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quester [9]
3 years ago
7

Anne is running on a trail at an average speed of 6 miles per hour beginning at mile marker 4. John is running on the trail at t

he constant speed, shown in the table. How can you determine who is running faster?
Table
Time (hours) x: 0, 0.5, 1, 1.5
Mile Marker, y: 1, 4.5, 8, 11.5
Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

John is running faster.

Step-by-step explanation:

Given that:

Average Speed of Anne = 6 miles per hour

Speed of John can be represented in the table below:

\begin{center}\begin{tabular}{ c c}Time (hours) x & Mile Marker y \\ 0 & 1  \\  0.5 & 4.5  \\   1 & 8  \\ 1.5 & 11.5  \\\end{tabular}\end{center}

To find:

Who is running faster of the both i.e. Anne and John?

Solution:

Here, to find the faster runner we can compare the average speed of both the runners.

We are given that, average speed of Anne = 6 miles per hour

We will have to calculate the average speed of John to find the faster runner.

<em>Average speed</em> can be calculated by dividing the total distance traveled with the total time taken.

Total distance traveled by John = 11.5 - 1 = 10.5 miles

Total time taken by John = 1.5 hours

Average speed of John = \frac{10.5}{1.5} = 7\ miles/hr

Clearly Average speed of John is greater than that of Anne's.

Therefore, <em>John runs faster</em>.

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The letters of the alphabet are written on cars and placed in a brown paper bag. What is the probability of drawing a vowel, rep
Oksanka [162]

Answer:

25 / 676

Step-by-step explanation:

There are 5 vowels in the alphabets, and there are 26 alphabets in total as a whole.

The probability of drawing a vowel kb first trial is going to be

5 / 26, total number of vowels and total number of alphabets as a whole.

Again, we're told to replace the picked vowel, and pick another vowel, so that will once again be

5 / 26.

To get the final answer, we multiply both answers by each other

5 / 26 * 5 / 26 = 25 / 676.

Therefore, the probability has been found to be 25 / 676

6 0
3 years ago
Could someone please help me out
s344n2d4d5 [400]

Answer:

1: 3/1 also just 3

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Step-by-step explanation:

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2 years ago
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi
Svetlanka [38]

Answer:

x≤−11

Step-by-step explanation:

−99≥18x−9x

−99≥9x

−

​9

​

​99

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5 0
2 years ago
Find the value of each variable in the parallelogram
wlad13 [49]

Answer:

B= 90

C= 80

D= 100

Step-by-step explanation:

So let’s start with the bottom angles.

We know that the adjacent angles in a parallelogram add up to 180° so our equation would be (b-10) + (b+10)=180. So let’s simplify it b and b are both the same variables so we will get 2b and -10 + 10 is 0 so we get the following equation 2b=180.

So now we divide 180 and 2 and we get 90 as b.

So one side will be 100 because of the +10 and the other 90 because of the -10.

Now for the next side.

d+c=180

So we know that b+10 is adjacent to c so 180-100 is 80, so 80 is c.

Now for d.

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7 0
3 years ago
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lbvjy [14]

Answer:

x^3-3x^2+2x-\frac{3}{2}

Step-by-step explanation:

We can divide polynomials by other polynomials by dividing each term by the denominator. Remember, when we divide a variable by itself, we must change the exponent in our answer according to exponent rules.

\frac{ (2x^4-6x^3+4x^2-3x)}{2x}=\frac{2x^4}{2x} -\frac{6x^3}{2x} +\frac{4x^2}{2x} -\frac{3x}{2x} =x^3-3x^2+2x-\frac{3}{2}


4 0
3 years ago
Read 2 more answers
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