Yes, 8 is a solution
r - 3 ≤ 9; r = 8
plug in 8 to r
(8) - 3 ≤ 9
5 ≤ 9 (true)
hope this helps
Answer:
B) 42:28
Step-by-step explanation:
First, let's get 12:18 simplified to make it easier to compare:
12:18 -> 4:6 - > <u>2:3</u>
Now let's check it against all the options:
A) 20:30 -> 2:3 and 2:3 = 2:3
Not our answer as it is congruent (equal too, the same as, etc)
B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!
42:28
(it simplifes to 6:4 -> 3:2)
(we do not have to do the following as we already have an answer, but here is the math)
C) 4:6
4:6 ->
2:3 = 2:3
D) 2:3
2:3 = 2:3
Answer:
The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
Step-by-step explanation:
The given parameters can be summarized as:
Where: x = Soybeans and y = Oats.
So, the system of equations are:
The best way to solve this, is using graph
Plot the following equations on a graph, and get the points of intersection:
From the attached graph, we have:
Substitute each of the values of x's and y's in the cost function to get the minimum cost:
The values of x and y that gives the minimum cost is:
and the minimum cost is:
Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
Rectangle ABCD
Line AB = 4 - 1 = 3
Line CD = 4 - 1 = 3
Line AC = 2 - 1 = 1
Line BD = 2 - 1= 1
If line A'B' = 6
the scale factor of the dilation is 2.
Line AB: 3 x 2 = 6 line A'B/
