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il63 [147K]
3 years ago
10

Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y,

to the number of hours, x? 0.02 57.5 287.5 5
Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

  57.5

Step-by-step explanation:

The constant of proportionality is "k" in the equation ...

  y = kx

It can be found from values of x and y using ...

  k = y/x

For the given values, it is ...

  k = (287.5 mi)/(5 h) = 57.5 mi/h

The constant of proportionality relating miles to hours is 57.5.

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A car run 3/4 mile per minute another car can run 4/5 mile per minute.what is the difference in speed in miles per hour?
dybincka [34]

Answer:

3 miles per hour

Step-by-step explanation:

We need to subtract the two numbers to find the difference in speeds

4/5 - 3/4

We need to get a common denominator of 20

4/5 *4/4 - 3/4 *5/5

16/20 - 15/20

1/20  

The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.

The question asks for miles per hour, not miles per minute.  We know  that there are 60 minutes per hour.

1/20 miles per minute * 60 minutes / hour

60/20 miles/hour

3 miles/ hour

The car going 4/5 miles per minute is going 3 miles per hour faster than the car going 3/4 miles per minute.

3 0
3 years ago
Expressions and Equations
mylen [45]
Use photomath it is a really good app u should try it
7 0
3 years ago
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
FinnZ [79.3K]

Answer:

The ball reaches a height of 29.25 ft after 1.125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(36)/2(-16)

-36/-32

1.125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 36t + 9

h = -16(1.125)^2 + 26(1.125) + 9

29.25 feet

6 0
3 years ago
Read 2 more answers
What is the gradient of the graph shown?<br> Give your answer in its simplest form.
AlekseyPX

Answer:

m = —1/3

Step-by-step explanation:

There are two clear points shown on the graph

point 1: (0;3)

point 2: (6;1)

m =  \frac{y2 - y1}{x2 - x1}

m =  \frac{1 - 3}{6 - 0}

m =  - \frac{2}{6}

m =  -  \frac{1}{3}

5 0
2 years ago
Read 2 more answers
Find the value of X, Z and Y.
FromTheMoon [43]

Answer:

x = 5; y = 138, z= 42

Step-by-step explanation:

4x- 17 = 3 [ opposite sides of a parallelogram are equal]

4x = 3+ 17 = 20; X= 20/4 = 5

138 + Z = 180( angle on a straight line)

Z is an alternate angles to the remaining angle off 138 forming the straight line.

z= 180-138 = 42 degrees

Y = 138 [ opposite angles of a regular quadilareral been equal]

6 0
3 years ago
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