Solve the equation for x
3x + 5 = 14

Definitions:

A number, x, is even if it satisfies: x = 2n for some integer n

A number, x, is odd if it satisfies: x = 2k+1 for some integer k

Rewriting the Question:

In this case the question is asking if there is a number, x, that is has the following property:

x = 2n for some integer n AND x = 2k+1 for some integer k

Proof:

We can set these two equations equal:

2n = x = 2k + 1

2n = 2k + 1

2n - 2k = 1

2(n - k) = 1

Let number y = n - k. Note that since n and k are integers, n-k (and therefore, y) must also be an integer.

2y = 1

You can see on the left side (2y) that this becomes the definition of an even number! So the left side is an even number and the right side is 1. Since we know by definition that 1 is not an even number and k must be an integer (not 0.5), this equation becomes false.

As a result, there are NO numbers that can be both even AND odd.

Answer:

b.  22 feet below sea level.

Hope this helps:)

Step-by-step explanation:

Answer:

9.99

Step-by-step explanation:

0.7 is a rational number.

Because it is a terminating decimal expansion.

Answer:

0.7 is a rational  number- experssed as a fraction, it is equal to 7/10

Answer:2.500

Step-by-step explanation:

when rounding up to the nearest hundred you look at the tenths, if the tenths is 50 and above, you round up, when 49 and below, you round down.

Answer: x - 2y + 2z

keep it in alphabetical order!

Step-by-step explanation:

the negative on the outside changes what is on the inside, so the new equation will be

3x + 4y - 2x + 2z - 6y

combine like terms

x - 2y + 2z

Answer: 3x +10y

Step-by-step explanation:

first you put all the common integers (i think that is what they are called) together

3x+4y+6y-2z-(-2z)

Then you add and subtract all the integers

4y+6y=10y

-2z-(-2z)=0

so the answer is

3x+ 10y

Hopefully this is the right answer

God bless you!!

Answer:

m<DAE = 80°

Step-by-step explanation:

Given that m<CAB = 110°,

m<DAE = (x + 4)°,

m<EAF = 30°,

m<EAF + m<DAE = m<DAF (angle addition postulate)

30° + (x + 4)° = m<DAF (substitution)

(34 + x)° = m<DAF

<DAF and <CAB are vertically opposite angles. Vertically opposite angles are said to be congruent. Therefore:

m<DAF = m<CAB

(34 + x)° = 110° (substitution)

The equation above can be used to solve for x as follows:

34 + x = 110

x = 110 - 34 (Subtracting 34 from both sides)

x = 76

m<DAE = (x + 4)°

Plug in 76, to replace x

m<DAE = 76 + 4

m<DAE = 80°

Answer:

7x+y, when x+4 and y+5

7(4) + 5=

28+5=

33

Step-by-step explanation:

Hope this helps. :)

Answer: C

Step-by-step explanation:

To find f(g(x)), you plug in g(x) into f(x).

[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex]                [combine like terms]

[tex]f(g(x))=\sqrt{8x-4}[/tex]                           [factor]

[tex]f(g(x))=\sqrt{4(2x-1)}[/tex]                      [square root of 4]

[tex]f(g(x))=2\sqrt{2x-1}[/tex]

Now, we know that the answer is C.

Answer:

The equality is false because one side is positive and the other side negative.

Step-by-step explanation:

5(4)+7        

Multiply the numbers 4 and 5

20

20+7

add the numbers 20 and 7

27[tex]\neq[/tex]-3

so the number 4 is not the solution

Answer: C or $256

You will also save $64

Answer:

The cost of the stereo system is $256.

Step-by-step explanation:

What we know:

The cost of the stereo system is $320.

Zenaida is getting the stereo system 20% off.

We can set our equation up like this:

Stereo System = 320-320*20%

(to find the cost of the stereo system, we have to subtract 20% of the original price)

1. Multiply 20 by 100 to change 20% into a decimal

20*100=0.2

2. Plug into the equation and solve

320-320*0.2

= 320-64

= 256

I hope this helped!

Answer:

B

Step-by-step explanation:

So we want to find the value of x.

Note that the entire segment (JK) is the sum of the segments JI and IK. In other words:

[tex]JK=JI+IK[/tex]

We know that JK is (2x-1), JI is (2), and IK is (x+3). Substitute:

[tex]2x-1=(2)+(x+3)[/tex]

On the right, add:

[tex]2x-1=x+5[/tex]

Add 1 to both sides:

[tex]2x=x+6[/tex]

Subtract x from both sides. The right cancels:

[tex]x=6[/tex]

And the value of x is 6.

Our answer is B.

Answer:

I'm trying to find it out to

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because it is is parenthesis

Answer:

390

Step-by-step explanation:

100% CORRECT

Answer:

Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.

Step-by-step explanation:

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

                                            = 2(4 + 2)

                                            = 2 × 6

                                            = 12 units

Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

Answer:

Experiment

Step-by-step explanation:

By going out of her way to make different tests and giving it to different portions of the class, she's creating and running an experiment.

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is

x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )

x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

The shortest side is x - 5 = 3 in

Answer: [tex]d=\frac{T+N3}{G}[/tex]

Step-by-step explanation:

To solve for d, we want to use algebraic properties to isolate d.

[tex]T=Gd-N3[/tex]            [add both sides by N3]

[tex]T+N3=Gd[/tex]            [divide both sides by G]

[tex]\frac{T+N3}{G} =d[/tex]

[tex]d=\frac{T+N3}{G}[/tex]

Now, we know that [tex]d=\frac{T+N3}{G}[/tex].

Answer:

His average speed is 4.75 m/s

Step-by-step explanation:

Here, we are interested in calculating the average speed of the boy.

At time t = 4 seconds, total distance traveled = 6 meters

The average speed here is distance/time = 6/4 = 1.5 m/s

Now at time 30 7 seconds , he has rolled 30 meters

What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds

So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second

Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second

Answer:

difference in percentage = 44-39=5%

difference in number =30

let total number of run by team be x

5% 0f x= 30

0r 5x = 3000

x= 300/5 = 600

Step-by-step explanation:

The area is 10 units^2

Right side triangle: A = 1/2bh

A = 1/2(8 units^2)

A = 4 units^2

Left side triangle: A = 1/2bh

A = 1/2(4 units^2)

A = 2 units^2

Square: A = lw

A = 2x2 units^2

A = 4 units^2

Total area: right triangle + left triangle + square

Total area = 10 units^2

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{10 \text{ units} ^{2} }[/tex]

[tex]\text{To find the volume, we can divide the shape into 3 different shapes}\\\\\text{A triangle with b = 2 h = 2, a square with s = 2, and a triangle of b = 4 and h = 2}\\\\\text{Therefore:}\\\\[/tex][tex]\text{Area of a triangle: A = 1/2(bh), Area of a square: } A = s^{2} \\ \\A = 1/2(2 * 2)\\A = 1/2(4)\\A = 2 \\\\A = 2^{2} \\A = 4\\\\A = 1/2(4 * 2)\\A = 1/2(8)\\A = 4\\\\\text{Add up the areas:}\\\\2 + 4 + 4 = 10 \text{ units} ^{2}[/tex]

Answer:

B has a negative exponent: 8 x 10^-7

A doesn't: 4.267 x 10^7

Answer:

7x for the first expression

2x + 2y + 8x^2

Step-by-step explanation:

5(2x) - 3x

= 10x - 3x = 7x

2x + 2y + x^2(8)

= 2x + 2y + 8x^2

Answer:

"If the game is a team sport, the game is field hockey"

Truth value → True

Step-by-step explanation:

The conditional statement is,

"If the game is field hockey, then the game is a team sport"

There are two statements,

Statement p → The game is a field hockey.

Statement q → Game is a team sport.

For the converse statement,

If p then q (q → p)

So the converse will be,

"If the game is a team sport, the game is field hockey"

Since, both the statements p and q are TRUE, truth value will be TRUE.

(Converse is false only when q is false and p is true)