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Step-by-step explanation:

Solve the inequality:

[tex]3x - 11 > 7x + 9[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]3x - 7x > 9 + 11[/tex]

Combine like terms:

[tex] - 4x > 9 + 11[/tex]

Calculate the sum or difference:

[tex] - 4x > 20[/tex]

Reduce the greatest common factor for both sides of the inequality:

[tex] - x > 5[/tex]

Divide both sides of the inequality by the coefficient of variable:

[tex]x < - 5[/tex]

2: plot:

[tex]x < - 5[/tex]

Graph on number line:

The solution inequality that represents the solution of the given expression inequality is → x < - 5.

Given is the inequality as follows -

3x – 11 > 7x + 9

The inequality is given as -

3x – 11 > 7x + 9

3x > 7x + 9 + 11

3x - 7x > 9 + 11

- 4x > 20

x < - 5

Therefore, the solution inequality that represents the solution of the given expression inequality is → x < - 5.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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Answer:

[tex]{ \tt{1 \: hour = 60 \: minutes}} \\ { \tt{5 \: hours = (5 \times 60) \: minutes}} \\ = 300 \: { \bf{minutes}}[/tex]

Answer:

(x+5)(x-2)

Step-by-step explanation:

x^2 +3x-10

What two numbers multiply to -10 and add to 3

5*-2 = -10

5+-2 = 3

(x+5)(x-2)

Answer:

43 units^2

Step-by-step explanation:

Area of a rectangle is

A = l*w

The bottom rectangle is 3 by 11 for an area of 33

The top rectangle is  2 by 5 for an area of 10

Add the areas together

33+10 = 43

Answer:

-5

Step-by-step explanation:

4+2(x-4) = -7(x+7)

First, work out parenthesis: 4+ 2x-8 = -7x -49

Combine like terms: 2x-4= -7x-49

now isolate x by first adding 49 to each side: 2x+45= -7x

Then subtract 2x from each side: 45= -9x

Last, divide both sides by -9:

x= -5

Answer:

The answer is negative five or -5.

Step-by-step explanation:

First, you need to distribute your equation and at the end, the -4 should be just 2x - 8.

Second, subtract the numbers 4 and -8, which will equal to -4.

Third, rearrange your terms. Those terms would be -4 + 2x, so it should be 2x - 4.

Fourth, distribute again but with -7(x + 7) and you should get -7x - 49.

Fifth, add four to both sides of your equation. It should be like 2x - 4 + 4 = -7x - 49 + 4.

Sixth, add the numbers for the both sides. Therefore, you have 2x = -7x - 45.

Seventh, add 7x to both sides of the equation. You add it to 2x and -7x - 45 + 7x.

Eighth, simplify by combining like terms which you get 9x = -45.

Ninth, divide both of the sides of your equation by the same term. Your number to use when diving is 9.

Tenth, simplify but cancel terms that are both the numerator and denominator. Then you divide the numbers and get -5.

Answer:

B.  2(x+2)(x+1)

Step-by-step explanation:

[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 {x}^{2} + 6x + 4[/tex]

Taking 2 as common factor, we have

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

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]

Taking the factor [tex](x+2)[/tex] as common,

[tex] = 2(x + 2)(x + 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

D.

If Tony and Michael ate 26 you take that away from 60 which equals 34.

           26-60=34

put the dot on the yellow card close to 1

Answer:

...........................I would be I don't know

Answer:52

Step-by-step explanation:

y

Answer:

let the ratio of zinc be x

6x

mass of the zinc=90kg

6x=90

x=15

for other metals

copper=13x=13*15=195kg

lead=x=15kg

mass of whole metal=195+90+15=300kgStep-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

13x+19 = 16x -5

Subtract 13x from each side

13x-13x+19 = 16x-13x -5

19 = 3x-5

Add 5 to each side

19+5 = 3x-5+5

24 = 3x

Divide by 3

24/3 = 3x/3

8 = x

Answer:

x = 8

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent

Hence, 13x + 19 = 16x - 5

We now solve for x using the equation we just created

13x + 19 = 16x - 5

Subtract 13 x from both sides

19 = 3x - 5

Add 5 to both sides

24 = 3x

Divide both sides by 3

x = 8

Answer:

y=80

Step-by-step explanation:

when solve y-intercept let x=0

y= -16(0)2+64(0)+80

y=0+0+80

y=80

(0;80)

Answer:

B. isosceles triangle

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

no angles shown are obtuse

there are no right angles in the triangle

none of the sides are equal

only two sides are equal which is what makes an isosceles triangle

Answer:

bro/sis through this solution u can solve ur values

Step-by-step explanation:

To calculate the variance, you first subtract the mean from each number and then square the results to find the squared differences. You then find the average of those squared differences. The result is the variance. The standard deviation is a measure of how spread out the numbers in a distribution are.

I hope this will help you

Answer:

62.5

Step-by-step explanation:

Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5

Answer:

x - 3

Step-by-step explanation:

Jenna picked x.

Josh picked 2x - 3.

The difference is:

2x - 3 - x

which simplifies to

x - 3

Answer: x - 3

Answer:

X= 7/2

Step-by-step explanation:

2(+1)=9

2+2−2=9−2

X= 7/2

Answer:

b=5

Step-by-step explanation:

the answer is in the image above

Answer:

5

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2 for right triangles where a and b are the legs and c is the hypotenuse.

In the image, b and 12 are legs and 13 is the hypotenuse, so b^2 + 12^2 = 13^2 -> b^2 = 13^2 - 12^2 = 169 - 144 = 25 -> b = 5

I hope this helps! :)

Answer:

It's actually 13 groups

4 students will be left over

Step-by-step explanation:

Add all the students together

134

Divide 10

13 and remainder 4

Answer:

13 ; 4

Step-by-step explanation:

Total students = 24 + 21 + 33 + 36 + 20 = 134

grups that will be made = 134 : 10 = 13,4 = 13

13 x 10 = 130

Students that will be left overs = 134 - 130 = 4

Answer: B. DBC

Step-by-step explanation:

Answer:  [tex]\angle DBC[/tex]  (choice b)

================================================

Explanation:

When naming any angle, you need 3 points. The middle point is the vertex of the angle. The other two points can be in any order as long as they are on the lines or rays that we want.

We go for angle DBC, which we can write as [tex]\angle DBC[/tex], since B is at the vertex and points D and C are on either side of the vertex.

Angle ABD is adjacent to the marked angle, but it's not what we're after.

Angle BDC isn't drawn, so we cross this off the list as well.

Saying [tex]\angle B[/tex] is too vague in this context because it could mean either [tex]\angle ABD[/tex] or it could mean [tex]\angle DBC[/tex] since they both share the same vertex B.

Answer:

x = 2 and y = 4

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

3x -9y =4

To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)

Subtract 3x from each side

-9y = -3x+4

Divide each side by -9

-9y/-9 = -3x/-9 +4/-9

y = 1/3x -4/9

The slope is 1/3 and the y intercept is -4/9

Here,

3x -9y =4

To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)

Subtract 3x from each side

-9y = -3x+4

Divide each side by -9

-9y/-9 = -3x/-9 +4/-9

y = 1/3x -4/9

The slope is 1/3 and the y intercept is -4/9

[tex] \\ [/tex]

Answer:

The final speed after collision of the first ball that weighs 4 kg will be 8.5 m/s.

Step-by-step explanation:

M1 = 4

M2 = 2

V1 = 8

V2 = 6

V2f = 5

V1f = ?

Rep. Situation with Momentum formula:

M1*V1+M2*V2 = M1*V1f+M2*V2f

Rearrange:

((M1*V1+M2*V2)-M2*V2f) / M1 = V1f

Calculate:

((44) - 10) / 4 = V1f

V1f = 8.5

Answer:

26 hydrogen atoms

Step-by-step explanation:

Let us look at the formula presented for Adrenalin carefully. We will discover that the formula written there is 2C9H13NO3.

This means that that's there are 18 carbon atoms, 26 hydrogen atoms 2 nitrogen atoms and 6 oxygen atoms in the formula shown above.

This is so because the 2 written before the symbols of the elements must multiply the subscript of each element in order to obtain the number of atoms of that element present in the compound as shown.

Answer:

24 cm

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

V= 4/3πr³

or, r³= 3/4π ×V= 3/4π× 18432π= 13824

or, r= (13824)^1/3= 24cm

Answer:

68

Step-by-step explanation:

its an isoscles triangle(angles of equal sides are equal)

i hope it helps..

Answer:

[tex]{ \tt{let \: one \: side \: be \: s}} \\ { \bf{perimeter = 4s}} \\ 56 = 4s \\ s = \frac{56}{4} \\ { \tt{s = 14 \: cm}} \\ \\ { \bf{area = {s}^{2} }} \\ = {14}^{2} \\ { \boxed{ \tt{area = 196 \: {cm}^{2} }}}[/tex]

Answer:

A =196 cm^2

Step-by-step explanation:

The perimeter of a square is

P = 4s where s is the side length

56 = 4s

Divide by 4

56/4 = 4s/4

14 =s

The area is given by

A =s^2

A =14^2

A =196 cm^2

Answer:

[tex]\huge\boxed{p^3+p^2=p^2(p+1)}[/tex]

Step-by-step explanation:

[tex]p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)[/tex]

Used:

[tex]a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac[/tex]