Alis dog weighs 8 times as much as her cat. together, the two pets weigh 54 pynds. how much does alis dog weigh?

The weight of the Alis dog is pounds.

Further explanation:

Consider the weight of the Alis dog as pounds and weight of the cat as pounds.

Since, the weight of the Alis dog is 8 times the weight of the cat. It can be written as follows:

                                                                    ......(1)

Now, the total weight of the cat and dog are given as 54 pounds. It can be written as follows:

                                                                ......(2)

From equation (1), substitute for in equation (2).

Thus, the weight of the cat is 6 pounds.

Substitute 6 for in equation (1) to obtain the weight of Alis dog as follows:

Thus, the weight of the Alis dog is 48 pounds.

Learn more:  

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

3. What are the domain and range of the function f(x) = 3x + 5?  

Answer Details :

Grade: Middle School .

Subject: Mathematics .

Chapter: linear equation.

Keywords:

lines, equation, pound, Alis dog, cat, weight, linear equation, zeros, x,y,x=8y,x+y=54, function, substitution, pets, direct substitution, elimination, graph, middle term factorization, fraction.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2