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3 years ago

A resort owner has 12 different jobs. How many ways can these jobs be assigned to four people?

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

3 ways because 12 divided by 4 is 3.

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The sum of three consecutive integers is 267. What is the largest integer?

vazorg [7]

Answer:

Step-by-step explanation:

The middle number of three consecutive integers is thhe mean of the others, so it is one third of the sum of three consecutive integers

267:3 = <u>89 </u> - the middle number

so:

89 - 1 = 88 - the smallest number

89 + 1 =<u> 90</u> - the largest integer

3 0

3 years ago

Which expression is the factorization of x² + 10x + 21?

Firlakuza [10]

The answer is (x+3)(x+7)

7 0

4 years ago

What is the area of the shaded triangle?

Rzqust [24]

Answer:30

Step-by-step explanation: act like both of the triangles are there, that is a rectangle 6 times 10 equals 60. 60 divided by 2 is 30

6 0

3 years ago

Simplify expression X^2+x-2/x^3-x^2+2x-2

professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

$\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}$

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

$= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}$

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

$= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}$

$=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}$

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

7 0

3 years ago

Afish is swimming 102 feet below the surface of the water i fer descents another 125 What subtraction expression can be used to

s344n2d4d5 [400]

You would simply do -102-125 to give -227 feet below the surface

7 0

3 years ago