Answer:
36 flowers are left over
Step-by-step explanation:
54 is 60% of 90
90-54=36
Answer:
30 boxes of cereal
Step-by-step explanation:
Divide 120 boxes equally among 4 shelves. 120/4 = 30
Answer:
We have a data set with 6 whole numbers:
{A, B. C, D, E, F}
The median, in this case, will be the mean of the two middle numbers, C and D.
Median = (C + D)/2 = 40
We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:
F - A =21.
And the mean will be:
Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:
(C + D)/2 = 40
Here we can just take:
C = 39
D = 41
Now our set is:
{A, B, 39, 41, E, F}
Now, A and B should be the largest possible whole numbers (and they must be smaller than 39
The two options are:
B = 38
A = 37
Now our set is:
{37, 38, 39, 41, E, F}
Now, remember that:
F - A = 21
F - 37 = 21
F = 21 + 37 = 58
Then our set will be:
{37, 38, 39, 41, E, 58}
And for E, we should pick the largest number that we could.
In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.
The largest number that meets those conditions is the number 57.
Then our set will be:
{37, 38, 39, 41, 57, 58}
And the mean of this set is:
Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45
Answer:
A. 8x - 9y = -23
Step-by-step explanation:
(-4,-1) and (1/2,3)
We write the equation in slope intercept form y=mx+b
then we convert it into standard form
m is the slope and b is the y intercept
(-4,-1) and (1/2,3)
To find out b we plug in (-4,-1) and slope m value in y = mx+b
-1 = (8/9) (-4) + b
Add 32/9 on both sides
Take common denominator 9
So equation y = mx + b becomes
Standard form is Ax + By = C
To get standard form , multiply the whole equation by 9
9y = 8x + 23
Subtract 8x on both sides
-8x + 9y = 23
Multiply the whole equation by -1
8x - 9y = -23