Answer:
4.8 liters
Step-by-step explanation:
o=orange juice c=cranberry juice
Punch = 4/5o + 1/6c it means that any quantity of punch will have the same proportion of the two ingredients
now, you know that 1 liter can be written as 6/6 liters, so to get those 6/6 you multiply 1/6 by 6
for the proportion to remain valid, you must multiply by 6 also the other ingredient so (4/5)*6 = 24/5 of a liter of orange juice per liter of cranberry juice and 24/5 = 4.8 liters
The perimeter is 18. Which would be the distance.
Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.
So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.
So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.
So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.
