Solve the inequality: x+10>2x/5. *

Answers

Answer 1

Hello BATAPAAKO!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Solve the inequality: x+10>2x/5.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]x + 10 \gt \frac { 2 x } { 5 } \\ [/tex]

Firstly, multiply both sides of the equation by 5.

[tex]5(x + 10) > 2x \\ = 5x + 50 > 2x[/tex]

Since 5 is greater than 0, the direction of the inequality will remain unchanged. Now, subtract 2x from both the sides.

[tex]5x + 50 > 20 \\ = 5x + 50 - 2x > 0[/tex]

Combine 5x & -2x to get 3x.

[tex]5x + 50 - 2x > 0 \\ = 5x - 2x + 50 > 0 \\ = 3x + 50 > 0[/tex]

Now, subtract 50 from both the sides. Remember :- anything subtracted by 0 will result in its negation. So 50 subtracted from 0 will give you -50.

[tex]3x + 50 > 0 \\ = 3x > - 50[/tex]

Divide both sides of the equation by 3. Again, since 3 is > 0, the direction of inequality will remain unchanged.

[tex]3x > - 50 \\ = \large\boxed{\boxed{ \bf \: x > - \frac{ 50}{3} }}[/tex]

__________________

Hope it'll help you!

ℓucαzz ッ


Related Questions

A square playground has an area of 200 m​2​. Estimate the length of one side.
A: 14m B: 100m C: 20 m
Pick one!
Plzzz help me I will give Brainliest I need Math HW done asap!

Answers

Answer:

It should just be 14m .

Step-by-step explanation:

Area is just height x length and since he know that the sides are all equal because it's a square they have to be x amount times x amount 14 x 14 = 197 which is the closest answer we can get with these opions.

How do you break apart 32.14

Answers

Answer:

answer is below

Step-by-step explanation:

so 32.14 is breakable. first break it up by the tens place you have 3 tens.

next the ones place you have 2 ones

then the tenths place you have 1 tenth

then the hundredth place you have 4 hundreths

so the 3 tens is equal to 30

the 2 ones is equal to 2

the 1 tenth is equal to 0.1

the 4 hundredth is equal to 0.04  

this is easier to understand and is a good way to think about more complext numbers

The equation for line j can be written as y= 1 2 x–4. Parallel to line j is line k, which passes through the point ( – 8, – 5). What is the equation of line k?

Answers

Just like this
Y=12x+91

PLEASE PLEASE HELP

Referring to the Fig. in Question #31, the spinner is divided
into equal parts. If you spin the spinner 100 times,
how many times do you expect it to stop on a number
less than 10?

Answers

Answer:

75 times

Step-by-step explanation:

If the parts are numbered 1-12,
then P(x<10 on one spin = 9/12
Now let’s reduce 9/12 to 3/4
3/4 is equivalent to 75.
Your answer is 75%

What expressions are equivalent to 12+84

Answers

Answer:

Any expression that sums up to 96 is equivalent to 12+84.

Step-by-step explanation:

Since, you haven't provided any options.

12+84=96

Any expression that sums up to 96 is equivalent to 12+84.

(7x³-11x-1)-(12x³+x²-8)​

Answers

Answer:

[tex]- 5 {x}^{3} - {x}^{2} - 11x + 7 \\ [/tex]

Step-by-step explanation:

Before solving that we have to know that,

[tex]( + ) \times ( + ) = ( + ) \\ ( - ) \times (- ) = ( + ) \\ ( + ) \times ( - ) = (- )[/tex]

Let's solve now.

[tex]7 {x}^{3} - 11x - 1 - (12 {x}^{3} + {x}^{2} - 8) \\ 7 {x}^{3} - 11x - 1 - 12 {x}^{3} - {x}^{2} + 8 \\ 7 {x}^{3} - 12 {x}^{3} - {x}^{2} - 11x - 1 + 8 \\ = - 5 {x}^{3} - {x}^{2} - 11x + 7[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Two trains leave towns 840 miles apart at the same time and travel toward each other. One train travels 20 mi/h slower than the other. If they meet in 5 hours what is the rate of each train?

Answers

CHIPOTLE, CHICK-FIL-A, BURGER KING, MCDONALDS… ETC. fathdhbudRhfyjufik__ 840

Find the midpoint of the line segment joining the points P, and P2
P1 = (2, -5); P2 = (4.9)

Answers

The answer is (3, 2)

please help!
Question 8 of 10 Allowable tax deductions do not include O A. personal vacation expenses B. charitable donations O c. home mortgage interest costs O D. educational expenses​

Answers

Answer:

A. Personal vacation expenses

Step-by-step explanation:

Because everything else either helps the community or is a required expense

find the value of a cube + b cube when a+b = 5 and ab = 3

Answers

As we know :

[tex] \boxed{ \boxed{ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) }}[/tex]

now let's plug the value of given terms :

(5)³ = a³ + b³ + (3×3)(5)

125 = a³ + b³ + 45

a³ + b³ = 125 - 45

a³ + b³ = 80

Answer:

babawi lang sana

Step-by-step explanation:

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I have an 20 pound bag of food. If it is 2/3 full right now, how much dog food is in the bag?

Answers

Answer:

2/3multiply by20 u get 13.3 pounds

⦁ Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as .

Answers

Answer:

u can be using it at perpendicular and place it's center on point A

hope that helps a bit-


Find the values of x, y, and z in the triangle to the right

Answers

Answer:

x = 36 , y = 64 , z = 80

Step-by-step explanation:

Exterior angle equals the sum of opposite interior angle.

3x +  8 = x +  z

3x - x - z = -8

2x  -  z = -8   ------------ (I)

z + 3x - 8 = 180 {linear pair}

3x + z = 180 + 8

3x + z = 188 --------------(II)

Add (I) and (II) and z will be eliminated and we can find the value of 'x'

(I)            2x - z = -8

(II)           3x + z = 188   {Now add}

               5x      = 180

x = 180/5

x = 36

Plugin x = 36 in equation (II)

     3*36 +z = 188

        108 + z = 188

                z = 188- 108

z = 80

x + y + z = 180 ----------------(III)  {angle sum property of triangle}

36 + 80 +y = 180

       116 + y = 180

               y = 180 - 116

y = 64

If two complementary angles are in a 2:3 ratio, what is the degree measure of each angle?

Answers

Answer:

The other angle's measure is 2/3 (54) = 108/3 = 36 degrees.

Write an integer to represent spending $50

Answers

The integer that represents spending $50 is -50

QUESTION IN PIC
CORRECT ANSWER GETS BRAINEST

Answers

Answer: 0.8333

Step-by-step explanation:

A volunteer at the zoo is responsible for feeding the animals in 15 exhibits in the reptile house. This represents 20% of the total exhibits in the reptile house. How many exhibits are in the reptile house?

Answers

Answer:

75

Step-by-step explanation:

15 is 20% of the total.

The total is x since it is unknown.

20% of the total = 15

20% of x = 15

0.2x = 15

Multiply both sides by 5.

x = 75

Shelly bought a bed sheet for $1699.
She gave the Shopkeeper $2000 - what
amount will be returned
by
the shopkeeper?

Answers

Answer:

the shop keeper will return $301.00

The shop keeper will return $301.00

(5 - 2i) + (-4 + 81)
O A. 5i
B. 7i
O c. 1-6
D. 1 + 6

Answers

Answer:

82 - 2i

Step-by-step explanation:

(5 - 2i) + (-4 + 81)

5 - 2i + 77

= 82 - 2i

1 + 6i

we open the brackets to give us

5 - 2i - 4 + 8i

collecting like terms, we have,

-2i + 8i + 5 - 4

6i + 1

or

1 + 6i

Use the grouping method to factor this polynomial completely.
3x3 + 12x2 + 2x + 8
A. (3x2 + 4)(x+4)
B. (3x2 + 4)(x+2)
C. (3x2 + 2)(x + 2)
O D. (3x2 + 2)(x+4)

Answers

Answer:

[tex]D)\:(3x^{2} +2)(x+4)[/tex]

Step-by-step explanation:

[tex]3x^{3} + 12x^{2} + 2x + 8[/tex]

Group, [tex]3x^3+12x^2+2x+8[/tex]  [tex]=(3x^{3} +12x^{2} )+(2x+8)[/tex]factor out [tex]3x^{2}[/tex]in the first and 2 in the second group.

[tex]3x^{2} (x+4)+2(x+4)[/tex]

Factor out common term [tex]x+4[/tex] by using distributive property.

polynomial [tex]3x^{2} +2[/tex] is not factored since it does not have any rational roots.

[tex](3x^{2} +2)(x+4)[/tex]

_____________________________

Answer:d

Step-by-step explanation:

Can someone help me please thank you :)

Answers

Answer:

a

Step-by-step explanation:

page. 1.06 lb of lettuce for 2.05 what does lettuce cost per pound rounded to the nearest cent no links please just answer the question​

Answers

Answer:

I don't think anyone understands the question

Answer:

$1.93 per pound

Step-by-step explanation:

Use ratios to solve:

1.06 lb → $2.05 1 lb → x

x = 2.05/1.06 = $1.93 per pound

What is the distance between the points (22, 13) and (4, 13) in the coordinate plane?
A.
26 units
B.
18 units
C.
19 units
D.
9 units

Answers

Answer:

18 units

Step-by-step explanation:

You don't need to use slope since both are using 13 for y.

22 - 4 (both x values) = 18

B. 18 units

Can someone please help me with a Mid topic assessment please?

Answers

Answer:

we can do it again and I am a great time with you and your family and friends and family is not good

22/7 - 4/7
A)2
B)2 4/7
C)2 5/7
D)3​

Answers

Answer:

None of the option is correct.

The right answer is 18/7 or 2.57

Step-by-step explanation:


[tex]x > 5[/tex]
inequality in one variable ​

Answers

Interval notation: (5, ∞).
Set notation: {x | x > 5}
The set notation is and is read “The set of all x such that is x greater than 5.”

Please mark my answers as the Brainliest if you find my explanations helpful :)

Which are monomials?

-7

a

x + y



24r2st3


bx

Answers

Answer:

A,B,E,F

Step-by-step explanation:

#11 help please !!!!!!!

Answers

Answer:

Step-by-step explanation:

300/100 = 3 = 1%

if 3 = 1% then 3/2 or 1.5 = 0.5%

5 x 3 = 15 = 5%

15 + 1.5 = 16.5 = 5.5%

Can someone give me advice please..I'm having a panic attack because a car hit my car when i was turning on a yellow arrow and it was clear but this brown jeep speeded to hit my car. how do i fix it without my dad knowing. i am willing to pay a lot to fix it but i just don't want to get in trouble and I don't want him finding out :(​

Answers

Answer:

keep the car at a friends house untill you find a place to get it fixed at... or keep it at a trustworthy family members house.

If these don't help then im sorry.

Find a friend with a garage and hide it there if you don’t have any with a garage then just hide it somewhere he’d never look or has never looked but if he finds it just explain what happened and he might understand

If this done help I’m sorry! God rest your soul

The perimeters of the triangles shown are equal. Find the side lengths of each triangle.
AB =
PQ=
QR =
BC=
AC =
PR =

Answers

Answer:

3x +9 + 3x + 3x +8 = 3x + 3x + 4x + 6

9x + 17 = 10x + 6

x = 11

AB 42

BC 41

AC 33

PQ 33

QR 33

PR 50

Answer:

x = 11

Step-by-step explanation:

if the perimeters are equal then:

the perimeter of the first triangle : 3x + 9 + 3x + 3x + 8 = 9x + 17

the perimeter of the second triangle : 3x + 3x + 4x + 6 = 10x + 6 and

9x + 17 = 10x + 6 export like terms to the same side of the equation

17 - 6 = 10x - 9x

11 = x

we can find the lengths by replacing x with 11 in given expressions.

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