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3 years ago

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

Mathematics

1 answer:

storchak [24]3 years ago

8 0

Answer:

x =1/3

Step-by-step explanation:

25ˣ⁺¹ = 125/5ˣ

5²⁽ˣ⁺¹⁾ = 5³/5ˣ

5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ

5²⁽ˣ⁺¹⁾ = 5³⁻ˣ

2(x + 1) = 3 - x

2x + 2 = 3 - x

2x + x = 3 - 2

3x = 1

x = 1/3

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A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is $75 plus $9 per day. The f

Lapatulllka [165]

Answer:

M = 2620 + 16d

M = total money paid or earned

d = # of days

Step-by-step explanation:

15 food

23 game

Total Money = M = 15 * 75 + 9 d + 23* 65 + 7d

M = 15 * 75 + 9 d + 23* 65 + 7d

M = 1125 + 1495 + 16d

M = 2620 + 16d

5 0

3 years ago

which is an algebraic equation that represent s the following word problem that shows how many bonus points , s, Samantha earned

Anna35 [415]

A = 15 a = athena, s = samantha, b = bonus points
s = b + a

s = b + 15

7 0

3 years ago

The measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth inte

givi [52]

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

7 0

2 years ago

HELP PLS! A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew

KatRina [158]

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = $\frac{opposite}{sdjacent}$

Tan 13 = $\frac{102}{x}$

x = $\frac{102}{Tan 13}$

= 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = $\frac{102}{y}$

y = $\frac{102}{Tan 22}$

= 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

= 189.3 feet

5 0

3 years ago

I’m giving the brainliest Which equation can you use to find the value of x

Katyanochek1 [597]

Answer:

3x=78+(x-2)

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles.

3x=78+(x-2)

4 0

3 years ago

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