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son4ous [18]
3 years ago
7

01:57:09 In a city, the distance between the library and the police station is 3 miles less than twice the distance between the

police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Mathematics
1 answer:
tester [92]3 years ago
8 0

Answer:

Distance between the police station and the fire station be 4 miles

Step-by-step explanation:

Let distance between the police station and the fire station be x miles.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

Distance between the library and the police station =2x-3

Also, distance between the library and the police station is 5 miles.

2x-3=5\\2x=3+5\\2x=8\\x=\frac{8}{2}\\ x=4\,\,miles

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the diameter of a circle is 12yd. find the exact area and circumference of the circle. write your answers in terms of pie
Scorpion4ik [409]

So,

The area of a circle is A = \pi *radius^{2} \\and\\Radius = Diameter \div 2\\\\So\\A = \pi * 6^2\\\\A = 36\pi


For Circumfrence


C = \pi * diameter\\C = 12\pi

3 0
3 years ago
John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times t
kobusy [5.1K]

Answer:

4

Step-by-step explanation:

4*4=16

(4+8)4=48

16*3=16!

5 0
3 years ago
Read 2 more answers
A rental truck cost $48 plus $0.40 per mile.
Natalija [7]
(a) If we let x be the number of miles and y be the total cost, the equation for relating the number of miles and the total cost would be,
                                y = 0.4x + 48

(b) If the rental cost is 60,
                               60 = 0.4x + 48
The value of x from the equation is 30.

(c) You may prepare the table of values by allowing x be any number and then solve for y until we arrive with an answer for y being equal to 60. 
3 0
3 years ago
These are the options<br> (0,-5)<br> (4,-2)<br> (8,2)<br> (-16,-17)<br> (-1,-8)<br> (-40,-34)
Liono4ka [1.6K]
All you need to do is plug in the points!

Here we go:

3(0)- 4(-5)-8

If it equals 12, then it is a point and an answer. 

3(0)- 4(-5)-8= 12 

(0,-5) is a point!

Next one:

3(4)-4(-2)-8

12+8-8
That equals twelve. (4,-2) is an answer as well!

I am going to quickly plug in the rest of the points, since I think you have the idea. 
<span>(8,2)  3(8)-4(2)-8= 8 This is not an answer. 
(-16,-17)  3(-16)-4(-17)-8 = 12 This is answer. 
(-1,-8)      3 (-1)-4(-8)-8= 21 This is not an answer. 
(-40,-34) 3(-40)-4(-34)-8= 8 This is not an answer.
</span>
I hope this helped you!

Brainliest answer is always appreciated!
3 0
3 years ago
A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000
Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\

Applying logarithmic properties yields in the following linear system:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k

Solving for k:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192

Solving for C:

40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116

C= 82.1116

k=-0.0007192

6 0
3 years ago
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