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Harlamova29_29 [7]
2 years ago
12

If 25^x+1 = 125/5^x find the value of x

Mathematics
1 answer:
storchak [24]2 years ago
8 0
  • Answer:

<em>x =1/3</em>

  • Step-by-step explanation:

<em>25ˣ⁺¹ = 125/5ˣ</em>

<em>5²⁽ˣ⁺¹⁾ = 5³/5ˣ</em>

<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>

<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>

<em>2(x + 1) = 3 - x</em>

<em>2x + 2 = 3 - x</em>

<em>2x + x = 3 - 2</em>

<em>3x = 1</em>

<em>x = 1/3</em>

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(b) 3m - 2n=19<br> 5m + 7n=11​
Korvikt [17]

3m-2n=19

5m+7n=11

21m-14n=133

10m+14n=22

Now add equations

31m=155

m=5

Now let's find n

3×5-2n=19

-2n=4

n=-2

Answer: (5; -2)

6 0
2 years ago
Tim and Jim are working on a school project together. If he had to work by himself, it would take
Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, \dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}

\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6

So, it will take<u> 6 hours</u> to complete the school project together .

4 0
2 years ago
Cora is playing a game that involves flipping three coins at once. Let the random variable HHH be the number of coins that land
arlik [135]

Answer:

0.875

Step-by-step explanation:

P(H=0) = 0.125

P(H=1) = 0.375

P(H=2) = 0.375

P(H=3) = 0.125

P(H<3) = P(H=0) + P(H=1) + P(H=2)

P(H<3) = 0.125 + 0.375 + 0.375

P(H<3) = 0.875

4 0
2 years ago
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A credit card company applies a 6% fee on all transactions under $10. You purchased coffee for $4.80. What fee amount will be ap
aliina [53]

Answer:

$0.29 will be added to your bill with an overall cost of $33.80 (not including taxes).

Step-by-step explanation:

6 0
2 years ago
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The diameter of Circle Q terminates on the circumference of the circle at (0,3) and (0,-4). Write the equation of the circle in
Gnesinka [82]
First, determine the center of the circle by getting the midpoint of the points given for the circumference.
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                          midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center. 
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The equation for the circle would be,
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8 0
2 years ago
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