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Lerok [7]
3 years ago
15

What is the value of x in the equation (5^x)^5=5^35

Mathematics
1 answer:
Arada [10]3 years ago
6 0

\bf (5^x)^5=5^{35}\implies 5^{x\cdot 5}=5^{35}\impliedby \begin{array}{llll} \textit{same bases}\\ \textit{same exponents} \end{array}\implies 5x = 35 \\\\\\ x = \cfrac{35}{5}\implies x=7

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A piece of rope is 54 inches long. It is cut into pieces that are each 9 inches long.
bogdanovich [222]

Answer:

6 pieces of rope

Step-by-step explanation:

if the total is 54 and each are 9 you can make an equation

54= 9 x a

solve for a

to do this you divide 54 by 9

54/9=6

4 0
2 years ago
Read 2 more answers
HELP ASAP PLEASE
dimaraw [331]

Answer:

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate

10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two

cars?

Step-by-step explanation:

the answer is in the question

7 0
2 years ago
Laura, David, and Carlos served a total of 115 orders Monday at the school cafeteria. David served 3 times as many orders as Car
Korvikt [17]

Answer:

Step-by-step explanation:    ts  6  11    19    56

Laura, David, and Carlos served a total of 115 orders

David served 3 times as many orders as Carlos.                 David = 3x

Laura served 10 more orders than Carlos.                      let Carlos = x

How many orders did they each serve?                           Laura  =  x + 10

     Carlos  +  David  +  Laura  = 115

          x  +     3x    +    x+10       = 115

                        5x + 10     =  115

                               5x   =  115 - 10

                               5x   =  105

                                x   =   21    Carlos

                                          63   Davide

                                          31    Laura

                 add then up    115  Total

4 0
3 years ago
A school wants to buy a chalkboard that measures 4 feet by 6 feet. The chalkboard costs $10.00 per square foot. How much will th
Harlamova29_29 [7]

Answer:

$27.87

Step-by-step explanation:

if it is 1 by 2 you would multiply 1 x 2 and get 2 then multiply 13.87 x 2 to get 27.87 and it leaves you with $27.87

7 0
2 years ago
Read 2 more answers
PLEASE HELP ME FAST! Thank you!!
likoan [24]
X=26

This is because KM is equal to 104 and 104 divided by 4 (due to there being 3x and x)is equal to 26 and if you do 104 + 256 you will get 360
6 0
2 years ago
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