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iren2701 [21]
3 years ago
14

What is the 12th term of the linear sequence below? 7,9,11,13,15

Mathematics
2 answers:
Andrew [12]3 years ago
6 0
The answer should be 29
nordsb [41]3 years ago
6 0

Answer:

The 12th term would be 29

<u>Step-by-step explanation:</u>

First find the Algebraic expression:-

Xn = dn + b

'd' means common difference, which is 2 in this sequence.

'b' means 'first term- d'

So, b = 7 - 2

b = 5

Xn = 2n + 5

Now, to find the 12th term, substitute 12 in the place of 'n':-

2 x 12 + 5

<u>29 is the 12th term!</u>

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The recipe for cereal squares uses the ratio 20 large marshmallows to 3 cups of cereal. The ratio of mini-marshmallows to large
Nadya [2.5K]

The relationships are:

20 large marshmallows = 3 cups cereal

3 mini marshmallows = 1 large marshmallow

 

Therefore if there are 6 cups cereal, so we also get 40 large marshmallows. Since for every 1 large, we need 3 mini, hence:

mini marshmallows = 40 * 3 = 120

4 0
3 years ago
Emily begin piano practice at 3:25 she finished at 5:00 how long did she practice​
S_A_V [24]

Answer: 1 hour 35 minutes

assuming both times were p.m. or a.m. and not one of each

Step-by-step explanation:

60 minutes in an hour.

3 hours 25 minutes = 205 minutes

5 hours = 300 minutes

300-205 = 95 minutes

95 minutes = 1 hour (60 minutes) and  35 minutes

3 0
3 years ago
A drawer contains quarters and nickels. There are 200 total coins valuing $30.00. Think about a system of equations that can be
Margaret [11]

Answer:

100

Step-by-step explanation:

Let n and q represent the numbers of nickels and quarters, respectively. A suitable system of equations is ...

  n + q = 200 . . . . . . there are 200 coins in the drawer

  5n +25q = 3000 . . .their value is $30.00

For mixture problems like this, it is often a good idea to substitute for the variable representing the contributor of lower value. That is, we want to write an expression for n that we can use for substitution.

Using the first equation to solve for n, ...

  n = 200 - q

Substituting this into the second equation gives ...

  5(200 -q) +25q = 3000

  1000 +20q = 3000 . . . . . . simplify

  20q = 2000 . . . . . . . . . . . . subtract 1000

  q = 100 . . . . . . . . . . . . . . . . divide by 20

  n = 200 -q = 100 . . . . . . . . the number of nickels, as we want

_____

<em>Comment on the solution</em>

We solved for q, then had to do an extra step to find the value of n that the problem asks for. Had we written q = 200-n and used that for substitution, we would have ended with the equation -20n = -2000. This would give the answer for n directly (with no additional steps required).

Sometimes working with negative numbers is uncomfortable or results in errors, so we chose to use the solution method that would avoid negative numbers.

___

<em>Comment on the problem statement</em>

We are told about coins in a <u>drawer</u>, and we are asked about coins in a <u>jar</u>. There is not enough information to answer the question asked. We have had to assume that both refer to the same quantity of coins—an assumption that is not supported by anything in the problem statement.

8 0
3 years ago
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Was doing my work and need help
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3/4 divide by 5 is equal to 3/20
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(A)+(B)=8 I need help for this question please, and thanks. :) 10 pts!!
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You haven't included enough information for the question, but assuming that a and b are the same then a is 4 and b is 4
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3 years ago
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