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3 years ago

A sporting goods company can ship 6 footballs in each carton how many cartons are needed to ship 75 footballs

Mathematics

2 answers:

Tpy6a [65]3 years ago

4 0

Hey You!

75 / 6 = 12.5

So, 13 cartons are needed to ship 75 footballs.

Harlamova29_29 [7]3 years ago

4 0

That's easy. The equation is simply
$75 \div 6 = 12.5$
Then you'll get a decimal you simply round that up to get 13 cartons.

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(2x +1) -7 (-6x+9) what is the answer if using the Distributive Property?

Margarita [4]

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = a*b + a*c

(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9

= 2x + 1 + 42x - 63 {Combine like terms}

= 2x + 42x + 1 - 63

= 44x - 62

5 0

3 years ago

I got the first two can you help me with the last one PLZ

Nat2105 [25]

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

$a_1 =6\\a_2 = 18\\a_3 = 54$

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

$r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3$

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

$a_n = a_{n-1} * r$

In case of given sequence,

$a_n = a_{n-1} * 3$

So to find the 5th term

$a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486$

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

$a_n = a_1 * r^{n-1}$

Putting the values of a_1 and r

$a_n = 6 * (3)^{n-1}$

Hence,

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#LearnwithBrainly

4 0

3 years ago

Maria has gotten scores of 75, 77, 81 and 84 (out of a possible 100) on the four midterm examinations for a math class. If each

timofeeve [1]

Answer:

93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

Step-by-step explanation:

Given;

Each midterm exam = 15% of total grade

Final exam = 40% of total grade

Midterm scores = 75, 77, 81 and 84 (out of a possible 100)

Total midterm score = 75+77+81+84 = 317

To determine the grade of the four midterm exams in the total score;

We need to find the 15% of the midterm score;

= 15% of 317

= 0.15×317

= 47.55 %

To get a minimum score of 85 % of the total score, the amount of the total score to be secured in the final exam is;

Final exam = 85% - 47.55% = 37.45%

Since final exam is 40% of the total score;

It means she need to get 37.45% out of 40% of the final exam.

Converting it to a score of 100;

Final exam score = 37.45/40 × 100

Final exam score = 93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

3 0

3 years ago

Rise over run, unit rate, constant rate of change, and the variable m all represent slope.

nikklg [1K]

Answer:

True.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the value of C.<br><br>Thanks for the help.

vlada-n [284]

Answer:

You must be trolling. 48 degrees

Step-by-step explanation:

48 plus 42 = 90

7 0

3 years ago

Read 2 more answers