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3 years ago

Arrange the steps in the correct order to solve the equation 3 (2^2t-5 )- 4=10

2 answers:

8 0

The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10

The steps are:

1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4

2) Combine like terms => 3 [2^ (2t - 5) ] = 14

3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3

4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)

5) Divide both sides by log (2) =>

                log (14/3)
2t - 5 = -------------------
                 log (2)

6) transpose - 5+>

                log (14/3)
2t = ------------------- + 5 = 2.22 + 5
                 log (2)

2t = 7.22

7) divide both sides by 2 => t = 7.22 / 2 = 3.61

viva [34]3 years ago

6 0

Answer:

1. Add 4 to each side of the equation:

2. Divide both sides of the equation by 3:

3.Take the log of each side:

4.Use the Exponential Property and write in decimal form:

5.Divide each side by log 2:

6.Find the value of and substitute:

7. Add 5 to each side of the equation:

8. Simplify:

Step-by-step explanation:

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Leila puts an integer into the "In" box of each machine.

kykrilka [37]

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

$\mathbf{y = 2(5x + 3) - 24}$

The equation represented on machine B is:

$\mathbf{y = 4(2(x + 11) - 7)}$

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

$\mathbf{y = y}$

So, we have:

$\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}$

Open brackets

$\mathbf{10x + 6 - 24 = 8x + 88 - 28}$

$\mathbf{10x - 18 = 8x + 60}$

Collect like terms

$\mathbf{10x - 8x = 18 + 60}$

$\mathbf{2x = 78 }$

Divide both sides by 2

$\mathbf{x = 39 }$

Substitute 39 for x in $\mathbf{y = 2(5x + 3) - 24}$

$\mathbf{y = 2 \times (5 \times 39 + 3) - 24}$

$\mathbf{y = 372}$

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

4 0

2 years ago

15 POINTS PLEASE HELP ASAP!!<br> (pls dont write random answers)

quester [9]

Answer:

its either d or a

Step-by-step explanation:

3 0

3 years ago

Spends a total of $38.75 on 5 drinks and 2 bags of popcorn. Noah spends a total of $37.25 on 3 drinks and 4 bags of popcorn. Wri

Ira Lisetskai [31]

Answer:

3d + 4p = $37.25

5d + 2p = $38.75

Actual Answer:

Bag of popcorn is $5

A drink is $5.75

Step-by-step explanation:

Let drinks = d

Let popcorn = p

Noah: 3d + 4p = $37.25

Other: 5d + 2p = $38.75

Choose a variable to eliminate (We'll choose p)

3d + 4p = $37.25

(5d + 2p = $38.75) -2

Distribute

-10d - 4p = -77.5

The -4p cancels out the 4p, then we combine

-7d = -40.25

Divide both sides by -7

-7d/-7 = -40.25/-7

d = 5.75

Back to 3d + 4p = $37.25

Substitute d with 5.75

3(5.75) + 4p = $37.25

17.25 + 4p = 37.25

Move the constant to the other side

17.25 + 4p = 37.25

-17.25 -17.25

4p = 20

Divide both sides by 4

4p/4 = 20/4

p = 5

5 0

2 years ago

Find the length of the missing side, x=

Paladinen [302]

${x}^{2} + {11.9}^{2} = {14.7}^{2} \\ x = \sqrt{ {14.7}^{2} - {11.9}^{2} } \\ x = \sqrt{74.48} \\ x = 8.6301796042...$

Answer: 9 or 8.6

I don't know, need I round to 8.6 or 9, so you can try both answers

8 0

3 years ago

Five to the fifth power minus seven to the second power.

Sedaia [141]

Answer:

5^5-7^2= 3076

Step-by-step explanation:

5^5=3125

5*5*5*5*5

7^2=49

3125-49=3076

Hope this helps! Remember you are smart and you got this! Have a great day -Alycia

4 0

3 years ago