How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

One solution

Step-by-step explanation:

Notice that the variable is not raised to any exponent, so the degree of the variable is 1. An equation with a variable of degree 1 will have only one solution, no solution or infinite solutions. Let's check which one is the case for our equation.

Let's fin the solution step-by-step:

Step 1. Destroy parenthesis

Step 2. Simplify the right hand side

Step 3. Subtract 0.7x from both sides of the equation

Step 4. Subtract 30 from both sides of the equation

Step 5. Divide both sides of the equation by 0.05

We can conclude that the equation only has one solution and the solution is -320.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

18.75 gallons

step-by-step explanation: