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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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The cost of item A is $8 and the
yKpoI14uk [10]

Answer: the number of item A that you sold is 11

the number of item B that you sold is 2

Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 13. This means that

x + y = 13

The cost of item A is $8 and the

cost of item B is $4. The total amount if money made is $88. This means that

8x + 4y = 88 - - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

8(13 - y) + 4y = 88

104 - 8y = 88

8y = 104 - 88 = 16

y = 16/8 = 2

x = 13 - y = 13 - 2 = 11

7 0
3 years ago
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At Andrew Jackson High School, students are only allowed to enroll in AP U.S. History if they have already taken AP World Histor
o-na [289]

Answer:

  • <u><em>About 0.22</em></u>

Explanation:

There are two sets:

  • Set W of incoming seniors who took AP World History, and
  • Set E of incoming seniors who took AP European History

And there is a subset, which is the intersection of those two sets:

  • Subset W ∩ E of senior students who took both.

The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.

By property of sets:

  • S = W + E - W∩E = 175 + 36 - 33 = 178

Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is:

  • 178/825 = 0.21576 ≈ 0.22
6 0
3 years ago
Hi can someone please help me with this question
olga2289 [7]

Answer: B. 3x + 1/5

tom's pencil is longer than Ellen's pencil:

5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)

Step-by-step explanation:

4 0
3 years ago
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look at the picture attached. I find these questions very difficult I will mark brainliest to however helps me the most
Luden [163]

Answer:

to find the total number of miles traveled, you have to add the total distance from point L to point M together. 929+ 595 = 1,524 total miles traveled

to find the average miles per hour, you divide the total miles traveled, by the amount of time it took. 1,524 / 3 = 508 miles per hour

Step-by-step explanation:

5 0
2 years ago
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If f(x) = x2 + 3x - 4, find f(4).
Nat2105 [25]

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

8 0
3 years ago
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