Answer:
i worked some of it out
Step-by-step explanation:
1 mile = 5,280ft
1 hour = 8 miles
30 min = 4 miles
15min = 2 miles
7.5 (7min and 30 sec) = 1 mile
3.75(225 sec) =1/2 mile = 2,640ft
0.25(quarter of a mile) = 1,320ft
i just completely lost myself but if this helps then great! sorry if i wasted your time
Amount of pizza dough that Rosa has = 4 1/2 pounds
= 9/2 pounds
Amount of dough required by Rosa to make 1 pizza = 3/4 pounds
Then
The number of pizza that can be made with 9/2 pounds of dough = 1/(3/4) * (9/2)
= (4/3) * (9/2)
= 2 * 3
= 6
So Rosa can make 6 pizzas with the amount of dough she has.
I hope the procedure is clear enough for you to understand.
Glad to have helped you.
Answer:
Samuel is correct i.e there are infinitely many solutions
Step-by-step explanation:
Given that Samuel and Hayden solved the system of equations –6x – 6y = –6 and 7x + 7y = 7. we have to find that whether the system of equations has infinitely many solutions or not.
A system of linear equations has infinite solutions if the graphs are the exact same line i.e the the equations are equivalent.
The first equation: –6x – 6y = –6 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1
The second equation: 7x + 7y = 7 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1.
Here, we get the equation which has the same slope and y-intercept as that of the first equation.
In other words, the two equations are represented by the same line. This implies that the lines intersect infinitely many times, or that the system has infinitely many solutions.
Hence, Samuel is correct.
Answer:
Step-by-step explanation:
Given 3x - 2y = 0, which can be re-written as 3x = 2y, find the intercepts.
y-intercept: let x = 0 and find y. y = 0. So the y-intercept is (0, 0).
x-intercept: let y = 0 and find x. The x-intercept is (0, 0) also.
Df/dy=(1350-750)/(2010-2000)
df/dy=60
f(y)=750+60(y-2000) or neatened up a bit...
f(y)=60y-119250 (note: y is the actual year, ie 2005, not year like 2 years from start)
