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den301095 [7]
3 years ago
14

1. Natalie bought 5 cartons of milk and received $2.50 in change. The following week she bought two cartons and received $7 in c

hange. If she gave the same amount of money to the shopkeeper each time, work out the cost of each carton of milk.
2. Yvonne wants to buy a car which costs $23,000. She pays a deposit of $14,000 and then arranges to pay an amount each month for the next three years. How much should each monthly payment be if she wishes to payoff the car in three years?

3. At the end of the term each student in the class was given their average test score in maths. During the term the class had sat three tests. For two of her tests Leonie had obtained results of 93% and 85% but she had forgotten her result in the third. Work out this unknown result for Leonie if she scored an average of 91%
Mathematics
1 answer:
Zanzabum3 years ago
5 0
1. Each carton of milk costs 1.50.
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Convince me why points B&C are solutions to this system of linear inequalities.
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The coordinates of B and C are solutions to the system of inequalities because both are true to the two inequalities. A is not a solution to the system of inequalities because it is only true to “y is less than or equal to 2x”.
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Jeremy wants to buy a backpack that costs $65. Luckily, the store is having a 35% off sale. What will be the sale price of the b
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Which system of linear equations appears to have a solution of (-1,4)?
daser333 [38]

Answer:

The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

Step-by-step explanation:

We know when two lines meet at a certain point, the point where they meet is called the point of intersection.

We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.

We are given the point (-1, 4) as the solution of the system of linear equations.

It means the two lines meet at x = -1, and y = 4.

In other words,

(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.

Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.

The 3rd graph indicates that the two lines meet at x = -1, and y = 4.

Hence, the point of intersection of 3rd graph is:

(x, y) = (-1, 4)

Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

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