At the first stop on a subway line, 50 passengers entered the train. The chart shows the number of passengers that entered and
exited the train for the next 5 stops. How many passengers were on the train when the train departed from stop 5?

Answer:

Step-by-step explanation:

A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...

  -2x

You want that product greater than 30. The symbol for "greater than" is >, so you have ...

  -2x > 30 . . . . the desired inequality

__

The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."

  x < 30/(-2)

  x < -15 . . . . . . the desired solution

_____

Additional comment

It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.

Consider ...

  1 < 2

  -1 > -2

Answer: Never produce a rational numbers

Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.

Answer:

53&8

Step-by-step explanation:

38-23=15

23+15+15=53

23-15=8

Answer:

24

Step-by-step explanation:

[tex]\sqrt{144*4}\\\\ \sqrt{576}\\\\ \sqrt{24^2}\\\\\boxed{24}[/tex]

Hope this helps!

Answer:

24 Ans ...

Step-by-step explanation:

Data:

=√144 x 4

Solution:

=√576

=24 Ans ...

Answer:

r³ + 15r² - 10r - 4

Step-by-step explanation:

First, note you can remove the brackets, in this case they contribute nothing at all.

Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.

Finally, order them from greatest power of r to smallest power of r.

That's all!

Answer:

1,3,4, and 7 will all have 42 degrees and 2,5,6 will have angles of 138 degrees

Step-by-step explanation:

since one side of a circle is always 180 degrees, you would need to subtract 180 from 138, which would give you 42 degrees, and because every angle corolates with another angle in this situation it would mean any that are in the same place either in the first or second set of angles would be the same as the other.

Answer:

(b)26

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Answer:

See answers below

Step-by-step explanation:

1) Given the simultaneous equation;

-2x + 2y = 2 .... 1  * 2

4x –4y= 4...2 * 1

____________

-4x + 4y = 4 .... 1

4x –4y= 4...2

Add both equations

4y-4y = 4-4

0y = 0

y = 0/0

Let x = k

Substitute x = k into 1

From 1: -2x + 2y = 2

-x+y = 1

-k + y = 1

y = 1+k

Hence the solution to the system of equation (x, y) is (k, 1 + k) where k is any integer.

The presence of k shows that the equation has many solutions since k can take any value

2) Let a box of popcorn be x

Let the cost of a drink be y

If a customer at a concession stand bought 2 boxes of popcorn and 3 drinks for $12, then;

2x + 3y = 12 ... 1

Also, if another customer bought 3 boxes of popcorn and 5 drinks for $19, then;

3x + 5y = 19 ...2

Solve 1 and 2 simultaneously

2x + 3y = 12 ... 1  * 3

3x + 5y = 19 ...2  * 2

_________________

6x + 9y = 36  

6x + 10y = 38

Subtract

9y - 10y = 36 - 38

-y = -2

y = 2

Recall that 2x + 3y = 12

2x + 3(2) = 12

2x + 6 = 12

2x = 12-6

2x = 6

x = 6/2

x= 3

Hence a box of popcorn cost $3 and a drink cost $2

Answer:

(b − 10)(b^2 + 10b + 100)

Step-by-step explanation:

Answer:

he would only be able to buy 2 boxes of pizza

Step-by-step explanation:

Subtract $1.99 from the $15 he has.

$15 - $1.99 = $13.01

Divide $13.01 by $4.00

$13.01/$4.00 = 3.25

There is a decimal in the final answer which means its not a whole pizza. So, the max he would be able to buy is 2 bokes of pizza

Answer:

Lesser returns > T bills

Higher risks > A-rated bonds

Costly and time consuming > Property

No steady cash flow > stocks

Step-by-step explanation:

I just took the test

Answer:

212121

Step-by-step explanation:

21121212

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

A.  3            

B. 0                

C. 1

EZ MATH

Answer:

(A) V = π(8)²h

Answer:

8°

Step-by-step explanation:

The sum of the measures of the exterior angles of a any polygon = 360.

So,  x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360

        45x = 360

            x = 8°

The measure of the smallest exterior angle would be equal to 8°

In geometry, a Octagon is a eight - sided polygon. For a [n] sided polygon -

According to the question, we have - A Octagon and the measures of the exterior angles of an octagon are x°, 2x°, 4x°, 5x°, 6x°, 8x°, 9x° and 10x°.

The sum of the exterior angles of the octagon will be 360°.

Therefore, we can write -

x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360°

45x = 360°

x = 360/45

x = 8

The smallest exterior angle would be equal to [x]° = 8°

Therefore, the measure of the smallest exterior angle would be equal to 8°

To solve more questions on Polygons, visit the link below -

brainly.com/question/11095766

#SPJ2

Answer:

A) 20 degrees

Step-by-step explanation:

The sine of an angle is equal to the cosine of the angles complimentary angle.

Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Answer:

X=4 and Y= -24

Step-by-step explanation:

Step 1: −6x for y in−2x−y=16:

−2x−y=16

−2x−−6x=16

4x=16

4x/4=16/4

x=4

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

y=−6x

y=(−6)(4)

y=−24

y=-24

You are given either the x value or the y value.

Replace the x or y in the equation and solve for the missing values.

-4x + 5y = 3

First you are given x = 0:

So you have -4(0) + 5y = 3

Simplify:

0 + 5y = 3

Divide both sides by 5:

y = 3/5

Next you have x = 1:

-4(1) + 5y = 3

Simplify:

-4 + 5y = 3

Add 4 to both sides:

5y = 7

Divide both sides by 5:

y = 7/5

Third you are given y = 3

-4x + 5(3) = 3

Simplify:

-4x +15 = 3

Subtract 15 from both sides:

-4x = -12

Divide both sides by -4:

x = 3

Answer: The answer is 19

Step-by-step explanation: EDGE2020

The mean of the difference D = S - F is 19, which is the correct option (B).

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

To calculate the mean of the difference D = S - F, we need to find the expected value of the difference between two random variables, one representing the scores of senior students and the other representing the scores of first-year students.

Here,

μS = 123

μF = 104

The mean of the difference is the difference of the means, so we have:

μD = μS - μF

μD = 123 - 104

μD = 19

Therefore, the mean of the difference D = S - F is 19.

Learn more about the standard deviation here:

brainly.com/question/16555520

#SPJ3

Answer:

1. y = -3x +7

2. 4, 0

3. y = 5x

4. 5, -1

5. y = -9

6. 7, 0

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A(-3 , 3) -> A'(-9 , 9)

B(3 , 3) -> B'(9 , 9)

C(3 , 0) -> C'(9 , 0)

A'B'C' is a dilation of ABC about the origin with factor of 3

ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement

Answer:d=7

Step-by-step explanation:

Easy math

Answer:

Mehmed II

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

Jake doesn't include 1 as constant.

Step-by-step explanation:

The given expression is  6+n+5b.

Jake says that 5 is a coefficient and 6 is a constant.

In this case, the coefficient is 5.

Constants are 6 and 1.

And variables are n and b.

Hence, Jake doesn't include 1 as constant.

Answer:

-0.048

Step-by-step explanation:

-30 * -1/5 = 6

6 * -1/5 = -1.2

(Remember -30 is first term so we subtract 1 from 5 in the exponent)

-30 * (-1/5)^4 =  -0.048

ok

guys

ok

guys

ok

LOL

LOL

LOL

LOL