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Reika [66]
3 years ago
11

The graph below shows the number of napkins arranged on different numbers of tables in a room: A graph is shown. The values on t

he x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 14, 28, 42, 56, and 70. Points are shown on ordered pairs 0, 0 and 1, 14 and 2, 28 and 3, 42 and 4, 56. These points are connected by a line. The label on the x axis is Number of Tables. The title on the y axis is Number of Napkins. What does the point (1, 14) on the graph represent? The ratio of napkins to tables is 15:1. There are 14 napkins for every 1 table. The ratio of tables to napkins is 15:1. There are 14 tables for every 1 napkin.
Mathematics
2 answers:
allsm [11]3 years ago
7 0
14 napkins for every one table is the outcome
DiKsa [7]3 years ago
3 0
The point (1,14) shows that if there is one table in the room, then it will be set with 14 napkins. The other points show that if there are more tables in the room, the same ratio holds ... there will be 14 napkins on EACH table.
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Step-by-step explanation:

ALGEBRA 1

Lilly S. asked • 08/16/17

3 girls get volunteer hours.

Katie, Elizabeth, and Siobhan voluenteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3 weeks.

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1 Expert Answer

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Best

Andy C. answered • 08/16/17

TUTOR 4.9 (27)

Math/Physics Tutor

SEE TUTORS LIKE THIS

We know nothing about Elizabeth hours, so that is where you assign the variable.

Elizabeth = X

Katie = X+3

Siobhan = X -1

Assuming this holds true over 3 weeks,

3(x+3) = 3X + 3(x-1)

3x + 9 = 3x + 3x - 3

3x + 9 = 6x - 3

0 = 6x - 3 - 3x - 9

0 = 3x - 12

12 = 3x

x=4

in one week:

Elizabeth volunteers 4 hours

Katie volunteers 7 hours

Siobhan volunteers 3 hours

over three weeks:

Elizabeth volunteers 12 hours

Katie volunteers 21 hours

Siobhan voluteers 9 hours

21 = 12 + 9, so yes it checks.

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Solution: Below! ^^

Detailed explanation:

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