10$ is spent on 2 big pails and 1 small one. A smail pail cosf half as much as each big one. How much is spent on a big pail? How much is speant on a small pail

Answers

Answer 1
Answer:

Answer:

$4 is spent on a big pail and $2 is spent on a small pail.

Step-by-step explanation:

Given:

10$ is spent on 2 big pails and 1 small one.

A small pail cost half as much as each big one.

Now, to find the amount spent on a big pail and on a small pail.

Let the cost of a big pail bex.

And the cost of small pail be(x)/(2) .

As given, there are 2 big pails.

And the total money spent = $10.

According to question:

(x+x)+(x)/(2)=10

2x +(x)/(2)=10

(4x+x)/(2) =10

(5x)/(2) =10

Multiplying both sides by 2 we get:

5x=20

Dividing both sides by 5 we get:

x=4.

The cost of a big pail = $4.

So, the cost of a small pail = (x)/(2) =(4)/(2)=\$2.

Therefore, $4 is spent on a big pail and $2 is spent on a small pail.


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Answers

Simple....

using the formula ( y_(1)- y_(2) )/( x_(1)- x_(2) ) to find slope....

1.)  (9,2)(4,3)

(2-3)/(9-4)= -(1)/(5) (No)

2.)  (9,2)(3,4)

(2-4)/(9-3) = -(2)/(6) =- (1)/(3) (No)

3.)  (2,9)(3,4)

(9-4)/(2-3) = (5)/(-1) =-5 (No)

4.)  (2,9)(4,3)

(9-3)/(2-4) = (6)/(-2) =-3 (YES!)

Thus, your answer.

the student council is organizing a trip to a rock concert. all proceeds from ticket sales will be donated to a charity. tickets to the concert cost $31.25 per person if a minimum of 104 people attend. for every 8 extra people that attend, the price will decrease by $1.25 per person.a). how many tickets need to be sold to maximize the donation to charity?b). what is the price of each ticket that maximizes the donation?c). what is the maximum donation?

Answers

I got the maximum donation $152

Final answer:

To maximize the donation to charity, a total of 117 tickets need to be sold. The price per ticket that maximizes the donation is $29.0625. The maximum donation is $3,400.3125.

Explanation:

To maximize the donation to charity, we need to determine the number of tickets that need to be sold and the price per ticket that will result in the maximum donation.

a) To find the number of tickets, we can start with the minimum attendance requirement of 104 people. For every 8 extra people that attend, the price decreases by $1.25. So the number of extra people is calculated by dividing the total increase in price ($31.25 - $30) by the decrease per person ($1.25), which is 8. Therefore, the number of extra people is 13. To find the total number of tickets, we add the minimum attendance of 104 people and the number of extra people of 13. So the total number of tickets that need to be sold to maximize the donation to charity is 117.

b) To find the price per ticket, we start with the price of $31.25 and take into account the decrease of $1.25 for every 8 extra people. We can calculate the price decrease per person by dividing $1.25 by 8, which is $0.15625. To find the price per ticket, we subtract the decrease per person from the initial price, multiplied by the number of extra people. So the price per ticket that maximizes the donation is $31.25 - ($0.15625 × 13) = $29.0625.

c) To find the maximum donation, we multiply the price per ticket by the total number of tickets sold. So the maximum donation is $29.0625 × 117 = $3,400.3125.

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4x + y =1
x + 2y = 9

Answers

Answer:

x=-1 y=5

Step-by-step explanation:

A. 4x+y=1 multiply the equation negative 2

B. x+2y=9

-8x-2y=-2 add this to equation b

x+2y=9

-7x=7 divide both sides by -7

x=-1

now substitute x for -1 in either of the original equations

-4+y=1 add 4 to both sides

y=5

-4+5=1

-1+10=9

Plz plz, answer it hurry.

Answers

Answer:

c

Step-by-step explanation:

Answer:

I think it's b.

Step-by-step explanation:

Let's just say that in the first square, all sides equal 4. In this square, if you cut out a piece the perimeter will stay the same. Let's check:

First square: 4+4+4+4=16

Second square: 3+4+4+2+1+2=16

So yes, it's b.

A group of friends are hiking on trail Y when they reach an intersection with trail X. Trail X is perpendicular to trail Y. If trail Y has a slope of - which of the following statements are true?A.Trail X is steeper than trail Y. 
B.Trail X has a positive slope (it runs uphill). 
C.Trail X has a negative slope (it runs downhill). 
D.Trail Y is steeper than trail X.

Answers

So because trail Y has a negative slope, and X is perpendicular to Y the X has a positive slope. \ <---- neg slope y and / <----- pos slope x

An automobile factory is assembling cars and they need to have all of the parts in stock at the assembly line. Each car needs four tires and a spare tire for the trunk. If they produce c cars per day, what formula shows how to calculate the number of tires, t, needed?

Answers


t = 5c

Each car needs 5 tires (4 on it and 1 spare, which add up to five). So for every one car they make they need 5 tires. Two cars would need 10 tires, 3 would need 15 tires, etc, so the number of tires can be found by multiplying the number of cars by 5. Putting this into equation form, you'd get t = 5c

Final answer:

The formula to calculate the number of tires needed in an automobile factory is t = (4c) + c, where t represents the number of tires needed and c represents the number of cars produced per day.

Explanation:

The formula to calculate the number of tires needed in an automobile factory is given by:



t = (4c) + c



Where t represents the number of tires needed and c represents the number of cars produced per day.



For example, if the factory produces 100 cars per day, we can substitute c = 100 into the formula to find that t = (4 * 100) + 100 = 500 + 100 = 600. Therefore, the factory would need 600 tires per day.

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