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3 years ago

Eighteen less than three times a number is twice the number. Write and solve

Mathematics

1 answer:

goblinko [34]3 years ago

8 0

Answer:

The number is 18

Step-by-step explanation:

You can write an equation to represent this. Let x represent the unknown number.

3x - 18 = 2x

Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.

3x - 2x - 18 = 0

Simplify like terms.

x - 18 = 0

Move -18 to the right of the equals sign.

x = 18

Now that we know x = 18, we can substitute it into the problem.

"Eighteen less than three times 18 is two times 18."

18 x 3 = 54

54 - 18 = 36

36 is, in fact, two times 18. We can check this by dividing 36 by 2.

36 ÷ 2 = 18

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Express , twelve times a number minus six is less than or equal to

xenn [34]

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18 Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12 Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

3 0

3 years ago

Richard and Linda enjoy visiting Hilton Head Island, South Carolina. The distance from their home to Hilton Head is 870 mi, so t

lidiya [134]

Answer:

696 miles at the first day, and 174 miles at the second day.

Step-by-step explanation:

Given:

Richard and Linda enjoy visiting Hilton Head Island, South Carolina.

The distance from their home to Hilton Head is 870 miles.

So, the drive takes them 2 days.

<u>Richard and Linda travel four times as far the first day as they do the second day.</u>

Question asked:

How many miles do they travel each day?

Solution:

Let Richard and Linda traveled at the first day = $x\ miles$

Then Richard and Linda traveled at the second day will be = $4x\ miles$

Total distance from their home to Hilton Head = 870 miles

Traveled at the first day in miles + Traveled at the second day = 870

$4x+x=870\\ \\ 5x=870\\ \\ Dividing\ both\ sides\ by\ 5\\ \\ x=174\ miles$

By substituting the value:

Richard and Linda traveled at the first day = $x\ miles$ = 174 miles

Richard and Linda traveled at the second day will be = $4x\ miles$

$=4\times174=696\ miles$

Therefore, they traveled 696 miles at the first day and 174 miles at the second day.

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3 years ago

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20 POINTS I NEED ANSWER

Vika [28.1K]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the range of function g?<br> g (x) = x²+6x-5

zhannawk [14.2K]

y | y ≥ 14

have an amazing day <3

8 0

3 years ago

Enter an expression that shows take away 10 from the quantity 6×24 .

zloy xaker [14]

If the expression needs to be full it will look like this:
(6*24)-10
If the expression needs to be simplified it will either look like:
144-10
or
134

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3 years ago