Answer:
x = 3, y = 1 is the solution of the given system.
Step-by-step explanation:
Here, the given system of equations is:
y = -x + 4 ...... (1)
y = x - 2 .......... (2)
Now, to find the solution of the system, SUBSTITUTE the value of y from equation (1) in to the equation (2). We get ,
y = x - 2 ⇒ -x + 4 = x - 2 ( as from (1), y = -x + 4)
or, -x -x = -2 -4
or, - 2 x = -6 ⇒ x = 6/2 = 3
or, x = 3
⇒ y = x - 2 = 3 - 2 = 1
⇒ y = 1
Hence, x = 3, y = 1 is the solution of the given system.
Answer:
0.7 hours
Step-by-step explanation:
Given that Irina was able to make the same distance from work to home in 0.4 of an hour at 27 miles per hour, we can use this rate and time to find the distance she travels to and from work using the general formula:
d = rt, where d=distance, r = rate and t = time
d = 27(0.4) = 10.8 miles
Since the distance from Irina's home to work is 10.8 miles, we can again use the formula 'd = rt' to find the time it takes her to bike to work at a rate of 16 miles per hour and solving for time, 't':
10.8 = (16)t
t = 0.7 hours
Let x represent the number of hamburgers sold, and (x - 55) represent the number of cheeseburgers sold.
Set up an equation:
hamburgers + cheeseburgers = total number of burgers
x + (x-55) = 445
solve for x:
2x - 55 = 445
2x = 445 + 55
2x = 500
x = 500÷2
x = 250
This means 250 hamburgers were sold on Tuesday.
Hope this helps!
-Jabba
6 in the hundreds place = 600
6 in the tens place =60
15 per child 7 go in so 15-7=8 the answer is 8 more children can jump is the bounce house
Hope this helped
