destination\\\\\
x+y+z=64\\
x=y\\
z-8=2x\\\\
x+x+z=64\\
z=2x+8\\\\
2x+2x+8=64\\\\
4x+8=64\\\\
4x=64-8\\\\
4x=56\ \ |:4\\\\x=14\\\\z=2x+8=2*14+8=28+8=36\\\\ Sara\ ran\ 36\ miles.
5 0
3 years ago
Use rounding to estimate the difference of 18.14 - 9.88.<br><br> A. 6<br> B. 9<br> C. 7<br> D. 8
Anna35 [415]

Answer:


D. 8 is the answer


7 0
2 years ago
Read 2 more answers
Which of the following is 38/6 converted to a mixed number
Monica [59]
6 goes into 38 6 times (6 * 6 = 36). We can bring out a whole number of 6 into our mixed number. Now, we have 2/6 left over. That can be reduced to 1/3. Your mixed number is 6\frac{1}{3}
7 0
3 years ago
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s,
shusha [124]

Answer:

-0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

Step-by-step explanation:

Let

x= distance between the wall and ladder

Ф = angle between the ladder and ground

The rate of change is: dx/dt = 0.8 ft/s

We need to find dФ/dt when x = 8 ft/s

From the triangle in the figure we see that:

cos Ф = x/10

=> x = 10 cosФ

Now, the rate of change will be

d(x)/dt = d/dt (10cosФ)

dx/dt = -10 sin Ф dФ/dt

dx/dt = 0.8 (given)

to find dФ/dt

we need to find sin Ф when x = 8

By Pythagoras theorem

(hypotenuse)^2 = (Perpendicular)^2+(base)^2

(10)^2 = (8)^2+ (Perpendicular)^2

100 = 64 +  (Perpendicular)^2

=>  (Perpendicular)^2 = 100-64

(Perpendicular)^2 = 36

Perpendicular = 6

sin Ф = Perpendicular/hypotenuse

sin Ф = 6/10 = 3/5

Putting values in:

dx/dt = -10 sin Ф dФ/dt

0.8 = -10(3/5) dФ/dt

0.8 = -6 dФ/dt

=> dФ/dt = 0.8 / -6

dФ/dt = - 0.133 radians/s

So, -0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

3 0
3 years ago
Please explain the steps to this problem
crimeas [40]
Make the denominators the same number. Then do the problem as you would regularly without fractions
5 0
3 years ago
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