Answer:4
,
5
)
Step-by-step explanation:
See a solution process below:
Explanation:
First, subtract
3
from each segment of the system of inequalities to isolate the
x
term while keeping the system balanced:
−
3
−
12
<
−
3
+
3
−
3
x
≤
−
3
+
15
−
15
<
0
−
3
x
≤
12
−
15
<
−
3
x
≤
12
Now, divide each segment by
−
3
to solve for
x
while keeping the system balanced. However, because we are multiplying or dividing inequalities by a negative number we must reverse the inequality operators:
−
15
−
3
>
−
3
x
−
3
≥
12
−
3
5
>
−
3
x
−
3
≥
−
4
5
>
x
≥
−
4
Or
x
<
5
and
x
≥
−
4
Or, in interval notation:
[
−
4
,
5
)
Answer:
91.14 feet
Step-by-step explanation:
Given:
In a park,a sidewalk is built around the edge of a circular pond.
The sidewalk is 7 feet wide, and the pond measure 15 feet across.
Question asked:
What amount of railing would be needed to go completely around the outer edge of the sidewalk?
Solution:
From distance from one edge of the pond to the another = 15 feet
That means diameter of the pond = 15 feet
And width of the sidewalk = 7 feet all around
combined diameter = 15 + 7 + 7 = 29 feet
Radius,r = 
That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet
Now, we will have to find circumference of outer circular edge of sidewalk:


Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.
Answer:
The daily cost is $99.39.
Step-by-step explanation:
In order to find the answer with the information provided, you have to divide the price given for 3 nights by the number of nights to determine the price per night which would be her daily cost:
$298.17/3=$99.39
According to this, the answer is that the daily cost is $99.39.
Answers
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