​3x-2≤5(x+2) . show all steps please.

Answers

Answer 1

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

Answer 2

Answer:

Step-by-step explanation:

You have to first use the distributive property of 5(x+2)

That would be 5x+10.

So it would be all together

[tex]3x-2\leq 5x+2[/tex]

to see if it is true

x=2

6-2

[tex]6-2\leq 10+2\\4\leq 12[/tex]

it is true


Related Questions

can somebody explain an easier way to do it

Answers

Answer:

4 to 1

Step-by-step explanation:

For herself alone, she uses a ratio of

8 tablespoons of cocoa to 2 tablespoons of sugar

The ratio is

8 to 2

We divide both numbers by 2 to get the simplified ratio

4 to 1

For two, she doubles the recipe, so she uses the ratio

16 tablespoons of cocoa to 4 tablespoons of sugar

The ratio is

16 to 4

We divide both numbers by 4 to get the simplified ratio

4 to 1

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend. A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68. Which statement describes the amounts the team charged for wrapping gifts? The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow. The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow. The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow. The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.

Answers

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

Gift-Wrapping Fundraiser

Plain Gifts Wrapped    Decorative Gifts Wrapped   Total Raised in dollars

10                                  9                                             47

25                                 12                                            86

16                                  12                                            68

Let's define:

x: $ charged per gift for Plain Gifts Wrapped

y:  $ charged per gift for Decorative Gifts Wrapped  

From 2nd 3rd row:

25x + 12y = 86

16x + 12y = 68

Subtracting them:

25x + 12y - (16x + 12y) = 86 - 68

9x =  18

x = 18/9 = 2

Replacing x = 2 into the first equation:

25(2) + 12y = 86

12y = 86 - 50

12y = 36

y = 36/12 = 3

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

B on edg

If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)

Answers

The equation for slope is y=mx+b. slope is m. 2 is the slope. so you know the m part of the equation is 2. just by eliminating the answers that don’t have 2 as the slope, A is your answer.

18 ÷ x = -2 what does x equal

Answers

Answer: x = -9

Step-by-step explanation:

18/x = -2

18x = -2x

x = -18/2 = -9

Jordan was looking for a cheap cell phone plan.
Plan A charges $10 monthly fee plus $0.25 per text
Plan B charges $6 monthly fee plus $0.35 per text
If she wants the plan for 5 months and sends 100 texts which plan would be the cheapest? Explain

Answers

Answer: Plan B

Step-by-step explanation:

First you would find out how much they have to pay the monthly fee in 5 months. Plan A pays $50 in 5 months and Plan B pays $30 in 5 months

Then you find he amount of money that they need to pay for a hundred texts. Plan A spends $25 and Plan B spends $35 .

Then you add the numbers together and Plan A you would pay $75 and Plan B you would spend $65

6. Describe the graph of the function.
y=5 • 2*
A The graph is an absolute value function with vertex (0,5).
B The graph is of exponential growth.
C The graph is of exponential decay.
D The graph is a parabola with vertex (0,5).

Answers

the correct answer is. It is an exponential equation, that is starting at 5 and increasing by a factor of 2.

Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus 5

Answers

Answer:

y=3x+5

Step-by-step explanation:

y=y=y=x+x+x+5 is what I think you were saying. In that case:

y=x+x+x+5

y=3x+5

The equation of the line is y=3x+5

The equation of the given line is y = 2/3 x - 2

The standard form of the equation of a line is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

from the diagram attached, we can use the coordinate (0, -2) and (3, 0)

Get the slope

Slope "m" = 0-(-2)/3-0

m = 2/3

Since the line cuts the y-axis at y = -2, hence the y-intercept is b = -2

Substitute the given parameters into the equation:

y = mx + b

y = 2/3 x + (-2)

y = 2/3 x - 2

Hence the equation of the given line is y = 2/3 x - 2

Learn more here: https://brainly.com/question/17003809

radical expression of 4d 3/8

Answers

Answer:

[tex] \boxed{4 \sqrt[8]{ {d}^{3} } } [/tex]

Step-by-step explanation:

[tex] = > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} } [/tex]

will mark bianleast plz plz
Which is the best description of the transformation shown?


A pentagon is translated 4 units to the right.

A pentagon is translated 9 units to the right.

A pentagon is reflected across the x-axis.

A pentagon is reflected across the y-axis.

Answers

Answer:

A pentagon is reflected across the y-axis

A pentagon is reflected across the y-axis

What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?

Answers

Answer:

36

Step-by-step explanation:

m^2 -2mn + n^2

Let m = -2 and n=4

(-2)^2 -2(-2)(4) + 4^2

4 +16 +16

36

Answer:

Step-by-step explanation:

m =  -2   ; n =4

m² - 2mn + n² = (-2)² - 2*(-2)*4 + 4²

                       = 4 + 16 + 16

                       = 36

Hint: (-2)² = -2 * -2 = 4

Can u please help me.

Answers

Answer: X60 degrees Y40 degrees

Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40

What is the measure of X ?

Answers

Answer:

38

Step-by-step explanation:

Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!

Answer: 38°

Step-by-step explanation:

180-88 = 92°

180-92-50= 38°

HELP!
Find the exact area and circumference of a circle whose diameter is 8 meters.
Show your work!!

Answers

Answers:

Area: 50.24m^2

Circumference: 25.12 m

please see the attached picture for full solution

hope it helps

good luck on your assignment

17. Five time as many girls as boys went to the dance. The total of 120 students went to

the dance.

a. If b represents the number of boys and g represents the number of girls, use

the numbers, variables, and symbols shown below to construct a system of

equations to model this situation. Some of the numbers, variables, and

operations will be used more than once and some will not be used at all.

b

g

+

10

3

4

1

5

120

2.

Answers

Answer:

[tex]b+g=120[/tex]

[tex]b+5b=120[/tex]

Step-by-step explanation:

let b be the number of boys went to the dance

let g be the number of girls went to the dance

Total number of students went to the dance are 120.

Which means the boys and girls collectively are 120 which forms the following equation.

[tex]b+g=120[/tex]

The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:

[tex]g=5b\\[/tex]

Insert it in the previous equation to get

[tex]b+5b=120[/tex]

Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.

I

II

III

IV

Answers

Step-by-step explanation:

work is shown and pictured

t - 10 + t = 40 what is the value of t

Answers

Answer:

t = 25

Step-by-step explanation:

t - 10 + t = 40

2t = 40+10

2t = 50

t = 50/2

t = 25

Hope this helps.

Answer:

Step-by-step explanation:

Based on the following calculator output, determine the mean of the dataset,
rounding to the nearest 100th if necessary.
1-Var-Stats
ī = 106.142857143
Ex = 743
2.c2 = 79453
Sx = 9.90670768433
or = 9.17182909673
n = 7
min X = 98
Q = 98
Med = 100
Q3 = 116
maxX = 121​

Answers

Answer:

  106 1/7

Step-by-step explanation:

The line ...

  ī = 106.142857143

tells you the mean of the dataset is 106 1/7.

Please help me with 2 more questions ill give good ratings please!

Answers

Answer:

3, - 6 )

Step-by-step explanation:

Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is

(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )

Q: A monomial usually has the form axn, where a is any number and n is a nonnegative integer. True or False

Hello, please help me out!

Answers

Answer:

True

Step-by-step explanation:

Yes this is a correct statement because a monomial usually has only one term and no + or - sign dividing the terms. For example 3x is a monomial which can be written as x*3

Please help me ASAP I will give thanks, points, and maybe brainliest.

Answers

Step-by-step explanation:

Let's plug the values in.

(18 * 1³ - 10²)² / 10 + 3 * 2 = (18 - 100)² / 16 = 6724 / 16 = 420.25.

The figure below is made of two identical triangular prisms. What is the volume of the figure?

Answers

Answer:

Please post the figure or image of the triangular prisms.

Step-by-step explanation:

please help! thanks in advance

Answers

Answer:

58500,72000

Because 65% and 80% of 90000 results in these answers

NEED HELP ASASP WILL GIVE YOU BRAINLIEST
Which of the triangles are right triangles?
3
01
5
8

Answers

Answer:

2.

5 x 5 = 25

4 x 4 = 16

25 + 16 = 41

You need to square root but it is already included

Hope this helps

Step-by-step explanation:

Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦. What is the value of x?

Answers

Answer:

Central Angle OPQ = Arc OQ = 82°

5x - 3 = 82°

5x = 85°

x = 17 degrees

Step-by-step explanation:

What is the measurement of angle A to the nearest degree?

Answers

Answer:

A = 51 degrees

Step-by-step explanation:

We can use the law of sines

sin A          sin 95

------------ = -----------

7                   9

Using cross products

9 sin A = 7 sin 95

Divide each side by 9

sin A = 7/9 sin 95

Take the inverse of each side

sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)

A = 50.78854367

To the nearest degree

A = 51 degrees

What is the mean of this data set: 17, 13, 18, 20, 17, 15, 12

A. 19

B. 16

Answers

Answer:

16

Step-by-step explanation:

You first add all the numbers together,then you divide by 7 to get the mean of it

Answer:

16

Step-by-step explanation:

17, 13, 18, 20, 17, 15, 12

To find the mean, add up all the values and divide by the number of terms

(17+ 13+ 18+ 20+ 17+ 15+ 12)/7

112/7

16

Which inequalities have the solution set graphed on the number line? Check all that apply.
x Greater-than-or-equal-to -1.5
x Less-than-or-equal-to -1.5
-1.5 Less-than-or-equal-to x
-1.5 Greater-than-or-equal-to x
x Less-than-or-equal-to -2.5
x Greater-than-or-equal-to -2.5
-2.5 Greater-than-or-equal-to x
PLZ HELP QUICKLY I DONT HAVE MUCH TIME WILL GIVE BRAINLIEST

Answers

Answer:

This graph represents x is less than or equal to -1.5

Step-by-step explanation:

When the graph faces the direction on the left that represents “less than”, similarly when the graph faces the right directions, that represents “greater than”.

Based on what is given, the graph is “less than”

Closed dot means “equal to”

open dot is just greater or less

Combine all of this and we can safely pick that this graph represents -1.5 less than or equal to 1.5

Answer:

ITS B AND D

CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP

Step-by-step explanation:

If f(x) = 3x - 12, what is f(2)?
O A. -6
O'B. 6
O c. 18
O D. -18
Helppp mee plzzz

Answers

Answer:

f(2) = -6

Step-by-step explanation:

f(x) = 3x - 12

Let x =2

f(2) = 3*2 -12

     = 6-12

       = -6


The temperature falls from 0 degrees to -12.4 degrees in
13 1/2
hours. Which expression finds the change in temperature per
hour?

Answers

Answer:

Step-by-step explanation:

The temperature falls from 0 degrees to -12.4

0-(-12.4) = 12.4

12.4/13.4 degree per hours

0.9185 degrees/ hour


Please answer this one please ???

Answers

A and E

Ones on -1 and the other is on 1
i’m pretty sure it’s a & e..
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