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Norma-Jean [14]
3 years ago
15

What is the total amount of a new vehicle if the standard vehicle price is $14,530 options cost $1,717 and a destination charge

of $445?
Mathematics
1 answer:
Vlada [557]3 years ago
4 0
For this case, the total amount is the sum of all costs.
 We have then:
 total amount = standard vehicle price + options cost + destination charge
 Substituting values we have:
 total amount = 14530 + 1717 + 445
 total amount = 16692 $
 Answer:
 
The total amount of a new vehicle is:
 
total amount = 16692 $
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A box contains 76 coins, only dimes and nickels. The amount in the box is $4.90. How many dimes and how many nickels are in the
dangina [55]

The number of dimes is 75 coins.

The number of nickels is 1 coin.

<u>Step-by-step explanation:</u>

It is given that,

A box contains 76 coins, only dimes and nickels.

  • The 10 cent coin is called a dime.
  • Let, the number of dimes be x.
  • The 5 cent coin is called a nickel.
  • Let, the number of nickels be y.

<u>This is represented by the system of equations :</u>

x + y = 76  -------(1)

10x + 5y = 4.90  ------(2)

Multiply eq (1) by 5 and subtract eq (2) from eq (1),

 5x + 5y = 380

-<u>(10x + 5y = 4.90)</u>

 <u>-5x       = 375.1</u>

x = 375/5

x = 75 coins.

The number of dimes is 75 coins.

Substitute x=75 in eq (1),

y = 76 - 75

y = 1 coin.

The number of nickels is 1 coin.

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Kaitlyn tony and juan served a total of 71 orders Monday at the school cafeteria. Toney served 9 fewer orders than kaitlin. Juan
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Answer:

<u>Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Total of orders server at the school cafeteria by Kaitlin, Tony and Juan = 71

Tony served 9 orders fewer than Kaitlin

Juan served 2 times as many orders as Kaitlin

2. How many orders did each one serve?

For answering this question, we should prepare and write down our equation this way:

x = Number of orders served by Kaitlin

2x = Number of order served by Juan ( 2 times as many orders as Kaitlin)

x - 9 = Number of order served by Tony (9 orders fewer than Kaitlin)

x + 2x + x - 9 = 71

4x = 71 + 9

4x = 80

x = 80/4 = 20

x = 20 ⇒ 2x = 40 ⇒ x - 9 = 11

<u>Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.</u>

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