Part A
49-14 = 35
<span>35/7 = 5 </span>
Part B
5 miles each day
Part C
<span>49+35 = 84 </span>
<span>84+40 = 124, which is a good estimate and it is reasonable</span>
Answer:
26
Step-by-step explanation:
The diameter of the wheel is 29 in.
The circumference of the wheel is 3.14 × 29 in = 91.06 in.
For each revolution, the bike moves forward one circumference. So the number of revolutions is (200 ft × 12 in/ft) / 91.06 in ≈ 26.
Answer:
A) Sheri has the faster commute by 6.2 miles/hr.
Step-by-step explanation:
Given
John's commute to work
Sheri's commute to work
John's commute to work in miles per hour =
Sheri's commute to work in miles per hour =
We can see that Sheri has a faster commute.
Difference between the rates =
∴ Sheri has the faster commute by 6.2 miles/hr.
Answer:
1/x^4
Steps:
(1/2x)^4 = <em>1/2^4x^4</em>
= 16 * 1/2^4x^4
Multiply fractions: <em>a * b/c = a * b/c</em>
= 1 * 16/2^4x^4
Multiply the numbers:<em> 1 * 16 = 16</em>
16/2^4x^4
Factor 16: <em>2^4</em>
= 2^4/2^4x^4
Cancel the common factor: <em>2^4</em>
= 1/x^4
Answer:
y= -1/15x + 16/15
Step-by-step explanation:
When two lines are perpendicular to each other that means their slopes are the negative reciprocals of each other.
So that means if a line has has a slope of 6, a line perpendicular to that line will have a slope of -1/6.
(a reciprocal is when the fraction is flipped over)
In this case, the negative reciprocal of 15 would be -1/15. So the slope of the line that is perpendicular would be -1/15.
The equation we would have so far for that line would be: y=-1/15x+b
Now we have to find the 'b' or the y intercept, which we can get by plugging in the point that was given (1,1), which is on that line.
Which gives us 1=-1/15(1)+b.
1=-1/15+b
1+1/15=b
Then you solve for b and get b= 16/15.
The equation of the line that is perpendicular to the given line is y= -1/15x + 16/15.