To simply the expression,we should remember an ! in math represents every number (til 1) before that one multiplied or "the product of the integers from 1 to n"

So now that we have the definitions we can simplify by finding the values of each:

(9x8x7x6x5x4x3x2x1)-(4x3x2x1)(5x4x3x2x1)

After simplifying this will equal to 3600

6 0

2 years ago

A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The

malfutka [58]

We can use the Front Outside Inside Last (FOIL) method to expand the double bracket

$(3x+5)(5x-1)$

Front ⇒ $(3x)(5x)=15 x^{2}$
Outside ⇒ $(3x)(-1)=-3x$
Inside ⇒ $(5)(5x)=25x$
Last ⇒ $(5)(-1)=-5$

Put the four terms together we have
$15 x^{2} -3x+25x-5$ , then collect like terms
$15 x^{2} +22x-5$

5 0

2 years ago

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What is 10/8 in simplest form

aliya0001 [1]

10/8 in simplest form:

First, we can start off by finding the GCF of the denominator and the numerator. To do so, we need to list the factors of each of them and find the common ones.

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

We can see that our common factors are 1 and 2, considering that both the numerator and denominator has the same factors (1 and 2). Since we have our common factors, we need to find the greatest. Which is the greatest out of 1 and 2? The GCF is 2 because it is bigger than 1.

Second, divide the numerator and the denominator by the GCF (2).
$10 \div 2 = 5 \\ 8 \div 2 = 4$

Third, now we can revise our fraction and turn it into the simplest form. Take the two numbers you just got above us and put them in their numerator and denominator spot. You should get: $\frac{5}{4}$

Answer in fraction form: $\fbox {5/4}$
Answer in decimal form: $\fbox {1.25}$
Answer in mixed number form: $\fbox {1 1/4}$

4 0

3 years ago

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