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2 years ago

Number 3 answered please

Mathematics

1 answer:

Darya [45]2 years ago

3 0

Answer:

Step-by-step explanation:

n=3p, d=p-2

10d+5n+p=110 using n and d from above makes this become

10(p-2)+5(3p)+p=110

10p-20+15p+p=110

26p-20=110

26p=130

p=5

n=3p=3(5)=15

d=p-2=5-2=3

So she has 3 dimes, 15 nickels, and 5 pennies.

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In an arithmetic sequence, the nth term an is given by the formula An=a1+(n−1)d, where a1

Gnesinka [82]

Answer:

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term $a_n$ is given by the formula

$A_n=a_1+(n-1)d$

Where $a_1=first term$

d=Common difference

In an geometric sequence, the nth term is given by

$a_n=a_1r^{n-1}$

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

$a_1=1,a_2=4,a_3=7,a_4=10$

$d=a_2-a_1=4-1=3$

$d=a_3-a_2=7-4=3$

$d=a_4-a_3=10-7=3$

$r_1=\frac{a_2}{a_1}=\frac{4}{1}=4$

$r_2=\frac{a_3}{a_2}=\frac{7}{4}$

$r_1\neq r_2$

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

$a_{30}=1+(30-1)(3)=1+29(3)=1+87=88$

Hence, the 30th term of sequence is 88.

5 0

2 years ago

Mary beth is making 7,763 millilters of punch she uses 3liters 26 millilters of orange juice how many liters of pinapple juice d

AlladinOne [14]

Answer:

<h3> 4.737 litres</h3>

Step-by-step explanation:

Total volume of punch beth is making = 7,763milliliters

If the punch contains the mixture of orange juice and pineapple juice then;

Volume of punch = Volume of pineapple juice + volume of orange juice

If she uses 3 litres 26 millilitres of orange juice.

converting the volume of orange juice to millilitres (1 litre = 1000 millilitres)

Volume of orange juice = 3000 millilitres + 26 millilitres = 3,026 millilitres

Volume of pineapple juice needed = Total volume of punch - Volume of orange juice

Volume of pineapple juice needed = 7,763 - 3,026

Volume of pineapple juice needed = 4,737millilitres

Converting the volume of pineapple to litres = 4,737/1000 = 4.737litres

The amount of liters of pineapple juice mary beth need to add to complete her punch is 4.737 litres

6 0

3 years ago

lewis has a bucket with a 5 gallon capacity. lewis puts 12 pints of soapy water in the bucket to wash his car. how many gallons

Tasya [4]

12 pints of soapy water.

8 pints = 1 gallon.

1 pint = 1/8 gallon

12 pints = 12*(1/8)

12 pints = (12/8) gallons

= 3/2 = 1.5 gallons.

Since the bucket is 5 gallon capacity, It can hold:

5 - 1.5

= 3.5 gallons more.

But 1 gallon is = 4 quarts.

3.5 gallons = 3.5 * 4 = 14 quarts more.

6 0

3 years ago

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mel-nik [20]

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3 years ago