the product of -5 and a number is at least -40 What algebraic inequality represents the phrase and what are the solutions?

Answer:

Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.

Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.

Step-by-step explanation:

Given

The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.

Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is

[tex]^7C_{19}[/tex] = 50388

If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is

[tex]^8C_{19}[/tex] = 75582

Answer:1.53

Step-by-step explanation:

Answer:

x=0, -28.

Step-by-step explanation:

abs(x+14)=14

x+14=14

x=14-14=0

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

x+14=-14

x=-14-14

x=-28

Answer:

261

Step-by-step explanation:

→ Substitute 2 into g( x )

( 3 × 2 ) + 10 = 16

→ Substitute that answer into f( x )

16² + 5 = 261

Answer:

-2/5

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= ( 3-9)/(0+15)

= -6/15

= -2/5

Answer:

0.50 cents

Step-by-step explanation:

If we're going to need the price for 1, we're going to need to divide. So, with the known information, we take 5$ (or 5.00$) and divide it by 10 hamburgers to get your quotient of .50 cents . If I'm wrong, please don't be afraid to correct me. And have a good day stranger!

Answer:

hi i know this not the answer but hope it help:)))

Step-by-step explanation:

Multiply the probabilities just calculated for each individual spinner together to find the probability of getting any specific combination of outcomes from spinning the arrows on both spinners. In the example, you would multiply 1/4 by 1/3 to obtain 1/12.

9514 1404 393

Answer:

  (i) not continuous at x=2

  (ii) -√2

Step-by-step explanation:

(i) The function simplifies to ((x -2)(x+2))/(x -2) = x +2 . . . . x ≠ 2

The left and right limits at x=2 exist and are the same: 4. However, the function is undefined at x=2, so the conditions for continuity are not met.

__

(ii) The expression is indeterminate (0/0) at x=π/4, so  L'Hopital's rule can be used to find the limit.

  lim[x→π/4] = ((d/dx)(cos(x)-sin(x)))/((d/dx)(x-π/4)) = (-sin(π/4)-cos(π/4))/1

  lim[x→π/4] = -√2/2-√2/2 = -√2

The limit is -√2.

Answer:

7

Step-by-step explanation:

47 + 70 + 9p = 180

117 + 9p = 180

Subtract 117 from both sides

9p = 63

Divide both sides by 9

p = 7

Step-by-step explanation:

47+70+9p=180

=117+9p=180

180-117=9p

63=9p

7=p

Answer:

  x = 12

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

  arc SU +arc UT = 180°

  2(43°) +(9x -14)° = 180°

  9x = 108 . . . . . . . divide by °, subtract 72, simplify

  x = 12 . . . . . divide by 9

Answer:

Answer and steps in picture.

Answer:

[tex]\huge {\purple {a_{50} = 153}} [/tex]

Step-by-step explanation:

Given sequence is 3n + 3

[tex] \implies a_n = 3n + 3[/tex]

Plug n = 50

[tex] \implies a_{50} = 3(50) + 3[/tex]

[tex] \implies a_{50} = 150 + 3[/tex]

[tex]\huge {\red {\implies a_{50} = 153}} [/tex]

We have ,

=> T_n = a + ( n - 1)d

=> T₅₀ = 3n + 3

=> T₅₀ = 3(50) + 3

=> T₅₀ = 150 + 3

=> T₅₀ = 153

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

half of 12,height,multiplied by 5,base,since it is a right angled triangle

Your on your own.. :/

Answer:

Part A;

- Increases

- Increases

Part B:

- Constant but not 0

- 0

Step-by-step explanation:

Part A:

>> Looking at the speed - time graph of Airplane A, we can see that speed increases from rest at 0 seconds time to time.

>> In graph of airplane B, we can see that distance gradually increases from time at 0 to time at t1. This means that the speed is increasing.

Part B:

>> From time t1 to time t2, we see in airplane A graph that the motion is indicated a horizontal line which means there is constant motion and in constant motion, speed is constant but not zero.

>> In graph of airplane B, we see that the distance between time t1 to time t2 didn't increase. This means that there was no movement. As a result, speed will be 0

Answer:

Paint is measured in gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

In statistics, about 68 percent of values come in one standard deviation of the mean by using a standard normal model.   Approximately 95% of the data were all within two standard deviations from the mean. Almost all of the data are in the range of three standard deviations of the mean (roughly 99.7%).

The 68-95-99.7 law, also known as the Empirical Rule, is based on this evidence. 68 percent of the data values of a naturally distributed data collection of small children with a mean of 8.2 and a standard deviation of 10.8 would be between -2.2 and 19.0.

Within a mean of 14.1 as well as a standard deviation of 8.2, 68 percent of the data values in a usually distributed data collection of older children would be between 5.9 and 22.3.

However, we cannot conclude that the data is naturally distributed since the real actual data vary from the usual normal curve computed above.

Hence, various measures like either goodness of fit or theory testing, would be used for this.

Step-by-step explanation:

ndnndndndjdjdjdfjfjfgnn

Answer:1566

Step-by-step explanation:

Answer:

I can't understand your equation. Please rewrite it.

Step-by-step explanation:

Answer:

b or c

Step-by-step explanation:

hope this helped

Answer:

$33.75

65%

$13.78

Step-by-step explanation:

commission earned = percentage commission x worth of goods sold

4 1/2% x $750

4.5% x $750

0.045 x $750 = $33.75

Percentage mark-up = [(selling price - cost price) / cost price] x 100

[(90.75 - 55) / 55) x 100

= 65%

new income = 6% of $13 + 13

0.06 x 13 = $0.78

$13 +  $0.78 = $13.78

Answers:

First one is 130r

and

Second one is n(r*r)

Answer:

use the firmula

area of triangle =1/2b×h

Step-by-step explanation:

let the ratio be 6x and 5x

Answer:

x<26

Step-by-step explanation:

8(x/4 - 6) < 4

Divide both sides by 8;

8(x/4 - 6)/8 < 4/8

Simplify;

x/4-6<1/2

Add 6 to both sides;

x/4-6+6<1/2+6

Simplify;

x/4-6+6<1/2+6

Simplify

x/4-6+6

=x/4

Simplify;

1/2+6

Convert it into a fraction;

6*2/2+1/2

Since the denominators are equal combine the fractions;

6*2+1/2

6*2+1=13

=13/2

x/4<13/2

Multiply both sides by 4;

4x/4<13*4/2

Simplify 4x/4

4x/4

4/4=1

=x

Simplify 13*4/2

Multiply the numbers:13*4=52

=52/2

Divide the numbers:52/2=26

=26

x<26

HOPE THIS HELPED!!!