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Darya [45]
3 years ago
5

If 5/9 of a tank can be filled in 2 minutes how many minutes will it take to fill the whole tank

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

3 3/5 minutes

Step-by-step explanation:

Let one measure of volume be 5/9 of a tank, or (5/9)(tank).

We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.

Write and solve an equation of ratios:

 (5/9) (tank)        2 minutes

------------------- = ----------------

  (9/9) (tank)               x

Solve for x, which represents the number of minutes required to fill the whole tank:

(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3  3/5 minutes)

The whole tank will be filled in 3  3/5 minutes.

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Answer:

exact form is 56/37

decimal form is 1.513

mixed number form is 1 19/37

Step-by-step explanation:

8 0
3 years ago
What is the answer to 4|x-1|=12
STatiana [176]

Answer:

(4,0) and (- 2,0): Answer

Step-by-step explanation:

Absolute value questions have two essential steps.

1. Solve the equation as it is written.

2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer

4*abs(x - 1) = 12             Divide by 4

  • abs(x - 1) = 12/4            
  • abs(x - 1) = 3                  Equate this to 3
  • x - 1 = 3                          Add 1 to both sides
  • x - 1 + 1 = 3 + 1               Combine
  • x = 4

4*abs(x - 1) = - 12         Divide by 4

  • abs(x - 1) = - 12/4
  • abs(x - 1) = - 3
  • x - 1 = - 3                       Add 1 to both sides
  • x - 1 + 1 = -3 + 1
  • x = - 2

So this has 2 answers

(4,0) and (- 2,0)

5 0
3 years ago
A randomized study compared the effectiveness of two mosquito repellents. The treatment group using Spray A reported a mean of 3
BlackZzzverrR [31]

Answer:

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

Step-by-step explanation:

Given that:

The treatment group using Spray A reported a mean of 3.5 mosquito bites.

The treatment group using Spray B reported a mean of 5.6 mosquito bites.

After the data are  re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;

The best conclusion that can be make based on the data from the dot plot is :

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

5 0
3 years ago
How do you find the perimeter of a triangle?
Artist 52 [7]
To find the perimeter you need to add all 3 sides
4 0
3 years ago
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Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. I
NARA [144]

9514 1404 393

Answer:

  • $137.90 more each month
  • $246.00 less total interest

Step-by-step explanation:

The amortization formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

for the monthly payment on principal P at annual rate r for t years. Here, we have P=3300, r = 0.14, and t=1, so the monthly payment is ...

  A = $3300(0.14/12)/(1 -(1 +0.14/12)^-12) ≈ $296.30

The payment of $296.30 is ...

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The total amount paid is 12×$296.30 = $3555.60, so 255.60 in interest. This amount is ...

  $501.60 -255.60 = $246.00 . . . less total interest

3 0
3 years ago
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