What value is equivalent 4^3-3^2x(7-3)-80 What’s the answer?

It takes Amir 30 minutes to walk to work. If he drives, it takes him 1/3 of that time. What is the latest time that Amir can lea

UkoKoshka [18]

8:50 am

1/3 of 30 = 10 min (so it takes 10 min for him to drive to work)

9:00-10min = 8:50

5 0

3 years ago

Homework

Zolol [24]

Note: As you have missed to mention the first four terms of the Arithmetic sequence. So, I am randomly assuming that first four terms of the arithmetic sequence be 1, 3, 5, 7... This would anyhow make you understand the concept. So, I am solving your query based on assuming the first four terms of an Arithmetic sequence as 1, 3, 5, 7...

Part A)

What is the next term of this sequence?

Answer:

${\displaystyle \ a_{5}=9$ is the next term i.e. 5th term of the arithmetic sequence 1, 3, 5, 7...

Step-by-step explanation:

Considering the Arithmetic sequence with fist four terms

1, 3, 5, 7...

As we know that a sequence is termed as arithmetic sequence of numbers if the difference of any two consecutive terms of the sequence remains constant.

For instance, 1, 3, 5, 7... will be an arithmetic sequence having the common difference 2. Common difference is denoted by 'd'.

So,

Given the sequence

1, 3, 5, 7...

$d=3-1=2,d=5-3=2$

As $a_{1} = 1$ and $d = 2$

The next term i.e. 5th term can be found by using the $nth$ term of the sequence.

So, consider the nth term of the sequence $a_{n$

$\ a_{n}=a_{1}+(n-1)d$

Putting $n=5$ in, $a_{1} = 1$ and $d = 2$ in $\ a_{n}=a_{1}+(n-1)d$ to find the 5th term.

$\ a_{n}=a_{1}+(n-1)d$

$\ a_{5}=1+(5-1)2$

$\ a_{5}=1+(4)2$

${\displaystyle \ a_{5}=9$

So, ${\displaystyle \ a_{5}=9$ is the next term i.e. 5th term of the arithmetic sequence 1, 3, 5, 7...

Part B)

Writing down an expression, in terms of n for the nth term of the sequence

consider the nth term of the sequence $a_{n$

$\ a_{n}=a_{1}+(n-1)d$

Here, $a_{1}$ is the first term, $d$ is the common difference.

For example,

Given the sequence

1, 3, 5, 7...

$d=3-1=2,d=5-3=2$

As $a_{1} = 1$ and $d = 2$

The next term i.e. 5th term can be found by using the $nth$ term of the sequence.

So, consider the nth term of the sequence $a_{n$

$\ a_{n}=a_{1}+(n-1)d$

Putting $n=5$ in, $a_{1} = 1$ and $d = 2$ in $\ a_{n}=a_{1}+(n-1)d$ to find the 5th term.

$\ a_{n}=a_{1}+(n-1)d$

$\ a_{5}=1+(5-1)2$

$\ a_{5}=1+(4)2$

${\displaystyle \ a_{5}=9$

Keywords: arithmetic sequence, nth term, common difference

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7 0

4 years ago

Alexis and Paige work together as photographers for the local newspaper. Alexis is paid $25 for each news story she shoots and a

Naddik [55]

Answer:

The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.

Step-by-step explanation:

Given that:

Alexis charges $25 for each news story and $5 per picture.

Let,

n represent the number of news stories and p represent the number of pictures.

Alexis' total charges = $25n+5p$

Paige charges $15 for each news story and $10 per picture.

The variables will be same.

Paige's total charges = $15n+10p \\$

Alexis and Paige's charges will be added if newspaper hire them together.

Total charges paid by newspaper = $25n+5p+15n+10p=40n+15p$

Hence,

The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.

7 0

3 years ago

Jessica feeds her dog 3/4 pounds of dog food for each meal. Jessica has just bought 24 pounds of dog food. For how many meals wi

Leokris [45]

To calculate how many meals the dog food would last, we need to multiply 24 by 3/4, since 3/4 pounds is how much dog food the dog eats every meal.

24 * 3/4
= 18

Answer: 18 meals

Hope this helped!

4 0

3 years ago

One cup of cooked zucchini had 1.9 grams of protein. How much protein is in 0.5 cup of zucchini?

lions [1.4K]

One cup = 1.9 grams of protein
0.5 cup = 1.9 x 0.5 grams of protein
= 0.95 grams

5 0

3 years ago

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