3. All rational numbers are integers. ​

Answer: Algebraic: 15-22

Simply:-7

Step-by-step explanation:

Less than means to take away from, so in this case we are taking away 22 from 15

Answer:

y = -8/5

Step-by-step explanation:

Step 1: Write equation

5/8y = -1

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

Answer:

Step-by-step explanation:

The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180

Substitute:

2 x +9+6x-1 = 180

collect like terms;

2x+6x+9-1 = 180

8x+8 = 180

8x = 180-8

8x = 172

x = 172/8

x = 21.8°

For the shape to be a quadrilateral, then the measure of angle k must 128 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

[tex]J + M = 180[/tex] implies that:

[tex]2x + 9 + 6x -1 = 180[/tex]

Collect like terms

[tex]2x + 6x = 180 -9 +1[/tex]

[tex]8x = 172[/tex]

Divide both sides by 8

[tex]x = 21.5[/tex]

We have:

[tex]K = M[/tex]

This becomes

[tex]K = 6x -1[/tex]

Substitute 21.5 for x

[tex]K = 6\times 21.5 -1[/tex]

[tex]K = 129 -1[/tex]

Subtract 1 from 129

[tex]K = 128[/tex]

Hence, the measure of angle K must be 128 degrees

Read more about quadrilaterals at:

https://brainly.com/question/25696839

Answer:

P = 20x - 12

Step-by-step explanation:

The Perimeter of a Rectangle is 2l + 2w, where l is the length and w is the width.

Now, let's substitute the given values.

2(8x - 9) + 2(2x + 3)

= 16x - 18 + 4x + 6

= 20x - 12                     <--- This is the answer

Hope this helps!

Answer:

yes you cam win money form playing this game but you can also lose money.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

The probability that Archie will receive a grade higher than a B in the course is 0.2164.

Step-by-step explanation:

We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.

Let B = event that the student received a grade higher than B.

and T = event that the student discussion sessions with the TA.

So, P(B) = 0.11 and P(T) = [tex]\frac{4}{18}[/tex] = 0.22

Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92

Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)

As we know that the conditional probability formula is given by;

                           P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

Now, as it is given that P(not B/not T) = 0.92

So, [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})}[/tex] = 0.7176

Also, [tex]{\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}[/tex]

[tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] = 1 - 0.7176 = 0.2824  

Now, the formula for [tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] is given by;

[tex]{\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}[/tex]

0.2824 = 0.11 + 0.22 - [tex]\text{P(B} \bigcap \text{T})[/tex]

[tex]\text{P(B} \bigcap \text{T})[/tex] = 0.33 - 0.2824 = 0.0476

Now, the required probability P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

                                                         = [tex]\frac{0.0476}{0.22}[/tex] = 0.2164

Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.

Answer:

88% of people were infected by the cold virus

Step-by-step explanation:

153/135 multiplied by 100 will give the answer to be 88.235%. round to nearest percent is 88%

Answer:

C

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

2x-y+7

Let x = -5 and y = -2

2(-5) -(-2) +7

-10 +2 +7

-10 +9

-1

Answer:

150 adults and 270 children

Step-by-step explanation:

Let there are x adults and y children.

ATQ,

x+y=420

or

y=420-x ....(1)

Adult visitors pay $3 and children visitors pay $1. on one day, the zoo collected a total of $720.

ATQ,

3x+y=720...(2)

Put equation (1) in equation (2).

3x+420-x=720

2x=720-420

2x=300

⇒x=150

Put the value of x in equation (1)

y=420-150

⇒y=270

So, there are 150 adults and 270 children visited.

Answer:  $5.40

Step-by-step explanation:

First we will find the tax amount for Dave by multiplying 8% by 15.

8% * 15 =  1.2  

Now add it to the original price of the baseball which is 15.

15 + 1.2= 16.20  This means Dave paid $16.20 in total.

Now find the tax amount for Mel.

20 * 8% = 1.6  

Add 1.6 to the original price which is $20.

1.6 + 20 = 21.60    

Mel also paid $21.60 in total.

To find the difference  we need to subtract the lowest amount from the highest amount.

21.60 - 16.20 = 5.40

Answer:

51.7 / 4 = 12.925

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

[tex]x=58[/tex]

Step-by-step explanation:

First, remember that the maximum degree of an angle totals 360°.

Since we already have 294°, this means that what is left must total [tex]360\textdegree - 294\textdegree= 66\textdegree[/tex].

Therefore, this means that our two smaller angles must equal 66°. So:

[tex](36)+(x-28)=66[/tex]

Solve for x. Add on the left:

[tex]x+8=66[/tex]

Subtract 8 from both sides. Therefore, the value of x is:

[tex]x=58[/tex]

Answer:

were ate circles I'm suppose to use

Step-by-step explanation:

where is the circles

Answer:

x = 12 degrees

Step-by-step explanation:

(9x-4)+(6x+4)=180                 Linear Pair Theorem

15x=180                                  Simplified

180/15 = x                               Division Property of Equality

x = 12 degrees                       Simplified

Hope this helped! ;)

Answer:

35.56

Step-by-step explanation:

multiply the length value by 2.54

Answer:

35.56 cm.

Step-by-step explanation:

multiply the length value (the number) by 2.54

Answer:

834100

Step-by-step explanation:

1. Move the decimal FIVE times to the right

8.341 ----> 834100.

2. Solution

834100

Answer:

4.1

Step-by-step explanation:

Answer:

[tex]y+6=\frac{-8}{7} (x-7)[/tex]

Step-by-step explanation:

To find the slope of the equation use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

So, [tex]\frac{-6-2}{7-0}[/tex] = [tex]\frac{-8}{7}[/tex]. Now we can use our slope and any of the two points to write in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex]. Using the point (7,-6), the formula will give [tex]y+6=\frac{-8}{7} (x-7)[/tex].

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

Answer:

I think the answer is B

Step-by-step explanation:

he would need to factor 4x² in order to get his answer not just 4x

Answer:

well I actully you do 17,125 times 3 and then you get your answer

Step-by-step explanation:

17,125 times 3

Answer:

210,541

Step-by-step explanation:

17125 x 3 = 51375

51375 + 159166 = 210541

Answer:fgh

Step-by-step explanation:

Answer:

3?

Step-by-step explanation:

It would be 3 since he took 1 hour in one order it would take another 3 hours to complete 3 other orders. Sorry if I'm wrong. :)

Answer:

21

Step-by-step explanation

They jumped 3 meters above the water, jumped down 18, 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18, thats 15 away, the distance is 15, if I am worng (probably am) try 20, if not, Im retarted and dont trust me with this.

9514 1404 393

Answer:

  21 m

Step-by-step explanation:

The difference in height between +3 meters and -18 meters is ...

  3 -(-18) = 3 +18 = 21 . . . . meters