nine more than twice a number is less than negative fifteen. solve the inequality for the unknown number.

From 7:00 to 9:46 we see it passes 2 hours and 46 minutes.

But it started 6:58 . So we add +2 minutes. 46+2 = 48

2 hours and 48 minutes.

But we must find the second form.

1 hours = 60 minutes = 3600 seconds

So, 2 hours = 120 minutes = 7200 seconds.

and 1 minutes = 60 seconds

      48 minutes = 60 x 48 = 2880 seconds.

7200 + 2880 = 10080 seconds.

Answer: 107.5

Step-by-step explanation:

120 x 14= 1680

90 x 10= 900

Now you add 1680+900= 2580

Then you divide the distance (2580) between the speed (14+10)

2580/24= 107.5

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)[/tex]

So, the possible dimensions of the rectangle are (x+7) and (x-6).

Thank you.

Answer:

Step-by-step explanation:

[tex] \sf{ {x}^{2} + x - 42}[/tex]

Here, we have to find two numbers which subtracts to 1 and multiplies to 42

⇒[tex] \sf{ {x}^{2} + (7 - 6)x - 42}[/tex]

⇒[tex] \sf{ {x}^{2} + 7x - 6x - 42}[/tex]

Factor out x from the expression

⇒[tex] \sf{x(x + 7) - 6x - 42}[/tex]

Factor out 6 from the expression

⇒[tex] \sf{x(x + 7) - 6(x + 7)}[/tex]

Factor out x + 7 from the expression

⇒[tex] \sf{(x + 7)(x - 6)}[/tex]

So, the possible dimensions of the rectangle are x + 7 and x - 6 .

Hope I helped!

Best regards!

Answer:  C

Step-by-step explanation:

Answer:

(C) -43

Step-by-step explanation:

♥☺

Step-by-step explanation:

Here,

[tex]1. \: (2x + 2) + (3 - 5x)[/tex]

open brackets,

[tex]2x + 2 + 3 - 5x[/tex]

[tex] = - 3x + 5[/tex]

now,

[tex]2. \: (3x - {4x}^{4} ) + (2x + {5x}^{4} [/tex]

open brackets,

[tex] = 3x - {4x}^{4} + 2x + {5x}^{4} [/tex]

simplifying like terms,

[tex] = {x}^{4} + x[/tex]

Hope it helps...

Answer:

Length = 82.5 feet

Width = 17.5 feet

Step-by-step explanation:

The formula for the Perimeter of a rectangle = 2(Length + Width)

= 2L + 2W

We are told in the question that: Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard

Hence, The perimeter of the rectangular front yard = 200 feet

200 = 2( L + W).........Equation 1

Also, the length is 5 feet less than 5 times the width

L = 5W - 5

Hence,

200= 2(5W - 5 + W)

200 = 2(5W + W - 5)

200 = 2(6W - 5)

200 = 12W - 10

Collect the like terms

200 + 10 = 12W

210 = 12W

W = 210/12

W = 17.5 feet

Substitute 17.5 for W in Equation 1

200 = 2( L + W).........Equation 1

200 = 2( L + 17.5)

200 = 2L + 35

200 - 35 = 2L

2L = 165

L = 165/2

L = 82.5 feet

Therefore, the Length of the rectangular fence = 82.5 feet while the Width of the rectangular fence is 17.5 feet.

Answer:

16, 56, ...

Step-by-step explanation:

It looks like you have to put in each cell the multiplication of the row and the column, so the columns are 2, 7, 4 etc., and the row is always 8.

First cell: 2x8 = 16

Second cell: 7x8 = 56

and so on

It teaches you to apply the multiplication in a random sequence; you should be able to do this in your head.

Answer:

Hey there!

-3(2x-1)

-6x+3

Let me know if this helps :)

Answer:

[tex]- 6x + 3[/tex]

Step-by-step explanation:

[tex] - 3(2x - 1) \\ = - 6x + 3[/tex]

Answer:

no triangles

Step-by-step explanation:

why?

the triangle inequality theorem

this theorem states that the sum of any two sides must be bigger than or equal to the third side. however, the sum of 2.1 and 2.6 is less than 4.8

Answer:

y=30

Step-by-step explanation:

f(-2)=18+3(-2)^2

f(-2)=18+3*4

f(-2)=18+12

f(-2)=30

Answer:

y= 6

Step-by-step explanation:

substitute x= -2 in the equation y=18+3x^2

from there you'll get your final answer

Answer:

Nancy had 7 correct answers.

Step-by-step explanation:

To solve this problem, we can set up a system of equations.  Let's assign the variable c to represent the number of correct answers Nancy had and the variable i represent the number of incorrect answers she had.

We know that the total number of answers is 10 because it is given that she answered all 10 problems.  This lets us set up the first equation as follows:

c + i = 10

Then, we can set up a second equation using the number of points (29 total).  We know that +5 points were added for each correct response (c) and -2 points were added for each incorrect response (i).  Our next equation will look like this:

5c - 2i = 29

There are many different strategies one can use to solve systems of equations.  In this case, I am going to use combination.  This means I am going to add the two equations together.  However, first I should multiply our first equation by 2 so that the "I" variable terms cancel out.  This is modeled below:

2c + 2i = 20

Now we can add the two equations:

5c + 2c +2i - 2i = 20 +29

Now we can simplify the equation by combining the like terms to get:

7c = 49

Finally, we should divide both sides of the equation by 7 in order to get the variable c by itself on the left side of the equation.

c = 7

Therefore, the correct number of responses Nancy gave was 7.

Hope this helps!

Answer:

B = 4

Step-by-step explanation:

Given that B is directly proportional to A then the equation relating them is

B = kA ← k is the constant of proportionality

To find k use the condition B = 3 when A = 18 , then

3 = 18k ( divide both sides by 18 )

k = [tex]\frac{3}{18}[/tex] = [tex]\frac{1}{6}[/tex]

B = [tex]\frac{1}{6}[/tex] A ← equation of proportion

When A = 24, then

B = [tex]\frac{1}{6}[/tex] × 24 = 4

Answer:

72ft.

Step-by-step explanation:

18(18)=324

18(4)=72

Answer:

10

Step-by-step explanation:

We can show this as:

Since

Then

The closest number in the list is 10 as all the rest are greater than 10

Second choice is the correct one

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

              Hi my lil bunny!

  ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]\sqrt{90}[/tex]

[tex]= \sqrt{10}[/tex] (Decimal: 9.486833)

( I don't know it might be wrong )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

       Have a great day/night!

                  ❀*May*❀

Answer:

The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].

Step-by-step explanation:

Let be [tex]A =(7,3)[/tex], [tex]B = (-8,6)[/tex] and [tex]C = (0,-5)[/tex] the vertices of the original triangle, as well as [tex]\vec t = \left<-9, 5\right>[/tex], the coordinates of the vertices of the new triangle are, respectively:

[tex]A' = A + \vec t[/tex]

[tex]A' = (7,3)+(-9,5)[/tex]

[tex]A' = (7-9,3+5)[/tex]

[tex]A'=(-2,8)[/tex]

[tex]B' = B + \vec t[/tex]

[tex]B' = (-8,6)+(-9,5)[/tex]

[tex]B' = (-8-9,-9+5)[/tex]

[tex]B'=(-17,-4)[/tex]

[tex]C' = C + \vec t[/tex]

[tex]C' = (0,-5)+(-9,5)[/tex]

[tex]C' = (0-9,-5+5)[/tex]

[tex]C'=(-9,0)[/tex]

The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].

Answer:

B

Step-by-step explanation:

Step 1: Find √11

√11 is between perfect squares √9 and √16

√9 < √11 < √16

3 < √11 < 4

So it is between 3 and 4

Step 2: Evaluate

√11 = 3.31662

Closest dot is B.

Answer:

Choices 1 and 5

Step-by-step explanation:

155 + 166 = 25 + 296

Correct choices:

155 - 296 = 25 - 166

166 - 25 = 296 - 155

Answer:

-217

Step-by-step explanation:

Add them both together because it is asking for the "sum".

-354+137= -217

Answer:

It’s the estimate tidal to the nearest dollar is $38 so he can offered them

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

3)   8

4)  4

5)  14

6)  47

7)  18/5

8)  3/2

9)  255/4

10)  16

11)  21

12)  40

13)  73.5

14)  1

15)  25/2 or 12.5

16)  0

17)  48

18)   862

19)  9765625

20)  343

21)  8.1x10⁻³

22)  10.24

23)  1/156

24)  n⁷

25)  y⁶

26)  t⁴

27)  error is 0.4² should be 0.02²

28)  5⁴ = 5 x 5 x 5 x 5 = 625

29)  9

30)  100

31)  1

32)  1331

33)  125

34)  1024

35)  64

36)  1296

37)  1/16

38)  16/81

39)  27/125

40)  1/216

hope you enjoy the answers.

Answer:

thx

Step-by-step explanation:

Answer:

33000

Step-by-step explanation:

Substituting 250 for x and -120 for y, we get:

(250)^2 + 2(250) - (250)(120)  =  62500 + 500 - 30000, or

32500 + 500, or 33000

Answer:

-19

-2/5

0

4/7

2.89

Step-by-step explanation:

a rational number is any number that can be converted to a fraction, I know this because I took a test a while back and it helped me understand it.  I hope this helps!!! :)

Answer:

5.2x + 24.4

Step-by-step explanation:

1.2(x-3) + 4 (x+7)

=1.2x - 3.6 + 4x + 28

=5.2x + 24.4

Hope this helps..

Answer:

The data we have is:

the probability that a civil servant own a car is 1/6

Two civil servants are selected at random.

a) The probability that each own a car.

Ok, here we have two events:

Person 1 haves a car.

Person 2 haves a car.

The probability of each of those events is the same, 1/6.

P1 = 1/6

P2 = 1/6

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.

P = P1*P2 = (1/6)*(1/6) = 1/36.

b) Only one has a car.

Suppose that Person 1 has the car and Person 2 has not a car.

The probability for person 1 is 1/6.

And for person 2, is the negation of having a car:

So if we have prob of having a car = 1/6

Then the probability of not having a car is = 1 - 1/6 = 5/6.

Then we have:

P1 = 1/6

P2 = 5/6.

The joint probability is:

P = P1*P2 = (1/6)*(5/6) = 5/36.

But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.

P = 2*(5/36) = 10/36

=> R.H.S

[tex] \frac{ \sin(4x) }{ \cos(2x) } = \frac{ \sin(2x + 2x) }{ \cos(2x) } [/tex]

[tex] = \frac{ 2 \sin(2x) \cos(2x) }{ \cos(2x) } [/tex]

[tex] = 2 \sin(2x) [/tex]

[tex] = 2(2 \sin(x) \cos(x) )[/tex]

[tex] = 4 \sin(x) \cos(x) [/tex]

R.H.S = L.H.S

PROVED!

Answer:

Below

Step-by-step explanation:

● 4 sin(x) cos(x) = sin(4x)/cos(2x)

Let's prove that:

● 4 sin(x) cos(x) cos(2x) = sin(4x)

It's easier to prove it than the first one

■■■■■■■■■■■■■■■■■■■■■■■■■■

● 4 sin(x) cos(x) cos (2x)

● [2 sin(x) cos(x)] 2 cos(2x)

We khow that [2 sin(x) cos(x)]= sin(2x)

So:

● sin(2x) 2 cos(2x)

Based on the same relation

● sin(4x)

It's proved

Answer: They purchased  12 uniforms

Step-by-step explanation:

If the equipment cost $612 in total and the uniforms cost $25 each and they spent a total for $912 then we could represent it by the equation  25x + 612 = 912   where x is the number of uniforms that the school purchase.

25x + 612 = 912   solve for x   by subtracting 612 from both sides

         612     612

25x = 300     divide both sides by 25

x = 12

Answer: option 2. x²-1

Step-by-step explanation:

concept to know: a²-b²=(a+b)(a-b)

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

(a+b)(a-b)=a²+b²

(x+1)(x-1)=x²-1

Hope this helps!! :)

Please let me know if you have any question

Answer:

[tex]x\geq 5[/tex]

[tex]\{x\ |\ x \geq 5\}[/tex]   OR {5, 6, 7, 8, .....}

Step-by-step explanation:

First of all, let us have a look at the interval shown on the number line and try to understand it properly.

The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.

The number highlighted starts from 5 and there is filled circle at 5.

So, 5 is included in the interval.

The arrow is from 5 towards 8 and so on..

That means Numbers greater than or equal to 5 are represented by the interval.

So, writing as an inequality

Let [tex]x[/tex] represents one of the numbers.

Hence, inequality can be written as:

[tex]x\geq 5[/tex]

Using the set notation:

[tex]\{x\ |\ x \geq 5\}[/tex]

OR

{5, 6, 7, 8, .....}

Answer:

11.6

Step-by-step explanation:

Solving with steps as below:

Answer is: r =11.6

Answer:

They determine how much to make by how much demand there is for said product from the consumer.

Step-by-step explanation: