Answer:
Step-by-step explanation:
4 quarts=1 gallon
1 quart=1/4 gallon
6 quarts 1/4×6=6/4 gallons=3/2 gallons =1 1/2 gallons
or we can say 4 quarts=1 gallon
2 quarts=1/2 gallon
(4+2=6)quarts=(1+1/2)=1 1/2 gallon.
Answer: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the constant of proportionality.
In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.
With this information you can write the following equation:

According to the exercise, the constant of proportionality is:

Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:

Answer:
4x-12 or 4(x-3)
Step-by-step explanation:
9x+9+2x-7(3+x)
9x+2x+9-21-7x
11x-12-7x
11x-7x-12
4x-12
So the base is 72 area squared. You multiply 72 by the height, which is 9, giving you 648 area cubed.
Hope this helped!
<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation
is zero
<u>Solution:</u>
For a Quadratic Equation of form :
---- eqn 1
The solution is
Now , the given Quadratic Equation is
---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In
,
is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation

Since -3 is less than 0, this means that there are 0 real solutions in this equation.