Solve the multistep inequality.
4x + 3 < 5x − 6

Answers

Answer 1

Answer:

x > 9

Step-by-step explanation:

Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.

First, subtract 5x and 3 from both sides of the inequality:

4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)

4x - 5x < -6 - 3

-x < -9

Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:

(-x)/-1 < (-9)/-1

x < -9/-1

x > 9

x > 9 is your answer.

~

Answer 2

Answer:

x > 9

Step-by-step explanation:

4x + 3 < 5x − 6

-x < -9

x > 9


Related Questions

What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.

Answers

Answer:

D

Step-by-step explanation:

The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values

[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )

x² = 39 ( take square root of both sides )

x = [tex]\sqrt{39}[/tex] → D

Answer:

D is the answer

Step-by-step explanation:

What are the missing parts that correctly complete the proof?

Given: point P is on the bisector of ABC.

Prove: point P is equidistant from the sides of ABC.

1. BP is the bisector of ABC- given

2. ABP≈CBP- ?

3. BXP and BYP are right angles- given

4. ?- all right angles are congruent

5. BP≈BP- ?

6. BXP≈BYP- ?

7. ?- corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the sides of ABC- definition of equidistant

Answers

Answer:

Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.

This question stumped me too at first. I hope this helps!

The missing parts that correctly complete the proof are;

2) Definition of a bisector

4) ∠BXP ≅ ∠BYP.

5) Reflexive property of congruence.

6) AAS congruence theorem.

7) Corresponding sides of congruent triangles are congruent.

We are given;

Point P is on the bisector of ∠ABC.

2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.

4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.

5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.

6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.

7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.

Read more at; https://brainly.com/question/11357763


Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?

Answers

Answer:

A

Step-by-step explanation:

he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.

Answers

Answer:

P”Q=3PQ

Step-by-step explanation:

2+2+2-2x4x9x2+2+2+4+4x9+1938x3871

Answers

Answer:

7,501,904

I hope this helps!

Answer:

75020220.86 is the answer

A computer downloads a movie at a constant rate. What does the slope represent?

Answers

Answer:

hope it helps you

Step-by-step explanation:

A computer downloads a movie at a constant rate. What does the slope represent? 2000

Download (megabytes)

000-

400

Time (min)

CLEAR

CHECK

Number of minutes for download completion

Downloading speed in megabytes per minute

Unit rate of minutes per megabyte

Unit rate of megabytes per movie

Answer:

Downloading speed in megabytes per minute

Step-by-step explanation:

did on ttm

Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.

The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos

Answers

ml
ml
L.
Your welcome.

PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!

Answers

Answer:

number 1 answer

a saying you have to add all the w's

b saying that you have to add 2w with 2w

c saying it is the simpliyed answer

number 2 answer

a. 2w + 20 + 2w

b. 4w + 20

number 3 we are unable to answer

Step-by-step explanation:

At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?

Answers

140 people received something free. 40 people received a free drink and 100 people received a free bag of popcorn

how do you evaluate cube roots and square roots( in simple words pls)

Answers

Answer:

To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

okay so I believe the answer is 30

step-by-step explanation:

So the area is length times width and a parallelogram is Bh so all you would have to do is multiply 10 by 30

Someone please help me

Answers

To hit the bulls eye the table would read
x=3.5 y=2

I’m stuck lol if you know and can explain this pleas help tysm

Answers

What is the question ?

Answer:

z=32

y=148

x=6

Step-by-step explanation:

z+73+75=180

Combine like terms

z+148=180

Subtract 148 on both sides

z=32

z and y are angles on a line

y+32=180

subtract 32 on both sides

y=148

x+148+26=180

combine like terms

x+174=180

subtract 174 on both sides

x=6

simplify the fraction 15/45​

Answers

Answer:

1/3 or .3333333.....

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

you can divide both the numerator and the denominator by 5

15/5=3

45/5=9

then divide by 3 to both sides

hope this helps :3

if it did pls  mark brainliest

Write a single transformation that maps ABC onto A' B' C'

Answers

9514 1404 393

Answer:

  Either of ...

(x, y) ⇒ (-x, -y)Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

Which of the following equations represent linear functions?

y=4(2x)−3

x2+y=1

y=2x√

y=−2

Answers

Answer:

y = 4(2x) − 3 y = −2

Step-by-step explanation:

Given functions:

y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2

Linear functions have the form of

ax + by + c = 0 or y = mx + b

Therefore functions 1. and 4. are linear functions, the other two aren't

The slope of the line whose equation is 3 x - 2 y = 4 is:

A. 2/3

B. -2

C. 3/2

Answers

Answer:

c 3/2

Step-by-step explanation:

1. There are infinite black and white dots on a plane. Prove that the distance between one black dot and one white dot is one unit.

Answers

Answer:

Between each black and white dot equals 1 unit because there are infinite dots, meaning that each dspace between the dots would equal 1 unit.

Step-by-step explanation:

The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <A, <C
<B, <C,<A
<A, <C, <B
<A, <B, C​

Answers

Answer:

The order of the angles of Δ ABC from smallest to biggest is

∠B < ∠C < ∠A B

Step-by-step explanation:

There is a fact about a triangle

The longest side is opposite to the greatest angleThe shortest side is opposite to the smallest angle

Let us use this fact to solve our question

In Δ ABC

∵ AB = 10 inches

∵ BC = 14 inches

∵ AC = 8 inches

→ Find the longest and shortest sides

BC is the longest side

AC is the shortest side

∵ BC is opposite to ∠A

∠A is the biggest angle in measure

∵ AC is opposite to ∠B

∠B is the smallest angle in measure

The order of the angles of Δ ABC from smallest to biggest is

   ∠B < ∠C < ∠A

What is 5 + 100 + 300,909,786

Answers

Answer:

300909891

Step-by-step explanation:

Answer:

300,909,891

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary (8, 7) and (1, - 2)

Answers

Answer: 11.4

Step-by-step explanation:

You would use the distance formula.

(1−8)^2+(−2−7)^2

=(−7)^2+(−2−7)^2

=49+(−2−7)^2

=49+(−9)^2

=49+81

=130

= 11.4

3/5 is equal to what in decimal form?

Answers

Answer:

.60

Step-by-step explanation:

5(2x-3-4z) Use the distributive property to rewrite the expression above​

Answers

Answer:

= 10x-15-20z

Step-by-step explanation:

5 x 2=10 add the x to the end

5 x 3=15

5 x 4= 20 add the z to the end

Hope this helps (:

Answer= 10x-15-20z

Step by Step Explanation:

5(2x-3-4z) or 5•(2x-3-4z) which means the whole equation inside of the parentheses times 5; answer=10x-15-20z.

A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?

Answers

5 feet and the other side is 4 feet!!

this is the only thing i do not understand about geometry

Answers

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

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

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

The book store manager keeps a chart of the number of books sold each week. How

many books were sold all together in weeks 2 and 4?

Book Store Sales

Week

Number of Books

1

2

3

4

1.412

1,531

2,050

1,785

Answers

Answer:

3315

Step-by-step explanation:

Given the data:

WEEK ________1 _____2______3______4

no of books __1412___1531 ___2050 ___1785

Number of books sold in weeks 2 and week 4

Books sold in week 2 = 1531

Books sold on week 4 = 1785

(1531 + 1784) = 3315

If and represent rational expressions and b0 and y0, what is true of their product? Select three options.

The product is equivalent to .
The product is a rational expression.
The product is equivalent to .
The product is the ratio of ax and by.
The product is equivalent to .

Answers

The product with be rational expression

Answer:

B,C,D

Step-by-step explanation:

i took the test

what is the solution to this equation?



A. x=-4
B. x= 100
C. x= 4
D. x=-100

Answers

Answer:

             D.    x = - 100

Step-by-step explanation:

[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]

Please help!!! Will mark brainliest if you show your work and the answer!

Answers

Answer: Mario

Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong

into the value of 5/6 + (-4/9)-(-2)

Answers

the answer to this is 2.38

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