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Natasha_Volkova [10]
3 years ago
11

An electrician charges a $40 dollar fee to make a house call plus an hourly rate for labor. If the total bill for a job that tak

es 2 hours comes to $99, what is the electrician's hourly labor rate
Mathematics
1 answer:
agasfer [191]3 years ago
8 0

Answer: the electrician's hourly labor rate is $29.5

Step-by-step explanation:

Let x represent the electrician's hourly labor rate.

electrician charges a $40 dollar fee to make a house call plus an hourly rate for labor. This means that the total bill for a job that takes y hours would be expressed as

xy + 40

If the total bill for a job that takes 2 hours comes to $99, it means that

2x + 40 = 99

2x = 99 - 40

2x = 59

x = 59/2 = 29.5

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Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice
irinina [24]

For the given data set

Minimum = 48

Lower quartile = 55

Median = 63.5

Upper quartile = 74

Maximum = 80

Interquartile range = 19

<h3>Measures of a Data </h3>

From the question, we are to determine the minimum, lower quartile, median, upper quartile, maximum, and interquartile range of the given data set

The given data set is

48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80

Minimum = 48

Lower quartile = (54+56)/2

Lower quartile = 110/2

Lower quartile = 55

Median = (63+64)/2

Median = 127/2

Median = 63.5

Upper quartile = (74+74)/2

Upper quartile = 148/2

Upper quartile = 74

Maximum = 80

Interquartile range = Upper quartile - Lower quartile

Interquartile range = 74 - 55

Interquartile range = 19

Hence, for the given data set

Minimum = 48

Lower quartile = 55

Median = 63.5

Upper quartile = 74

Maximum = 80

Interquartile range = 19

Learn more on Measures of a Data here: brainly.com/question/15097997

#SPJ1

5 0
2 years ago
Braydon is at the 10-mile Marker at the park to run. He can run at a pace of 3 miles per hour. Lauren is at the 12-mile marker a
madreJ [45]

it will take 1.33 hours for Braydon and Lauren to  get to the same mile marker on the path in the  park .

<u>Step-by-step explanation:</u>

Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to  get to the same mile marker on the path in the  park .Let's find out:

Let after time t they meet each other so ,  Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :

⇒ 3t+10

Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :

⇒ 1.5t + 12

Equating both we get :

⇒ 3t+10=1.5t+12

⇒ 1.5t=2

⇒ t=\frac{2}{1.5}

⇒ t=1.33

Therefore , it will take 1.33 hours for Braydon and Lauren to  get to the same mile marker on the path in the  park .

7 0
3 years ago
How do I know whether something is a function or not? Answer the worksheet please
djyliett [7]
Because you if it changes its a function
6 0
3 years ago
On my brother's 14th birthday, he was 160 cm tall. Within exactly one year, his height increased by 6%. How tall was he on his 1
Charra [1.4K]

Answer:

170 cm

Step-by-step explanation:

160+.06*160=160+9.6=169.6

8 0
3 years ago
Given: If you live in Orlando, then you live in Florida.
____ [38]

Answer:

The law of detachment and syllogism is valid here

Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

In the above example, given: If you live in Orlando, then you live in Florida

Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

5 0
3 years ago
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