Answer:
See below
Step-by-step explanation:
1. A
2. F
3. G
4. I
2 of the 8 slices of pie A were sold (2/8)
3 of the 6 slices of pie B were sold (3/6)
Both of these fractions can be simplified
2/8 --> 1/4
3/6 --> 1/2
In order to add these two fractions, they must have a common denominator. This can be accomplished by multiplying the second fraction by 2
1/2 --> 2/4
Now we can add the two
1/4 + 2/4 = 3/4
Therefore 3/4 of the pie has been sold. In order to find out how much remains, we must subtract the amount that has been sold from the original amount of pie (2)
2 - 3/4 = 1 1/4 = 1.25
Answer:
1 hour and 7 minutes
Step-by-step explanation:
- set up two equations:
=
- cross multiply: 4.42x =294
- solve for x: 294 ÷ 4.42 = 66.52 or 67 minutes
The question is asking for hours rather than minutes so...
- 1 hour is 60 minutes
67 min - 60 min = 7 min
Therefore, it would take 1 hour and 7 minutes to fill a 294-gallon hot tub.
Answer:
Step-by-step explanation:
f(x)= 2x + 5
g(2x + 5)= (2x + 5)^2 = 4x^2 + 20x + 25
h(4x^2 + 20x + 25)= -2(4x^2 + 20x + 25)= -8x^2 -40x - 50
X would be r*cos theta and y would be r*sin theta.
Here, x is 5cos 135 deg = 5(-1/sqrt(3))
and y is 5* sin 135 deg = 5*(1/sqrt(3))
Write this point in the form (x,y), using the above values for x and y.