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Vinil7 [7]
3 years ago
13

If –3x+12 = 9x, then 5x=____

Mathematics
1 answer:
Viktor [21]3 years ago
6 0

Answer:

5x=5

Step-by-step explanation:

You add the -3x to the side with 9x

Then you get 12= 12x

Then simplify 1x=1 which means 5x=5

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A laser travels from glass to water at an angle of 35° with the normal, Θ1. If water has an index of refraction of 1.33 and glas
umka2103 [35]
When light moves from one medium to another, it is refracted. If it moves from a medium with refractive index n1 to one with refractive index n2, with an incidence angle to the surface normal of θ1, the refraction angle θ2 can be calculated from Snell's law.

The Snell's law states that the ratio of the sines of the angles of incidence and refraction of a wave (in this case beam/light) are constant when it passes between two given media.

n_1\sin\theta_1=n_2\sin\theta_2

Given that a <span>laser travels from glass to water at an angle of 35° with the normal, </span>\theta_1<span>. If water has an index of refraction of 1.33 and glass has an index of refraction of 1.52, then we have:

</span>1.52\sin35^o=1.33\sin\theta_2 \\  \\ \Rightarrow\sin\theta_2= \frac{1.52\sin35^o}{1.33} =0.6555\therefore\theta_2=\sin^{-1}0.6555\approx41^o<span>
</span>
7 0
3 years ago
One serving of trail mix has 67 grams of carbohydrates, which is 22% of the recommended daily amount. What is the total recommen
DaniilM [7]

For this case we propose a rule of three:

67 grams -----------> 22%

x grams --------------> 100%

Where:

The variable "x" represents the recommended amount of daily carbohydrates.

So, we have:

x = \frac {100 * 67} {22}\\x = 304.5455

Rounding we have the recommended amount, in grams, of carbohydrates: 305 grams

Answer:

305 grams

5 0
3 years ago
Read 2 more answers
One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio o
choli [55]

Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

4 b - 36 = 6 + g

4 b - g = 42 .... (2)

From ( 1 ) and ( 2 )

4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.  

7 0
3 years ago
Factor the expression completely. 1/4x + 19/4
puteri [66]

Answer: i think it is... x = -19

8 0
2 years ago
If f(x)= 3x + 1 what is is the value of x when f(x)= 15
astraxan [27]

Answer:

46

Step-by-step explanation:

8 0
2 years ago
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