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Elina [12.6K]
2 years ago
8

9^2(x-1) = 27^x how do I solve this equation?

Mathematics
1 answer:
serg [7]2 years ago
5 0
Answer: x = 2

Explanation: 9^2x-1 = 3^2 • (2x - 1) = 3^4x-2

27x = 3^3x

Upon equating: 3^4x-2 =3^3x

Since the base is equal , we can equate the powers:

4x - 2 = 3x
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The set of whole numbers includes ______ and all positive integers
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<span>The set of whole numbers includes zero, all negative integers, and all positive integers. Be sure to exclude any decimals, fractions etc. Good luck~ c:</span>
7 0
3 years ago
Beth poured the same amount of juice into 10 glasses.She used 2 quarts of juice.How much juice is in each glass
agasfer [191]
6.4 ounces. 

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7 0
3 years ago
1. Elena bought 8 tokens for $4.40. At this rate:<br>a. What is the price of one token?​
Genrish500 [490]

Answer:  $0.55

Step-by-step explanation: you would divide 4.40 by 8 to get the answer which is 0.55

Hope this helps :)

3 0
3 years ago
Read 2 more answers
There were 100 pizzas sold at Romeo's Pizzeria on Tuesday. A large pizza costs $16 and a small pizza costs $11. If $1,550 worth
Blizzard [7]

Answer:

  • 10 small pizzas sold

Step-by-step explanation:

Let number of large pizzas be l and number of small be s.

<u>Then we have equations:</u>

  • l + s = 100
  • 16l + 11s = 1550

<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>

  • 16(100 - s) + 11s = 1550
  • 1600 - 16s + 11s = 1550
  • 5s = 1600 - 1550
  • 5s = 50
  • s = 10

Number of small pizzas is 10

7 0
3 years ago
Can someone help me with this problem please? Thank you!
Olenka [21]

Answer:

50

Step-by-step explanation:

since the Pythagorean theorem is

c= √a^2+b^2

b is the bottom line (48)

a is the right line (14)

c is the top line (c)

plug that in

c = √14^2 + 48^2

then do the exponets

14^2 = 14 * 14 = 196

48^2 = 48 * 48 = 2304

then add them together

196 + 2304 = 2500

c = √2500

the sqrt of 2500 is 50 (50 * 50 = 2500)

c = 50

your answer is 50

hope this helps:)

6 0
2 years ago
Read 2 more answers
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