Answer:
t=9
Step-by-step explanation:
5t-21.4=23.6
1) Start by adding 21.4 to both sides:
5t=45
2) Divide by 5 on both sides:
t=9
9514 1404 393
Answer:
14.71°
Step-by-step explanation:
The tangent relation can be helpful here.
Tan = Opposite/Adjacent
With reference to the attached diagram ...
tan(22°) = CD/DA = (150 ft)/DA
tan(x) = CD/DB = (150 ft)/(DA +200 ft)
Substituting for DA, we find ...
tan(x) = (150 ft)/((150 ft)/tan(22°) + 200 ft) ≈ 150/(371.26 +200) ≈ 0.262576
x = arctan(0.262576)
x ≈ 14.71°
Say the total allowance is X.
4/9X=$28
Therefore 28/(4/9) = $63
The correct answer is C. Mark’s method is correct because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Explanation:
To begin Mark should determine the rate of delivery (number of houses the carrier can deliver in 1 minute). This can be found by dividing the houses by the minutes (36 / 30 = 1.2 houses per minute). This means the 1.2 rate found by Mark is correct; also, in this case, it is important to clarify, the carrier will not deliver to 1.2 houses at the same time, but this is the delivery rate or number used to understand the relationship between the number of houses, and the time.
Moreover, you can use this rate, and multiply it by 7.5 and this will show you how many houses the carrier can deliver in this time (7.5 (minutes) x 1.2 (delivery rate) = 9 houses). Thus, the method is correct, and in it, 1.2 represents the unit rate, this is why even when it is not possible to deliver to 1.2 houses all the process is correct.
5 - 8 would be a negative answer
think of it as a bank account if you $5 in the account and you take away $8, how much would you have after? $-3 so your answer would be -3
and same with -5-(-3)
this would be -2