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valentina_108 [34]
2 years ago
15

A rental truck costs $96 per day plus $0.60 per each mile. If Calvin can spend a maximum of $120, how many miles can he drive th

e rental truck?
Mathematics
1 answer:
Vilka [71]2 years ago
6 0

Cost of renting a truck for one day = $96

Money Calvin can spend = $120

Money left with Calvin after he spends on the daily rent :

= \tt120 - 96

= \tt\$ 24

Cost charged per mile = 0.60

Number of miles he can drive the rental truck :

=\tt 24 \div 0.60

= \color{plum}\tt40 \:  \: miles

Thus, number of miles he can run the truck = 40 miles

Therefore, Calvin can run the truck for 40 miles after he pays the daily fee.

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A survey about phone service has a margin of error of 5%. Out of 150 people surveyed, 103 said that they were pleased with their
lapo4ka [179]

Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

8 0
2 years ago
The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams. At present, however, each jar contains an e
Alex_Xolod [135]

Answer:

$0.54

Step-by-step explanation:

Given:

The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams.

At present, however, each jar contains an extra 20% free.

And additionally, the supermarket has a "buy 3 jars get another one free''.

Question asked:

By how much is the cost per 100 grams of peanut butter less than it normally is if I take full advantage of the supermarket's offer today?

Solution:

Cost of a jars of peanut = $7.20

Normally, weight of peanut butter in one packet = 500 gram

At supermarket offer, each jar contains an extra 20% free, means a packet  of peanut butter contains = 500 + 20% of 500                                                                                                            =500+500\times \frac{20}{100} =500+100=600\ gram

And extra benefit = buy 3 jars get another one free, means we will get 4 jars by just giving price of only 3 jars.

That means, total weight of peanut butter you are getting by giving 3 packet's price =  Each jar weigh \times number of jars

                       = 600 \times 4 = 2400 gram

<u>Cost of each packet will be same as previously as during the offer;</u> $7.20

Cost of 3 packet's peanut (2400 gram) =  7.20\times3=\$21.6

Now, we will calculate cost per 100 grams of peanut butter :

<u>During offer:</u>

Cost of 2400 grams of peanut butter = $21.6

Cost of 1 gram of peanut butter = \frac{21.6}{2400}

Cost of 100 gram of peanut butter = \frac{21.6}{2400}\times100=\frac{2160}{2400} =\$0.9

<u>Normal day:</u>

Cost of 500 grams of peanut butter = $7.20

Cost of 1 gram of peanut butter = \frac{7.20}{500}

Cost of 100 gram of peanut butter = \frac{7.20}{500}\times100=\frac{720}{500} =\$1.44

We found that cost of 100 gram of peanut butter in normal day is $1.44 while cost of 100 gram of peanut butter during offer is $0.9 means cost per 100 gram during offer is ($1.44 - $0.9 = )$0.54 less than cost during normal day.

<u>Conclusion:</u>

Therefore, cost per 100 grams of peanut butter is $0.54 less than it is normally if you take full advantage of the supermarket's offer today.

             

7 0
2 years ago
Mike and Beatrice purchase a house for $200,000. If the equation V = 200,000(1.03)x represents the value of the house after x ye
Elza [17]
225000=200000(1.03^t)

9/8=1.03^t

ln(9/8)=tln(1.03)

t=ln(9/8)/ln(1.03)

t=3.98

t=4 years
6 0
3 years ago
Read 2 more answers
Which of the following is a function?
Pie
Relationship 2 is a function because x isn’t being repeated.
5 0
3 years ago
Determine the value of each variable in the figure below. Keep answers in simplest<br> radical form.
Tanzania [10]

Answer:

  a = 21

  b = 63

  c = 42√3

  d = 21√3

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.

That means the other sides of the smallest triangle will be ...

  a = 42/2 = 21

  a+b = 2(42) = 84

  b = (a+b) -a = 84 -21 = 63

  d = 21√3 . . . . middle-length side of the smallest triangle

  c = 42√3 . . . . middle-length side of the largest triangle

The values of the variables are ...

  • a = 21
  • b = 63
  • c = 42√3
  • d = 21√3

7 0
2 years ago
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