Answer:
x= -2 and y= 3
Step-by-step explanation:
since x = 2y -8, substitute this in the first equation
Thus, -3(2y-8) + 2y =12
-6y+24+2y=12
-6y+2y=12-24
-4y=-12
y=3
put the value of y in the second equation,
x=2y-8
x=2(3)-8
x=6-8
x=-2
So, x=-2. y=3
Okay lets get started.
I drove 110 miles with speed of 55 mi/hr so the time taken =
time = distance / speed
time = 110 / 55 = 2 hrs For the distance which is covered with 55 mi/hr speed.
Total time for reaching home is 4 hrs 15 minutes. (given in question)
Means rest distance after snow is covered in = 4 hrs 15 minutes - 2 hrs
= 2 hrs 15 minutes = 2 + 15/60 = 2.25 hrs
The speed in snow driving is 35 mi/hr
So distance covered in snow driving is = 2.25 * 35 = 78.75 miles
Hence the total distance = 110 + 78.75 = 188.75 miles : Answer
Hope that will help :)
Answer:
The team has 92 wins and 38 losses.
Step-by-step explanation:
In a season 130 games are played by a baseball team.
Let us assume that the team wins x games and losses y games.
Therefore, we can write, x + y=130....... (1)
It is given that if the team won sixteen more games twice as many games as it lost.
So, we can conclude that x =2y+16 ......(2)
Hence, solving equations (1) and (2) we get, (2y+16) + y =130
⇒ 3y = 114
⇒ y =38
And from equation (2), x = 2×38 + 16 = 92
Therefore, the team has 92 wins and 38 losses. (Answer)
Answer:
b1 = 22 ft
the length of the base next to the goal is 22 ft
Step-by-step explanation:
From the given formula;
Area A = 1/2×(b1 + b2)h ........1
Given;
Area A = 275ft^2
base b2 = 28 ft
base b1 = ?
height h = 11 ft
From equation 1;
Making b1 rhe subject of formula;
A = 1/2×(b1 + b2)h
Multiply through by 2;
2A = (b1+b2)h
b1+b2 = 2A/h
b1 = 2A/h - b2 ...... 2
Substituting the given values into equation 2;
b1 = 2(275)/11 - 28
b1 = 50 - 28
b1 = 22 ft
the length of the base next to the goal is 22 ft
The only one that gives 1024 is A.
