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Ket [755]
4 years ago
8

The distance d, in meters, that a rhinoceros runs in s seconds is represented by the equation d=16s. What is the constant of pro

portionality (unit rate) of d to s?
Mathematics
1 answer:
castortr0y [4]4 years ago
3 0
Time          Distance                Distance / Time
2hrs          90 miles                  90 miles / 2 hrs =  45 miles / hr
3hrs          135 miles                135 miles / 3 hrs =  45 miles / hr
5hrs          225 miles                 225 miles / 5 hrs =  45 miles / hr
6hrs          270 miles                  270 miles / 6 hrs =  45 miles / hr

Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.

Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt 
Constant of proportionality is k which is D/T
d = 45t 

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Kevin has 244 marshmallows. He drops 16. If 9 people share the remaining marshmallows, how many will each get?
zepelin [54]

Answer:

<u>25.3333  = 25 with 3 left over</u>

Step-by-step explanation:

If he had 244 marshmallows, then dropped 16, that is the same thing as...

244 - 16 = 228

Then 9 people sharing his 228 marshmallows is the same thing as...

228/9 = 25.3333

7 0
3 years ago
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madam [21]
Parallel lines refers to a pair of straight lines that never intercept or touch each other. The slopes of this lines is the same one.

On this exercise is given the equation of a line, and is asked to find the slope of a line that is parallel to the given one.

5x-3y=1                     Subtract 5x in both sides
    -3y=-5x+1              Divide by -3 in both sides to isolate y
       y=5/3x-1/3


The slope of the given line, 5x-3y=1, is 5/3, which means that the slope of a line parallel to this one, would be 5/3. 

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A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that measure 36 degree
DIA [1.3K]

Answer:

  • <u><em>The name of the quadrilateral is</em></u><u> isosceles trapezoid.</u>

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4} and 1\frac{1}{4} constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

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