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statuscvo [17]
1 year ago
12

Mike wants to rent a car for his vacation. The rental costs $125 a week plus $.15 a mile. How far can mike travel in a week if h

e wants to spend at the most $200?
Mathematics
2 answers:
guajiro [1.7K]1 year ago
6 0
He can travel 500 miles
Phantasy [73]1 year ago
4 0

Answer: Mike can travel 500 miles if he wants to spend $200.

Step-by-step explanation:  Given that Mike wants to rent a car for his vacation and the rental costs $125 a week plus $.15 a mile.

We are to find the number of miles that Mike can travel in a week if he wants to spend at the most $200.

Let x denotes the number of miles that Mike can travel.

Then, according to the given information, we have

0.15\timesx+125=200\\\\\Rightarrow 0.15x=200-125\\\\\Rightarrow 0.15x=75\\\\\Rightarrow x=\dfrac{75}{0.15}\\\\\\\Rightarrow x=\dfrac{7500}{15}\\\\\Rightarrow x=500.

Thus, Mike can travel 500 miles if he wants to spend $200.

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dimaraw [331]

Answer:

a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.

Step-by-step explanation:

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.

This means that at the null hypothesis, we test if the mean is 7, that is:

H_0: \mu = 7

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.

Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

H_1: \mu \neq 7

Thus, the correct answer is given by option a.

4 0
1 year ago
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to
wolverine [178]
The function for conversions from Fahrenheit to Celsius is:

Celsius = (Fahrenheit - 32) x 5/9 

C(76.1) = (76.1 - 32) x 5/9
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             =  24.5

Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius. 
5 0
2 years ago
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Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00
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6 hours as a babysitter and 12 hours as a hostess

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Catherine jogged 2/9 hour on her first day of training for the track team. What decimal represents the amount of time she spent
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Answer:

0.22 hour, or 13.33 minutes

Step-by-step explanation:

2/9 hour is roughly equivalent to 0.22 hour, or 13.33 minutes.

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Given: Circle M with inscribed Angle K J L and congruent radii JM and ML Prove: mAngle M J L = One-half (measure of arc K L) Cir
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Answer:

We need to demontrate

m \angle MJL = \frac{1}{2}arc(KL)

As you can see in the figure below, angle MJL is an inscribed angle for Circle M, that means we can use the inscribed angle theorem to demonstrate the proposition above.

<h3>Therorem.</h3>

<em>The angle formed by two intersecting chords with vertex on the circumference is equal to one-half of the intercepted arc.</em>

<em />

Notice that the theorem says a chord. However, a diameter is a chord by definition, because a chord is a segment that unites to points of the circumference, and a diameter does that too.

Therefore, based on the inscribed angle arc theorem, we have

m \angle MJL = \frac{1}{2}arc(KL)

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