Answer:
A= 29
B=34
C=117
Step-by-step explanation:
<u>A triangle has three sides and a triangle always adds up to be 180</u>
A + B + C = 180
B = A + 5
C = 4A + 1
Plug in.
A + A + 5 + 4A + 1 = 180
6A + 6 = 180
6A = 174
A = 29
<u>Now since you found A, find the other two by plugging A in!</u>
C = 4(29) + 1
C = 117
<u>Plug in the B equation</u>
B = 29 + 5
B=34
Check your answers
29 + 117 + 34 = 180
The formula for finding speed is distance divided by time:
Speed = Total Distance / Total Time
D1 = 50
TI = 4
D2 = 77
T2 = 3
Average speed = D1 + D2 / TI + T2
Average Speed = 50 + 77/ 4 + 3 = 127 / 7 = 18.14.
Therefore, the average speed of the train is 18.14 m/s.
Answer:
$5225
Step-by-step explanation:
Use the formula for the amount after simple interest: 
"A" is the final amount, or balance.
"P" is the principal, or the starting amount.
"r" is the rate of interest in decimal form.
"t" is the time.
What we know:
P = 5000
t = 3
r = 1.5%
Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.
1.5% => 0.015 = r
Substitute what we know into the formula:
A = P(1 + rt)
A = 5000(1 + (0.015)(3)) <=simplify
A = 5000(1 + 0.045)
A = 5000(1.045)
A = 5225 <= new balance
The new balance of an account is $5225.