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spayn [35]
2 years ago
15

When you own a pet, there are one-time costs, such as a leash, and continuing costs, such as food. Suppose the one-time costs fo

r owning a small dog are $180, and the continuing costs are $400 per year Which function models the average annual cost of owning a small dog for x years?
Mathematics
2 answers:
Natalka [10]2 years ago
6 0

Answer:

Average cost per year = 400 + 180/x

Step-by-step explanation:

Using the formula y=mx+b

We know that b is the y intercept or  initial value.  That would be the start up costs

m is the slope on costs each time x increases, that would be 400 per year

Costs = 400x + 180

To find the average cost per year, we need to divide by x

Average cost per year = (400x + 180)/x

                        = 400 + 180/x

Komok [63]2 years ago
3 0

Answer:

answer to this question is f(x)  = (180 + 400x)/x

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A student solved the problem below by first dividing 20 by 10. What mistake did the student make? A baseball team has won 20 gam
andreev551 [17]

Answer:


Step-by-step explanation: The student divided the number of wins by the number of losses.

The student should have divided the number of wins by the total number of games.

The student should have first added 20 and 10 to find that there were a total of 30 games.



8 0
2 years ago
Read 2 more answers
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
2 years ago
Divide 4p2 + 6 by 2p – 2. Which statements are true about the division? Select three options. The divisor is 2p – 2. The dividen
Dahasolnce [82]

Answer:

The answer to your question is below

Step-by-step explanation:

1.

                                           2p    +  2                       ⇒  Quotient

Divisor    ⇒     2p - 2        4p²   +   0p  +  6            ⇒ Divident

                                        -4p²    +   4p

                                           0      +  4p  + 6

                                                   -  4p   + 4

                                                        0   + 10             ⇒ Remainder

2. The dividend is 4p2 + 0p + 6.

The quotient is 2p + 2 + .

The remainder over the divisor is     10 / (2p - 2)  .

To check the answer, multiply 2p + 2 + times 4p2 + 0p + 6 and verify that it equals the divisor.

                  (2p - 2)(2p + 2) = 4p⁴ + 4p - 4p - 4

                                           = 4p⁴ - 4 + 10

                                          = 4p⁴ + 10

5 0
2 years ago
Suppose you used a computer to find out if 1147 was a prime number. Which numbers would you tell the computer to divide by?
monitta

Answer:

all prime numbers less than its square root.

Step-by-step explanation:

6 0
2 years ago
Gina made 9{,}350 \text{ mL}9,350 mL9, comma, 350, start text, space, m, L, end text of chicken noodle soup. She packed 1.8 \tex
Sidana [21]

Answer:

Frozen\ Soup = 7550mL

Step-by-step explanation:

Given

Soup = 9,350mL

Packed = 1.8L

Required

Determine the frozen soup

This is calculated as thus:

Frozen\ Soup = 9,350mL - 1.8L

Convert 1.8L to mL

Frozen\ Soup = 9,350mL - 1.8 * 1000mL

Frozen\ Soup = 9,350mL - 1,800mL

Frozen\ Soup = 7550mL

7 0
2 years ago
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