Hi there!
First, we need to make the denominators of the fractions the same. This can be done by multiplying 1/2 by 3/3 and 2/3 by 2/2. This gives us the fraction 3/6 and 4/6. We can subtract 4/6 from 3/6 to get -1/6, which will need to be taken out of the fraction later. Lastly, we will subtract 8-5 to get 3, of which we also need to subtract 1/6 from that. Therefore, Keith has 2 5/6 cups of flour left.
Hope this helps!! :)
Answer:
1)D 2)C 3)A 4)B 5) A
Step-by-step explanation:
1) The area rectangle is 36x^2 -1
We know ,
A= l*b
=36x^2 -1
=(6x)^2 -1
=(6x+1) (6x-2)
This the value of l,b respectively.
So, Perimeter of rectangle is 2(l+b)
P=2(6x+1) + 2(6x-1)
=24x
2)The area of square is 4(x+5)^2
We know,
A=l^2
=4(x+5)^2
=4(x^2 + 10x + 25)
=(2x+10)^2
This is the value of l=2x+10.
So, Perimeter of square is 4l
P=4(2x+10)
=8x+40
3)The fully factorized form is
= -2x^2 + 10x +12
= -2x^2 + 12x -2x +12
= -2x(x-6) -2(x-6)
= -2(x-6) (x+1)
4)The fully factorized form is
=x^4 -81
=(x^2)^2 -9^2
=(x^2 + 9) (x^2 - 9)
=(x^2 + 9) (x^2 - 3^2)
=(x^2 + 9) (x + 3) (x - 3)
5)The fully factorized form is
= 5x^4 - 320
= 5(x^4 - 64)
= 5((x^2)^2 - 8^2)
= 5(x^2 + 8) (x^2-8)
The square root of 29 is 5.3851
Compare the first number. In this case, both are five, so move on to the next number.
7 is greater than 3, so the answer would be 5.7145 > The square root of 29.
