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2 years ago

A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do

Mathematics

1 answer:

Effectus [21]2 years ago

6 0

Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do

not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket

that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5

each, how much should the shelter expect to earn for each ticket sold?

Round to the nearest cent, as needed.

sorry if it appears messy!!!

Step-by-step explanation:

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Hats and mittens are on sale at the store! One woman was able to buy 5 hats and 4 pairs of mittens for $30.

aalyn [17]

The price of one hat is $2 and one pair of mittens is $5

Step-by-step explanation:

Hats and mittens are on sale at the store!

One woman was able to buy 5 hats and 4 pairs of mittens for $30
Another woman purchased 3 pairs of mittens and 2 hats for $19
The price of one hat is x
The price of one pair of mittens is y

We need to find x and y

∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30

∵ The price of one hat is x

∵ The price of one pair of mittens is y

- Multiply 5 hats by x and 4 pairs of mittens by y and equate

their sum by 30

∴ 5x + 4y = 30 ⇒ (1)

∵ Another woman purchased 3 pairs of mittens and 2 hats for $19

- Multiply 2 hats by x and 3 pairs of mittens by y and equate

their sum by 19

∴ 2x + 3y = 19 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 and equation (2) by 5 to eliminate x

∵ -10x - 8y = -60 ⇒ (3)

∵ 10x + 15y = 95 ⇒ (4)

- Add equations (3) and (4)

∴ 7y = 35

- Divide both sides by 7

∴ y = 5

Substitute the value of y in equation (1) or (2) to find x

∵ 2x + 3(5) = 19

∴ 2x + 15 = 19

- Subtract 15 from both sides

∴ 2x = 4

- Divide both sides by 2

∴ x = 2

The price of one hat is $2 and one pair of mittens is $5

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

8 0

3 years ago

How do you solve: f(x) = -x2e-x<br> +2xe-x , finding the zero's of f.

Maksim231197 [3]

Answer:

0 and 2

Step-by-step explanation:

$f(x) = -x^2e^{-x}+2xe^{-x}$

To find zeros set f(x)=0 and solve for x

$0 = -x^2e^{-x}+2xe^{-x}$

$0 = -e^{-x}(x^2-2x)$

now factor out x

$0 = -xe^{-x}(x-2)$

set each factor =0 and solve for x

$x=0$

$-e^{-x}=0$ no solution for x

$x-2=0, x=2$

zeros of f are 0 and 2

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3 years ago

Which is the perimeter of the triangle below?<br>13/24 foot<br>22/24 foot<br>28/24 foot

tensa zangetsu [6.8K]

Answer:

c. 22/24

Step-by-step explanation:

perimeter = 3/8 + 3/8 + 1/6

perimeter = 22/24 or 11/12

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2 years ago

Carmen is at a used bookstore. Paperback books cost $ 1 each, and hardcover books cost $ 2 each. Carmen can spend up to $ 10 in

Alecsey [184]

X+2y < (or equal to) 10

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2 years ago

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(19 POINTS QUESTION, HELP PLEASE) A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag

juin [17]

Answer:

B. 0.4

Step-by-step explanation:

5 + 4 + 3 = 12 balls

5 blue / 12 balls = 0.4

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2 years ago

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