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3 years ago

14

A school has 17 tables in the cafeteria. Each table seats 12 students. What is the

2 answers:

Scorpion4ik [409]3 years ago

8 0

Answer: 204 students

Step-by-step explanation: To find out the greatest number of students that can fit at the 17 tables in the school cafeteria, we simply need to multiply the number of students that can fit at each table by the number of tables.

12 students can fit at 1 table and there are 17 tables.

So we have (12)(17) which is 204.

So the greatest number of students that can be seated din the cafeteria is 204 students.

Ira Lisetskai [31]3 years ago

5 0

Answer:

I hope it's helps please mark me brainliest

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A car rental costs $32 as a base fee, plus $28 per day. Use the explicit rule f (n )= 28n + 32

alexdok [17]

Answer:

The charges paid for the first four days are:

<u>$144</u>.

Step-by-step explanation:

To obtain the charges paid for the first 4 days, you must use the given explicit rule given:

f (n) = 28n + 32

Where:

<em>n = Number of days the person rents the car.</em>

As we need to obtain the charges to 4 days, we replace this value in the explicit rule:

f (n) = 28n + 32
f (4) = 28(4) + 32
f (4) = 112 + 32
<u>f (4) = 144</u>

With these calculations, <u>you can identify the charges paid for the first 4 days are $144</u>, <em>where $112 is the money by each day of the four days and $32 is the base fee</em>.

3 0

2 years ago

Match each series with the equivalent series written in sigma notation

PIT_PIT [208]

Answer:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

$3 + 12 + 48 + 192 + 768$

The expression can be written as:

$3 \to 3*4^{0$ --- 0

$12 \to 3 * 4^{1$ ---- 1

$48 \to 3 * 4^{2$ --- 2

$192 \to 3 * 4^{3$ ---- 3

$768 \to 3 * 4^{4$ ---- 4

For the nth term, the expression is:

$Term = 3 * 4^{n$ ---- n

So, the summation is:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

Solving (b):

$4 + 32 + 256 + 2048 + 16384$

The expression can be written as:

$4 \to 4 * 8^0$ --- 0

$32 \to 4 * 8^1$ ---- 1

$256 \to 4 * 8^2$ --- 2

$2048 \to 4 * 8^3$ ---- 3

$16384 \to 4 * 8^4$ ---- 4

For the nth term, the expression is:

$Term \to 4 * 8^n$ ---- n

So, the summation is:

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

Solving (c):

$2 + 6 + 18 + 54 + 162$

The expression can be written as:

$2 \to 2 * 3^0$ --- 0

$6 \to 2 * 3^1$ ---- 1

$18 \to 2 * 3^2$ --- 2

$54 \to 2 * 3^3$ ---- 3

$162 \to 2 * 3^4$ ---- 4

For the nth term, the expression is:

$Term \to 2 * 3^n$ ---- n

So, the summation is:

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

Solving (d):

$3 + 15 + 75 + 375 + 1875$

The expression can be written as:

$3 \to 3 * 5^0$ --- 0

$15 \to 3 * 5^1$ ---- 1

$75 \to 3 * 5^2$ --- 2

$375 \to 3 * 5^3$ ---- 3

$1875 \to 3 * 5^4$ ---- 4

For the nth term, the expression is:

$Term \to 3 * 5^n$ ---- n

So, the summation is:

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

5 0

2 years ago

List the 3-membered subsets of the set {1,2,3,4,5,6).

Alexxandr [17]

Look at the attachment. Hope it helps!

8 0

2 years ago

Can you please help me on 3n-2(-2-7n)=4(1-8n)

barxatty [35]

Answer:

n=0

Step-by-step explanation:

3n+4+14n=4-32n

3n+14n=-32n

17n=-32

17n+32n=0

49n=0

6 0

2 years ago

You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine

igomit [66]

Answer:

2.09.ft/min

Step-by-step explanation:

There is a formula for the linear velocity using rpm:

V = (2π)/60 * r * rpm

V = (2π)/60 * 2ft * 10 = 2.09ft/min

4 0

2 years ago

Read 2 more answers