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miss Akunina [59]
3 years ago
5

you are going on a road trip over a distance of 3000 kilometers with three friends. the car consumes 6 liters of gas per 100 kil

ometers and gas costs $1.20 per liter. if you want to split the cost of gas evenly between the four of you, how much should each of you chip in?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
Amount of gass used = 6 x 3000/100 = 6 x 30 = 180 liters

Total cost of gas used = 180 x $1.2 = $216

Amount to be contributed by each person = $216/4 = $54.
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Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yar
AleksandrR [38]

Answer:

Joshua walked 48 feet in total.

Step-by-step explanation:

To find the total distance we need to sum every distance that he walked. We have:

- First: Joshua walked down the hall to the door = 14 feet

- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet

- Third: He came straight back across the yard and stopped to pet his dog = 10 feet

Hence, the total distance is:

d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft

Therefore, Joshua walked 48 feet in total.

I hope it helps you!

8 0
3 years ago
The distance travelled in (m) by a ball dropped from a height are 128/9,32/3,8,6,...
Allushta [10]

Answer: it will trave 56.89 meters before coming to rest.

Step-by-step explanation:

This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as

S = a/(1 - r)

where

S = sum of the distance travelled by the ball

a = initial distance or height of the ball

r = common ratio

From the information given,

a = 128/9

r = (32/3)/(128/9) = 0.75

Therefore,

S = (128/9)/(1 - 0.75) = 56.89 meters

7 0
3 years ago
An Olympic swimming pool is 50 metres long by 25 metres wide. Rebecca draws a scale diagram of it to a scale of 1 cm to 5 m. How
evablogger [386]

Answer:

10

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scaled length of the pool = 50 / 5 = 10cm

7 0
3 years ago
Triangle TRE has vertices T(3,6), R(-3,10), and E(-9,4). Find the coordinates of point M if line TM is a median of triangle TRE
Sergeeva-Olga [200]

Answer:

The coordinate of point M = (-6,7)

Explanation:

The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.

Given: \triangle TRE has vertices T(3,6) , R(-3,10) and E(-9,4).

Here, line TM is a median of triangle TRE where M is the midpoint of RE.

The midpoint of  M of the line segment from R(-3,10)  to E(-9,4) is;

M = (\frac{-3+(-9)}{2}, \frac{10+4}{2}) = ( \frac{-12}{2}, \frac{14}{2} )=(-6,7)

Therefore, the coordinate of point M is, (-6,7).

7 0
3 years ago
Solve 37+z≤54. Graph the solution.
iragen [17]

Answer:

z ≤ 17

Step-by-step explanation:

Step 1: Subtract 37 from both sides.

  • 37 + z - 37\leq 54-37
  • z\leq 17

3 0
3 years ago
Read 2 more answers
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