Remark
You know the most about the trip on the way back and the total of the two trips.
Way Back
r = 30 mph
d = distance traveled
t = t - 1 where t = the time to go there which we know nothing about
Total Distance
2d = 25 mph * (t + t - 1)
2d = 25 * (2t - 1)
2d = 50t - 25 Divide by 2
2d = 50t/2 - 25/2
d = 25t - 12.5
Equation coming back
d = 30*(t - 1)
d = 30t - 30
Comment
Since the distances are the same, equate them.
Solution
25t - 12.5 = 30t - 30 Subtract 25t from both sides
25t - 25t -12.5 = 30t - 25t - 30 Combine like terms
-12.5 = 5t - 30 Add 30 to both sides
-12.5 + 30 = 5t - 30 + 30 Combine
17.5 = 5t Divide by 5
17.5/5 = t Divide and Switch
t = 3.5
t is the time going there
t - 1 is the time coming back
Total time = 2*t - 1 = 2*3.5 - 1 = 6
The total time is 6 hours. Answer
<h2>
Answer: 13 & 19</h2>
<h3>
Step-by-step explanation:</h3>
Let the bigger number be 'U' and the smaller number 't'.
Since the two numbers have a sum of 32, then U + t = 32.
& since one number is 6 more than the other, the U - 6 = t
⇒ U + U - 6 = 32
2U = 38
U = 19
By substituting fot the value of U we found,
19 - 6 = t
t = 13
<h3>∴ the numbers are 13 & 19.</h3>
Answer:
$ 0.34 or 34 cents
Step-by-step explanation:
Bill amount = $31.18
sales tax = 6% of $31.18
= 0.06 ($31.18)
= $1.8708
Bill with tax = $31.18+$1.8708
= $33.0508
value of tip = 20% of 33.0508
= 6.61016
Total payment = 33.0508+ 6.61016
= $39.66096
or $39.66
We get change of $40 - $39.66
= $ 0.34
We shall get back in cents that will be 34 cents
Total cost of painting 225 cm² will be:
Cost=(total area)×(cost per cm²)
area=225 cm²
cost per cm²=$0.12
thus the total cost will be:
Cost=0.12×225=$27
Answer: $27
