1.
a.11/12=less than one
b. 77/72= greater than one
c.23/60= less than one
d. 31/56= less than one
2. <
Answer:the repair shop is 5km from her house.
Step-by-step explanation:
Let x represent the distance of the repair shop from her house.
Let y represent Emily's speed when riding.
Distance = speed × time
It took Emily 25 min to ride her bike to the repair shop. Converting 25 min to hours, it becomes 25/60 = 5/12 hours.
Distance covered,
x = y × 5/12 = 5y/12
It took her 1h 15 min to walk back home. Converting to hours, it becomes 1 + 15/60 = 1 1/4 = 5/4
If she can ride her bike 8km/h faster than she can walk, it means that her speed while walking would be y 8 8
Therefore,
Distance covered,
x= 5/4(y - 8) = (5y - 40)/4
Since the distance remains the same, then
5y/12 =(5y - 40)/4
Crossmultiplying, it becomes
5y × 4 = 12(5y - 40)
20y = 60y - 480
60y - 20y = 480
40y = 480
y = 480/40 = 12
x = 5y/12 = 5 × 12/12 = 5 km
190 min.................................
Answer:
66%(technically 0.66 repeating)
Step-by-step explanation:
We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:
Now that we formed this equation, we can solve for the percentage as if it was x.
First lets simplfy:
Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:
=
Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):
=
percentage = 66%
Hope this helps! :3
