Answer:
Step-by-step explanation:
The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
<h3>What is distance?</h3>
Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
Speed = 72 km/h
time = 45 mins = 45/60 = 0.75 hours
We know,
Distance = Speed×time
Distance = 72(km/h)×0.75(h)
Distance = 54 km
Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
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Answer:
y ≤-7
Step-by-step explanation:
-8y ≥56
Divide each side by -8. Remember to flip the inequality
-8y/-8 ≤56/-8
y ≤-7
Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
Answer:
Option A is the correct answer.
Step-by-step explanation:
Here we need to factorize x²+3x−18
The coefficient of x is 3 and the constant is -18
Which means
The sum of factors is 3
The product of factors is -18
The factors satisfying are 6 and -3
Here the factors are given in the type (x+)(x−)
So the value after plus is 6 and value after - is 3
Option A is the correct answer.
