Answer:
D) 0
Step-by-step explanation:
Remainder is zero as 10 is fully divisible by 2.
<u>Proof</u>:
- 27x^3 + 9x^2 – 3x – 10 = (3x -2) (9x^
2 +9x+5)
<u>Correct choice is</u> D) 0
Answer:
22.5 quarts
Step-by-step explanation:
Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.
The ratio of orange juice to apple juice is therefore:
2 : 5 or 2/5
Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:
2 / 5 = 9 / x
x = (9 * 5) / 2 = 22.5 quarts
He will need 22.5 quarts of apple juice.
Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
Answer:
m<4=40
Step-by-step explanation:
Supplementary angles form 180 degrees
m<3 is vertical to the 50 degree angle which is equal.
so. m<3=50
m<5=90
90+50=140
180-140=40
m<4=40
