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Liula [17]
2 years ago
5

A cistern can be completely drained by a pipe in 6 hours. It can be filled by two pipes in 4 hours and 5 hours, respectively. Ho

w many hours will the empty cistern take to fill if all the pipes are running?
If x is the time to fill it, which of the following equations could be used to solve for t?

4x + 5x - 6x = 1
15x + 12x - 10x = 60
4x + 5x = 20
Mathematics
1 answer:
boyakko [2]2 years ago
6 0
X/4 +x/5 -x/6=1
make the denominator the same: 
15x/60 +12x/60 -10x/60=1
17x=60
x=60/17=3.53 hours

the second choice is the correct answer.
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Sam is packing gift boxes with fruit. For each apple he packs 3 plums and 5 oranges. If he puts 3 apples in a box, how many plum
Musya8 [376]
You can make an equation.

Let x=oranges
p=plums
n=apples

n= 3p + 5x

So basically we know 1 Apple means Sam will pack 3 plums and 5 oranges

To get 3n which means 3 apples we have to multiply the whole equation by 3


(n= 3p + 5x) x3


3n=9p+15x

So Sam will also put 9 plums and 15 oranges if he puts 3 apples in the box
7 0
2 years ago
Read 2 more answers
Hariette would like to review the income and expenses that were actually paid last month so she can determine how much to set as
Brrunno [24]

Answer:

Hybrid basis

Step-by-step explanation:

There are different methods of accounting used by businesses depending on their peculiar needs. Below are the type of accounting methods:

- Cash basis is when revenues and expenses are recognised when cash is recieved or paid out.

-Accrual basis is when revenue and expenses are recognised when they are earned. For example if services are rendered to a client that will pay in a week's time, since service has already been given it is considered that the future payment has been earned.

- Modified basis combines elements of cash and accrual basis. For example considering short term assets like accounts receivable and accounts payable as cash items. Long term assets are recorded on accrual basis.

- Hybrid basis is used when cash and accrual methods are used for various expenses and tax. Mostly it is used for internal accounting purposes.

In this scenario Hariette would like to review the income and expenses that were actually paid last month. This requires a cash basis that shows actual amount recieved and paid last month. Account receivable and payable are not considered.

In setting aside money for tax she will employ accrual basis accounting. It is an expense that is estimated for future use.

So the hybrid basis is the method that will be most suitable.

5 0
2 years ago
If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
Fudgin [204]

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t  as shownl

v = 275/5

v = 55 mph

<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>

3 0
2 years ago
Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo
GrogVix [38]

$250 c+ $ 180 g > $ 950

<u>Step-by-step explanation:</u>

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0
2 years ago
Carys is checking her tax bill for the last year.
mariarad [96]
£18240

since the amount she earned falls within the range of the tax rate 40%, multiply her earnings by 0.4.

£45600*0.4= 18240
3 0
2 years ago
Read 2 more answers
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