Solve the inequalities and compare.
oso
a. Solve 2x + 6 < 10.
b. Solve - 2x + 22 < 18.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

1 Subtract 66 from both sides.

2x=10-6

2x=10−6

2 Simplify  10-610−6  to  44.

2x=4

2x=4

3 Divide both sides by 22.

x=\frac{4}{2}

x=  

2

4

​  

 

4 Simplify  \frac{4}{2}  

2

4

​  

  to  22.

x=2

x=2

Done

2x+22=18

We move all terms to the left:

2x+22-(18)=0

We add all the numbers together, and all the variables

2x+4=0

We move all terms containing x to the left, all other terms to the right

2x=-4

x=-4/2

x=-2


Related Questions

Math is so hard for school

Answers

Answer:

yeah ikr

Step-by-step explanation:

Answer: What’s the math problem

Step-by-step explanation:

Which model below represents a fraction that is equivalent to
4
8

Answers

Answer:

4/8 is one half

Step-by-step explanation:

3. Which rule best describes the last three numbers shown in the pattern? 10, 12, 9, 11​

Answers

Answer:

it goes by 2 two times then subtracts 3 then again

Step-by-step explanation:

10,12,9,11,8,10,7

Find the total amount in an account after 8 years if the
deposit was $20,000 and the simple interest rate was
2%.

Answers

Answer:

Step-by-step explanation:

The value of a simple interest account is

A=P(1+rt), A=present amount, P=principle, r=rate, t=time

A=20000(1+0.02(8))

A=20000(1.16)

A=$23200.00


A right cubic prism has edges of 2 1/2 inches. How
many cubes with side lengths of inches would
be needed to fill the prism?
A. 125 cubes
B. 37.5 cubes
C. 18.75 cubes
D. 15.625 cubes

Answers

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.  

In a cafeteria, 1 10 of the students are eating salads , and 2 5 are eating sandwiches. There are 20 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?

Answers

Answer:Number of students eating lunches other than salads or sandwiches= 10

Step-by-step explanation:

Number of students in the cafeteria=20

Number of students eating salads=1/10 X 20= 2

Number of students eating sandwiches= 2/5 x 20 = 8

Number of students eating lunches other than salads or sandwiches=

Number of students in the cafeteria -(

Number of students eating salads +Number of students eating sandwiches)

=20-(2+8)

=20-10

=10 students.

About 8 out of 15 homes have a dog as a pet. On a street with 165 homes, how many would you expect to have a dog for pets?
Please explain how you got your answer.

Answers

Answer:

88

Step-by-step explanation:

create a proportion:

8/15 = x/165

cross-multiply:

15x = 1320

x = 88

What is the area of the triangle?
4
:10
2
units

Answers

Answer:

Your answer is 20

Step-by-step explanation:

as the formula 1/2*4*10=20.

hope it help you if yes then please make me the brainiest.

Thank you

parshv

carmen ha visto la television durante cada dia de la semana pasada y se registraron los siguientes numeros de horas 3,2,3,3,2,6 y 3 en promedio ¿cuantas horas al dia esta Carmen frente al televisor?

Answers

Hola I speak English so I can’t help you sorry

This partial circle has a radius of 11 inches.

What is the area of this figure?

Use 3.14 Pi.


A circle with a quadrant missing. The length of one side of the quadrant is 11 inches.

Answers

Answer:

284.96

Step-by-step explanation:

Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there
were 175 adult tickets sold and 103 child tickets sold. There was a total of $13796 in ticket sales. The
Jones family bought two adult tickets and two child tickets and spent a total of $184. How much does an
adult ticket cost and how much does a child ticket cost?

Answers

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

     y = price of child ticket

(1)    175x + 103y = 13796               (2)    2x + 2y = 184

                                                                 x + y = 92

                                                                       y = 92 - x

      175x + 103(92 - x) = 13796

      175x + 9476 - 103x = 13796

       72x = 4320

           x = 60                                                  y = 92 - 60

                                                                        y = 32

Simplify -18b^-4 Pliz help, I don’t understand math, especially Algebra II

Answers

Answer:

B. -[tex]\frac{18}{b^4}[/tex]

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest

Answer:

b

Step-by-step explanation:

14. Given that 2a = 8b, find the ratio of a
to b in simplest form.

Answers

Answer:

1;4

Step-by-step explanation:

2a=8b/2

1a=4b

you cant simplify any more so this is the answer

Please help me please please ASAP ASAP please ASAP

Answers

Answer:

5Step-by-step explanation:

3y - 1 = 28 / 2

3y - 1 = 14

3y = 14 + 1

3y = 15

y = 15 / 3

y = 5

Hope that helps!

The answer is 5
................................

Solve: 1+^3√5x=3

1. Isolate the radical. ^3√5x=2

2. Raise each side of the equation to the same power
as the index of the radical to eliminate the radical.

(3√5x)^3 = (2)^3

Answers

Answer: it’s D

Step-by-step explanation:

Answer:

x= 8/5 or D

Step-by-step explanation:

edg 2021

In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,

which law would you use? Laws of Sines or Laws of Cosines? and why?

Answers

Answer:

We would use the Law of Cosines to solve the question.

m∠ W = 121.8°

Step-by-step explanation:

In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,

which law would you use?

The Law we would use to find find m∠W is the Law of cosines, this is because in the question above we are given 3 known sides of a triangle and we are asked to find an unknown angle.

Law of cosines when we are to find an unknown angle =

m∠ W = arc cos [u² + v² - w²/ 2uv]

m∠ W = arccos [ 20² + 47² - 60²/ 2 × 20 × 47]

m∠ W = 121.81159°

Approximately = 121.8°

Select the correct answer. Consider these functions: What is the value of f(g(-2))? A. -28 B. -12 C. 12 D. 146

Answers

Answer:

c

Step-by-step explanation:

(-7, y) and (-2,-4); m = -6/5 find the slope​

Answers

Answer:

y = 2

Step-by-step explanation:

Use the slope formula so y2-y1/x2-x1 = -6/5

so -4 - y / -2 + 7 = -6/5 so y has to be 2 so that -4-2=-6

A dilation has center (0,0). Find the image of the point L(6-8) for the scale factor 7.

Answers

Answer:

D (42,-56)

Step-by-step explanation:

Scale factor means you multiply, so you multiply (6,-8) by 7.

6 x 7 is 42 and 7 x -8 is -56. So your answer is D (42,-56).  


Can someone help me and show how to do it

Answers

Answer:

Step-by-step explanation:25

Calculating area of rectangle with a diagonal of 5m height of 3m and length of 4m

Answers

Answer:

area = 12 m²

Step-by-step explanation:

area = L x W

area = 4 x 3 = 12 m²

Answer:

12m ²

Step-by-step explanation:

Area of rectangle = l × b

= 4m × 3m

= 12m²

You deposit $400 in an account. The account earns $18 simple interest in 9 months.What is the annual interest rate?​

Answers

Use the formula,

I = Prt

P = Principal amount = 400

I = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r = 0.06

so the annual interest rate is 0.06 or 6%

What is the answer:
15x+10= -20x+150

Answers

Answer: 1

5+10=−20+1501+10−10=−20+150−10

Subtract the numbers

15=−20+140

15=−20+14015+20=−20+140+20

Combine like terms

35=140

35=1403535=14035

=4

helpppppppppppp WILL MARK BRAINLIST

Answers

Answer: 3

Step-by-step explanation:

At x = -2, y = 3

The plot below shows the length of each of the 7 bulletin boards hanging in the fifth grade hallway. All measurements are rounded to the nearest 1/2 fraction meter.If the 3 longest bulletin boards were side by side, what would their total length be?

Answers

Answer:

[tex]Total = 11m[/tex]

Step-by-step explanation:

Given

See attachment for dot plot

Required

The length of the 3 longest boards

From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2

The frequency is gotten by counting the total dots on each length.

So, the total is:

[tex]Total = 4 m* 1 + 3\frac{1}{2} m* 2[/tex]

[tex]Total = 4m + 7m[/tex]

[tex]Total = 11m[/tex]

What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?

12
15
17
18
Question 2 (Fill-In-The-Blank Worth 1 points)
(06.04 LC)

If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)

Answer for Blank 1:

Question 3(Multiple Choice Worth 1 points)
(06.07 HC)

Which expression is equivalent to 12x − 8x + 3 and why?

3 + 4x, because (12x − 8x) + 3 = 4x + 3 = 3 + 4x
7x, because 12x − 8x + 3 = 4x + 3 = 7x
12x − 5, because 12x − (8x − 3) = 12x − 5
x, because 12x − 8x + 3 = 12x − 11x = x
Question 4(Multiple Choice Worth 1 points)
(06.07 MC)

Which expressions are equivalent to 3(x + 3y + 2x − y )?

3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Question 5(Multiple Choice Worth 1 points)
(06.04 MC)

What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?

8.2
9.2
18.6
19.6
Question 6(Multiple Choice Worth 1 points)
(06.06 LC)

Which of these shows 8 + 3m rewritten using the commutative property of addition?

8m + 3
8 − 3m
3m − 8
3m + 8
Question 7(Multiple Choice Worth 1 points)
(06.02 LC)

Which of these is the algebraic expression for "5 times the sum of 2 and y?"

5 ⋅ 2 + y
2 + 5 ⋅ y
2(5 + y)
5(2 + y)
Question 8(Multiple Choice Worth 1 points)
(06.06 MC)

The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:

Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x

In which step did the student first make an error and what is the correct step?

Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Question 9(Multiple Choice Worth 1 points)
(06.03 MC)

Which statement best describes the expression 3 + y ÷ 2?

The quotient of 2 and the sum of 3 and y
The quotient of the sum of 3 and y, and 2
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
Question 10(Multiple Choice Worth 1 points)
(06.01 MC)

What is the value of the expression 22 + 62 ÷ 22?

10
13
16
36
Question 11 (Fill-In-The-Blank Worth 1 points)
(06.01 LC)

34 + 2 ⋅ 5 = ____. (Input whole numbers only.)

Numerical Answers Expected!

Answer for Blank 1:

Question 12(Multiple Choice Worth 1 points)
(06.06 LC)

Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?

Distributive property
Associative property
Commutative property of multiplication
Commutative property of addition
Question 13(Multiple Choice Worth 1 points)
(06.02 LC)

Which statement best describes the expression 4y ÷ 9?

9 divided by 4 times y
9 times y divided by 4
4 times y divided by 9
4 divided by 9 times y
Question 14(Multiple Choice Worth 1 points)
(06.07 LC)

Which expression is equal to 5p?

p + p + p + p + p
4p + 1
p + 5
p3 + p2
Question 15(Multiple Choice Worth 1 points)
(06.04 MC)

The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 5 unit and width fraction 1 over 2 unit?

fraction 1 and 2 over 5 units
fraction 1 and 1 over 5 units
fraction 4 over 7 unit
fraction 2 over 7 unit
Question 16(Multiple Choice Worth 1 points)
(06.03 MC)

Which expression shows a sum of three terms?

3x
3 + x
x3
x + 3 + x
Question 17(Multiple Choice Worth 1 points)
(06.02 MC)

Which of these is the algebraic expression for "4 less than the product of 3 and some number?"

4m − 3
3m − 4
3 − 4m
4 − 3m
Question 18(Multiple Choice Worth 1 points)
(06.03 LC)

What is the coefficient of y in the expression 2 ⋅ 4 + 3y?

2
3
7
8

Answers

(a) The value of 9 + (1/2) /4 * 48

We have:

[tex]9 + (1/2) /4 * 48[/tex]

Evaluate the quotients

[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]

Evaluate the products

[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]

[tex]9 + (1/2) /4 * 48 = 15[/tex]

Hence, the value of the expression 9 + (1/2) /4 * 48 is 15

(b) If x = 2.7, 5x =

The value of x is given as 2.7.

So, we have:

[tex]5x = 5 * 2.7[/tex]

[tex]5x = 13.5[/tex]

Hence, the value of 5x is 13.5

(c) Equivalent expression of 12x - 8x + 3

The expression is given as: 12x - 8x + 3

So, we have:

12x - 8x + 3 = 4x + 3

Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3

(d) Equivalent expression of 3(x + 3y + 2x - y)

The expression is given as: 3(x + 3y + 2x - y)

So, we have:

3(x + 3y + 2x - y) = 3(3x + 2y)

Also, we have:

3(x + 3y + 2x - y) = 9x + 6y

Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y

(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3

We have: 1/2x^3 + 5.2y

So, the expression becomes

[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]

[tex]1/2x^3 + 5.2y = 19.6[/tex]

Hence, the value of 1/2x^3 + 5.2y is 19.6

(f) The commutative property of addition of 8 + 3m

The commutative property of addition of 8 + 3m is 3m + 8

(g) The algebraic expression for "5 times the sum of 2 and y?

The algebraic expression is 5(2 + y)

(h) The error of the student

The student's first error is in step 2: 4(2) + 4x(2)

(i) The statement that describes the expression 3 + y ÷ 2

The correct statement is (d) the sum of 3 and the quotient of y and 2

(j) The value of an expression

We have:

22 + 62 ÷ 22

Evaluate

22 + 62 ÷ 22 = 24.8

Hence, the value of the expression 22 + 62 ÷ 22 is 24.8

(k) Complete the blanks

We have: 34 + 2 ⋅ 5 = ____

Represent the blank with x

34 + 2 ⋅ 5 = x

Evaluate

44 = x

Hence, the blank is 44

(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?

The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the  (c) commutative property of multiplication

(m) The statement that best describes the expression 4y ÷ 9

The statement is: (c) 4 times y divided by 9

(n) The expression is equal to 5p

The expression is equal to 5p is (a) p + p + p + p + p

(o) The coefficient of y in the expression 2 ⋅ 4 + 3y

The coefficient of y in the expression is 3

Read more about equivalent expressions at:

https://brainly.com/question/2972832

a new youth sports center is being built, the perimeter of the rectangle playing field is 302 yards. the length of the field is 2 yards less than double the width. what are the dimensions of the playing field?

Answers

Answer:

can we do zoo mmmmmmm...

14 = p + 19 I need some help with this one?

Answers

Answer:

p=-5

Step-by-step explanation:

have a lovely day!!

P= 15

That is bc if +19 has a + u make it - so then u subtract.

So 19-14=15 to find the p.

P=15

If the 19 was -19 instead of +19 then u would do.

19+14= 43. Which would then be.

P=43.

Hope this helps!

A compact disc player costs £50 plus 17 1/2 % VAT.

Calculate the total cost of the compact disc player.

Answers

Answer:

£58.75

Step-by-step explanation:

Given data

Cost = £50

VAT= 17 1/2%= 17.5%

Let us find the amount of the VAT

=17.5/100*50

=0.175*50

= £8.75

Hence the total cost of the compact disk is

=50+ 8.75

=£58.75

Find the missing measurement using the pathagreham theorem. Show steps​

Answers

a^2+b^2=c^2

a=15

b=25

15^2=225

25^2=625

225+b^2=625

b^2=400

b=20

Step-by-step explanation:

you can use right angle triangle to do the calculation

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