A grocer sells oranges in bags. Each empty bag weighs 2.5 ounces and each orange weighs 7.2 ounces. Khalil buys a bag of oranges that weighs 60.1 ounces. Which equation can be used to find x, the number of oranges in the bag?
A.) 7.2+x=60.1
B.)2.5x+7.2=60.1
C.)60.1-x=2.5+7.2
D.)2.5+7.2x=60.1

Respuesta :

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D, 2.5 + 7.2x = 60.1. Notice that 2.5 is a constant in this problem, while 7.2 is a variable that changes based on the number of oranges placed in the bag.


You could think of this problem in this way. No matter how many oranges we put in the bag, the weight of the bag will always contribute 2.5 ounces to the total weight of the bag with oranges in it. If 7 oranges are placed in the bag, the bag itself weighs 2.5 ounces. If 14 oranges are placed in the bag, the bag itself weighs 2.5 ounces.


However, the weight of the bag filled with oranges will be changed by the number of oranges placed in the bag. A bag with 14 oranges will weigh much more than a bag with 7 oranges, as each orange contributes a weight of 7.2 ounces to the overall weight of the bag. Given that the number of oranges is represented by the variable [tex] x [/tex], we can say that the oranges contribute a weight of [tex] 7.2x [/tex] to the bag.


Thus, the weight of our bag is [tex] 2.5 + 7.2x = 60.1 [/tex], or D.

The equation 60.1 = 7.2x + 2.5 can be used to find the number of oranges in the bag will be 8.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given;

The grocer sells oranges in bags. Each empty bag weighs 2.5 ounces and each orange weighs 7.2 ounces.

So, Khalil buys a bag of oranges that weighs 60.1 ounces.

Let x be the number of oranges.

Then the equation will be;

y = 7.2x + 2.5

For y = 60.1, the value of x is

60.1 = 7.2x + 2.5

On simplifying, we have

x = 8

Hence, the number of oranges in the bag is 8.

More about the linear system link is given below;

brainly.com/question/20379472

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