Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.

The number, 19/7, is B. a rational number

Rational numbers are numbers that can be written as a fraction.

In this case, 19/7 is already a fraction

~Rise Above the Ordinary

Final answer:

The percent of decrease for the magazine's subscription is 20%.

Explanation:

To find the percent of decrease for the magazine's subscription, we need to calculate the difference between the original price and the new price, and then divide it by the original price.

The decrease in price is $66 - $52.80 = $13.20.

The percent of decrease is ($13.20 / $66) * 100% = 20%.

First, let's count:

there are 26 possible outcomes for E1 (black card)

there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)

there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)

the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):

P(E1 and E2) = 18/52 (34.6%)

And as asked:

P(E1) = 26/52 = 1/2 (50%)

P(E2) = 36/52 = 9/13 (69.2%)

[tex]n (S) = 5\\ n (E_1) = 2 x 13 = 26\\P (E_1) \frac{n (E_1)}{n (S)} = \frac {26}{52} = \frac{1}{2} \\\\ n (E_2) 4 x 9 = 36\\P (E_2)\frac{n (E_2)}{n (S)}=\frac{36}{52}= \frac{9}{13}[/tex]

EDMENTUM / PLATO ANSWER!!!!!!!!

CAN JUST WRITE:

[tex]P (E_1) \frac{n (E_1)}{n (S)} = \frac {26}{52} = \frac{1}{2}[/tex] =  (50%)

[tex]P (E_2)\frac{n (E_2)}{n (S)}=\frac{36}{52}= \frac{9}{13}[/tex] =  (69.2%) :)))))

Try this option:

rule: if to make a dividing by negative number (<0), the inequatlity sign must be changed to opposite.

According the rule described above, the correct answer is

'When dividing by -5, he did not change the ≤ to ≥'.

When dividing by - 5 he did not change ≤ to ≥

His calculations are correct down to the line - 5x ≤ 9

When dividing or multiplying by a negative quantity the inequality symbol must be reversed, thus

- 5x ≤ 9 ( divide both sides by - 5 )

x ≥ 9 ← inequality symbol reversed

1 | 1 - 2 - 5 6

    1 - 1 - 6 0

quotient = x² - x - 6 = (x - 3 )( x + 2 )

Look for the adjacent letters A.F or F.A in the names of the pair of angles.

The appropriate choice is ...

... BAF and FAD

Answer:

BAF and FAD

Step-by-step explanation:

In order for an angle to have A.F as a side, it must have the letters A.F or FA in its name.

In DAF, the angle is made of rays AD and A.F.  In DAB, the angle is made up of rays AD and AB.  This is not the correct pair.

In EAF, the angle is made of rays AE and A.F.  In CAE, the angle is made up of rays AC and AE.  This is not the correct pair.

In BAF, the angle is made of rays AB and A.F.  In EAD, the angle is made up of rays AE and AD.  This is not the correct pair.

In BAF, the angle is made up of rays AB and A.F.  In FAD, the angle is made up of rays A.F and AD.  This is the correct pair.

I believe so.  :) correct me if i'm wrong.

Set up the equations:

2x+3y=80

1x + 4y = 100

solve for x and y:

1x + 4y = 100

x = 100-4y

plug into first equation

2(100-4y)+3y=80

200-8y+3y=80

y=120/5=24

x = 100-4y=100-96=4

So the charges are (x,y)=(4,24)

So the correct answer (B)

If the second coordinate of the ordered pair represents the dollar amount in Jeremy's savings account, then adding 10 to it means that $10 has been added to Jeremy's account.

The rate of change of y (miles traveled) with respect to x (time in hours) is 59, the coefficient of x. The appropriate choice is ...

... C. For every hour, she will drive 59 miles.

The equation y = 59x + 13 shows that Megan's rate of change in distance traveled is 59 miles for every hour driven at cruise control, after the first 13 miles. So, the correct answer is C. For every hour, she will drive 59 miles.

The equation y = 59x + 13 represents Megan's total distance traveled after driving the first 13 miles without cruise control. The variable y stands for the total number of miles driven, and x represents the number of hours driven at a constant speed using cruise control. To identify the rate of change in the distance traveled, we look at the coefficient of x in the equation, which is 59. This coefficient indicates how many miles are added to the initial 13 miles for every hour of driving at cruise control. Therefore, for every hour, Megan will drive 59 miles after the initial 13 miles are accounted for. It is important to note that the initial 13 miles are a fixed distance and do not change with time. Thus, the correct statement describing the rate of change in the distance traveled is C. For every hour, she will drive 59 miles after the first 13 miles.

(1)

given [tex]\frac{j}{6}[/tex] = [tex]\frac{9}{10}[/tex] ( cross- multiply )

10j = 54 ( divide both sides by 10 )

j = [tex]\frac{54}{10}[/tex] = [tex]\frac{27}{5}[/tex] ← in simplest form

(9)

let h be the hours worked daily , then

3h = 20 [tex]\frac{2}{3}[/tex] = [tex]\frac{62}{3}[/tex] ( divide both sides by 3 )

h = [tex]\frac{62}{3}[/tex] ÷ 3

  = [tex]\frac{62}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{62}{9}[/tex] = 6 [tex]\frac{8}{9}[/tex]

She worked  6 [tex]\frac{8}{9}[/tex] hours each day

The sum of the interior angles in a triangle is 180°. To find the value of x, you must subtract 47 and 71 from 180.

180-47-71=x

x=62

The answer is A. 62°

Let x equal the number of books in the box.

x* 1/6 = 8

Multiply each side by 6

x=48 books

The correct answer is B) 48 books.

To determine how many books a completely full box would hold, we need to consider the information given:

The box contains 8 books and it is 1/6 full. To find out how many books would be in the box if it were completely full, we need to set up a proportion:

[tex]\(\frac{8}{\frac{1}{6}} = \frac{8 imes 6}{1} = 48\)[/tex]

This means the box can hold 48 books when full.

So, the correct answer is:

B) 48 books

Answer:

x=-11/12

Step-by-step explanation:

Given an equation for x

x -2/3(3x - 4) + 3x = 5/6

We are asked to find the value of x.

We use equation rules to solve

To get rid of denominator in fraction, let us multiply the whole equation by 6.

6x-4(3x-4) +18x = 5

Simplify:

-6x+18x+16 =5

12x = 5-16 = -11

x = -11/12

Answer:

- 11/6

Step-by-step explanation:

67!/2 = k = 18 235 555 459 094 342 644 124 929 548 302 732 213 583 817 657 024 762 296 850 814 250 133 981 218 471 936 000 000 000 000 000

about 1.82×10⁹⁴

Answer:

k=64

Step-by-step explanation:

To find out the greatest integer such that 2^{k}is a factor if 67!

We divide the quotients by 2 and then finally add all the quotients.

67/2 = 33.5 --------> 33

33/2 = 16.5 ---------> 16

16/2 = 8 --------> 8

8/2= 4 ---------> 4

4/2  = 2--------> 2

2/2 = 1 ----------> 1

k= 33+16+8+4+2+1

   = 64

Hence, 64 is the greatest integer such that 2^{k} is a factor of 67!.

2000 times 0.60 = 1200 doctors

3/5=0.6

x= 2000* 3/5

x=2000*0.6

x=1200

so... 1200 doctors use brand X aspirin.

Answer:

Jimmy run in t minute =  [tex]\frac{m*t}{60}[/tex] miles.

Step-by-step explanation:

Given  : Jimmy ran with the speed of m miles per hour.

To find : How far did he run in t minutes.

Solution : We have given

Speed  = m miles per hour .

Speed =  [tex]\frac{Distance}{time}[/tex].

We can say in 1 hour Jimmy ran =m  miles.

1 hour = 60 minute .

Jimmy ran in 60 minute = m miles .

Jimmy run in 1 minute = [tex]\frac{m}{60}[/tex] miles.

Jimmy run in t minute =  [tex]\frac{m}{60}* t[/tex] miles.

Jimmy run in t minute =  [tex]\frac{m*t}{60}[/tex] miles.

Therefore, Jimmy run in t minute =  [tex]\frac{m*t}{60}[/tex] miles.

The distance covered by Jimmy after t minutes is

[tex]m \: \times ( \frac{t}{60} )[/tex]

Recall :

Distance = Speed × Time

Speed = m miles per hour

Time = t minutes

Converting t to hours :

Recall :

1 hour = 60 minutes

t minutes = t/60 hours

Multiplying Jimmy's speed by the number of minutes run

Distance covered :

[tex]m \: \times ( \frac{t}{60} )[/tex]

Learn more : https://brainly.com/question/11236233

Solution: We are given data points and associated residuals:

Data Point           Residual          Absolute value(Residual)

(20,6)                     -2.00                      2.00

(15,5)                       6.75                       6.75

(5,3)                        -1.25                       1.25

(10,10)                     4.50                       4.50

From the above absolute value(Residual) column, we clearly see the data point (15,5) has the residual with greatest absolute value of 6.75.

Therefore, the data point and its associated residual is:

(15,5)  and 6.75    

Answer:

Data Point: (10,10); Residual = 4.50

A graph shows zeros near -1.449 and +3.449. These suggest that one factor is the quadratic (x -1)² -6. That makes the other quadratic factor be (x -0.5)² +0.75. So, the complete factorization in integers is

... f(x) = (x² -2x -5)(x² -x +1)

The two real roots are near ...

... d. -1.4, 3.4

You are asking for the proportion of numbers 1–6 that are greater than 2. The ones greater than 2 are 3, 4, 5, 6. There are 4 of them, out of the 6 possible numbers. Since the cube is fair, all numbers have equal probability. This means the probability of an outcome greater than 2 is

... 4/6 = 2/3

The appropriat choice is ...

... C.) 2/3

X= amount of rides

Y=total price (33.50)

Equation: 0.75(18) + X = 33.50

                     13.50+ X=33.50

                    -13.50      -13.50

                                X=20.00

Admission=20.00

Answer:

Part a) [tex]x=18\ tickets[/tex], [tex]y=\$33.50[/tex]

Part b) [tex]y=0.75x+20[/tex]

Step-by-step explanation:

Let

x------>  the number of ride tickets.

k-----> constant that represent the cost for festival admission

y----> the total cost

we know that

[tex]y=0.75x+k[/tex]

we have that

[tex]x=18\ tickets[/tex]

[tex]y=\$33.50[/tex]

substitute the values

[tex]33.50=0.75(18)+k[/tex]

solve for k

[tex]k=33.50-0.75(18)[/tex]

[tex]k=\$20[/tex]

The linear equation to calculate the cost for anyone who only pays for festival admission and rides is equal to

[tex]y=0.75x+20[/tex]

∠KLM = 36°

the angle bisector divides ∠NLK into 2 equal angles

∠NLK = ∠NLM + ∠KLM

since ∠NLK = 72° then ∠NLM = ∠KLM = 36°

4.  Supplementary angles together make a straight line (two right angles).  So BOE is supplementary to BOC

Answer: ∠BOE

5. Distance and midpoint between (4,-2), (6,8)

[tex]d = \sqrt{ (6-4)^2 + (8 - -2)^2} = \sqrt{2^2+10^2}=\sqrt{104}=2 \sqrt{26}[/tex]

midpoint

[tex]\left(\dfrac{4 + 6}{2}, \dfrac{-2 + 8}{2} \right) = (5, 3)[/tex]

Answer: distance 2√26, midpoint  (5, 3)

6.That's a rectangle oriented parallel to the axes, width parallel to the x axis of 7 - -3 = 10 and length along y of  1 - - 4 = 5, so an area of 10(5)=50

Answer: 50

The percentage increased by 42.86%.

To calculate the percentage increase:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

If your answer is a negative number then this is a percentage decrease.

y- coordinate 0f A' = 2

note that the coordinates of A(1, 2 ) and the centre of dilatation (4, 2) both have the same y- coordinate 2

This means they are both on the horizontal line y = 2

and so the y- coordinate of A' will also be 2

The number of rows will be a divisor of 550 such that the quotient is 3 more.

... 550 = 1×550 = 2×275 ≈ 5×110 = 10×55 = 11×50 = 22×25

Factors 22 and 25 differ by 3.

The number of rows of seats is 22.

_____

The number of seats in a row is 25.

The theater has 22 rows of seats. To find this, we solve the equation x(x - 3) = 550, where x is the number of seats per row, leading to x = 25 seats per row and 22 rows after subtracting 3.

To find out how many rows of seats are in the theater with a seating capacity of 550, where the number of rows is 3 less than the number of seats in each row, we can set up an equation to solve for the number of rows. Let the number of seats per row be represented by x, and the number of rows will then be x - 3. Since the total number of seats in the theater is the product of the number of rows and the number of seats per row, we have the equation x(x - 3) = 550.

Now, we will factor this quadratic equation to find the value of x.:

x² - 3x - 550 = 0

Factoring this, we find that it breaks down into (x - 25)(x + 22) = 0. We can then find the value of x by setting each factor equal to zero:

We ignore the negative solution since we cannot have a negative number of seats. Hence, there are 25 seats in each row. To find the number of rows, we subtract 3 from the number of seats per row: 25 - 3 = 22 rows.

Therefore, the theater has 22 rows of seats.

-103  

if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)

Answer: -1 1/8

Step-by-step explanation: When you have a problem like this, you have to divide.

So you turn the improper fraction into a mixed number which (4 1/2 turns into 9/2) and then you do KCF (Keep Change Flip). So you keep the 9/8, change division into multiplication, and since we are going to put the four over a 1 like this 4/1, we need to change it into 1/4. Then you multiply across. 9x1=9 and 2x4=8 so it would be 9/8. But it's an improper fraction right? So you do long division, and you get -1 1/8.

GT = 13 and TA = 3

Triangles GRT and GEA are similar and so the ratios of corresponding sides are equal

[tex]\frac{16}{16-x}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )

8(16 - x) = 80

128 - 8x = 80

- 8x = - 48 ⇒ x = 3 = TA

16 - x = 16 - 3 = GT

Answer: GT = 13 and TA = 3

Triangles GRT and GEA are similar and so the ratios of corresponding sides are equal

=  ( cross- multiply )

8(16 - x) = 80

128 - 8x = 80

- 8x = - 48 ⇒ x = 3 = TA

16 - x = 16 - 3 = GT

TA = 6 and GT = 10 ( arithmetic !!)

Step-by-step explanation:

For the first one,

x = 10.

For the second one,

x = 12

x = [tex]\frac{60}{9}[/tex] and x = [tex]\frac{45}{8}[/tex]

Since in both cases the figures are similar then the ratios of corresponding sides are equal

[tex]\frac{x}{15}[/tex] = [tex]\frac{4}{9}[/tex] ( cross- multiply )

9x = 60 ( divide both sides by 9 )

x = [tex]\frac{60}{9}[/tex]

and [tex]\frac{x}{5}[/tex] = [tex]\frac{9}{8}[/tex]

8x = 45 ( divide both sides by 8 )

x = [tex]\frac{45}{8}[/tex]

I had a test and this was one of the questions and the answer it said was (3x1/3) x 42 so you dont have to figure it out. hope this helps anyone who needs it. :)