Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:
The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:
So, we have the following system
If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?
I am going to write y as a function of x in 1), and replace in 2). So:
means that
Now, going back to 1:
He should plant 100 acres of corn and 400 acres of wheat.
Answer:
m<ABD = 56 degrees
Step-by-step explanation:
If a segment/ray/line bisects an angle, it divides it into 2 equal parts
Since BE bisects ABD, it will divide it into 2 equal parts, one of which is 28 degrees (given)
Now we can find the measure of ABD by doing 28*2=56
Complete Question
A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.
A: what is the probability that a person in this population is a teenager?
B: what is the probability of selecting a participant who is at least 20 years old?
We have that probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is
From the question we are told
A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.
a)
Generally the equation for the probability that a person in this population is a teenager is mathematically given as
P(T)=0.38
b)
Generally the equation for the probability of selecting a participant who is at least 20 years old is mathematically given as
P(T')=0.63
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Answer:
C. 468mm²
Step-by-step explanation:
The formula for the surface area of rectangular prism is:
Let's break down our variables.
L = 12mm
W = 6mm
H = 7mm + 2mm = 9mm
Now we substitute our values in the formula:
-4 I believe I’m not sure tho