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zepelin [54]
3 years ago
13

Resolución de problemas mediante sistemas de ecuaciones. plantear un problema, cuya expresión algebraica coincida para cada uno

de los siguientes sistemas de ecuaciones, no debe resolver el sistema de ecuaciones. a. X +y = 13 b. 3x - 30y = 15 c. 8x+3y=37 d. X-5y=4 x-y=1 2x + 10y = 40 8x-3y=50 3x+5y=32
Mathematics
1 answer:
ankoles [38]3 years ago
7 0

We want to find word problems that gives rise to the following systems of algebraic equations.

a)

x+y=13

x-y=1.

Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.

b)

3x-30y=15

2x+10y=40

Answer:

The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.

c)

8x+3y=37

8x-3y=50

Answer:

The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.

d) x-5y=4

3x+5y=32

The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.

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Calculate the measure of each exterior angle of a 90 sided regular polygon. Explain.
forsale [732]
90 sides give us 90 angles 

sum of all inside angels is  (n-2) * 180 deg. where n is number of angels 

so one inside angle is 
(90-2)*180 deg / 90 = 88* 2 deg = 176 deg.

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3 0
3 years ago
A box contains four blue and eight red balls. Jim and Jack start drawing balls from the box, respectively, one at a time, at ran
aleksandrvk [35]

Answer:

the probability that Jack draws the blue ball is 0.38539

Step-by-step explanation:

Given the data in the question;

box contains

blue balls = 5

red balls = 8

Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement

Now,

on the first attempted;

⇒ ( 8/13) × ( 5/12) = 10/39  

on the second attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143

on the third attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287

on the fourth attempt;

⇒  ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287

so we add everything;  

⇒ 10/39 + 14/143 + 35/1287 + 5/1287

= 0.38539

Therefore, the probability that Jack draws the blue ball is 0.38539

5 0
3 years ago
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet i
saw5 [17]
6 feet because 8 / 12 reduces to 2 / 3 and you multiply 2 times 3
8 0
3 years ago
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A student in the Construction Trades program at the Cecil County School of Technology has 4 1/2gallons of paint. If he uses 2.75
Andrew [12]

Answer:

1.75 gallons of paint

Step-by-step explanation:

A student in the construction trades program has 4 1/2 gallons of paint

If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows

= 4 1/2 - 2.75

= 9/2 - 2.75

= 4.5 - 2.75

= 1.75

Hence 1.75 gallons of paint are left

3 0
3 years ago
The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1
Kobotan [32]

Answer:

-4

Step-by-step explanation:

Parallel lines have the same slope

-4

6 0
2 years ago
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