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ioda
3 years ago
12

a person bought 8 items at a market and received $8 in change. if each item was priced at $4, how much did the person give the v

endor when paying?
Mathematics
1 answer:
mariarad [96]3 years ago
3 0

If a person bought 8 items and each item was priced at $4, that means the total amount spent was $32.

(8)(4)=32

The person received 8 dollars in change. This means that the person payed 8 dollars more than what they spent. Well, we just found out how much they spent, so we can find out how much money the person gave the vendor.

Let p = amount of money paid by the person.

32+8=p

p=40

The person gave the vendor $40.

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3 years ago
1. Solve the inequality.<br> 2(b - 8) &gt; 12
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Helpppppppppppppppppp
Anuta_ua [19.1K]

Option A:

\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} -  8 x^{6}-10 x^{5}

Solution:

Given expression \left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right).

To find the product of the above expression:

\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)

First multiply first two factors with each term.

           =(x^{4} \times 3 x^{3}- x^{4} \times 2 ) \left(4 x^{2}+5 x\right)

Using exponent rule: a^m \cdot a^n=a^{m+n}

            =(3 x^{7}- 2x^{4} ) \left(4 x^{2}+5 x\right)

Now multiply these two factors with each term.

            =3 x^{7} (4 x^{2}+5 x)- 2x^{4} \left(4 x^{2}+5 x\right)

            =(4 x^{2} \times 3 x^{7} +5 x \times 3 x^{7} )-  \left(4 x^{2} \times 2x^{4}+5 x \times 2x^{4}\right)

Using exponent rule: a^m \cdot a^n=a^{m+n}

            =(12 x^{9} +15 x^{8} )-  (8 x^{6}+10 x^{5})

           =12 x^{9} +15 x^{8} -  8 x^{6}-10 x^{5}

\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} -  8 x^{6}-10 x^{5}

Hence option A is the correct answer.

4 0
3 years ago
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