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Mrac [35]
4 years ago
7

Rewrite the equation below so that it does not have fractions.

Mathematics
1 answer:
Ray Of Light [21]4 years ago
8 0

Answer:

x=17/14

Step-by-step explanation:

(7/9)x+2=(5/6)

18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.

7           18              126

----   *    ------   =     --------    =     14

9            1                9

14x+2=(5/6)

5            18             90

----     *   ------    =   ---------     =     15

6             1                6

14x+2=15

<u>      +2 +2</u>

14x=17

x=17/14

Hope this helps!

You might be interested in
Como seria una ecuacion de (2,3) si la pendiente es -2​
xxTIMURxx [149]

Answer:

Hola, antes de dar la respuesta quisiera recomendarte una app llamada m a t h w a y (sin espacios) esto te va a ayudar con preguntas sobre matematica y super rapido.

Step-by-step explanation:

(2,3) pendiente de -2

                                           1. Usa la fórmula de la ecuación de la recta para

                                              hallar b

y = mx + b

                                          2.  Substituye el valor de m, x y "y" en la ecuacion

3 = (-2) · (2) +b                      

                                           3. Calcula para hallar el valor de b

b = 7

                                          4. Ahora con el valor de b, calcule de nuevo

y = mx + b

3 = -2x +7

Espero esto haya ayudado en algo, sino puedes intentar buscando en el sitio que recomende.      

3 0
3 years ago
The company states that 90% of the light bulbs have a lifetime of at least k hours. Find the value of k. Give your answer correc
docker41 [41]

Answer:

a) Mean = 5800 hours

b) P(5000 ≤ L ≤ 6000) = 0.420

c) k = 4700 hours

Step-by-step explanation:

The full correct question is attached to this solution.

From the graph of the distribution of lifetime of bulbs presented, it is evident that this is a normal distribution.

(a) Write down the mean lifetime of the light bulbs.

From the normal distribution graph, the mean is at the very centre of the graph

Mean = μ = 5800 hours

(b) The standard deviation of the lifetime of the light bulbs is 850 hours.

Find the probability that 5000 ≤ L ≤ 6000, for a randomly chosen light bulb.

Mean = μ = 5800 hours

Standard deviation = σ = 850 hours.

The required probability = P(5000 ≤ L ≤ 6000)

To find this, we first normalize/standardize 5000 and 6000.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

For 5000

z = (L- μ)/σ = (5000 - 5800)/850 = -0.941

For 6000

z = (L- μ)/σ = (6000 - 5800)/850 = 0.235

The required probability

P(5000 ≤ L ≤ 6000) = P(-0.941 ≤ z ≤ 0.235)

We'll use data from the normal probability table for these probabilities

P(5000 ≤ L ≤ 6000) = P(-0.941 ≤ z ≤ 0.235)

= P(z ≤ 0.235) - P(z ≤ -0.941)

= 0.593 - 0.173 = 0.420

c) The company states that 90% of the light bulbs have a lifetime of at least k hours. Find the value of k. Give your answer correct to the nearest hundred.

P(L ≥ k) = 90% = 0.9

assuming that the z-score of k is z'

P(L ≥ k) = P(z ≥ z') = 0.90

P(z ≥ z') = 1 - P(z < z') = 0.9

P(z < z') = 0.1

Using the normal distribution table

z' = -1.282

z' = (k - μ)/σ

-1.282 = (k - 5800)/850

k = (-1.282 × 850) + 5800 = 4710.3 = 4700 hours to the nearest hundred.

Hope this Helps!!!

5 0
3 years ago
18. *
frozen [14]

Answer:

More than 10% of Gillway students earned honors.

Step-by-step explanation:

<u>Step 1: Find the number of students who earned honors</u>

43 + 17 = 60

<u>Step 2: Find the total number of students</u>

381 + 108 = 489

<u>Step 3: Find the percentage of students who earned honors</u>

Students who earned honors/Total students x 100

60/489 x 100

12.27%

<u>Step 4: Find the correct answer</u>

Just under 11% of Gillway students earned  honors.

<em>This is incorrect since the percentage is more than 11%.</em>

Just over 11% of Gillway students earned honors.

<em>This is incorrect as just over 11% would mean somewhere between 11 and 12% whereas the actual percentage is just over 12%.</em>

More than 10% of Gillway students earned honors.

<u><em>This is correct as compared to all other statements since 12.27% is more than 10%.</em></u>

Almost 11% of Gillway students earned  honors.

<em>This is incorrect since almost 11% means less than 11% whereas the actual percentage is more than 11%.</em>

!!

7 0
3 years ago
A mine produces ore that is about 0.6% nickel. About how much ore from this mine would you need to get 3,000 kg of nickel?
Lelechka [254]
The correct answer is 5000
8 0
2 years ago
If you have 2/3 of butter but you need 4/6 how much more butter do you need
dmitriy555 [2]

Answer:

You do not need any more butter because when you divide 4/6 by 2 it gives 2/3

6 0
3 years ago
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