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vodka [1.7K]
3 years ago
15

Angel has xx dimes and yy nickels. He has at most 13 coins worth no less than $0.95 combined. Solve this system of inequalities

graphically and determine one possible solution.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

a possible solution is (10,1)

Step-by-step explanation:

Here, we want to solve the given inequality and determine one possible solution

From the question, we have it that;

x + y ≤ 13

Mathematically, we have it that 1 dime is worth $0.1

A nickel is worth $0.05

0.1x + 0.05y ≥ 0.95

please check the attachment for the graph of both equations

The point of intersection represents the solution.

we have a point here as (10,1)

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The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?
Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

<u><em>Step 1: You need to create a equation first:</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

<u><em>How did I make the equation?</em></u>

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13  ALL CONSECUTIVE ODD NUMBERS

<u><em>Step 2: Simplifying the equation</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

<u><em>Step 3: Solving the equation, with explanation</em></u>

5n + 20 = 2555       Subtract 20 on both sides

        5n = 2535        Isolate the variable by dividing 5 on both sides

          n = 507

<u><em></em></u>

<u><em>Step 4: Plug in the value</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8

507,  507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

<u><em>Step 5:  Solve the sum of the first, third, and last integer</em></u>

507 + 511 + 515 = 1533

<u><em>Step 6: THE ANSWER</em></u>

1533

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
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3 years ago
What is an rational number between 9.5 and 9.7 and include decimal approximation to the nearest hundredth
poizon [28]
On of the solutions could be 9.65
7 0
3 years ago
Help me on this problems
elena55 [62]
The answer for your problem (1) is 7.41
6 0
4 years ago
Please help me as soon as possible
elixir [45]
You might want to see what other people say but I think that it is 40
5 0
3 years ago
Read 2 more answers
Work out the greatest possible value of 3x-2y with the numbers 5,6,7,8,9,10
Gekata [30.6K]

Answer:

The greatest possible value of 3x - 2y is 20

Step-by-step explanation:

3x - 2y ------- 1

For getting the greatest possible value we must get the greatest value available, which is 10 and put it in place of x .

As 2y is being subtracted in the eq 1, we must put the smallest value available in the eq 1 to get the greatest possible result.

put x = 10 and y = 5 in eq 1

3(10) - 2(5)

= 30 - 10

= 20


Smallest possible value from the eqaution will be obtained by putting y = 10 and x = 5

3 (5) - 2 (10)

= 15 - 20

= -5



4 0
3 years ago
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