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9966 [12]
3 years ago
10

The sum of two numbers is 52 and the difference is 8. What are the numbers?

Mathematics
2 answers:
Nastasia [14]3 years ago
6 0

Answer:

30 and 22

Step-by-step explanation:

This can be solved using system of equations

Let x = the bigger number

Let y = the smaller number

The sum of two numbers is 52

x + y = 52

The difference is 8

x - y = 8

x + y = 52

x - y = 8

I will solve using elimination

 (x + y = 52)

+ (x - y = 8)

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

2x = 60

/2     /2

x = 30

x + y = 52

30 + y = 52

-30         -30

y = 22

Neporo4naja [7]3 years ago
5 0

Answer:

22, 30

Step-by-step explanation:

52/2=26

26-4=22

26+4=30

30+22=52

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2 years ago
On a typical long distance call you talk for 30 minutes. On a typical local call you talk for 10 minutes. Your phone company off
klio [65]

The number of long distance calls to be made can be obtained by linear programming

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Reason:

Maximum number of number of long distance calls = 15

Maximum number of local calls = 30

Number of minutes of calls to make each month = 240 minutes

Duration of each long distance call = 30 minutes

Duration of each local call = 10 minutes

Cost of long distance call = $0.08

Cost of local call = $0.03

Solution:

Let <em>X</em>, represent the number of long distance calls, and let <em>Y</em> represent the number local calls

The objective function is given as follows;

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P = 2.4·X + 0.3·Y

The constraints are;

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Y ≥ 0

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Y ≤ 30

30·X + 10·Y ≥ 240

Solving we have;

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The above inequality can be plotted with MS Excel

From the objective function, P = 2.4·X + 0.3·Y, the coefficient of the long

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making the minimum possible number of long distance calls of 0, and 24

local calls will give a cost;

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Therefore, to minimize the phone bill, the number of long distance calls to

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Learn more about linear optimization here:

brainly.com/question/21491539

5 0
2 years ago
Thanks for your help!
yan [13]

a and b are the two leg sides

c is the longest side.

a^2+b^2=c^2

a=x

b=9

c=11

a=c-b

11 squared is 121

9 squared is 81

121-81=40

The square root of 40, rounded to the nearest hundredth, is 6.32

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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8 0
2 years ago
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