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.

8 apples are left.

step-by-step explanation:

10-2=8

10 apples

take 2

now u have 8

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.