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Sever21 [200]
2 years ago
13

Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calcula

te the average rate of change for the entire trip.
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
7 0

Answer:

Step-by-step explanation:

Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.

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You find the prime factorization by breaking the number down into other numbers that are prime.  Start by breaking up 312 into 39 * 8.  39 breaks up into 3 * 13, and 8 breaks up into 4 * 2 which breaks up into 2 * 2.  So the prime factorization of 312 is 3 * 13 * 2 * 2 * 2 or 3*13* 2^{3}.  When you multiply those together you'll get 312.
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URGENT please help!!! I need a explanation please!! You own a restaurant and can reopen as long as people seated at a table are
hram777 [196]

Answer:

1) Maximum number of tables that can be kept in the dinning room is 10 tables

2)The maximum number of customers, given 6 people per table is 60 customers

Step-by-step explanation:

The parameters given are;

Distance between people seated at different tables = 6 ft

Dimension of table = 2 m by 1.5 m

Number of people at a table = 6 people

Dimension of dinning;

Width = 12 m

Length = 20 m

Dimension of entrance;

Width = 20/21*30  m

Length = 10 m

With 6 meters between tables and a table with of 1.5, we have for the arrangement in the question;

3 tables = 4.5 m

Distance between = 2 × 6 = 12

4.5 + 12 = 16 m (More room required)

With two tables, we have;

Width of tables = 2×1.5 = 3 m

Distance between = 6 m

Dining room width required = 3 + 6 = 9 m

Therefore, the maximum tables in each row = 2

Given that the dining room area extends to the entrance area, total length = 30 m.

With 4 tables we have;

Length = 4 × 2 + 6 × 3 = 26

While on the entrance side of the dinning room area which is 20 m, we have 3 tables;

Length = 3 × 2 + 6 × 2 = 18

Therefore, both arrangements are acceptable;

Just on entering by the right the length = 20/21×30 m

Therefore, with 3 tables will required number due to proximity wit the door and tables arranged along the right wall of the dinning

1) Maximum number of tables that can be kept in the dinning room = 4 + 3 + 3 = 10 tables

2)The maximum number of customers, given 6 people per table = 6×10 = 60 customers.

4 0
3 years ago
How to write the inverse of 3x+4y=12 in f^-1 (x)?
mojhsa [17]
3x+4y=12

4y=12-3x

y=(12-3x)/4   <---------- This is f(x)

---------------------

3x+4y=12

3x=12-4y

x=(12-4y)/3

Therefore:

f⁻¹(x)=(12-4x)/3

=[4(3-x)]/3
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2 years ago
Find the y-intercept of the parabola y = x2 + 6x.<br><br> Can somebody help?
WINSTONCH [101]

Given:

The equation of the parabola is:

y=x^2+6x

To find:

The y-intercept of the parabola.

Solution:

We have,

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Putting x=0 in the given equation, we get

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y=0+0

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