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uysha [10]
3 years ago
6

The solution set of 2-3x/4-8=3x/4​

Mathematics
2 answers:
deff fn [24]3 years ago
6 0

Step-by-step explanation:

\\ \tt{:}\leadsto  \frac{2 - 3x}{4 - 8} =  \frac{3x}{4}   \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\  \tt{:}\leadsto 8 - 2x =   - 12x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ \\ \tt{:}\leadsto 8 =  - 12x + 2x \\ \\ \tt{:}\leadsto 8 =  - 10x \\ \\ \tt{:}\leadsto x =  \frac{ - 10}{8}  \\ \\ \tt{:}\leadsto x =  \frac{ - 5}{4}

abruzzese [7]3 years ago
3 0

Answer:

x=-1

Step-by-step explanation:

2-3x/4-8=3x/4

bring all variables to one sides and the non variable to the other

-3x/4-3x/4=-2+8

Simplify

-3x/2=6

Bring 2 to the other side

-3x= 6/2

-3x=3

Bring -3 to the other side

x=3/-3

x=-1

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How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2?
denis-greek [22]

Answer:

the answer is C

Step-by-step explanation:

if you do 5+10+7+2 you get 24 divide by 4 you get 6 mean is 6 for set 1

Set 2 if you do 5+10+7+42 you get 64 divide by 4 and you get 16 16-10.5 you get so 5.5 set is less than set 2 there ya go dude

5 0
3 years ago
Read 2 more answers
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased b
Murrr4er [49]

Answer:

Step-by-step explanation:

buenas tardes .....

solucion

Volumen de un cilindro: es igual al área de la tapa por la altura del mismo

A = πD² * h / 4

Lata grande y lata pequeña

Para la lata grande, el diámetro y la altura han aumentado un 20%.

Lata pequeña:

d = 4 cm

h = 3 cm

A 1 = π * (4) ² * 3/4

A1 = 37,70 cm²

Lata grande:

d = 4 * 1,2 = 4,8 cm

h = 3 * 1,2 = 3,6 cm

A2 = π (4,8) ²3,6 / 4

A2 = 65,14 cm²

Si 37,7 representa el 100%

  65,14 representación x

x = 170%

El incremento del volumen es de un 70%

6 0
3 years ago
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
3 years ago
One cubic foot holds 7.48 gallons of​ water, and one gallon of water weighs 8.33 pounds. how much does 7.2 cubic feet weigh in​
mixas84 [53]
Your answer is 23.01 in ounces
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Tracis Bank charges $2 for withdrawals at nonbank ATMs and a fee of $2.50 per month for debit card. last month she paid $10.50 i
anastassius [24]

Answer:

5 withdrawals

Step-by-step explanation:

Since $10.50 ends in $0.50, you know that she must have made at least one $2.50 transaction.

10.50 - 2.50 = 8

8/2 = 4 (she made four $2 transactions)

She made 4 $2 transactions and 1 $2.50 transaction.

4 + 1 = 5

She made 5 transactions total.

5 0
3 years ago
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