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Harman [31]
3 years ago
15

a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the distance, d, that the car tra

vels in m minutes.
Mathematics
2 answers:
marissa [1.9K]3 years ago
8 0

Answer:

d(m) = (1.05 miles/min)*m

Step-by-step explanation:

Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):

2 5/8 miles

--------------------

3 1/2 minutes


First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:

21/8 miles             21/8 miles

------------------  =  ----------------------  =  21/20 miles/minute

5/2 minutes         20/8 minutes


The constant rate is (21/20) miles/minute, or 1.05 miles/minute.

Thus, the equation representing the distance, d, that the car travels in m minutes is

d(m) = (1.05 miles/min)*m

ValentinkaMS [17]3 years ago
8 0

Answer:

d = (3/4)*m

Step-by-step explanation:

In 3 1/2 minutes it travels 2 5/8 miles

3 1/2 = 3.5 minutes

2 5/8 =2.625 miles

to find out how much it travels in only one minute, we divede 2.625 miles by 3.5 minutes

2.625/3.5 = 0.75 miles/minute

so, to find out how much miles it travels on <em>m </em>minutes, we multiply <em>m </em>by 0.75

distance d = 0.75 *<em>m</em>

or expressing this as a fraction (since 0.75 = 3/4):

d = (3/4) * <em>m</em>

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Answer:

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Polygon ABCD is plotted on a coordinate plane and then rotated 90° clockwise about point C to form polygon A′B′C′D′. Match each
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The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)

<h3>How to match the vertices of the polygon?</h3>

The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.

The vertices of polygon ABCD are given as:

A = (4, 6)

B = (5, 3)

C = (4, 2)

D = (1, 2)

The rule of rotation about point C is:

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So, we have:

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Hence, the image of the rotation and their vertices (i.e. coordinates) are:

A' = (0,6)

B' =  (3,7)

C' = (4,6)

D' =  (4,3)

Read more about rotation at:

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