help with khan academy problem, law of sines

Step-by-step explanation:

Given that,

x=4y - 12 ....(1)

And

-2y= x- 6 ....(2)

Put equation (1) in equation (2). So,

-2y= (4y - 12)- 6

-2y = 4y - 12 -6

-2y-4y = -12-6

-6y = -18

y = 3

So, substituting x=4y - 12 into the equation -2y= x- 6 will produce y = 3.

Answer:

c

Step-by-step explanation:

Answer:

(B) The equation of line is 5 X = 2 Y.

Step-by-step explanation:

2 ounces of pineapple juice

5 ounces of fruit punch

Other is 4 ounces pineapple juice and 10 ounces fruit punch

(A) Graph is shown below:

(B) Let X is the pineapple juice and Y is the fruit punch

(2, 5)  and (4, 10)

So, the equation of line is

[tex]Y - 5 = \frac{10-5}{4-2}\times (x -2)\\\\Y-5=2.5 (X-2)\\\\Y - 5 = 2.5 X - 5 \\\\2.5 X = Y\\\\ 5 X = 2 Y[/tex]

Answer:

30 experimental outcomes exist for the entire experiment.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Three outcomes possible for the first step.

Two for the second step.

Five for the third step.

How many experimental outcomes exist for the entire experiment?

Steps are independent, so, by the fundamental counting principle:

3*2*5 = 6*5 = 30

30 experimental outcomes exist for the entire experiment.

Answer:

-2

Step-by-step explanation:

To find the mean, add all of the values together. With that sum, divide it by the amount of addends/values. In this case 3.

-8 + -1 + 3 = -6

-6/3= -2

hope this helps :D

Answer:

The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.

Answer:  1. x=18

2. x=21

Step-by-step explanation:

1.Q 114=7x-12

7x=126

x=18

2.Q 4x-2=3x+19

4x-3x=19+2

x=21

Answer:

Step-by-step explanation:

if im right but i think

7x-12=144 opposite sides are congruent

7x/7=156/7

X= 22.285

Answer:

100 cents

I think

Answer: 1.05

Step-by-step explanation:

Let x be the envelope

    y is stamp (1)

==> x+y= 1.10 ($)

the stamps costs $1 more than the envelope, so

x-y=1 --> x=y+1, instead of wards (1), we get

y+1+y= 1.10 -> 2y+1=1.10

                    ->y= 0.05 -> x= 1.05

Answer:

6 regular coffees. Thank it if its helpful, thank you!

Step-by-step explanation:

75% of 8 is 6

Reasoning:

75/100*8/1=600/100

600/100=6!

Answer:

Regular coffee served by cafe = 75%* 8

                                                   = 75/100*8 =  6 coffees

Step-by-step explanation:

that is the equation

Answer:

5

Step-by-step explanation:

Answer:

Distance cover by train = 112.5 km

Step-by-step explanation:

Given;

Speed of train = 75 km/h

Time started = 15:43 min

Time ended = 17:13 min

Find:

Distance cover by train

Computation:

Time started = 15:43 min = 15.716 hour

Time ended = 17:13 min = 17.216 hour

Total time taken = 17.216 - 15.716

Total time taken = 1.5 hour

Distance cover by train = Total time taken x Speed of train

Distance cover by train = 75 x 1.5

Distance cover by train = 112.5 km

Answer:

B. HL

Step-by-step explanation:

Answer:

Probability that she buys fruit or buys a CD or both. = 0.52

Step-by-step explanation:

Probability that she buys fruit  = 0.4

Probability that she Does not buys fruit  = 1 - 0.4  =  0.6

Probability that she buys CD  = 0.2

Probability that she does not buys CD  = 1 - 0.2 = 0.8

Probability that she buys fruit or buys a CD or both.  = 1 - Probability that she does not but either

= 1 - (0.6)(0.8)

= 1  -  0.48

=  0.52

Or Probability that she buys both = (0.4)(0.2) = 0.08

Probability that she buys fruit or buys a CD or both. = 0.4 + 0.2 -  0.08

=  0.52

Probability that she buys fruit or buys a CD or both. = 0.52

[tex] - \frac{1}{5} \times - 2 \frac{1}{4} \\ - \frac{1}{5} \times ( - 2) \times \frac{1}{4} \\ \frac{1}{5} \times 2 \times \frac{1}{4} \\ \frac{1}{5} \times \frac{1}{2} \\ \\ answer = \frac{1}{10} \\ [/tex]

Alternate Forms:

Hope it helps

Answer:

-1/5(-2 1/4)=

Step-by-step explanation:

-1/5(-2 1/4)=1/5(2 1/4)

=1/5(9/4)

=9/20 , 0.45

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]

[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]

[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

0,83

Step-by-step explanation:

tan(40)=0,83

0.8390996312tep-by-step explanation:

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

Answer:

B

Step-by-step explanation:

Which choice is equivalent to the product below for acceptable values of x?

√x+3. fx-3

The answer is "B"

Answer and Step-by-step explanation:

To solve the inequality, we have to get k by itself.

Add 3 to both sides of the inequality.

k < 8 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

2000 milligrams

Step-by-step explanation:

You do conversion and it make sense.

Answer:

(fog) (x) = 8*(2x+1)=16x+8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

It will remain 5 because two negatives make a positive.

-(-5) = 5

Hope this helps.

Answer:

5 ( REMEMBER TWO NEGATIVES MAKE A POSITIVE)

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression 5

Answer:

3, 12, 48, 192, ...

3, 15, 75, 375, ...

2, 10, 50, 250, ...

Answer:

2 pipes

Step-by-step explanation:

So.. I'm not too sure either, but I'll try to solve it.

Equation: 4x=8 when x=number of pipes turned off after 12 hours

Since there were initially 8 pipes and there are 4 hours between 36 planned hours to fill the whole pool and 32 actual hours passed to fill the rest of the pool, you multiply them.

Answer:

[tex]x^3[/tex]

Step-by-step explanation:

Let the greatest common factor of [tex]a,b,c[/tex] such that [tex]a,b,c \in\mathbb{Z}[/tex] and they are not all equal to zero, [tex]d[/tex] is the common divisor of [tex]a[/tex] and [tex]b[/tex]. Therefore, [tex]d \mid a[/tex] and [tex]d \mid b[/tex]

You can write

[tex]D(a) = \{d \in\mathbb{Z} : d \mid a\}[/tex]

[tex]D(b) = \{d \in\mathbb{Z} : d \mid b\}[/tex]

The greatest common factor of [tex]a,b[/tex] is given as

[tex]D(a,b) = \{d \in\mathbb{Z} : d \mid a \text{ and } d \mid b\}[/tex]

and

[tex]D(a, b) = D(a) \cap D(b)[/tex]

This happens because [tex]D(a,b)[/tex] is upper bounded because if [tex]a\neq 0[/tex] then [tex]d \leq |a|[/tex]

for all [tex]d\in D(a, b)[/tex]. Therefore, the set [tex]D(a, b)[/tex] has the greatest elements.

Taking [tex]x^3, x^7, x^9[/tex] such that [tex]x>0[/tex]

You can note that [tex]x^7 = x^3 \cdot x^4[/tex] and [tex]x^9 = x^3 \cdot x^6 = x^3 \cdot x^3 \cdot x^3[/tex]

Therefore, the greatest common factor is [tex]x^3[/tex]

Note: [tex]x^3 \cap x^7 \cap x^9 = x^3[/tex]

Answer:

120 miles

Step-by-step explanation:

2 cm / 15 miles = 16 cm / x           Cross multiply

2x = 15 * 16

2x = 240                                       Divide by 2

2x/2 = 240/2

x = 120 miles

9514 1404 393

Answer:

  (f/g)(8) = -104/41

Step-by-step explanation:

Fill in the value for x and do the arithmetic.

  f(8) = 3 -2·8 = 3 -16 = -13

  g(8) = 1/8 +5 = (1+40)/8 = 41/8

Then the ratio is ...

  (f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41

  (f/g)(8) = -104/41