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Marianna [84]
3 years ago
12

A factory produces 5-packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams

and 95 grams. The cardboard for each package has a mass of 15 grams. Write a compound inequality to represent of a single pencil in a pack. Can each pencil have a mass of 10.5 grams?
Mathematics
1 answer:
ollegr [7]3 years ago
8 0
Given:
1 pack = 5 pencils and cardboard.
1 pack must be between 60 grams and 95 grams

60g < x < 95g ; where x represents 1 pack.

Card board: 15 grams.

95g - 15g = 80g maximum total weight of 5 pencils
80g / 5 = 16g maximum weight of a single pencil

60g - 15g = 45g minimum total weight of 5 pencils
45g / 5 =9g minimum weight of a single pencil

9 < x < 16 ; where x represents a single pencil in the pack.

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Answer:

576

Step-by-step explanation:

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8 0
3 years ago
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2 years ago
Water is placed in a cellular bucket on a bench The book has a diameter of 12 in and a height of 12 in The bucket is capable of
Ilya [14]

Answer:

bucket of water = 50.397 lbs

Step-by-step explanation:

Pi(r^2)(h) = volume

3.14(6^2)(12) = 1356.48 in^3 = volume of bucket

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1356.48/1728 = 0.785 ft^3 (volume of bucket)

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2 years ago
R= 4/3(p-q) <br><br>solve for p ​
Naya [18.7K]

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3 0
2 years ago
Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
rosijanka [135]
Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
2
+
12
y
y
2
+
12
y
.

(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
4 0
2 years ago
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