Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;
by cross multiply we get;
using distributive property;
Subtract 42.56x from both sides we get;
Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
x < -16, none of the solution sets are correct for the given equation.
Step-by-step explanation:
-1/4x > 4, multiply both sides by -4, don't forget when you multiply or divide by a negative you have to flip the sign.
x < -16
none of the solution sets are correct for the given equation.
Answer:
Kelly has read more of the book
Answer:
I assume that the function is:
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
then:
Now we can graph this, to get the graph you can see below:
Answer:
Lisa is 5 years old
Step-by-step explanation:
we can make an equation like
4x=15+x
X can represent Lisa’s current age
Now just solve for X
3x=15
x=5
And we can check
If Lisa is 5 years old now
In 15 years she would be 20
And 20 is 4 times as 5 which Is her current age
So Lisa is 5 years old now.
