what does it mean to be a solution to an inequality

Answers

Answer 1

Answer:

Rule 1. Adding/subtracting the same number on both sides.

   Example: The inequality x-2>5 has the same answer as the inequality x > 7.

Rule 2. Switching sides and changing the orientation of the inequality sign.

   Example: The inequality 5-x> 4 has the same solutions as the inequality 4 < 5 - x.

Done ✔


Related Questions

please help i've benn stuck on these questions for hours and it's due today

Answers

Answer:

1st one i think is B

the 2nd i think is C

20.B
22.D.
23.D.
24.C.

What is 5x1=??? :) This is SOO hard!:( I will give hmmmm 96 point!

Answers

Answer:

5

Step-by-step explanation:

-6 + w/4 = -2 simplified as much as possible

Answers

Answer:

sln

-6+w/4=-2

w/4=-2+6

w/4=4

w=4x4

w=16

The figure below consists of a square and a right triangle. Find the missing length x.

Answers

Use Pythagorean theorem.
9^2+x^2=15^2
81+x^2=225
x^2=144
x=12

What's XY? Base A is 20 and base B is 36

Answers

Answer:

Step-by-step explanation:

c

Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.

Answers

Answer:

24.5%

Step-by-step explanation:

Simple Interest = (principal×rate×time)÷100. *Brackets First*

Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).

Plug in values: rate = (100×37975) ÷ (31000×5).

The result is 24.5%.

Solve for x:
X х+ 9 = 5x — 11

Answers

Answer:

5

Step-by-step explanation:

   x+9-(5*x-11)=0

  -4x + 20  =   -4 • (x - 5)

  -4   =  0

x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

A B C D ..........zzz

Answers

Answer:

QA = DU

yakno with the squiggly line over the equals sign

The cost of $500,000 worth of 15-year term life insurance for Audrey is
$28.44 per month. If Audrey's employer covers 75% of this cost, how much is
deducted from Audrey's gross income per year for life insurance?
A. $21.33
B. $85.32
C. $341.28
D. $255.96
SUBMIT

Answers

b. $85.32

~ hope this helps!
B is the correct answer

A drawing has a scale of 1 : 40
On the drawing, a kitchen is a rectangle measuring 14cm by 22cm.
A bedroom has an actual area of 500,000 cm ^2.
How much smaller,in cm^2 is the kitchen than the bedroom ?

Answers

Answer:

do you maybe have a picture to go with this??

Helpppppppppppppppp

Answers

Answer:

∠QRT = 42°

Step-by-step explanation:

arc QT + 2(∠QPT = 2(42°) = 84°

arc QT = arc TQ

arc TQ = 2(∠QRT)

84° = 2(∠QRT)

∠QRT = 42°

use long division to find the value of 1,875÷15​

Answers

Answer:

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

Suppose that you live in a community that has 125,000 households. Among these households, 50,000 have traditional landline telephones while the remaining 75,000 only use cellular and / or VOIP telephones. We are going to select 100 households from your community at random without replacement. The first household selected does not have a traditional landline telephone. What is the probability that the second household selected will have a traditional landline telephone

Answers

Answer:

0.4 = 40% probability that the second household selected will have a traditional landline telephone

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that:

125,000 households

50,000 have traditional landlines telephones.

The first household selected does not have a traditional landline telephone.

Now we have 125000 - 1 = 124,999 households, and 50,000 have traditional landlines telephones.

What is the probability that the second household selected will have a traditional landline telephone

[tex]p = \frac{50000}{124999} = 0.4[/tex]

0.4 = 40% probability that the second household selected will have a traditional landline telephone

Please can someone answer this I don’t get it!!! 5 points and Brainly:)

Answers

Answer:

the answer will be 39cm yes

A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup of 2% milk, steamed, and 0.5 cup of whipped cream. The low-fat latte contains a shot of espresso, 1.25 cups of skim milk, frothed, and no whipped cream. The plane begins its journey with 100 shots of espresso, 60 cups of skim milk, 60 cups of 2% milk, and 30 cups of whipped cream. The airline makes a profit of $1.58 on each regular latte and $1.65 on each low-fat latte. Assuming that all lattes that are made can be sold, what would be the ideal mix of regular and low-fat lattes to maximize the profit for the airline?

Answers

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

Use the triangle below to answer the following questions:

Answers

I know only how to solve one, using the Pythagorean theorem, you have to square 45
Which is
45^2 - 25^2 = 1400
Now you multiply 37.42 x 37.42 which gets you 1400.2564


I’m in 8th grade by the way

Corrine earned $67.25 waiting tables, plus another $45.45 in tips. How much did she earn altogether?

Answers

Answer:

$112.70

Step-by-step explanation:

$67.25 + $45.45 = $112.70

What is the interquartile in the dot plot for Mrs. Orlando’s daycare? i need thisssss!!

Answers

11, by subtracting 17-6

can you help me on a papper

Answers

Answer:what do you need help with

Step-by-step explanation:

what do you need help with?
i might be able to help!!

if the mean of the numbers 2x,3x,4x and 3x is 12,then the sum of the numbers is?
a)4
b)12
c)48
d)80​

Answers

Answer:

C. 48.

Step-by-step explanation:

If the mean is 12, then 12 must be 2x, 3x, 4x, and 3x divided by 4.

      --> [tex]\frac{2x+3x+4x+3x}{4}=12[/tex]

      --> [tex]\frac{12x}{4}=12[/tex]

      --> [tex]\\3x=12[/tex]

      --> x=4

Add: 2x+3x+4x+3x=8+12+16+12=48

Racial dimorphism mesning

Answers

Answer:

Facial sexual dimorphism emerges at puberty: as the size and shape of the male and female faces increase with age, faces begin to show different secondary sexual characteristics (i.e., masculine or feminine).

Dncnfufhcbdjskxbcdjdkcbxbsjsbccbx

What is the area of the triangle?
6
2
3

Answers

Answer:

6

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

2² + b² = 3²

4 + b² = 9

5 = b²

2.2 ≈ b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(2 x 2.2)

1/2(4.4)

2.2

Calculate the area of the bigger triangle:

We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.

1/2(bxh)

1/2(2 x 3.8)

1/2(7.6)

3.8

Add both areas to find the area of the largest triangle:

3.8 + 2.2 = 6

The number of siblings a student has and the grades they have in math class.
A.
Positive correlation
B.
Negative correlation
C.
No correlation

Answers

It has no correlation so C.

Ive been staring at this for a long time now, pls help

Answers

Answer:

9

Step-by-step explanation:

I replaced the missing variable with x and solved the equation from there.

Answer:

10.75

Step-by-step explanation:

i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5

PHEWW

M M m Given the following triangle with the following angle values, solve for X,

Answers

Answer: x = 32

Step-by-step explanation:

Triangle angle sum theory states that the interior angles of a triangle sum to 180. Add all three angles up and set equal to 180 to solve.

33+ 37 + (3x+14) = 180. Combine like terms

84 +3x = 180. Subtract 84 from both sides.

3x = 96. Divide both sides by 3.

X = 32

Seven times the difference of a number and 7

Answers

Answer:

7 (x-7) or 7x-49

7x-49 would be the answer

Write the equation that is parallel to the question: y = -2/3x - 5 and goes through point: (6,-1)

Answers

Answer:

y = -2/3x + 3

Step-by-step explanation:

Parallel lines have the same slope so we already know

y = -2/3x + b

Solve for b using the point given

-1=-2/3(6)+b

-1+4=b

b=3

y = -2/3x + 3

lol please help i literally cannot do math to save my life

Answers

Answer:

[tex]\displaystyle d \approx 3.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian Plane

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(-2, 1)

Point B(1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                        [tex]\displaystyle d = \sqrt{(1+2)^2+(-1-1)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract:                                        [tex]\displaystyle d = \sqrt{(3)^2+(-2)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{9+4}[/tex][Distance] [√Radical] Add:                                                                             [tex]\displaystyle d = \sqrt{13}[/tex][Distance] [√Radical] Evaluate:                                                                      [tex]\displaystyle d = 3.60555127546[/tex][Distance] Round:                                                                                            [tex]\displaystyle d \approx 3.6[/tex]

Answer:

3.6 units

Step-by-step explanation:

Point A --> [tex]x_{1} \\[/tex] = -2 , [tex]y_{1}[/tex] = 1

Point B --> [tex]x_{2}[/tex] = 1   , [tex]y_{2}[/tex] = -1

AB =

[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 } \\\sqrt{[1 - (-2)]^2 + [(-1) - 1]^2} \\\sqrt{3^2 + (-2)^2} \\\sqrt{9 + 4} \\ \sqrt{13} \\3.605[/tex]

distance between AB can be rounded to 3.6 units

Hope it helps.

(DUE TODAY) Paul wants to build this model with clay, but he does not know how much clay to purchase. Draw a line to separate the model into two rectangular prisms. Then write an expression for the volume of the model. What is the volume?

Answers

Answer:

first draw a horizontal line through the middle, (you prob know where)

top prism: 5x4x5

bottom prism: 9x5x3

volume: 5x4x5+ 9x5x3

=235cm²

Step-by-step explanation:

There you go, hope this helps!

what is the shape and direction of f(x)=(x+7)(x+11)

Answers

Given:

The function is

[tex]f(x)=(x+7)(x+11)[/tex]

To find:

The shape and direction of the given function.

Solution:

We have,

[tex]f(x)=(x+7)(x+11)[/tex]

It can be written as

[tex]f(x)=x^2+11x+7x+77[/tex]

[tex]f(x)=x^2+18x+77[/tex]

It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.

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