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solmaris [256]
3 years ago
10

Sally was getting ready to go on a hiking trip with friends across part of the Appalachian Trail. They were trying to determine

how much of the 2,200-mile trail they could cover in 7 days. They plan to walk 6 hours a day on each of the 7 days of the trip. At the rate of 5 miles every 1.5 hours, how far will they walk in 42 hours?
Mathematics
1 answer:
dem82 [27]3 years ago
5 0

Answer:

They'll walk 140.28 miles in 42 hours at that pace.

Step-by-step explanation:

In order to find the distance they can travel at a steady pace, we need to take the pace in wich they intend to travel and multiply it by the time that they intend to travel. In this case their pace is 5 miles every 1.5 hours it means that their pace is 5/1.5 = 3.34 m/h, if they travel for 42 hours they'll travel a distance of:

distance = 3.34*42 = 140.28 miles

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Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
taurus [48]
I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72
4 0
3 years ago
SOMEONE ANSWER PLEASE The trapezoid below is made up of a square and a triangle The total area of the trapezoid
vladimir2022 [97]

Solution:

<u>Note that:</u>

  • Area of trapezoid = Area of triangle + Area of square = 575 m²
  • Area of triangle = 32.5 m²
  • Area of square = s²

<u>Finding the area of the square:</u>

  • 32.5 + Area of square = 575 m²
  • => Area of square = 575 - 32.5
  • => Area of square = 542.5
  • => s² = 542.5
  • => s = √542.5 ≈ 23.29

The length of the square is 23.29 meters.

4 0
3 years ago
Read 2 more answers
What is the lateral surface area of the square pyramid below?
den301095 [7]

Answer:

lateral surface area = 48 inches²

Step-by-step explanation:

The picture below is the square base pyramid you are referring. The lateral area is adding the area of the 4 triangles in the pyramid.

area of a triangle = 1/2 × b × h

The slant height of the triangle is gotten using Pythagoras theorem

lateral surface area = 4 × (1/2 ×  3 × 8)

lateral surface area = 4 × 24/2

lateral surface area = 4 × 12

lateral surface area = 48 inches²

3 0
3 years ago
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In a fruit salad, there are 12 strawberries, 14 grapes, 6 kiwis, and 4 papayas. Find the ratio of kiwis to the total number of p
KonstantinChe [14]

Answer:

1:6

this is because 6 kiwis + 30 fruits = 36 fruits. Then you have 6 kiwis and 36 fruits. therefore the ratio is 6:36.  when you simplify , it becomes 1:6

3 0
3 years ago
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ILL GIVE BRAINLIEST PLZ ANSWER
-BARSIC- [3]

Answer:

-6

Step-by-step explanation:

y = -6x - 5

The equation is put in slope intercept form

( y = mx + b )

Where m = slope and b = y intercept

-6 is in the spot of "m"

Meaning that the slope would be -6

3 0
3 years ago
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