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Luda [366]
3 years ago
6

Solve for x. Show your work. -12x < -12

Mathematics
2 answers:
tatyana61 [14]3 years ago
5 0

-12x < -12

Divide both sides by -12 and because you are dividing by a negative number you need to reverse the inequality sign.

The answer becomes x > 1

Eva8 [605]3 years ago
3 0

Step-by-step explanation:

-12x < -12

-12x/-12= x

-12/-12= 1

x < 1

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Four members from a ​"55"person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, an
liq [111]

Answer:

8,185,320 different leadership structures

Step-by-step explanation:

Since the order at which the members of the committee are chosen matters, this is a permutation of 4 out 55 people and it is given by:

n=\frac{55!}{(55-4)!}=55*54*53*52 \\\\n=8,185,320

8,185,320 different leadership structures are​ possible.

3 0
3 years ago
3. Which polynomial is equal to
Nataly_w [17]

Which polynomial is equal to  (-3x^2 + 2x - 3) subtracted from  (x^3 - x^2 + 3x)?

<h3><u><em>Answer:</em></u></h3>

The polynomial equal to (-3x^2 + 2x - 3) subtracted from  (x^3 - x^2 + 3x) is x^3 + 2x^2 + x + 3

<h3><u><em>Solution:</em></u></h3>

Given that two polynomials are: (-3x^2 + 2x - 3) and (x^3 - x^2 + 3x)

We have to find the result when (-3x^2 + 2x - 3) is subtracted from  (x^3 - x^2 + 3x)

In basic arithmetic operations,

when "a" is subtracted from "b" , the result is b - a

Similarly,

When (-3x^2 + 2x - 3) is subtracted from  (x^3 - x^2 + 3x) , the result is:

\rightarrow (x^3 - x^2 + 3x) - (-3x^2 + 2x - 3)

Let us solve the above expression

<em><u>There are two simple rules to remember: </u></em>

  • When you multiply a negative number by a positive number then the product is always negative.
  • When you multiply two negative numbers or two positive numbers then the product is always positive.

So the above expression becomes:

\rightarrow (x^3 - x^2 + 3x) + 3x^2 -2x + 3

Removing the brackets we get,

\rightarrow x^3 - x^2 + 3x + 3x^2 -2x + 3

Combining the like terms,

\rightarrow x^3 -x^2 + 3x^2 + 3x - 2x + 3

\rightarrow x^3 + 2x^2 + x + 3

Thus the resulting polynomial is found

5 0
3 years ago
A rectangular board is 1300 millimeters long and 800 millimeters wide. What is the area of the board in square meters?
hichkok12 [17]

Multiply 1300 mm by 800 mm to get 1040000 mm. Then convert this to meters. 1 meter=1000 mm. Therefore, 1040000 mm is the same as 1040 meters.

3 0
3 years ago
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pou
Katyanochek1 [597]

Answer:

He ended up with about 1 pound less grapes.

Step-by-step explanation:

8 0
3 years ago
A group of workers can plant 5/8 acres in 4/5 days. What is the unit rate in acres per day?
Mila [183]
In order to find the unit rate of acres per day, or in other words, how many acres can they plant in one day, you must divide 5/8, the number of acres planted, by 4/5, the number of days it took to plant. When you divide the two fractions, first set up an expression:
5/8<span>÷4/5

Then, to make things simpler, turn the division expression into a multiplication statement so that you have 5/8*5/4. Then multiply straight across and you get your answer as 25/32. This means that the workers can plant 25/32 acres per day.</span>
3 0
3 years ago
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