Answer:
her supply has 18 pounds
Explanation:
Assume that the number of pounds in her supply is x.
We are given that:
She uses 1/3 x in salted mix and 2/9 x in unsalted mix.
This means that:
Total amount used = 1/3 x + 2/9 x = 5/9 x of her supply
Now, we are also given that:
She used 10 pounds of her supply.
This means that:
5/9 x = 10
5x = 9*10 = 90
x = 18 pounds
Hope this helps :)
Answer:
The amount is $418.35 and the interest is $98.35
Step-by-step explanation:
Answer:
The length of x in #1 is 15.57
Step-by-step explanation:
Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.
Sinα = Opp/Hyp
Tanα = Opp/Adj
Cosα = Adj/Hyp
As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.
Tanα = Opp/Adj -----> Plug in known values
Tan(60) = x/9 ----->Calculate out the trig function
1.73 = x/9 -----> Multiply by the denominator to solve
15.57 = x
The solutions to the given system of equations are x = 6 and y = -5
<h3>Simultaneous linear equations</h3>
From the question, we are to solve the given system of equations
The given system of equation is
4x+5y=-1
-5x-8y=10
Multiply the <u>first equation</u> by 5 and the <u>second equation</u> by 4
5× (4x+5y=-1)
4× (-5x-8y=10)
20x + 25y = -5
-20x - 32y = 40
------------------------
0x + (-7y) = 35
-7y = 35
y = 35/-7
y = -5
Substitute the value of y into the first equation to find x
4x + 5y = -1
4x + 5(-5) = -1
4x -25 = -1
4x = -1 +25
4x = 24
x = 24/4
x = 6
Hence, the solutions to the given system of equations are x = 6 and y = -5
Learn more on Simultaneous linear equation here: brainly.com/question/12647791
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Basically it’s a proportionality...hope this helps :)
