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Verdich [7]
3 years ago
12

If you know the rate of a water leak in gallons per hour, how can you find the number of hours it takes for 1 gallon to leak out

? Justify your answer.
Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

If L is the rate per hour, then the time required to leak 1 gallon is (1/L) hr.

Step-by-step explanation:

Let the rate of leak be L gal/hr.  Dividing "1 gallon" by "L gal/hr" results in (1/L) hr.

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Simplify 25/26•13/15<br> HELPME
leva [86]
\frac{25}{26} * \frac{13}{15} =  \frac{25~*~13}{26~*~15} =  \frac{325}{390} = \frac{5}{6}
6 0
4 years ago
Read 2 more answers
2x + 5y = -5<br> x + 3y = 3<br><br> Find the solution to the system algebraically
Karolina [17]

Answer:

-2y=-5x=3

Step-by-step explanation:

Make sure every variable is on one side of the equation and you get the answer.

7 0
3 years ago
Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)?
Nikitich [7]

Answer:

Graph will open same way and is narrower.

Step-by-step explanation

If: f(x)= x^4

f(-2x)= (-2x)^4

Negative sign usually flips the graph and make it open to the opposite direction.  In this case since the function is to the 4th degree and the negative sign is included. The negative is basically ignored.

The term in front of x (a) determines how wide the graph opens. The bigger the a value the faster the slope increases so the narrower the graph opens.

Think if the slope is 4 vs 1/4.


Hope this helps


6 0
3 years ago
Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

#SPJ4

8 0
2 years ago
Which statements are true regarding quadrilateral ABCD? Check all that apply.
Leto [7]

Answer:

ABCD has four congruent angles.

Step-by-step explanation:

5 0
3 years ago
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