If the first and mean proportion of a continued proportion is 9 and 12, find the third proportion.

Mathematics

1 answer:

gregori [183]2 years ago

7 0

Answer:

Step-by-step explanation:

12-9=3 so the pattern might be +3 so 12+3=15

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A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical container

ololo11 [35]

Volume of a cylinder is given by V = πr^2h

Since the content of the storage tank completely filled the 25 identical cylinders, this means that the volume of the 25 cylinders combined is equal to the volume of the storage tank.

25(πr^2h) = 235,500
πr^2h = 235,500/25 = 9,420
h = 9,420/(3.14 x 5^2) = 9,420/78.5 = 120.

Therefore, the height of the cylinderical containers is 120 in

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2 years ago

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Are the expressions 3{y+1} and 3y+3 equivalent for any value? explain

andre [41]

Answer:

Yes

Step-by-step explanation:

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3 years ago

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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.

jok3333 [9.3K]

Answer:

(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.