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2 years ago

Need help finding x

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

3 0

Answer:

Step-by-step explanation:

$\frac{6}{x - 1} = \frac{4}{x + 2}$

$6x + 12 = 4x - 4$

$6x - 4x = - 12 - 4$

$2x = - 16$

$x = - 8$

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Dovator [93]

Answer:

the second one

Step-by-step explanation:

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2 years ago

!!!PLEASE HELP ME !!! AND INCLUDE AN EXPLANATION

Ede4ka [16]

Since you have the 42-deg angle and the length of the opposite side, 31, you can use the Law of Sines.

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

We will use the law of sines first to find x.

Once we know x, we can find the angle opposite y.

Then we can find y.

$\dfrac{31}{\sin 42^\circ} = \dfrac{37}{\sin x}$

$\sin x = \dfrac{37\sin 42^\circ}{31}$

$\sin x = 0.798639$

$x = \sin^{-1} 0.798639 = 53^\circ$

Let z = the angle opposite y.

z + 42 + 53 = 180

z = 85

$\dfrac{31}{\sin 42^\circ} = \dfrac{y}{\sin 85^\circ}$

$y = \dfrac{31 \sin 85^\circ}{\sin 42^\circ}$

$y = 46.2$

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2 years ago

Nia works at a gas station and earns $15.50 per hour last week , she worked 29 hours .What was her gross pay?

fomenos

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate= $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

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Hence the total amount she earned is $449.5

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3 years ago

Sunshine High School claims that 72% of its students complete their homework on a daily basis. Ms. Carter surveyed 80 students a

zimovet [89]

Answer:

Option A)

z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 80

p = 72% = 0.72

$\hat{p} = 60\5 = 0.60$

Formula for z-statistic:

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.60-0.72}{\sqrt{\frac{0.72(1-0.72)}{80}}}\\\\z =\displaystyle\frac{0.60-0.72}{\sqrt{\frac{0.72(0.28)}{80}}} = -2.39$

This, the correct answer is

Option A)

z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80

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3 years ago

50 POINTS TIMED!! Which of the following shows the graph of y = 4x + 3? On a coordinate plane, an exponential function starts at

RoseWind [281]

Answer:

1st Graph

Step-by-step explanation:

Parent Graph of Exponentials: f(x) = a(b)^x + d

Since we are only modifying the base exponent and <em>d</em> (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.

Alternatively, we could graph the equation and choose the best fit:

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2 years ago

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