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Nikolay [14]
3 years ago
6

Thomas rents a car for his vaccation the milliage included with the 54 miles forer every mile he drives over 54 miles he needs t

o pay 5 integer 4 by 5 dollar if he drives 69 miles how much extra does he needed to pay
Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

$27

Step-by-step explanation:

Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?

Total mileage included with the rental = 54 miles

Additional cost per mile after 54 miles = $1 4/5

Total miles Thomas drives = 69 miles

Extra miles Thomas drives = 69 miles - 54 miles

= 15 miles

how much extra does he need to pay?

Extra cost Thomas needs to pay = Additional cost per mile after 54 miles * Extra miles Thomas drives

= $1 4/5 * 15 miles

= 9/5 * 15

= (9 * 15) / 5

= 135/5

= 27

Extra cost Thomas needs to pay = $27

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Phoenix [80]

Answer:

180 - 48 = 132

132 ÷ 2= 66

p = 66°

7 0
3 years ago
Read 2 more answers
A comet travels at an average speed of 233,000 km/h.
mixer [17]

Answer:

39,144,000 km

Step-by-step explanation:

Hi there!

Distance traveled = time * speed

Given speed: 233000 km/h

Given time: 7 days

It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.

There are 24 hours in 1 day.

So to convert days to hours simply multiply amount of days by 24

24 * 7 = 168

So the comet has traveled for 168 hours

Now we can find distance traveled

Once again distance traveled = time * speed

Given speed is 233000 km/h

Given time is 168 hours

Distance = 168 * 233000 = 39,144,000

So the comet has traveled for a total distance of 39,144,000 km

3 0
3 years ago
To join the gym Haley must pay a $75 enrollment fee and 32 per month right in algebra expression represents the total cost of in
Rzqust [24]

Answer:

75+32·M=X

M=Months she goes to the gym

X=Total she pays

Step-by-step explanation:

you need to variables

M= represents the amount of months she goes to the gym

X= represents the total that she paid

$75(fee)+32·M($ per month)=X(the total)

Example= 1 month

75+32·1=X

107=X-----> Total she pays

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3 years ago
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Vladimir79 [104]
\text{Goal: Find } x \text{ such that:} \\ 2^x > 4x + 12

2^x > 4x + 12 \\ 2^x > 4(x + 3) \\ 2^{x - 2} > x + 3

\text{A lemma: } \\ \text{It is given that: } \\ 2^n > 2n + 1, \text{ } n > 3
\text{This can be proven by Mathematical Induction.}
\text{Using this lemma, we can manipulate the expression:} \\ 2^{x - 2} > 2(x - 2) + 1 = 2x - 3, \text{ } x > 5 \\ 2\cdot 2^{x - 2} > 2(2x - 3) \\ 2^{x - 1} > 4x - 12 \\ 2^{x - 1} + 24 > 4x + 12

\text{Observe the following: } 2^x \text{ will always grow faster than } 2^{x - 1} \\ \text{This implies that } 2^{x} > 2^{x - 1} + 24 > 4x + 12, \text{ given that } x > 5

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Vesnalui [34]
1. 28.57  

2.  16
 
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3 years ago
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