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Morgarella [4.7K]
3 years ago
10

Which expression is equivalent to b^-2/ab^-5?a) a/b^5b)1/ab^5c)a^3b/1d)b/a

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0
\bf a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad
\cfrac{1}{a^{-n}}\implies a^{{ n}}\\\\
-------------------------------\\\\
\cfrac{b^{-2}}{ab^{-5}}\implies \cfrac{b^{-2}\cdot b^{+5}}{a}\implies \cfrac{b^{-2+5}}{a}\implies \cfrac{b^3}{a}
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Jill drives 75 1/3 miles every hour how many miles can Jill Drive in 8 and 3/4 hours
11Alexandr11 [23.1K]
First, multiply 75 by 8 to get 600. 
Then multiply 1/3 by 8 to get 8/3 or 2 2/3. 
Add those together to get 602 2/3. 

Next multiply 1/3 by 3/4 by multiplying the numerator by 3 and the denominator by 4. That is 3/12. Also known as 1/4. 
Multiply 75 by 3/4 by dividing it by 4 then multiplying it by 3. That is 56 1/4. 
Add 56 1/4 and 1/4 together to get 56 1/2. 

Lastly, add together 56 1/2 and 602 2/3.
Convert the fractions to sixths.
56 3/6 + 602 4/6 = 659 1/6 miles
Hope this helps! 
6 0
3 years ago
Evaluate y=x/7+15 when y=21
Ad libitum [116K]

Answer:

x = 42

Step-by-step explanation:

y = x/7 + 15 ; y = 21

21 = x/7 + 15

21 - 15 = x/7

6 = x/7

x = 6 × 7

x = 42

Thus, The answer is 42

<u>-TheUnknownScientist</u>

3 0
3 years ago
Read 2 more answers
Car is driving at 30 kilometers per hour. How far in meters does it travel in 3 seconds?
Alenkasestr [34]

Answer:

25 meters

Step-by-step explanation:

30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)

30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second

30 km/hr = 8.3333333333 m/s (approximate)

----------

The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,

distance = rate*time

d = r*t

d = 8.3333333333 * 3

d = 24.9999999999

Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.

4 0
3 years ago
Two consecutive integers are such that 3 times the larger exceeds twice the smaller by 34. find the integers.
julsineya [31]

x - a smaller number

(x+1) - a larger number

3(x+1) - 2x = 34

3x + 3 - 2x = 34

x= 31

(x+1) = 32

7 0
2 years ago
Read 2 more answers
Evaluate the numerical expression8×{[(7+4)×2]-[(11-7)×4]}
alina1380 [7]

Answer:

We have:

7 + 4 = 11;

11 - 7 = 4;

11 x 2 = 22;

4 x 4 = 16;

22 - 16 = 6;

Finally, 8 x 6 = 48;

Step-by-step explanation:


3 0
3 years ago
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