Answer:
The HCF is 75
Step-by-step explanation:
Here, we want to get the highest common factors of the two numbers
To do this, we have to write the numbers as the product of their prime factors
We have;
3,000 = 2 * 2 * 2 * 3 * 5 * 5 * 5
525 = 3 * 5 * 5 * 7
now looking at this, we can see that in both numbers, we can have 3 * 5 * 5 taken out as it is common to both numbers
This represents the highest common factor of the two numbers
and that is 75
Answer:
36 mph
Step-by-step explanation:
The appropriate relations are ...
time = distance/speed
speed = distance/time
Suppose the race has a total length of 360 miles. Then half the race is 180 miles.
The cyclist's time on the first half is (180 mi)/(30 mi/h) = 6 h.
The cyclist's time on the second half is (180 mi)/(45 mi/h) = 4 h.
The total time is 10 h for the total distance of 360 mi, so the average speed is ...
(360 mi)/(10 h) = 36 mi/h
_____
The length of the race doesn't matter. The above numbers make the math convenient. The average is computed from ...
1/((1/2)/30 + (1/2)/45) = 2/(1/30 +1/45) = 2·30·45/(30+45) = 36
This is the <em>harmonic mean</em> of the numbers 30 and 45.
If the polygon or the figures are similar then it is
known that the ratios of their corresponding sides and angles are proportional.
In this item we can derive an equation that is,
<span>
AC/AE = AD/AB</span>
Substituting the known values,
<span>
4/7 = 10/AB</span>
<span>AB from the equation is equal to 70/4 or equal to 17 ½. </span>
Answer:
5
Step-by-step explanation:
7+8=15
15 x 3 = 45
45/9=5
Answer:
8x-15y=84
Step-by-step explanation:
Multiply 12 to both sides to get rid of the fractions.
