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balandron [24]
3 years ago
12

Jenny wants to rent a truck. She contacts two truck companies. Avis truck company charges $20 plus $2 per mile. Budget truck com

pany charges $3 pe mile. At how many miles will the charge be the same for both companies ?
Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer: 20 miles

Step-by-step explanation:

From the question, we are informed that Avis truck company charges $20 plus $2 per mile and that Budget truck company charges $3 per mile.

Let the number of miles that the charge will be the same for both companies be represented by x. This can then be used to form an equation as:

20 + 2x = (3 × x)

20 + 2x = 3x

3x - 2x = 20

x = 20

The charge will be thesame at 20 miles

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A new bank costumer with 2500 dollars wants to open a money market account. The bank is offering a simple interest rate of 1.5 p
padilas [110]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount deposited.

P represents the principal or amount deposited.

R represents interest rate

T represents the duration in years.

From the information given,

P = 2500

R = 1.5%

T = 30 years

I = (2500 × 1.5 × 30)/100 = $1125

the account balance be after 30 years is

1125 + 2500 = $3625

4 0
3 years ago
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7,210 books in a library are organized into 3 rooms. there are 1,960 more books in the first room than in the second room. the n
Free_Kalibri [48]

Answer:

750 books

Step-by-step explanation:

Let there be "x" number of books in the 3rd room

Now,

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Second Room = 3x

Also, there are 1960 MORE books in 1st room than 2nd room, so we can write:

First Room = 3x + 1960

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First Room + Second Room + Third Room = 7210

Now, replacing the first 2 equations in this, we get:

3x + 1960 + 3x + x = 7210

Solving for x:

3x + 1960 + 3x + x = 7210\\7x=7210-1960\\7x=5250\\x=\frac{5250}{7}\\x=750

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There are 750 books in the third room

7 0
3 years ago
14x+10y=72 14x+4y=96 Solve the following system of equations using any method
Anarel [89]
    14x + 10y = 72
    14x +   4y = 96
                6y = -24
                 6       6
                  y = -4
    14x + 10y = 72
14x + 10(-4) = 72
       14x - 40 = 72
             + 40 + 40
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               14      14
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4 years ago
In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand contain
aalyn [17]

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

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Also, the number of spade flush cards = 5,

Since,

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Thus, the probability of a hand containing a spade flush, if each player has 5 cards

=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}

=\frac{^{20}C_5}{^{52}C_5}

=\frac{\frac{20!}{5!15!}}{\frac{52!}{5!47!}}

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