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Elden [556K]
3 years ago
12

Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother,Jake. While playing,Jake lost

two marbles and has only 7 marbles at present. Find how many marbles did Dalia buy in all.
Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

45 marbles

Step-by-step explanation:

Using the information provided, we can form the equation x/5 - 2 = 7

Step 1: Add two on both sides of the equation x/5 - 2 = 7

Step 2: Multiply both sides of the equation by 5, to cancel out x. x/5=9

Step 3: Lastly, you get that x=45 marbles

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Answer:

1) (2.2, -1.4)

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Step-by-step explanation:

Question 1)

Two lines, with their corresponding equations are given and we have to find the solution to the system of equations.

The given lines are:

Equation of Line 1:

y=\frac{-7}{4}x+\frac{5}{2}

This line passes through the points: (0, 2.5) , (2.2, -1.4)

Equation of Line 2:

y=\frac{3}{4}x-3

This line passes through the points (0, -3) , (2.2, -1.4)

By looking at the graph/given data we have to find the solution of these linear equations.

Remember that the solution of linear equations is an ordered pair, through which both the lines pass i.e. the point at which both the given lines intersect is the solution of the linear equations.

From the given data we can see that both the lines pass through one common point, (2.2, -1.4). Since, both lines pass through this point, this means this is the point of intersection of the lines and hence there solution.

So, the answer to this questions is (2.2, -1.4)

Question 2)

The given equations are:

y = 1.5x - 1                                        Equation 1

y = 1                                                  Equation 2

We can solve these equations by method of substitution.

Substituting the value of y from Equation 2, in Equation 1, we get:

1 = 1.5x - 1

1 + 1 = 1.5x

2 = 1.5x

x = 2/1.5

x = 1.33

y = 1

Thus, the solution of the given linear equations is (1.33, 1)

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