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docker41 [41]
3 years ago
9

3/4 (2a − 6) + 1/2  = 2/5 (3a + 20) what is the value of a

Mathematics
2 answers:
Vanyuwa [196]3 years ago
8 0

Answer:

40

Step-by-step explanation:

grigory [225]3 years ago
5 0

Answer:

A= 40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3/4 (2a-6)+1/2=2/5(3a+20)

(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)

(distribute)

3/2a + -9/2 + 1/2 = 6/5a + 8

(3/2 a) + ( -9/2 + 1/2 ) = 6/5a + 8 (Combine like terms)

3/2a + -4 = 6/5a + 8

3/2a -4 = 6/5a+8

Step 2: Subtract 6/5a from both sides.

3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a

3/10 a - 4= 8

Step 3: Add 4 to both sides.

3/10a -4 +4 = 8 + 4

3/10 a = 12

Step 4: Multiply both sides by 10/3

(10/3) * (3/10a) = (10/3) * (12)

a = 40


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Help someone how do you solve this
Flauer [41]

Answer:

a = 10/3

Step-by-step explanation:

This can be written as:

x^{2} (x^{4})^{1/3}  = x^{a}

Anything to the power of 1/3 means to find the cube root. We can simplify this to:

x^{2} (x^{4/3}) = x^{a}

I just multiplied 4 and 1/3 (because of the second index law (a^{m})^{n}  = a^{mn}). Now, we can add the powers because the bases are the same and we are multiplying (first index law):

x^{10/3} = x^{a}

a = 10/3

Hope this helps!

5 0
2 years ago
If y = 0.15 when x = 1.5, what is y when x = 6.3?
Juliette [100K]
(6,3x0,15)/1,5 = 0,945/1,5 = 0,63

<span>I hope to have helped you ! :)</span>

7 0
3 years ago
Read 2 more answers
Order of Operations 4
dsp73

Answer:

1. 21

2. -4

3. 20

4. 1

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6. -6

Step-by-step explanation:

5 0
3 years ago
Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
3 years ago
A tennis player has won 24 out of 36 matches. His sponsor says that he must win 70% of his total number of matches to qualify fo
pashok25 [27]

Answer:

He must win 11 more matches to qualify for the bonus.

Step-by-step explanation:

24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.

If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.

Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...

35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.

Hope that helps!

5 0
2 years ago
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