Answer:
3
Step-by-step explanation:
this equation is written in the form of
y = mx + b
where m = slope
so the slope is 3
-2 x=10
-2 x/-2=10/-2
x=-5
Or
Answer:
Step-by-step explanation:
We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.
To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:
What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:
This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:
And we find ourselves on the same conclusion.
Have a wonderful day :D
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:
x + y = 42 (1)
Also:
0.45x + 0.69y = 42(0.66) (2)
This gives:
x = 5.25, y = 36.75
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
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