-4+ =-1 what is the missing number?

2(x + 4) = 4x + 3 – 2x + 5

melamori03 [73]

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

2(x + 4) = 4x + 3 - 2x + 5

Step 2: Solve for x

Distribute 2: 2x + 8 = 4x + 3 - 2x + 5
Combine like terms: 2x + 8 = 2x + 8
Subtract 8 on both sides: 2x = 2x
Divide 2 on both sides: x = x

Here we see that x does indeed equal x.

∴ x = infinite amount of solutions

8 0

3 years ago

An airplane makes a 400-mile trip against a head wind in 4 hours. The return trip takes 2.5 hours, the wind now being a tall win

tangare [24]

Answer:

$v_p=130\ miles/h$

$v_w=30\ miles/h$

Step-by-step explanation:

Lets call $v_p$ the the still-air speed of the plane and $v_w$ the speed of the wind. On the first part the speed of the plane relative to the ground will be $v_1=v_p-v_w$ , and on the second part it will be $v_2=v_p+v_w$ .

We know that the distance d=400 miles on the first and second parts are the same, so by the definition of velocity we will have:

$v_1=\frac{d}{t1}$

$v_2=\frac{d}{t2}$

Or:

$v_p-v_w=\frac{d}{t1}$

$v_p+v_w=\frac{d}{t2}$

Adding both equations:

$(v_p-v_w)+(v_p+v_w)=2v_p=\frac{d}{t1}+\frac{d}{t2}$

$v_p=\frac{1}{2}(\frac{d}{t1}+\frac{d}{t2})$

Which for our values is:

$v_p=\frac{1}{2}(\frac{400\ miles}{4h}+\frac{400\ miles}{2.5h})=130\ miles/h$

If instead of adding, we substact, we would have:

$(v_p+v_w)-(v_p-v_w)=2v_w=\frac{d}{t2}-\frac{d}{t1}$

$v_w=\frac{1}{2}(\frac{d}{t2}-\frac{d}{t1})$

Which for our values is:

$v_w=\frac{1}{2}(\frac{400\ miles}{2.5h}-\frac{400\ miles}{4h})=30\ miles/h$

6 0

4 years ago

!!!!!!HELPPP!!!!!!

andrew11 [14]

Hey there! I'm happy to help!

A permutation is focused on a specific order, while a combination is not focused on the order but on the content of what is grouped.

AB and BA are different permutations because they are in different orders, but they are the same combination because they both contain the letters A and B.

So, we see that AB and BA are one combination.

AC and CA are also another combination because they are made up of the letters A and C.

Same goes for BC and CB, this is also one combinations.

This totals up to C. 3 combinations. Now you know the difference between permutations and combinations!

Have a wonderful day!

8 0

3 years ago

Help plssssssss !!!!!!!!!!!!!!!!!!!1 brainliest + 20 points

Nitella [24]

Answer:

2

Step-by-step explanation:

8 0

3 years ago

Daniela bought a car for $24,000. Each year the value of the car decreases by $1750. a. Write a function that shows the value of

pshichka [43]

I hope this might be able to help you.

Since the value of the car slowly decreases each year and each year is represented by y, the function is 24,000-1750y=f(x).

6 0

3 years ago