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3 years ago

4( x + 5) + 4x + 8 which of the following is equivalent to the expression above.

Mathematics

1 answer:

Serjik [45]3 years ago

6 0

Answer:option A is the correct answer

Step-by-step explanation:

The given expression is

4( x + 5) + 4x + 8

To simplify the given expression, the first step is to open the parenthesis by multiplying each term in the parenthesis by the term outside of the parenthesis. It becomes

4x + 20 + 4x + 8

Next step is to add like terms. We would do this by adding each term containing x together and also add the constants together. It becomes

4x + 4x = 20 + 8

8x+ 28

Since 4 is a common factor of both terms, we would factorize 4 out. It becomes

4(2x + 7)

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Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years

Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

6 0

3 years ago

A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation

Bingel [31]

Answer:

p - 14.5 = 53

Step-by-step explanation:

The original price is p.

The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.

The discounted price is $53

Equation:

p - 14.5 = 53

5 0

2 years ago

Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.

liraira [26]

Answer:

Step 2 is wrong.

It should be 3x – 18 + 4x + 12 – 6x

Explanation:

3(x – 6) + (4x + 12) – 6x →

3x – 18 + 4x + 12 – 6x →

(3x + 4x – 6x) + (-18 + 12) →

x – 6

6 0

3 years ago

30 POINTS HELP PLEASE

Reptile [31]

Answer:

$\large\boxed{a=-3,\ b=-7\ and\ c=3}$

Step-by-step explanation:

$ax^2+bx+c=0$

We have:

$-3a^2=7a-3$ subtract 7a from both sides

$-3a^2-7a=7a-7a-3$

$-3a^2-7a=-3$ add 3 to both sides

$-3a^2-7a+3=-3+3\\\\-3a^2-7a+3=0\to a=-3,\ b=-7, c=3$

8 0

3 years ago

How Do I solve this!

motikmotik

Answer:

1380 in²

Step-by-step explanation:

The lateral surface is the sum of the areas of all the sides, or 'faces'.

The bases (the top and bottom) are not included.

This is a prism with triangles for bases (at each end). The sides are rectangles.

Add up the areas of the rectangles.

300 + 480 + 600 = 1380

5 0

2 years ago