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quester [9]
4 years ago
7

Tony brought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6

off. Write and evaluate expressions to find who spent more money.
Mathematics
2 answers:
ladessa [460]4 years ago
7 0
Tony- 3•4+7=$19
Mario- 6•4-6=$18
Tony spent more.
Leona [35]4 years ago
4 0

Answer:

Tony spent more money.

Step-by-step explanation:

For tony,

The total packs of pencil = 3,

Price of each pack = $ 4,

So, the total amount spent by him/her on packs of pencil = 3 × 4

The price of the pencil box bought by him/her = $ 7,

So, his/her spending = 3 × 4 + 7 = 12 + 7 = 19

For Mario,

Number of binders = 4,

Price of each binder = $ 6,

So, the total cost of binders = 4 × 6

After getting a coupon of $ 6 off,

His/her total spending = 4 × 6 - 6 = 24 - 6 = 18

∵ 19 > 18

Hence, Tony spent more money.

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Answer:

The explicit form for this sequence is f(n)=f(1)-\frac{n-1}{10} for all n\geq 1.

Step-by-step explanation:

The explicit form of an arithmetic sequence  of numbers   is given by the formula  f(n)=f(1)+(n-1)d, where  f(1)  is the first term of the sequence,  d  is the difference between two consecutive terms of the sequence, and n\geq 1.

We know that  the first four elements for the arithmetic sequence are {f(1)=\frac{1}{5},f(2)=\frac{1}{10},f(3)=0, f(4)=-\frac{1}{10}}.

To find the general formula for this problem we only need to calculate d in the above formula.

For n=2, we have

f(2)=f(1)+(2-1)d=f(1)+d

if we replace f(1)=\frac{1}{5} and f(2)=\frac{1}{10} and solve for d we obtain  

\frac{1}{10}=\frac{1}{5}+d

d=\frac{1}{10}-\frac{1}{5}=-\frac{1}{10}

Therefore the explicit form is  f(n)=f(1)-\frac{n-1}{10} for all  n\geq 1.

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