Question 3 Please help. What is the measure of JLK⌢?

Answer:

The value of z-y is 14x/5

Step-by-step explanation:

The value of x decreased by 80% is → x - x * 80/100 = x - x*4/5 = x/5. This also equals to y → y = x/5.  (1)

The value of x increased by 200% is → x + x * 200/100 = x + 2x = 3x. This also equals to z → z = 3x.  (2)

If you substitute the values from the equation 1 and equation 2, the value of z - y → (3x) - (x/5) = 14x/5

Answer:

[tex]P(A) = \dfrac{1}{4}\\P(B) = \dfrac{1}{13}\\P(A \cap B) = \dfrac{1}{52}\\P(A/B) = \dfrac{1}{4}\\P(A/B) = P(A)\\[/tex]

A and B are not independent events.

Step-by-step explanation:

Total number of possibilities is 52 (Total number of cards in the deck).

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

For event A, number of cases possible for a card to be diamond = 13

[tex]P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}[/tex]

For event B, number of cases possible for a card to be a king = 4

[tex]P(B) = \dfrac{4}{52} \\\Rightarrow P(B) = \dfrac{1}{13}[/tex]

For the event, [tex]A \cap B[/tex], the card is a king and diamond, only one case is possible.

Because there is only one card for king of diamond.

[tex]P(A \cap B) = \dfrac{1}{52}[/tex]

Formula for P(A/B):

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

[tex]\Rightarrow \dfrac{\dfrac{1}{52}}{\dfrac{1}{13}}\\\Rightarrow \dfrac{1}{4}[/tex]

Yes, P(A) is same as P(A/B).

Here, A and B are not independent events because they have a common case i.e. a king is there which is of diamond in the deck.

Answer:

1/4

1/13

1/52

Yes, events a and b are independent events

Answer:

D.

t <= 4.

Step-by-step explanation:

15 + 3/2 t  <= 21

3/2 t <= 6

t <= 6 * 2/3

t <= 4.

Answer:

36

Step-by-step explanation:

reverse the number

Answer:

1/4

Step-by-step explanation:

8 divided by 2= 0.25=1/4

The fraction of the carrots that each friend takes will be 1/4 part.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

There are 8 carrots. Four companions take 2 carrots each.

The fraction of the carrots that each friend takes will be given as,

⇒ 2/8

Simplify the fraction, then we have

⇒ 2/8

⇒ 1/4

The small portion of the carrots that every companion takes will be 1/4 section.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

Answer:

3/12

Step-by-step explanation:

because because blue is on the spin wheel 3 out of 12 times and 3 is as reduced fraction as you could get because it's odd

Answer:

A mirror

Step-by-step explanation:

thats all

Answer:

96

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

84.48/0.88

The first step to dividing decimal numbers is to convert them into whole numbers. You can do this by multiplying 1 followed by as many zeros as decimal numbers there are. In this case, we have 2 decimal numbers, therefore, we must multiply by 1 followed by 2 zeros rather 100.

84.48*100/0.88*100

---------------------------------------------

8448/88=96

792

-------

 52'8

 528

 --------

    -

Answer:

Step-by-step explanation:

length = 1800 / 6/10 = 30 ft long = 10 yard

Answer:

-3<3

Step-by-step explanation:

youre welcome

Answer:

45

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

4,7,9 is not a right angle triangle. If it was a right angle triangle then it show work in the formula a^2+b^2=c^2. But 4^2+7^2 doesn't equal 9^2. The hypotenuse or c should be 8.02 to be a right angle triangle.

Answer:

first B,second A, third C on edg

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

Answer:

C, 9.4

Step-by-step explanation:

Answer:

on a graph paper draw the coordinate plane and locate -1 and draw a horizontal line

Step-by-step explanation:

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.

This is a linear function with a slope of 1 and a y-intercept at one.

Answer:

Linear function

because this kind of graph use line using the slope and y-intercept or two points

slope 1

y-intercept 1

x | y

0 | 1

1  | 2

Answer:

1/6, because there is only one way it's possible and there are 6 outcomes.

Step-by-step explanation:

Answer:

the diagonal of the second square = 4.24264068712

Step-by-step explanation:

3^2 + 3^2 = 18 =the diagonal of the second square ^2

the diagonal of the second square = 4.24264068712

Answer:

see below

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

this took like forever but there u go

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

b

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

3( 4x - 3) + 8 = 2x + 10x -1

Distribute

12x - 9 +8 = 2x+10x -1

Combine like terms

12x - 1 = 12x - 1

Subtract 12x from each side

12x - 1 -12x = 12x - 1-12x

-1 = -1

This is true for all values of x

x = all real numbers

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 ( 4x - 3 ) +8 = 2x + 10x - 1       Example 1:

12x - 9 + 8 = 12x  - 1                    3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1

        - 12x = -12x                           3 ((4) - 3) + 8 = (2) + (10) - 1

      -9 + 8 = -1                                 ( 12 - 9 ) + 8 = 12 - 1

             -1 = -1                                            3 + 8 = 12 - 1

Example 2                                                       11 = 11

3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1

3 ((24) - 3) + 8 = (12) + (60) - 1

       72 - 9 + 8 = 72 - 1

              72 - 1 = 72 - 1

                    71 = 71

The answer is [tex]\boxed{7},[/tex] where [tex]a=5[/tex] and [tex]b=2.[/tex]

Solution sketch:

Apply the Pythagorean theorem to find [tex]EC[/tex] and [tex]AE,[/tex] which you then use to find [tex]AD[/tex] and [tex]BC.[/tex] Apply Heron's formula to [tex]\triangle ABC[/tex] to find that its area is 10, and then use [tex][ABC]=\frac{(AB)(CF)}{2}[/tex] (base times height over 2) to finish by solving for [tex]CF.[/tex].

Answer:

2 1/4

Step-by-step explanation:

- 5 1/4- [-7 1/2]

Get a common denominator of 4

- 5 1/4- [-7 1/2*2/2]

- 5 1/4- [-7 2/4]

We know subtracting a negative is adding

- 5 1/4 + [7 2/4]

Rewriting

7 2/4 - 5 1/4

Subtract the whole numbers

7-5 =2

Subtract the fractions

2/4 -1/4 = 1/4

2 1/4

Answer:

2 ¼

Step-by-step explanation:

-5 ¼ - [-7 ½]

-5 ¼ + 7 ½

7½ - 5¼

(7-5) + (½-¼)

2 + ¼

2 ¼

Answer:

11

Step-by-step explanation:

9+8+4=21

we want to divide a number by 4 to get 8

4 x 8=32

32-21+11

Answer:

Step-by-step explanation:

∠A + ∠B = 180    {supplementary angles}

8x - 25 + 7x - 5 = 180    {bring the like terms together}

8x + 7x - 25 - 5 = 180   {add the like terms}

15x - 30 = 180    {add 30 to both the side}

15x = 180 +30

15x = 210          {divide both sides by 15}

15x/15 = 210/15

x = 14

∠B = 7x - 5 = 7*14 - 5

      = 98 - 5

 ∠B = 93°

Answer:

Step-by-step explanation:

27

Answer:

$1,875

Step-by-step explanation:

$15.00 per hour (multiply by hours)

per technician (multiply by technicians)

so: 15x25=375 then 375x5=1,875

Answer:

$1875

Step-by-step explanation:

First, let's find how many hours the technicians worked

She has 5 technicians, and the each worked 25 hours

We can multiply 5 and 25 to find the total number of hours

5*25=125

Now we know that the technicians worked 125 hours altogether. Now, we need to find how much money that is.

They worked 125 hours, and they are paid $15 per hour

We can multiply 125 and 15 to find the cost

125*15=1875

So, Dr. Barber will pay the technicians $1875 in total

90 + 12/5 x 60=90 + 144 +100= 334

so 334 would be your answer

The number of minutes after Abe begins for the three of them to finish painting the room is; 344 minutes

We are told that Abe can paint the room in 15 hours.

Converting to minutes gives; 15 × 60 = 900 minutes

If the area of the room to be painted is x.

Then area painted per minute is; x/900

Now Bea paints 50% faster than Abe. Thus, rate bee can paint per minute is; 1.5x/900

Now,coe can paint twice as fast as Abe. Thus, rate coe can paint per minute is; 2x/900

Abbey works alone for the first hour and half. Thus, this is 90 minutes. Area covered by him in 90 minutes = (x/900) × 90 = x/10

x/10 + (x/900)t + (1.5x/900)t = x/2

Multiply through by 900 to get;

90x + xt + 1.5xt = 450x

Divide through by x to get;

90 + t + 1.5t = 450

2.5t = 360

t = 360/2.5

t1 = 144 minutes

(x/900)t + (1.5x/900)t + (2x/900)t = x/2

Multiply through by 900/x to get;

t + 1.5t + 2t = 450

4.5t = 450

t = 450/4.5

t2 = 100 minutes

Thus, total time = 144 + 100

Total time = 244 minutes

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