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nignag [31]
2 years ago
8

The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount

plus a penalty for the number of weeks that the video is overdue. The equations that model the cost, y, in dollars for videos that are x weeks overdue are shown in the table.
Mathematics
2 answers:
Sindrei [870]2 years ago
5 0

Answer:

Cumberland and Lincoln


rusak2 [61]2 years ago
3 0

Answer: A. Cumberland and Lincoln

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Jamal works in a city and sometimes takes a taxi to work. The taxicabs charge $1.50 for the first 1/5 mile and $0.25 for each ad
Natalija [7]
1.50+.25x=3.75
.25x=2.25
x=9
9/5+1/5=10/5
2 miles
4 0
2 years ago
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Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th
Luden [163]
We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height 

volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height 
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume

Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this

cones and cylinders

</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>

</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height 

substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
4 0
2 years ago
The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu
bogdanovich [222]

Answer:

Option A 50-page photo album holds 400 photographs.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

step 1

<em>Find the value of k</em>

For the point (3,24)

x=3,y=24

k=y/x

k=24/3=8

The equation is equal to

y=8x

step 2

<em>Verify each statement</em>

case A) 50-page photo album holds 400 photographs.

For x=50

substitute in the equation

y=8(50)=400 -----> is correct

case B) 80-page photo album holds 560 photographs.

For x=80

substitute in the equation

y=8(80)=640 -----> is not correct

case C) 100-page photo album holds 8,000 photographs.

For x=100

substitute in the equation

y=8(100)=800 -----> is not correct

case D) 900-page photo album holds 8,400 photographs.

For x=900

substitute in the equation

y=8(900)=7,200 -----> is not correct

9 0
2 years ago
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In the following diagram \overline{DE} \parallel \overline{FG}
Gnesinka [82]

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

m<BAC + 149° = 180°

m<BAC = 180° - 149°

m<BAC = 31°

<x = <BAC (vertical angles)

m<x = 31° (substitution)

7 0
2 years ago
Which function represents the cost of a pizza with n Toppings
alukav5142 [94]

Correct answer is B... You can plug in values for n.  Plug in 1 for n and the out put is 12.  Plug in 2 for n and the output is 13.5

7 0
2 years ago
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