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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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4 years ago
Your goal in training for the race is to run more than 50 miles per week. So far this week you have run 32 miles. Which inequali
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the answer is D

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3 years ago
If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability
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Answer:  a) 0.99917  b)  0.7054  c) 0.9820

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Sample size : n= 100

Mean= np = 100(0.65)=65

Standard deviation: \sigma=\sqrt{np(1-p)}\\\\=\sqrt{100(0.65)(0.35)}\\\\=4.76969600708\approx4.77

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P(x\geq50)=P(\dfrac{x-\mu}{\sigma}\geq\dfrac{50-65}{4.77})\\\\=P(z\geq-3.144)\\\\=P(z-z)=P(Z

b) between 60 and 70 inclusive who are in favor;

P(60

c) fewer than 75 in favor.

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3 years ago
Javier drove 48 miles. This represents 60% of his entire trip. What is the total number of miles in Javier's trip?
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Step-by-step explanation:

Call the full trip, x. Thus we can write 60% of x is 45, or .6x = 45 x = 45/.6 = 75 miles.

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