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3 years ago

For each sequence, find the first 4 terms and the 10th term.a.) n + 5b.) 2n – 1

1 answer:

4 0

For these, n is equal to the term you want. So you substitute the number in for whichever term you want. This means:

a) 1 (1st term) + 5 = 6
2 (2nd term) + 5 = 7
3 (3rd term) + 5 = 8
4 (4th term) + 5 = 9
10 (10th term) + 5 = 15

And so on for b (not going to keep writing the term, I’m sure you get that by now.

b) 2(1) - 1 = (2x1) - 1 = 1
2(2) - 1 = (2x2) - 1 = 3
2(3) - 1 = (2x3) - 1 = 5
2(4) - 1 = (2x4) - 1 = 7
2(10) - 1 = (2x10) - 1 = 19

Hope this helps :)

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the boat in calm water is 30 km / h. How far can tourists travel by boat if they have to return after 2 hours to the place from

xeze [42]

Answer:

60km

Step-by-step explanation:

They travel 30km in the first hour, then turn back and travel the same 30km backwards.

7 0

3 years ago

Given -16 = m over 5 -18; prove m=10

Aleks04 [339]

$- 16 = \frac{m}{5} - 18 \\ = > - 16 = \frac{m - 18 \times 5}{5} \\ = > -16 \times 5 = m - 90 \\ = > - 80 = m - 90 \\ = > - 80 + 90 = m \\ = > 10 = m \\ = > m = 10$
Hence provided

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4 years ago

How many yards are in 3 times of 4 yards 2 foot

Len [333]

4 yards and 2 feet is equal 14 feet since each yard is made up of 3 feet.

1 yard = 3 feet.

So if we take 14 feet and multiply that by 3 we get 42 feet.

42/3 is equal to about 14 yards in total

So the answer is 14 yards.

6 0

3 years ago

A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140

amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0

3 years ago

The least common multiple of 4 and 7

shusha [124]

The answer is 28. My answer is correct. 7, 14& 21 can't be the LCM son the answer should be 28.

5 0

3 years ago

For each sequence, find the first 4 terms and the 10th term.a.) n + 5b.) 2n – 1​

For each sequence, find the first 4 terms and the 10th term.a.) n + 5b.) 2n – 1