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Rufina [12.5K]
2 years ago
7

Electric saw A cuts planks at a uniform rate of 150 every 30 seconds, and Electric saw B cuts planks at a uniform rate of 130 ev

ery 13 second. Of the 2 saws run simultaneously, how many seconds will take for them to produce a total of 225 planks
Mathematics
1 answer:
aleksley [76]2 years ago
3 0

Saw A = 150 planks/30 seconds = 5 planks per second

Saw B = 130 planks/ 13 seconds = 10 planks per seconds

5 + 10 = 15 planks per second total

225 planks / 15 planks per second = 15 seconds

Answer: 15 seconds

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Find the values of​ x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; t
Studentka2010 [4]

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

y+(3x+5)=180

y=180-3x-5

y=175-3x

Similarly,

z+(3x-5)=180

z=180-3x+5

z=185-3x

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

x+y+z=180

x+(175-3x)+(185-3x)=180

-5x+360=180

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Divide both sides by -5.

x=36

The value of x is 36.

y=175-3(36)

y=175-(108)

y=67

Now,

z=185-3(36)

z=185-108

z=77

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

6 0
3 years ago
Suppose the population of a certain city is 5893 thousand. It is expected to decrease to 5218 thousand in 50 years. Find the per
leonid [27]

Answer:

% Decrease = 11.45%

Step-by-step explanation:

Original Population = 5893

Expected Population = 5218

% Decrease = Original Population - Expected Population / Original population

% Decrease = (5893 - 5218 ) / 5893

% Decrease = 675/5893

% Decrease = 0.11454268

% Decrease = 11.454268%

% Decrease = 11.45% approximately.

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