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3 years ago

How do I solve -1/3y-6=-11

Mathematics

2 answers:

gtnhenbr [62]3 years ago

3 0

Answer:

Step-by-step explanation:

-1/3y - 6 = -11

-1/3y - 6 + 6 = -11 + 6

-1/3y = -5

-1/3y * 3y = -5 * 3y

-1 = -15y

-1 / -15 = -15y / -15y

y = 1/15

Oxana [17]3 years ago

3 0

For this case we must solve the following equation:

$- \frac {1} {3}y-6 = -11$

We add 6 to both sides of the equation:

$- \frac {1} {3} y = -11 + 6\\- \frac {1} {3} y = -5$

We multiply by 3 on both sides of the equation:

$-y = 3 * (- 5)\\-y = -15$

Finally we have:

$y = 15$

Answer:

$y = 15$

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An airline has 82% of its flights depart on schedule. It has 65% of its flight depart and arrive on schedule. Find the probabili

victus00 [196]

Answer:

0.79

Step-by-step explanation:

Here,

Let X be the event that the flights depart on time

Let Y be the event that flights arrive on time

So,

X∩Y will denote the event that the flights departing on time also arrive on time.

Let P be the probability

P(X∩Y)=0.65

And

P(X)=0.82

We have to find P((Y│X)

We know that

P((Y│X)=P(X∩Y)/P(X) )

=0.65/0.82

=0.79

So the probability that a flight that departs on schedule also arrives on schedule is: 0.79

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2 years ago

Which term BEST describes the following statement?

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2 years ago

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What 3 dimensions must be measured and multiplied together to find the volume of a box? Volume = _____ X _____ X _____

lidiya [134]

Answer:

lengthXwidthXhight

Step-by-step explanation:

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3 years ago

What value for C will make the expression a perfect square trinomial x2-7x+c

Tom [10]

Answer:

The value of c is 12.25

Step-by-step explanation:

we know that

A perfect square trinomial is of the form

$(x-a)^{2}=x^{2}-2ax+a^{2}$

In this problem we have

$x^{2}-7x+c$

equate the equations

$x^{2}-7x+c=x^{2}-2ax+a^{2}$

we have

the following equations

$-7x=-2ax$ -----> equation A

and

$c=a^{2}$ -----> equation B

Solve the equation A

$-7x=-2ax$

$7=2a$

$a=3.5$

Solve the equation B

$c=a^{2}$

$c=3.5^{2}=12.25$

therefore

$(x-3.5)^{2}=x^{2}-7x+12.25$

The value of c is 12.25

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2 years ago

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Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

2 years ago