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agasfer [191]
3 years ago
12

If the shelter has 5 times as many cars as dogs if the shelter has a total of the 18 Dogs and cats how many dogs does the shelte

r have
Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

No. of dogs = 15

Step-by-step explanation:

Let the number of cats be x and the number of dogs be y. The shelter has 5 times as many cats as dogs.

It means, y = 5x ...(1)

Total no of cats and dogs are 18. So,

x+y = 18 ...(1)

Put equation (1) in (2),

x+5x = 18

6x=18

x = 3

No. of cats = 3

Put the value of x in equation (1).

y = 5(3)

y = 15

Hence, there are 15 dogs in the shelter.

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A car salesman receives a base weekly salary of $150 plus a commission of $325 per car sold. What is the equation that models th
Temka [501]

Given :

Weekly salary , S = $150.

Commission per car , C = $325.

To Find :

The the equation that models the weekly salary of a car salesman.

Solution :

We know it is a quadratic equation :

Let , the equation is , y = mx + c

Here, x is number of car sold in a week.

For  x = 0 ( He will not get commission)

So , Salary is $150 = c .

For x = 1

Salary is $( 150 + 325 ) = $475 = m(1) + c

Therefore , m = $325 and c = $150.

Required linear equation is y = 325x + 150.

Hence, this is the required solution.

5 0
2 years ago
Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15
tatuchka [14]

Answer:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

  • a column for the values of x in each equation
  • a column for the values of y in each equation
  • a column for the independent values of each equation

since our system of equations is:

3x-5y=12\\ 4x-2y=15

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]

usually there is a line separating the columns for the values of x and y, and the independent values:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

this is the matrix of the system of equations

6 0
3 years ago
Explain why 13233345364715 is a composite no.​
rodikova [14]

Answer:

A composite number has more than two factors.  In this case, the number 13233345364715 has more than two factors, so it is composite.  

Step-by-step explanation:

Numbers can be classified as prime or composite.  Prime numbers have only two factors, 1 and the number itself.  For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13.  However, a composite number has more than two factors.  In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5.  To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.  

6 0
2 years ago
Find the slope of the line that passes through two points (-6,2) (-4, -8).
Ksenya-84 [330]

Answer:

the answer is m=-5

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps :)

5 0
2 years ago
Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π
schepotkina [342]

Answer:

Answer = 3053.63

Step-by-step explanation:

The formula for finding the volume of a sphere is : V = 4/3 πr³

V = 4/3· π · 9^{3}

≈ 3053. 62806

Rounded to the hundreths place is 3053.63.

8 0
2 years ago
Read 2 more answers
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