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Makovka662 [10]
3 years ago
15

The cost (in dollars) of a custom made sweatshirt is represented by 3.5n +29.99, where n is the number of different colors in th

e design write a simplified expression that represents the cost of 15 sweatshirts.
Mathematics
1 answer:
juin [17]3 years ago
8 0

Answer:

52.5n+449.85

Step-by-step explanation:

The cost is given for <em>1 sweatshirt</em>. To find the cost of 15 sweatshirts, we need to multiply the expression by 15. Let's do this:

15(3.5n+29.99)\\=15(3.5n+29.99)\\=15(3.5n)+15(29.99)\\=52.5n+449.85

This is the expression that represents the cost of 15 sweatshirts.

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Answer:

T represents the amount of time it will take him to travel 200 meters if he swims at 45 meters per minute.

Step-by-step explanation:

4 0
3 years ago
Does the following infinite series converge or diverge?
Vladimir79 [104]
The nth term is (presuming the denominator on the first is a typo)

-\dfrac{n}{(-3)^n}

The ratio of successive terms is

\dfrac{ \frac{n+1}{(-3)^(n+1)}}{\frac{n}{(-3)^n}} = \frac{n+1}{-3n}

The limit is -1/3, absolute value less than 1, so the series converges.  It has a sum -- that's what converges means.

7 0
4 years ago
In the table, x and y are in a proportional relationship. у 3 -5.4 5 -9.0 9 -16.2 12 -21.6 Let x be the independent variable. Wh
aev [14]

Answer:

A. -1.8

Step-by-step explanation:

If x is the independent variable and y is the dependent variable, therefore constant of proportionality would be:

k = y/x

Using any pair of values from the table, we can find k. Let's use (3, -5.4):

k = y/x = -5.4/3

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4 0
3 years ago
What is the value of the geometric sequence for which a1=10 and r=0.5?
tiny-mole [99]
The formula for an infinite geometric sequence is the following:

S_{∞}= \frac{a_{1}}{1-r}

Just substitute the values of a_{1} and r into the formula.

S_{∞}=\frac{10}{1-0.5}
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Therefore, the answer is 20.
3 0
3 years ago
I have 2 questions
ivann1987 [24]
When given a literal equation, you will often be asked to solve the equation for a given variable. The goal is to isolate that given variable. The process is the same process that you use to solve linear equations; the only difference is that you will be working with a lot more letters, and you may not be able to simplify as much as you can with linear equations.

2: x = -5/3 ; y = -4/3 (-5/3, -4/3)
8 0
3 years ago
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