Answer: A translation and a reflection
Step-by-step explanation:
The answer is the second one. 20.075
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
Answer:
144 sweets
Step-by-step explanation:
Let
x----> number of sweets that Dan has
y----> number of sweets that Gordon has
z----> number of sweets that Malachy has
we know that
x=48
x/y=4/3----> y/x=3/4 ----> y=(3/4)x
Substitute the value of x
y=(3/4)48=36
x/z=4/5 ----> z/x=5/4 ----> z=(5/4)x
Substitute the value of x
z=(5/4)48=60
therefore
altogether there are x+y+z=48+36+60=144 sweets
She should get $44.59 back in change
3(6.75) + 4(8.79) = 20.25 + 35.16 = 55.41
100 - 55.41 = $44.59
