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Bess [88]
3 years ago
5

While traveling to his grandma for his George fell asleep a fifth of the way through the journey when he awoke he still had to t

ravel a quarter of the distance that he had traveled while sleeping. For what part of the journey had he been asleep
Mathematics
1 answer:
jeyben [28]3 years ago
4 0

Answer:

<u>George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

George fell asleep a fifth of the way

He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping

2. For what part of the journey had he been asleep?

George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma

When he awoke up = 1/4 * 4/5 = 1/5

He had been asleep = 5/5 - 1/5 -1/5 = 3/5

<u>It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma</u>

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Step-by-step explanation:

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3 years ago
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You triple your account balance by making a deposit. Then you withdraw $28.50 from your bank account. Now your account is overdr
Crazy boy [7]

Answer:

Your original account balance before you made the deposit is $6

Step-by-step explanation:

Let x = your original account balance.

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Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.

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8 0
2 years ago
Which ordered pairs are solutions to the inequality 2x+y&gt;−4?
hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

2x+y>-4

y>-2x-4

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-12)

Substitute the value of x and y in the inequality

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therefore

the ordered pair (5,-12) is a solution of the inequality

<u>case b)</u> (-3,0)

Substitute the value of x and y in the inequality

0>-2*-3-4

0>2 ------> is False

therefore

the ordered pair (-3,0) is not a solution of the inequality

<u>case c)</u> (-1,-1)

Substitute the value of x and y in the inequality

-1>-2*-1-4

-1>-2 ------> is True

therefore

the ordered pair(-1,-1) is a solution of the inequality

<u>case d)</u> (0,1)

Substitute the value of x and y in the inequality

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therefore

the ordered pair (0,1) is a solution of the inequality

<u>case e)</u> (4,-12)

Substitute the value of x and y in the inequality

-12>-2*4-4

-12>-12 ------> is False

therefore

the ordered pair (4,-12) is not a solution of the inequality

<u>Verify</u>

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


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