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polet [3.4K]
3 years ago
15

A bus travels 36 miles in 45 minutes. How many miles will the bus travel in 60 minutes at this rate. Show a ratio.

Mathematics
1 answer:
ankoles [38]3 years ago
3 0
A rate is a special ratio in which the two terms are in different units. A rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:

rate = 36 miles / 45 min = 0.8 miles per min
distance traveled = 0.8 miles per min ( 60 min ) = 48 miles
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Table:
Fynjy0 [20]

Answer:

2) Yes, each x-coordinate is only used once.

3) {1,2,3,4}

4) {25,45,60,70}

5) (3,60)

6) No because (4,7) and (4,25) share the same x-coordinate.

Step-by-step explanation:

A relation is a function if there is no more than one y-value assigned to an x.

Any x used can only be used once in an order pair.

You that here.

(1,25)

(2,45)

(3,60)

(4,70)

So basically because all of the x-coordinates are different, this is a function.

The domain is the x-coordinate of each pair (the first of each pair):

{1,2,3,4}.

The range is the y-coordinate of each pair (the second number of each pair):

{25,45,60,70}.

One ordered pair that I see in the table is (3,60). There are 3 others you can choose and I named them above.

{(4,10),(3,15),(1,5),(2,25),(4,25)} is not a function because there are more than one pairs with the same x-coordinate,4.  

3 0
3 years ago
What is the solution to the system of equations? Use the substitution method.
aleksandrvk [35]
{ y = 3 x - 4
  9x -3y = 14

Subsititute y = 3x-4 :

[ 9 x - 3 ( 3 x-14 )=14]

Refine:

9 x  - 3 ( 3 x - 4 ) = 14

- 2 = 0

is false , therefore the system of equations has no solution

Answer A

hope this helps! 
3 0
3 years ago
Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?
Gre4nikov [31]

The average rate of change is defined as:

AVR = \frac{f(x2)-f(x1)}{x2-x1}

For AVR to be negative, it must comply with:

x2 - x1> 0

f (x2)

Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.

Among the options given, this interval is:

1 to 2.5

Answer:

An interval on the x-axis that has a negative rate of change is:

D. 1 to 2.5

3 0
3 years ago
Read 2 more answers
You are comparing to wireless services. Verizon changes $35 a month and $5 per gigabyte of data.
ikadub [295]
A) Gigabytes = x
B) 35+5x = 25+10x
10 = 5x
2 = x
C) After 2 gigabytes, the wireless services will cost the same ($45)
7 0
2 years ago
What is the value of n in the equation (1)/(2)(n-4)-3=3-(2n+3)
Pavel [41]

(1/2)(n-4)-3=3-(2n+3)

n = 2

but if it is

(n-4)-3=3-(2n+3)

n = 7/3

5 0
3 years ago
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