ab+bc>can is the correct answer
3. First start by making the mixed number into an improper fraction
15/5 butter for 1 batch; 15/4 batches
then simply multiply
11 and 1/4 cups of butter are needed to make 3 and 3/4 batches.
5. (I might not have gotten this one right btw) First you need to figure out how many books she read in one day.
6/5 = 1.2
Then multiply this number by 10
1.2 * 10 = 12
then multiply 1.2 * 20
1.2 * 20 =24
So Mr Barker can read 12 books in 10 days, and 24 books in 20 days.
6. change the mixed numbers to improper fractions
7/4 cups of cereal and 9/2 bowls of cereal
multiply the fractions together
7/4 * 9/2 = 63/8
change back to a mixed number
7 and 7/8
So Mr. N eats 7 and 7/8 cups of cereal every week (who measures out their cereal each morning anyway :), hope this helps!)
Answer:
Since b^2 -4ac = 256 we have 2 real distinct root roots
Step-by-step explanation:
4x^2+12x=7
We need to subtract 7 to get it in the proper form
4x^2+12x-7=7-7
4x^2+12x-7=0
The discriminant is b^2 -4ac
when the equation is ax^2 +bx+c
so a =4 b=12 and c=-7
(12)^2 - 4(4)(-7)
144 +112
256
If b^2 -4ac > 0 we have 2 real distinct roots
If b^2 -4ac = 0 we have one real root
If b^2 -4ac < 0 we have two complex root
Since b^2 -4ac = 256 we have 2 real distinct root roots
The quotient of -1 4/5 and 3 1/4 = (<span>-1 4/5) / ( 3 1/4)
= [ - (5 * 1 + 4) / 5 ] / [ (3 * 4 + 1) / 4 ]
= [ -9 / 5 ] / [ 13 / 4 ]
= [ -9 / 5 ] * [ 4 / 13 ]
= [ -9 * 4 ] / [ 5 * 13 ]
= -36/65
another way is to do it separately first: </span>-1 4/5 and 3 1/4
-1 4/5 = -(1 + 4/5)
= -(5/5 + 4/5)
= -9/5
3 1/4 = 3 + 1/4
= 3*4/4 + 1/4
= 12/4 + 1/4
= 13/4
so (-1 4/5) / ( 3 1/4)
= (-9/5) / (13/4)
= (-9/5) * (4/13)
= (-9*4) / (5*13)
= -36/65
Answer:
a > - 9
Step-by-step explanation:
Given
a + 6 > 0 ( subtract 6 from both sides )
a > - 6
Multiply both sides by 3 to clear the fraction
2a > - 18 ( divide both sides by 2 )
a > - 9
