1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Karolina [17]
3 years ago
10

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

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

The weight of the Alis dog is \fbox{\bf48} pounds.

Further explanation:

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

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

x=8y                                                                     ......(1)

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

x+y=54                                                                 ......(2)

From equation (1), substitute 8y for x in equation (2).

\begin{aligned}8y+y&=54\\9y&=54\\y&=\dfrac{54}{9}\\y&=6\end{aligned}

Thus, the weight of the cat is 6 pounds.

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

\begin{aligned}x&=8(6)\\&=48\end{aligned}

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)}  

brainly.com/question/1632445  

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  

brainly.com/question/1473992  

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

brainly.com/question/3412497  

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.

You might be interested in
HELP ME PLEASE!!!!50 POINTS!!!!! WILL GIVE BRAINLIEST!!!!
ale4655 [162]

Answer:

The second one down

Step-by-step explanation:

The 26 ft  ladder is the hypotenuse of the right triangle

24 feet is the vertical leg

3 0
2 years ago
Read 2 more answers
Use properties find the sum or product of 93+(68+7)
pochemuha
The answer would be 168 :)

5 0
3 years ago
Read 2 more answers
I don't even know what I'm soposto do
seropon [69]
Its A or C because Angle AEC has to be bigger then 90 degrees
3 0
3 years ago
Read 2 more answers
What is the distance between (-5,-5) and (-9,-2)
ollegr [7]

Answer:

use the distance Formula   D=sqrt of {(x1-x2)^2+(y1-y2)^2}

Step-by-step explanation:

So(-5--9)^2 + (-5- -2)^2 =

(4)^2 + (-3)^2 =

16 + 9 = 25

and the square root of 25 is 5.

5 is the answer

5 0
2 years ago
Please I'm really struggling as to how to answer this question
RSB [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • F(x)=4x-2, g(x)=-2x+1
    12·1 answer
  • 6z -2 =0 so wouldnt you take 6 from 2 which would make z=4
    9·2 answers
  • Please answer numbers 32 and 33! Please show work and explain your answer!
    6·1 answer
  • The total cost for four people to bowl one game is $21. Each person paid $1.50 to rent their shoes, in addition to the cost of t
    6·1 answer
  • 20% of a number is 30. What is 60% of the number?
    7·2 answers
  • 10 points!!! Please answer 8 and 9 and hurry
    6·2 answers
  • Find the side length of a cube with a volume of 804 m,
    9·1 answer
  • 15,500 for 7.5 years at 4.2% annual compound interest. Find the interest earned:
    11·2 answers
  • Is this a function ? explain your reasoning. <br><br> can someone help me pleasee !
    7·1 answer
  • A colony of 100 bacteria doubles in size every 60 hours. What will the population be 180 hours from now?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!