On Monday the high was 60 degrees Fahrenheit. On Tuesday, the high was 18% more. How much did the high increase from Monday to T
2 answers:
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We have the expression:
And we need to solve this for x.
Let's solve this expression and then see which of the options is the correct one.
The first step to solve this is that we need for the two sides of the equation to have the same base. (the number 5 on the left side is the base, so we need to also have a 5 as the base on the right side).
We do this by noting that:
We know that 25 is equal to 5 squared (because 5x5 is 25)
So the first step is to substitute 25 for 5 squared:
Since we have the same base on both sides (5), we follow the rule:
• If we have the same base on both sides of an equation, the exponents have to be equal
Thus, the second step to solve is to equal the exponents:
Finally, to solve this equation for x, we just need to add 1 to both sides to get rid of the -1 on the left side:
And the third step is:
As we can see, these three steps are represented in the third option In which we get the same result of x=3.
Answer: x=3
The distance flown by plane is 750 kilometers.
Step-by-step explanation:
Let,
Distance traveled by plane = x
Distance traveled by car = y
Total distance = x+y
According to given statement;
The distance by car was 125 kilometers less than the distance by plane.
y = x - 125 => x=y+125 Eqn 1
The total distance was 500 kilometers less than three times the distance traveled by car.
Total distance = 3y - 500
x+y=3y-500 Eqn 2
Putting value of x from Eqn 1;
Putting y=625 in Eqn 1
The distance flown by plane is 750 kilometers.
Keywords: linear equations, substitution method
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