60 + $50.45 x equals $57 .95 cents x

Mathematics

1 answer:

Zina [86]3 years ago

3 0

Answer:

x = 8

Step-by-step explanation:

The first step would be to move all terms with x to one side of the equation:

60 + 50.45x = 57.95x --> 60 + 50.45x - 50.45x = 57.95x - 50.45x -->

60 = 7.50x

The last step to obtain x is to divide both sides by the coefficient of (number next to) x:

60/7.50 = 7.50x/7.50 --> 8 = x

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Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.

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(a) $s+g=450\\g=s+30$

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

$s+g=450\\g=s+30$

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, $s+g=450$ , the x intercept is at $g=0$ . So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents $s+g=450$ .

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents $g=s+30$ .

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The $x$ value of the point of intersection is the earning of Seiji which is $ 210 and the $y$ value is the earning of Gavin which is $ 240 as shown in the graph.