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3 years ago

Solve for the variable -14 = x -7 -12x = 60 x+11 = -11 - x/4 = 2

Mathematics

2 answers:

Maurinko [17]3 years ago

6 0

1) x= -7
2) x= -5
3) x=-22
4) x =8
Not sure about the last one tho
I tried to help :)

Eduardwww [97]3 years ago

5 0

Answer:

x = -7

x = -5

x = -22

x = -8

Step-by-step explanation:

-14 = x - 7 (add 7 on both sides)

-7 = x

-12x = 60 (divide by -12 on both sides)

x = -5

x + 11 = -11 (subtract 11 on both sides)

x = -22

-x/4 = 2 (multiply both sides by 4)

-x = 8 (divide by negative)

x = -8

Hope this helps!!

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g100num [7]

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3 years ago

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The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?

stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0

3 years ago

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

$d*sin(\theta) = m\lambda$

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle

At the first-order maximum (m=1) at 20.0 degrees we have:

$\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342$

Now, to produce a second-order maximum (m=2) the angle must be:

$sin(\theta) = \frac{\lambda}{d}*m$

$\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}$

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.

I hope it helps you!

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3 years ago

PLZ HELP IVE BEEN STUCK ON THIS QUESTION

o-na [289]

Answer:

A= 16

B=?

Step-by-step explanation: srry about the second one im also confused but i tried my best.

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3 years ago

Name two characteristics of a pair of parallel lines.

valentina_108 [34]

Answer:

they never meets...

they points the same direction

Step-by-step explanation:

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3 years ago