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LenKa [72]
3 years ago
9

M3D5

Mathematics
1 answer:
stich3 [128]3 years ago
3 0
The third one is the answer
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Simplify and express in exponential form: 8^-1 * 3^3/ 2^-4 * 9^-2
Yuri [45]

Answer:

2^1* 3^7

Step-by-step explanation:

8^-1 * 3^3/ 2^-4 * 9^-2

Negative exponents move from the numerator to the denominator or from the denominator to the numerator

2^4*9^2* 3^3 /8^1  

Rewriting 9^2 as 3^2^2 = 3^4  and 8 = 2^3

2^4 * 3^3 * 3^4 / 2^3

2^4/ 2^3 = 2   and 3^3 * 3^4 = 3^(3+4) = 3^7

2* 3^7

5 0
3 years ago
Read 2 more answers
4(a+2)=14-2(3-2a)
mylen [45]

Answer:

All real numbers

Step-by-step explanation:

There is 3 possible solutions to a linear equation:

  • One solution -a unique x value that makes the equation true
  • No solution - a false statement is given after solving without a value for x
  • Infinite solution - a true statement is given after solving without a value for x

Solve using inverse operations:

4(a+2)=14-2(3-2a)

4a+8=14-6+4a

4a-4a+8=8+4a-4a

8=8

Is 8=8? Yes. Therefore this is a true statement with no value for x. Infinite solutions or all real numbers.


6 0
3 years ago
Look at picture. What is the solution WORTH 10 points. Show work.
lakkis [162]

\left\{\begin{array}{ccc}2x-y=6\\2x-2y=4&|\text{add 2y to both sides}\end{array}\right\\\left\{\begin{array}{ccc}2x-y=6\\2x=4+2y&|\text{divide both sides by 2}\end{array}\right\\\left\{\begin{array}{ccc}2x-y=6\\x=2+y\end{array}\right\\\\\text{Substitute x=2+y to the first equation}\\\\2(2+y)-y=6\ \ \ \ |\text{use distributive property}\\(2)(2)+(2)(y)-y=6\\4+2y-y=6\\4+y=6\ \ \ \ \ |\text{subtract 4 from both sides}\\\boxed{y=2}\\\\\text{Put the value of y to the second equation}\\\\x=2+2\\\boxed{x=4}

Answer:\ D.\ (4,\ 2)

8 0
3 years ago
Read 2 more answers
On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,28
Karolina [17]
A. How many kilowatt hours of electricity did the Smiths use during February?

Kilowatt hours of electricity the Smiths used during February:
Meter read on March 1 - meter read on February 1 =
20,288 kilowatt hours - 19,423 kilowatt hours =
865 kilowatt hours
Answer: The Smiths used 865 kilowatt hours of electricity during February

b. How many kilowatt hours did they use during March?

Kilowatt hours of electricity the Smiths used during March:
Meter read on April 1 - meter read on March 1 =
21,163 kilowatt hours - 20,288 kilowatt hours =
875 kilowatt hours
Answer: The Smiths used 875 kilowatt hours of electricity during March
8 0
3 years ago
Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her
DanielleElmas [232]

Answer:

$432.18

Step-by-step explanation:

Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour

Double time = 2*6.86 = $13.72 per hour

Rest of the time => At regular rate

Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)

                       = 10(10.29) + 4(13.72) + (40)(6.86)

                       = $ 432.18

6 0
3 years ago
Read 2 more answers
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