Answer:
White = 1.67 gallons
Blue = 0.33 gallons
Step-by-step explanation:
White : blue = 3 : 1
Total ratio = 3 + 1
= 4
Gallons = 2
White = 3 /4 × 2
= 6 /4
= 3/2 gallons
Blue = 1 / 4 × 2
= 2/4
= 1/2
If he later decide to dilute the color to a ratio of 5:1
Total ratio = 5 + 1
= 6
Total gallons = 2
White = 5 / 6 × 2
= 10/6
= 5/3 gallons
Or
= 1.67 gallons
Blue = 1 / 6 × 2
= 2 / 6
= 1/3 gallons
Or
= 0.33 gallons
Answer: y=6
Step-by-step explanation:
First distribute... 9p-36=18
then add 36 to the 18 to help isolate the variable..
9p=54
then to get the variable by itself divide 54 by 9 and get 6
Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula
A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years
Divide both sides by 300
take 'ln' on both sides
ln(3) = 0.035t ln(e)
ln(e)= 1
t= 31.3889
Round to nearest whole number
t= 31 years
<span>So we need to find the solutions to the equation (x+6)y=9 so we can arrange them in pair (x,y). We simply plug in the numbers into the equation. First pair (-5,9), we get (-5+6)9=9 so 1=1 and that is true, so first pair works. Second pair: (-3+6)3=9 we get (3)3=9 and 9=9 so second pair also works. Third pair: (3+6)1=9 we get 9=9, also works. Fourth pair: (7+6)9=9 we get 13*9=9 and 117=9 which is false so the fourth pair can't be a solution for the equation. The correct answers are A, B and C.</span>
You’re Right
Orientation of a Shape is the arrangement of its points after a transformation. Translations don’t change the positions of the points relative to the shape.
A reflection would be a example of a change in orientation, since the point places will change.
I hope you understood :)
