<u>Answer</u>:
The number of hens is 100 and the number of roosters is 200.
<u>Step-by-step explanation:</u>
Let the number of hens be x and the number of roosters be y
then the total number of hens and roosters, is 300
so,
----------------------------(1)
Also the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,
----------------(2)
To solve the equations , multilpy eq(1) by 80
------------------(3)
Subracting (2) from (3)
substituting y in eq(1) we get
Step-by-step explanation:
So in the equation given, y = 2x - 3
you substitute x for whats given in the table in the x column.
Example
In the graph the first number under the x colum is -1.
y = 2x - 3 in the equation you take out x and put -1.
So now the equation becomes y = 2 × -1 - 3.
Using bedmas to solve the question you should get -5
Which now means y = -5
To plot the point now x would be -1 and y would be -5 (-1, -5)
Same thing for the second number in the x Column.
y = 2 × 1 - 3 which equals -1
To plot it
x = 1 y = -1. (1, -1)
And for the last number 3.
Agai. You substitute x for 3 which makes the equation y = 2 × 3 - 3
this gives you 3 and to plot it
x would be 3 and y would be 3
Answer: x < 2
Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.
Since 3 is being subtracted from <em>x</em>, we add 3
to both sides of the inequality to get <em>x < 2</em>.
Before we graph, write your answer in set notation.
We can write this as {x: x < 2}.
It's important to understand what this means.
This means that any number less than 2 is a solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on +2.
We use an open dot because +2 is not included as a solution.
Then draw an arrow going to the left.
Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
