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son4ous [18]
1 year 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]1 year 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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A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and t
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Answer:

300

Step-by-step explanation:

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you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. Not counting today or the day wh
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You will have 2 piano lessons and 6 tuba lessons


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2 years ago
To evaluate the effect of a treatment, a sample of n=8 is obtained from a population with a mean of μ=40 , and the treatment is
Westkost [7]

Answer:

Step-by-step explanation:

a)

Test statistic:

t=\frac{35-40}{\sqrt{\frac{32}{8} } }

t=-2.5

df=8-1=7

critical, t ,values=+/-2.365

here test statistic lie in rejection region,that why null hypothesis fails  

so Yes, its significant.

b)

Test statistic:

t=\frac{35-40}{\sqrt{\frac{72}{8} } }

t=-1.67

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c)

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5 0
1 year ago
A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30
Annette [7]

19 small mowers and 11 large mowers are sold

<em><u>Solution:</u></em>

Let "a" be the number of small mowers sold

Let "b" be the number of large mowers sold

Cost of each small mower = $ 249.99

Cost of each large mower = $ 329.99

<em><u>30 total mowers were sold</u></em>

Therefore,

a + b = 30

a = 30 - b ------------- eqn 1

<em><u>The total sales for a given year was $8379.70</u></em>

<em><u>Thus we frame a equation as:</u></em>

number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70

a \times 249.99 + b \times 329.99 = 8379.70

249.99a + 329.99b = 8379.70 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

249.99(30 - b) + 329.99b = 8379.70

7499.7 - 249.99b + 329.99b = 8379.70

80b = 8379.70 - 7499.7

80b = 880

Divide both sides by 80

b = 11

<em><u>Substitute b = 11 in eqn 1</u></em>

a = 30 - 11

a = 19

Thus 19 small mowers and 11 large mowers are sold

8 0
2 years ago
What is the true solution to In 20+In 5= 2 In x?<br><br>#31<br>​
Neko [114]

Answer:

ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

Hope This Helps!

5 0
2 years ago
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