To subtract fractions, we need an lcd( lowest common denominator)
8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction
to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)
to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)
these two numbers now have the same denominator so we subtract them
24/42 - 21/42 = 3/42 which simplifies to 1/14
9. since these fractions already have a common denominator, we will make them mixed fractions
-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7
-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7
now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7
Answer:
8 nickels
Step-by-step explanation:
Let n be the number of nickels.
4: (2+ 6 + 4 + n) = 1:5
4÷(12 + n) = 1÷5
4 x 5 = 1 x (12 + n)
20 = 12 + n
n = 8
Answer:
A chemical bond that involves the sharing of electron pairs between atoms.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2x(x^4 + 6x^2 - 27)
x^4 + 6x^2 - 27 = 0
x^2 = y
y^2+ 6y - 27 = 0
(y+9)(y-3) = 0
(x^2+9)(x^2-3) = 0
2x(x^2-3)(x^2+9)
Answer: last option
Step-by-step explanation:
You need to remember the identity:

You need to find the cosine of angle P, then, you can identify in the figure that:

Therefore, the next step is substitute these values into
, then you get:

You can observe that this matches with the last option.