How many solutions are there to the equation below 6×+30+4×=10(×+3)
1 answer:
Answer:
Infinite many solutions. Any x-value can satisfy the equation.
Step-by-step explanation:
Let's work on simplifying the equation a little to investigate which x-values satisfy it. Start by combining like terms on the left side (6x +4x=10x),
then distribute the factor "10" into the binomial (x+10), obtaining 10x +30.
Now we have the same expression on the left and the right of the equal sign:
10x +30=10x+30. We may subtract 30 from both sides, and obtain 10x=10x, and at this point divide by 10 both sides, and we obtain: x=x
The process is shown below.
x=x is an equation that is verified by absolutely ANY x value on the number line, and there are infinite x-values in the number line.
Therefore there are infinite many solutions to this equation (any x-value will satisfy it).
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Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.
We need to determine the percentage of cacao in hot chocolate.
<u>The percentage of cacao:</u>
The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.
Total grams of hot chocolate = Grams of Milk + Grams of cacao
Total grams of hot chocolate = 480 + 20 = 500 grams.
Thus, the total grams of hot chocolate is 500 grams.
Now, we shall find the percentage of cacao.
The percentage of cacao is given by
Simplifying, the values, we get,
Thus, the percentage of cacao is 4%
Answer:
<h3> ( - 1 , - 1 )</h3>Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
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5x = - 5
Divide both sides of the equation by 5
Calculate
Again, Putting the value of x in equation ( ii ) in order t get the value of y
plug the value of x
Any expression multiplied by ( - 1 ) equals it's opposite
Calculate
Therefore, The possible solution of the system is the ordered pair ( x , y )
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Check if the given ordered pair is the solution of the system of equation
Simplify the equation
Since all the equalities are true, the ordered pair is the solution of the system.
<h3>( x , y ) = ( - 1 , - 1 )</h3>Hope this helps..
Best regards!!
Answer: 3 in.
Step-by-step explanation:
Given
The base of the triangle is
The area of the triangle is
Solve mixed fraction
Base is
Area is
The area of the triangle is given by
Insert the values to get the height