You have a limit of $300 that you can spend for a rental car on your vacation this summer. You have found a deal where you can rent a car for a daily rate of $30 plus a fee of $0.20 per mile driven. If you want to be able to keep the car for four days, how many miles can you drive?

Answers

Answer 1
Answer: From the problem
you can get the equation
4(30+0.20x) < 300

the 4 represents that it is within 4 days, the 30 is the daily fee, the 0.20 is the rate of per mile driven per day, and the 300 is how much money you have left to spend.

now we solve for x, first distribute the 4 into the parenthesis
120 + 0.80x < 300     then subtract 120 from both sides
-120              -120
and get   0.80x < 180   then divide both sides by 0.80
             /0.80       /0.80
therefore x = 225
so you can drive  225 miles.

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A construction manager needs 12 workers to complete a building project in 54 days. Find in terms of T the number of workers needed to complete the same project in T days

Answers

Answer:

2T/9

Step-by-step explanation:

A construction manager needs 12 workers to complete a building project in 54 days, we can write;

12 workers = 54 days

T find the number of workers needed to complete the same project in T days, we will write;

x workers = T days

Divide both equations

12/x = 54/T

Cross multiply

12T = 54x

x = 12T/54

x = 2T/9

Hence the number of workers needed to complete the same project in T days is 2T/9 workers

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket costs the shoe keeper $200, at what price is it sold

Answers

200 + 40 % = 200*1.4 = $280.00
280 - 25% = 280 * .75 = $ 210.00
200(1.4)(.75)=$210.00

There are some books on three shelves. On the bottom shelf there are half as many books as on the other two shelves. On the middle shelf there are three times less than on the other two shelves. On the top shelf there are 30 books. How many books are on all three shelves?

Answers

Answer:

There are 72 books on all the three shelves.

Step-by-step explanation:

Given:

On the bottom shelf there are half as many books as on the other two shelves.

On the middle shelf there are three times less than on the other two shelves.

On the top shelf there are 30 books.

Now, to find the books on all three shelves.

Let the books on the middle shelf be x.

The books on the top shelf are 30.

The books on the bottom shelf = (1)/(2) (x+30)

So, the books on the middle shelf:

3x=30+(1)/(2)(x+30)

3x=30+(x+30)/(2)

3x=(60+x+30)/(2)

Multiplying both sides by 2 we get:

6x=60+x+30

6x=x+90

Subtracting both sides by x we get:

5x=90

Dividing both sides by 5 we get:

x=18.

Thus, the books on middle shelf are 18.

Now, to get the books on the bottom shelf by substituting the value of x:

(1)/(2) (x+30)

=(1)/(2) (18+30)\n\n=(1)/(2) * 48\n\n=24.

Hence, the books on the bottom shelf are 24.

Now, to get the total books on all the three shelves we add the books of top, middle and bottom shelf:

30+18+24\n\n=72.

Therefore, there are 72 books on all the three shelves.

Multiply and simplify: −3/2 ⋅ 5

Answers

-15/2 is the answer, Hope this helps;)

-7 1/2 is the answer to this problem

Please help me, I really need help. I will mark brainliest answer!! A bald eagle can eat 3.85 kilograms of fish in a week. The eagle eats the same amount each day. How many grams of fish will the eagle eat in a day?

Answers

So, let's list the facts:
1) In a week, the eagle eats 3.85 kilograms
2) there are 7 days in a week
3) on each day, the eagle eats the same amount.
This means that in order to find out how much was eaten on each day, we need to divide the whole week's food by the number of days in a week:

3.85/7= 0.55

(3.85=3.5+0.35 and 5*7=55, so   (3.5+0.35)/7=0.5+0.05=0.55

Every day the eagle eats 0.55 kilograms of meat!

Michael is 121212 years older than Brandon. Seventeen years ago, Michael was 444 times as old as Brandon. How old is Michael now?

Answers

Let Brandon's age be = b years

Let Michael's age be = m years

As Michael is 12 years older than Brandon, Michael's age, so

m=b+12

Seventeen years ago, Michael was 4 times as old as Brandon, so

m-17=4(b-17)

m-17=4b-68

m=4b-51

m-4b=-51

Substitute m=b+12

b+12-4b=-51

-3b=-63

b=21

Hence, Brandon's age is 21 years

As m=b+12

m=21+12

m=33

Hence, Michael's age is 33 years.