What are the reasons you would "flip" or reverse the inequality symbol in your answer?

Answers

Answer 1

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.


Related Questions

8.
Fred's dog has been putting on weight and the veterinarian is concerned. At the dog's most recent veterinarian appointment in September the dog weighed 45 pounds. This was a 25% increase since the dog's last veterinarian appointment that was in March. How much did Fred's dog weigh at the veterinarian appointment in March?

Answers

Answer:

Fred's dog weighed 33.75 pounds at the appointment in March

Step-by-step explanation:

First you need to convert 25% to a decimal by moving the percent sign twice to the left and you will get 0.25.

Then you multiply 45 by 0.25 to find 25% of 45.

45 x 0.25= 11.25

After multiplying, you just have to subtract the product (11.25) by 45.

45 - 11.25 = 33.75

This is the same was doing 45-25%

which of the following expressions is equal to 2x2 + 18

Answers

Answer:

22

Step-by-step explanation:

U should first multiply, then add, i.e.

4+18

=22

There are 285 seventh-graders at Greg's school.
If there are 19 more girls than boys, how many seventh-grade boys are there? How many girls are there?

Answers

Answer:

124 boys and 161 girls

Step-by-step explanation:

There are 285 students total. Divide 285 by 2, you get 142.5. Since you can't have half a student, lets round it up to 143. Now, there are 19 more girls than guys, so you would subtract 19 from 143. When you do that, (143-19) you get 124. Then you take 285 and subtract 124. You get 161.

Hope this is correct!

Okay.....let me show my explanation:
285 total students - 19 more girls than boys = 266 boys and girls
266 boys and girls divided by 2 genders = 133 boys and girls
133 boys in total
133 + 19 more girls than boys = 152 girls in total
Check answers:
133 boys + 152 girls = 285 total students
Final answer:
There are 133 seventh grade boys and 152 seventh grade girls

WILL MARK BRAINLIEST Find the value of x in each case: c L, M ∈ KN

Answers

Answer:

x=27°

Step-by-step explanation:

2x+72° = x+<PLM

<PLM = x+72°

3x = x+<PML

<PML = 2x

(x)+(x+72)+(2x)=180°

4x = 108°

x = 27°

c/3 = 30/5 apply the order of operations and show work

Answers

Answer:

c = 18

Step-by-step explanation:

Given

[tex]\frac{c}{3}[/tex] = [tex]\frac{30}{5}[/tex] = 6

Multiply both sides by 3

c = 3 × 6 = 18

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((

Answers

fraction: 9/10
decimal: 0.9
percent: 90%

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

round 163,688 to the nearest hundred thousand

Answers

Answer:

200,000

Step-by-step explanation:

I hope this helped!

200,000 is the answer

The United States Coast Guard assumes the mean weight of passengers in commercial boats is 185 pounds. The previous value was lower, but was raised after a tragic boating accident. The standard deviation of passenger weights is 26.7 pounds. The weights of a random sample of 48 commercial boat passengers were recorded. The sample mean was determined to be 177.6 pounds. Find the probability that a random sample of passengers will have a weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample. (Round your answer to 3 decimal places. Example: If the answer is 0.8976 then you would enter 0.898 in the answer box.) Note: As extreme or more extreme means that we are not only interested in values that are lower than the ones we observed, but also values that are as far away from the mean as ours in the positive direction.

Answers

Answer:

0.973

Step-by-step explanation:

Given the following :

Population mean (μ) = 185

Standard deviation (σ) = 26.7

Sample mean (m) = 177.6

Sample size (n) = 48

P(m > 177.6)

Z = (m - μ) / σ/√n

Z = (177.6 - 185) / (26.7/√48)

Z = −1.920176

P( z > - 1.920) = 1 - p(z < - 1.92)

Using the z table :

1 - p(z < - 1.920) = 1 - 0.0274 = 0.9726

= 0.973

A statistician believes that women received more bachelor's degrees than men did last year. To test this claim, she selects colleges and universities randomly and compares the number of bachelor's degrees awarded to men and women. Suppose that data were collected for a random sample of 7 colleges and universities, where each difference is calculated by subtracting the number of degrees earned by men from the number of degrees earned by women. Assume that the number of degrees is normally distributed. The statistician uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈2.968, which has 6 degrees of freedom, determine the range that contains the p-value.

Answers

Answer:

0.0125

Step-by-step explanation:

The P-value can be calculated by using excel function T.DIST.RT(2.968,6).

Right tail is used in the function because our alternative hypothesis has greater than sign (>) whereas 2.968 represent test statistic value and 6 represents degree of freedom. The resultant p-value from excel function is 0.0125.

Or if we use t- distribution right tail area table, we see that 6 for degree of freedom the value in table is there are two value 2.44691 and 3.14627 which corresponds to p=0.025 and p=0.01. As 2.44691 is smaller than 2.968 so we take p=0.01 against 3.14627. Thus, in this scenario p-value would be 0.01.

What is the volume?

7 cm
5 cm
8 cm

cubic centimeters

Answers

Answer:

280 cm

or 280cm^2

Step-by-step explanation:

Answer: 280 cm^3

Step-by-step explanation: Multiply 7 x 5 x 8 = 280

there’s the graph so yeah

Answers

Answer:

what

Step-by-step explanation:

the answer should be 5 gallons per minute

Jina bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $400 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 8% per year. The total finance charges for one year were $275. How much did each computer cost before finance charges?

Answers

Answer:

2100

Step-by-step explanation:

The laptop costs $300 less than the desktop, so...

let x = cost of laptop

then x+300 = cost of desktop

The total finance charge of $252 is from 7% of the cost of the laptop and 6% of the cost of the desktop:

252+=+.07%28x%29+%2B+.06%28x%2B300%29

252+=+.07x+%2B+.06x+%2B+18

234+=+.13x

1800+=+x

The cost of the laptop is x = $1800;

the cost of the desktop is x+300 = $2100

Use rounding to estimate the product. Is your estimate an underestimate or an overestimate? 8 × 9.82

Answers

Answer:

Over

Step-by-step explanation:

on a mountain the temperature decreases 18 degrees fahrenheit every 500 ft.what integer represents the change in temperature at 20,000 feet?

Answers

Step-by-step explanation:

first you double the temperature change and the hight of change being 18f and 500ft

this makes 36f and 1000ft

you then divide 20000 by 1000 witch is slightly easyer than 20000 divided by 500

this anwser is 20

then do 36-²⁰ witch you have to work out since i can do that in my head right now

Plato please help me

Answers

the answer is (( D ))

Find p in terms of m if = r, r = p, p ≠0, and m > 0

Answers

Usually when we go to school I don’t think so ima was a time to be rude and I don’t think 7

Please HELPPPPPPPPPPPPPPPPPP
8x-6≥58

Answers

Answer:

x=8 but with the less than equal to sign

Step-by-step explanation:

you would add 6 to the -6 then add it to the 58. The 6 cancel so then add the 58 and the 6 when you do that you get 64 so now you are left with 8x with same sign and 64 now you would divide both side by 8 and you should get x less than or equal to 8

Answer: 8x -6 < 58

Step-by-step explanation:

8x -6 = -48 and -48 is less then 58 so it’s less than 58!

solve the equation
5x+4y=58xy.........
3x+7y=67xy.........

Answers

Answer:

x = 6, Y =7

Step-by-step explanation:

if you need explanation please ask in the comments .....I will edit the answer

Bridgett makes and sells children’s hair bows.

Bridgett’s expenses were $14.74 for supplies.
Bridget sold 12 bows for $4 each.

What was Bridgett’s profit?

Answers

Answer: $33.26

Step-by-step explanation:

12 x 4= 48 (amount of money made from sales)

48 - $14.74 = $33.26

So she made $33.26 in profits

Oliver is playing a game with his friends. Each player gets
7 pieces. In all, there are 70 pieces on the game board.
Which number sentence can be used to find the number
of people playing the game?

Help please

Answers

C because if if there are 70 pieces already in they gave him seven pieces that would mean they are taking out of the 70 pieces that are all in total to give to him seven pieces so it would be C

Answer: 70/7

Step-by-step explanation: If each player gets 7 pieces, and there are 70 pieces in total, you would divide the amount of pieces each player gets from the actual pieces.

Evaluate the expression when y=2
y² – 5y—6

Answers

4-10y-6

(-10y-2)

thsi the answer ur looking for?

if 57.75 is after a 30% taken off then what was the original price

Answers

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

Write 600 as the product of prime factors give your answer in index

Answers

Answer:

5²×2³×3

Step-by-step explanation:

600=5×5×2×3×2×2

In index form this would be 5²×2³×3

Help me out please
I need it done by Monday

Answers

Answer:

1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation:

Answer: 1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation:

Which inequality represents the values of x that ensure triangle ABC exists?

A.
0.5 < x < 7.5
B.
3.0 < x < 7.5
C.
-0.5 < x < 7.5
D.
-3.0 < x < 7.5

Answers

It's A 0.5 &it; x &it; 7.5

Answer:

A. 0.5 < x < 7.5

Step-by-step explanation:

What is the mixed number in decimal form? 4 23/100 *
Ughhh

Answers

Answer:

4.23

Step-by-step explanation:

First, you need to write this mixed number into an improper fraction, which would be 423/100. Then all you need to do is divide 423 by 100 to get 4.23.

From my sis: Round each mixed number to the nearest whole number then estimate the difference.
8 9/11-8 3/8
A: 10
B: 9
C: 11
D: 8

Answers

Answer:

Step-by-step explanation: a

PLEASE HELP! GIVING BRAINLIEST!
You have a piece of canvas that you want to paint. You have enough paint to cover
252 square inches. You know you want one side to be 14 inches. How long should
the other side be if you want to use up all the paint?
show your work

Answers

Answer:

h = 18 in.

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

          b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

In a city with one hundred taxis,1 is blue, and 99 are green. A witness observes a hit-and-run by a taxi at night and recalls that the taxi was blue, so the police arrest the blue taxi driver who was on duty that night.The driver pro claims his in no cence and hires you to defend him in court. You hire a scientist to test the witness' ability to distinguish blue and green taxi's under conditions similar to the night of the accident.The data suggests that the witness sees blue cars as blue 99% of the time,and green cars as blue 2% of the time.

Required:
Use this information to perform an analysis where you show that there is reasonable doubt about your clients' guilt

Answers

Answer:

the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.

Step-by-step explanation:

We are given;

P(car is blue) = 1% = 0.01

P(car is green) = 99% = 0.99

P(witness said blue | car is blue) = 99% = 0.99

P(witness said blue | car is green) = 2% = 0.02

We will solve this by using Bayes’ formula for inverting conditional probabilities:

Thus;

P(car is blue | witness said blue) =

[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]

Plugging in the relevant values gives;

(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333

Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%

F(x) = x^2. What is g(x)

Answers

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

f(x) is reflected about the x-axis

Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

- f(x) is translated 4 units down

Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

g(x) = - x² - 4

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