If three times a number is increased by 4, the result is -8. Determine the number.

Step-by-step explanation:

First, you have to solve the inequality of x :

| x + 2 | < 12

x + 2 < 12

x < 10

AND

- x - 2 < 12

- x < 14

x > - 14

Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.

Answer:

-x - y - z  = -8   ........      (1a)

-4x + 4y +5z = 7     .....   (2a)

2x + 2x =  4   ..........       (3a)

since (3a) a is an equation solely in x make x the subject of the equation

  2 ( x + x) = 4

 divide both sides by 2

      (x + x)  = 2

            2x  = 2

              x  =  1  .......  (3b)

  substitute x in (3b) for x in (1a)

          -(1) - y - z  = -8  

    make y the subject of the equation

              -y - z  =  -8 + 1

                    -y =  -7 + z

                     y = 7 - z  ..... (1b)

 substitute y in (1b) for y in (2a) as well as the value of x ( x= 1)

        -4(1)+ 4( 7 - z ) +5z = 7

       - 4 + 28 - 4z + 5z  = 7

              -24 + z  = 7

                       z  = 7 + 24

                       z  = 31

By using (1a) solve for y

          -(1) - y - (31)= -8          

          -1  - y - 31 = -8        

                        y = -1 - 31 + 8

                        y = -24

∴ the solutions of the system are  x = 1 ; y = -24 ; z = 31  

Hope this helps!!!!!!!

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Answer: True

Step-by-step explanation:

3 x 2 = 6

12.6 = 6x

6x = 5y

5y = 32

+

Answer:

C is -321 I hope this helps ^^

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.

Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,

x + x + 2 + x + 4 + x + 6 = 36

4x + 12 = 36

4x = 36 - 12

4x = 24

x = 24 / 4

x = 6

The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

2 1/5 - 5/6 = 41/30

Step-by-step explanation:

Turn the denominator to be the same because if the denominator is not the same so you can't subtract neither can you add.

Next find the least common multiple of both denominator (5, and 6) and ask yourself what time the denominator would give you the least common multiply you got.

1/5 x 6/6 = 6/30 and 5/6 x 5/5 = 25/30

Your expression now would be 2 6/30 - 25/30

You can't subtract 6 from 25 so you have to turn the proper fraction into a improper fraction

2 6/30 = 2 x 30 + 6 = 66/30. 25/30 = 0 x 0 + 25 = 25/30.

Your new expression would be:

66/30 -  25/30

Now you can subtract 66 - 25 and you get 41

Therefore the correct answer is 41/30 you can not simplify the answer because the numerator is a odd number and the denominator is a even number.

Answer:

15.7040816327

Step-by-step explanation:

Answer:

it is  15 69\98  hope this helps!!

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

I think if I am wrong I am sorry

Answer:

5 yards

Step-by-step explanation:

Given;

1 yard = 3 feet

The length of a room is 15 feet

Find;

The length of the room in yards

Set up a proportion;

[tex]\frac{1yard}{3feet}=\frac{x-yards}{15feet}[/tex]

Solve;

x = 5 yards

Answer:

One Serving - 1/4 teaspoon

240 Serving - 60 teaspoon

plz mark as brainliest

Answer is $1.56=10/11*15.60

Answer:

In total its 17.16 but the tip is 1.56

Step-by-step explanation:

Trust me

Answer:

x=3 and AB=20

Step-by-step explanation:

If CB and BD are equal segments then you can solve for x by solving for

3x+6=8x-9

3x+15=8x (Add 9 to both sides)

15=5x (Subtract 3x from both sides)

x=3 (Divide 5 by both sides)

To find AB, substitute 3 and x

7(3)-1

21-1

20

Answer:

84

Step-by-step explanation:

52%of math problem are pointless.

52%of math problem= pointless

52%of 175

(52/100)×175

91=pointless

math problem - pointless =non pointless

175 - 91 = 84

Answer:

1/2

Step-by-step explanation:

3/4-1/4=1/2

a=-5/2

Step-by-step explanation:

-6a=-5-8a

-6a+8a=-5-8a+8a

2a=-5

a=-5/2

Answer:

a = -6

7 -6a = -5 -8a

- 6a = - 5 - 8a - 7

- 6a + 8a = - 5 - 7

2a = - 12

2a/2 = - 12/2

a = -6

Answer: D

Step-by-step explanation:

Just did it

Answer:

if im right its negative

Negative I’m pretty sure sorry if I’m wrong

Answer:

Step-by-step explanation:

The answer is (A)

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

Answer:

x=y/12

Step-by-step explanation:

I took the variable and flipped it. Instead of solving for y inches, I solved for x feet.

Answer:

Step-by-step explanation:

H

Answer:

The statement means that after 2 hours, there are 90 bacteria in the culture.

Step-by-step explanation:

The number of bacteria after x hours is given by the function states in the exercise. We have that f(x) will be the number of bacteria after x hours.

Which statement best describes the meaning of the equation f(2) = 90 ?

The statement means that after 2 hours, there are 90 bacteria in the culture.

Answer:

3.82% (approximately)

Step-by-step explanation:

Answer:

Step-by-step explanation:

2π radians = 360°

x  radians · 360°/(2π radians) = (180x/π)°

f(x) = 180x/π

The measure of the angle in degrees would be (180x/π)° and the function would be f(x) = 180x/π which determines the degree measure of an angle in terms of the radian measure of the angle x.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Given that an angle has a measure of x radians,

So the measure of the angle in degrees

Since 2π radians = 360°

Therefore x  radians · 360°/(2π radians)

= (180x/π)°

A function f represents the degree measure of an angle in terms of the radian measure of the angle, x.

⇒ f(x) = 180x/π

Hence, the measure of the angle in degrees would be (180x/π)° and the function would be f(x) = 180x/π which determines the degree measure of an angle in terms of the radian measure of the angle x.

Learn more about the function here:

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Answer:

2x + 3y = 6

Step-by-step explanation:

Answer:

x= 2,180

x= number of adult tickets sold

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adult tickets sold

y= number of children tickets sold

5.5x + 3.5y = 22,210

x + y = 5,100

Now, we isolate one variable in a formula and substitute its value in the other:

x= 5,100 - y

5.5*(5,100 - y) + 3.5y= 22,210

28,050 - 5.5y +3.5y = 22,210

2y= 5,840

y= 2,920

x= 5,100 - 2,920

x= 2,180