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12345 [234]
3 years ago
6

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe

r is 50. Let x be the smaller number and y be the larger number. Create a system and graph it to find the solution. What are the two numbers?
Mathematics
2 answers:
Andrews [41]3 years ago
8 0

Answer:

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50. Let x be the smaller number and y be the larger number. Create a system and graph it to find the solution. What are the two numbers?

Step-by-step explanation:

<em>If "y" is the largest number, and "x" the smallest number, it would look like this: </em>

3y = 5x + 30, <em>we cleared to add the two equations and it would be</em>: 3y - 5x = 30

y + 5x = 50

<em>Where</em>: 3y + y - 5x + 5x = 30 + 50

4y = 80; y = 80/4 = <u>20 = y </u>

<em>Now substituting the value of y in the equation would be:</em> 20 + 5x = 50; 5x = 50-20; 5x = 30; x = 30/5 = <u>6 = x </u>

<em>And the two values would be</em>:<u> 6 and 20</u>

slava [35]3 years ago
5 0
3y  = 5x + 30

y + 5x = 50 .......(1)

3y - 5x = 30 .....(2)        - rearranging the first equation.

Add (1) and (2):-

4y = 80

y = 20  
Now plug y = 20 into equation (1):-
20 + 5x = 50
5x = 30 
x = 6

The 2 numbers are 6 and 20.

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An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6% were damaged. In the
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Answer:

Total number of not damaged = 451

C. 451

Step-by-step explanation:

In the first shipment, 6% of the 250 radios where damaged.

Number of damaged= 6/100 * 250

Number of damaged= 6*2.5

Number of damaged= 15 radios.

Number of not damaged= 250-15

Number of not damaged = 235 radios

In the second shipment, 4% of the radios were damaged

Let the number of second shipment= y

0.04 of y where damaged

Total number of radio damaged= 24

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Y= 9/0.04

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Number of radio in the second shipment= 225

Number of damaged in the second shipment= 0.04*225

Number of damaged in the second shipment= 9

Number of not damaged in the second shipment= 225-9

Number of damaged in the second shipment= 216

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= 235+216

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Total number of not damaged= 451

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1 year ago
F(x) 3x^2+x-3 g(x)=x^2-5x+1 find f(x)-g(x)
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10p + 5= 18p - 6/2 value for p
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Answer:

1 is your answer for p

Step-by-step explanation:

First simplify. Divide 6 with 2

-6/2 = -3

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Isolate the p. Divide -8 from both sides

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---------------------------------------------------------------------------------------------------------

<em>~Senpai</em>

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