50 POINTS PLEASE HELP ME!! PLEASE HURRY ASAP!!!!! Solve for x
1 answer:
<h3>Answer:</h3>
x = 4.8
<h3>Step-by-step explanation:</h3>With angles like this these ones, the 2 lines equal the same amount. To find the length of one of the lines, you multiply the given lengths.
So, for the first angle, the line with both angles has a 4 and 6, so the length of the line is 24.
Since the lines are equal, to find the length of x you take 24 and divide it by 5, which gives you 4.8, or 24/5.
This means x = 4.8.
To double check, you can simply multiply 4 and 6, then 5 and 4.8. If the answers are the same, it is correct.
<u><em>This applies to all 3 angles shown. </em></u>
<em>Hope this helps!</em>
<em>Visual Explanation:</em>
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Answer:
a)
We need to produce 600 100-lb bags of the grade A fertilizer
We need to produce 800 100-lb bags of the grade B fertilizer
We need to produce 500 100-lb bags of the grade C fertilizer
b)
We need to produce 700 100-lb bags of the grade A fertilizer
We need to produce 850 100-lb bags of the grade B fertilizer
We need to produce 300 100-lb bags of the grade C fertilizer
Step-by-step explanation:
I am going to say that:
x is the number of 100-lb bags of grade A fertilizer
y is the number of 100-lb bags of grade B fertilizer
z is the number of 100-lb bags of grade C fertilizer
We have that:
A 100-lb bag of grade A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate and 5 lb of potassium.
A 100-lb bag of grade B fertilizer contains 20 lb of nitrogen and 4 lb each of phosphate and potassium.
A 100-lb bag of grade C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium.
A) 38,800 lb of nitrogen, 7,100 lb of phosphate, and 9,200 lb of potassium are available and all the nutrients are used
This means that we have to solve the following system:
In the second equation, i am going to write y as a function of x and z, and replacing of the the first and the third equation.
In the first equation
In the third equation
Now we have:
Now we multiply the second equation by 2, and add with the first:
We need to produce 500 100-lb bags of the grade C fertilizer
We need to produce 600 100-lb bags of the grade A fertilizer
We need to produce 800 100-lb bags of the grade B fertilizer
B) 33,800 lb of nitrogen, 6,500 lb of phosphate, and 8,100 lb of potassium are available and all the nutrients are used
This means that we have to solve the following system:
In the second equation, i am going to write y as a function of x and z, and replacing of the the first and the third equation.
In the first equation
In the third equation
Now we have:
Now we multiply the second equation by 2, and add with the first:
We need to produce 300 100-lb bags of the grade C fertilizer
We need to produce 700 100-lb bags of the grade A fertilizer
We need to produce 850 100-lb bags of the grade B fertilizer