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snow_lady [41]
3 years ago
15

For what value of x does 3 Superscript 2 x Baseline = 9 Superscript 3 x minus 4?

Mathematics
2 answers:
Natalka [10]3 years ago
8 0
Answer: B
Hope this helps
Gala2k [10]3 years ago
5 0

Answer:

b. 2

Step-by-step explanation:

3^{2X} = 9^{3X - 4}  ------------------------------------(1)

To solve the equation above, we will follow the steps below;

9 = 3²

Will replace 9 = 3² in equation (1)

3^{2X} = (3^{2}) ^{3X - 4}

open the bracket

3^{2X} = 3^{6x - 8}  

The 3 on the left-hand side will cancel-out the 3 on the right-hand side of the equation. Thus our equation becomes;

2x = 6x - 8

subtract 6x from both-side of the equation

2x - 6x = -8

-4x = -8

Divide both-side of the equation by -4

\frac{-4X}{-4}  = \frac{-8}{-4}

(On the left-hand side of the equation, -4 will cancel-out -4 while on the right-hand side of the equation -8 will be divided by -4)

x = 2

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Answer:

Step-by-step explanation:

2. 9a +4c=43

a+c=7

The total tickets for adults and children = 7 (a+c =7)       7 people in all

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3 0
3 years ago
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What
Anna35 [415]

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

3 0
3 years ago
Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is
Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

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6 0
3 years ago
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8_murik_8 [283]
The answer should be D because everything else is true.
6 0
2 years ago
for this job , Hayden earns an hourly rate of $30. For each hour he works over 40 hours, he earns 1.5 times his regular hourly r
Dominik [7]
Hayden's hourly rate is $30
Extra hour rate is 1.5×30=$45
given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;
let the number of overtime be x
hence total amount earned will be:
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solving for x we get
x=975/45
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6 0
3 years ago
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