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Law Incorporation [45]
3 years ago
12

A) Simplify the expression and explain each step. (2 points)4(3x+2) -2= ?

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

6 (2 x + 1)

Step-by-step explanation:

Simplify the following:

4 (3 x + 2) - 2

Hint: | Distribute 4 over 3 x + 2.

4 (3 x + 2) = 12 x + 8:

12 x + 8 - 2

Hint: | Group like terms in 8 + 12 x - 2.

Grouping like terms, 8 + 12 x - 2 = 12 x + (8 - 2):

12 x + (8 - 2)

Hint: | Subtract 2 from 8.

8 - 2 = 6:

12 x + 6

Hint: | Factor out the greatest common divisor of the coefficients of 12 x + 6.

Factor 6 out of 12 x + 6:

Answer: 6 (2 x + 1)

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Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height qt which the
motikmotik

Answer:

The shortest height is 36 inches

Step-by-step explanation:

Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it

This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;

The multiples of both are as follows;

12 - 12, 24,36,48,60•••••

18-18,36,54,72••••••

We can see that at the point 36, both have their first multiple match

So we can say that the lowest common multiple of 18 and 12 is 36

3 0
3 years ago
David is buying a cheese wheel priced at \$650$650dollar sign, 650 before tax. The store charges 8\%8%8, percent sales tax.
lozanna [386]

Answer:

$702

Step-by-step explanation:

To find the total price of the cheese wheel that David is buying, we need to multiply the original cost to sales tax first.

Original Cost = $650

Sales Tax Percentage= 8% or 0.08

Now let's solve for how much the sales tax is.

Sales Tax = 0.08 x 650

Sales Tax = $52

Now to get the price including the tax, we simple add the original cost to the sales tax.

Total Price = $650 + $52

Total Price = $702

So the cheese wheel that David bought is $702 with tax included.

7 0
3 years ago
Read 2 more answers
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1
olasank [31]

Answer:

1,500

Step-by-step explanation:

Ratio of Sugar to Flour: 5:8 -> 25:40

Ratio of Flour to Baking Soda: 10:1 -> 40:4

Sugar to Flour to Soda: 25x:40x:4x

\frac{40x}{(4x+60)} = \frac{8}{1} -> x = 60

Sugar = 25x = 1,500

Hope this helps :)

7 0
3 years ago
Select the correct answer from the drop-down menu. Find the solution set. The solution set for 5v2 – 125 = 0 is .
kozerog [31]

your answer should be (-5,5) sorry if im wrong tho and if im wrong plz correct me

5 0
4 years ago
Read 2 more answers
An elevator travels 117 ft in 6.5 seconds what is the elevators unit rate
puteri [66]

Answer:

The elevator need to climb 117 feet and it reaches 117 feet in 6.5 seconds only. Now, let’s solve for the unit rate of the elevator. What is it’s speed. => 117 feet is the distance that the elevator needs to climb. => 6.5 seconds is the now. To find the speed let’s follow that formula. S = d/t => 117 feet / 6.5 seconds => 18 feet per seconds Unit rate of the elevator speed = 18 feet/s

3 0
3 years ago
Read 2 more answers
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