Answer:
(1, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
Answer: 5 nights
Step-by-step explanation: Mr. Gareth's Entertainments has a one time fee of $5.00, then charges $0.50 per night for a game, while Ben's Video shack charges $1.50 to rent a video game for a night. We can set up equations for both places. We can let x = the amount of nights the game is being rented for. Mr. Gareth's Entertainments = $0.50x + $5.00 because $0.50 is being charged every night and $5.00 was charged only once. Ben's Video shack = $1.50x. We can make the equations equal to eachother, so $1.50x = $0.50x + $5.00
We can subtract by $0.50x both sides to make it so only one side will have x. This will make the equation easier to solve. By subtracting $0.50x from both sides, we get $1.00x = $5.00. Since we made x = the amount of nights the game is being renmted for, we know x = 5, so it would take 5 nights.
We can double check. $1.50 * 5 = $7.50
$0.50 * 5 = $2.50
$2.50 + $5 = $7.50
8+5+2+5=20
5 boots = 5/20 or 1/4
1÷4= 0.25
0.25 × 100 = 25%
Answer: 1/6 package of pepperoni
Step-by-step explanation:
There were three pizzas and Mom used 1/2 package of pepperoni on all of them in an equal amount.
The fraction that each pizza got is therefore this 1/2 divided by the number of pizzas it was used on which is three.
= 1/2 ÷ 3
This is the same as:
= 1/2 * 1/3
= 1/6 package of pepperoni
120° is the correct answer<span />
