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marshall27 [118]
3 years ago
15

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it

in 10 hours. how long will it take to fill the vat if both pipes are left open? (in hours)
Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

15 hours

Step-by-step explanation:

1vat/6hours - 1vat/10hours = 1vat/xhours

1/6 - 1/10 = 1/x

Use common denominator of 30

5/30 - 3/30 = 1/x

2/30 = 1/x

1/15 = 1/x

Cross multiply

x = 15 hours

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densk [106]
<span><span>1.       </span><span>Find how many liters of gasoline to fill 13.2 gallon tank.
based on the metric conversion, there are 3.79 liters of liquid in every 1 liquid gallon.
Now, since we have 13.2 gallon tank, we need to multiply it with the given unit of conversion
=> 1 gallon = 3.79 liters
=> 13.2 gallon x 3.79 liters
=> 13.2 x 3.79
</span>=> 50.028, therefore it needs around 50.028 liters of gasoline to be able to fill the 13.2 gallon tank</span>



5 0
3 years ago
Find The missing length
Reil [10]
C is the hypotenuse of a right triangle whose leg lengths are 7 and 9.  Thus, 

c^2 = 7^2 + 9^2 = 49 + 81 = 130.

Then c = sqrt(130) (answer)
7 0
3 years ago
Which of the following values are in the range of the function graphed below?
zubka84 [21]

The values in the range of the function graphed below are; Option D. 1 and Option E. 1/2

<h3>What is domain and range of a function?</h3>

The domain is the set of values for which the given function is defined.

The range is the set of all values which the given function can output.

we know that

The domain is the interval ----> [-1,1]

-1 ≤ x ≤ 1

The domain is all real numbers greater than or equal to -1 and less than or equal to 1

The range is the interval ----> [0,1]

0 ≤ y ≤ 1

The range is all real numbers greater than or equal to 0 and less than or equal to 1

Hence, The values that are in the range are 1 and 1/2

Learn more about appropriate domain here:

brainly.com/question/20073127

#SPJ1

5 0
2 years ago
Final solution to the system of equations given below <br>x=-4 <br>5x+4y=-10​
STatiana [176]

Answer:

(-4, 5/2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

x = -4

5x + 4y = -10

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                5(-4) + 4y = -10
  2. Multiply:                                                                                                           -20 + 4y = -10
  3. [Addition Property of Equality] Add 20 on both sides:                               4y = 10
  4. [Division Property of Equality] Divide 4 on both sides:                                 y = 10/4
  5. Simplify:                                                                                                             y = 5/2
8 0
3 years ago
Kevin has an equal number of dimes, nickel and quarters in his piggy bank. He randomly picks a coin, replaces it, and picks anot
san4es73 [151]

Say he has 2 dimes (D), 2 nickels (N), and 2 quarters (Q). There are 3 * 3 = 9 choices for what he can pull out. How many will give at least 30 cents?

Q and N, N and Q, Q and D, D and Q

That's 4 out of 9. So, the probability is 4/9.

3 0
3 years ago
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