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levacccp [35]
2 years ago
15

Jonathan bought 6 cans of paint and 2/3 of a pint of special paint additive formulated to reduce mildew. Before painting his hou

se, he divided the additive equally among the 6 cans of paint. How much additive did he put in each can?
Mathematics
1 answer:
gayaneshka [121]2 years ago
5 0

Answer:

1/9 pint

or 2/9 cup

Step-by-step explanation:

This question is asking us to <em>divide </em>2/3 pint among 6 cans.

2/3 ÷ 6

2/3 × 1/6

 = 2/18

 = 1/9 pint or 2/9 cup additive

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a truck rental company charges $19.95 to rent a truck plus $0.24 per mile driven. Find the cost to rent a truck and drive 188 mi
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The general term for the sequence 2, 4, 8, 16, 32, . . . is
Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

r_1=\frac{4}{2}=2

r2=(third term)/(second term)

r_2=\frac{8}{4}=2

r3=(fourth term)/(third term)

r_3=\frac{16}{8}=2

r4=(fifth term)/(fourth term)

r_4=\frac{32}{16}=2

we can see that all four ratios are same

r_1=r_2=r_3=r_4=2

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

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Let's assume

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a_1=2

now, we can use formula

a_n=a_1 (r)^{n-1}

we can plug values

and we get

a_n=2(2)^{n-1}

a_n=2^1(2)^{n-1}

a_n=(2)^{n-1+1}

a_n=(2)^{n}..................Answer


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