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Stells [14]
3 years ago
15

Sebastian went hiking near his house.The first trail he hiked on took him 4.5 miles away from his house. The second trail he hik

ed took him 2.4 miles closer to his house. The third trail he hiked took him 1.7 miles further away from his house. After Sebastian hiked the three trails, how far from his house was he?
Mathematics
2 answers:
Finger [1]3 years ago
6 0

First, plug the decimals into equation.

Sebastian went 4.5 miles away from his house, then 2.4 miles closer to his house. We can show this with the equation: 4.5 - 2.4

He then hiked 1.7 miles away from his house, so add 1.7 to the equation: 4.5 - 2.4 + 1.7.

Solve.

4.5 - 2.4 = 2.1

2.1 + 1.7 = 3.8

<u>Sebastian hiked </u><u>3.8 </u><u>miles away from his home in total.</u>

Sveta_85 [38]3 years ago
4 0

Answer:

               <u>Sebastian is 3.8 miles away from his house.</u>

Step-by-step explanation:

4.5 - 2.4 + 1.7

2.1 + 1.7

= 3.8

- Sebastian is 3.8 miles away from his house.

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Select all the equations that are equivalent to 5(a+2)
Karolina [17]

Answer:

B. 5a + 10

Step-by-step explanation:

Given:

5(a+2)

Open parenthesis

5(a+2)

= 5a + 10

A. 5a + 2

Wrong option

B. 5a + 10

Correct option

C. a + 10

Wrong option

D. 5 + (a + 2)

= 5 + a +2

= a + 7

Wrong option

5 0
3 years ago
The perimeter of an isosceles triangle is 65 centimeters. Find the length of the two equal sides when each is 10 centimeters lon
natita [175]

Answer: the length of each of the two equal sides is 25 centimeters

Step-by-step explanation:

Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.

Let y represent the length of the third side.

The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that

2x + y = 65 - - - - - - - - - 1

Each of the equal sides is 10 centimeters longer than the third side. This means that

x = y + 10

Substituting x = y + 10 into equation 1, it becomes

2(y + 10) + y = 65

2y + 20 + y = 65

2y + y = 65 - 20

3y = 45

y = 45/3 = 15

Substituting y = 15 into x = y + 10, it becomes

x = 15 + 10 = 25

5 0
3 years ago
The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac wa
ElenaW [278]

Answer:

The answer is B

Step-by-step explanation:

$2.50+$1.95=$27.46

                     -2.50

                       24.69

24.63/1.95

equal $12.80 or 12.8

8 0
3 years ago
Solve the system by substitution 6x-2y=26 and -y+3=x
gregori [183]
The answer would be (4,-1)
Hope this helped! :)
7 0
3 years ago
Please show how you did it
cupoosta [38]
The volume is very simple, is simply the product of the 3 dimensions, the length*width*height, so namely is 4*2*3.

now, how much material?  well, that'd be the surface area, check the picture below.  So the container is really just 6 rectangles stacked up to each other at the edges.

left and right,  two 2x3 rectangles.

top and bottom, two 4x2 rectangles.

front and back, two 4x3 rectangles.

get the area of each, sum them up, and that's the surface area of the rectangular prism, and therefore that's how much material was used.

\bf \stackrel{\textit{left and right}}{2(2\cdot 3)}+\stackrel{\textit{top and bottom}}{2(4\cdot 2)}+\stackrel{\textit{front and back}}{2(4\cdot 3)}

3 0
3 years ago
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