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Whitepunk [10]
3 years ago
7

Two neighbors, wilma and betty, each have a swimming pool. both wilma's and betty's pools hold 9900 gallons of water. if wilma's

garden hose fills at a rate of 900 gallons per hour while betty's garden hose fills at a rate of 500 gallons per hour, how much longer does it take betty to fill her pool than wilma?
Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0
To solve this problem we will start by calculating time needed for each of them to fill the pool.

We have formula:
Volume = rate * time
Or
time = volume / rate

Wilma:
time = 9900 / 900
time = 11h

Betty:
time = 9900 / 500
time = 19.8h

Now we substract these two numbers:
time_difference = 19.8 - 11 = 8.8h

Betty needs 8.8 hours more than Wilma to fill the pool.
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Solve the following inequality: 3x + 9 ≤7x -11.
m_a_m_a [10]

Answer:

x ≥ -3

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -4x - 12  =   -4 • (x + 3)

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  -4

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2      Subtract  3  from both sides

           x ≥ -3

Inequality Plot :

2.3      Inequality plot for

        -4.000 X  - 12.000  ≥  0

 

6 0
3 years ago
Read 2 more answers
You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T
velikii [3]

All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
  • The inverse function is: \mathbf{C'(x) = 0.01x - 400 }

From the question, we have the following observations:

  • Base fare = 50000 pesos for first 100
  • Additional guest = 100 pesos

So, the cost function would be:

\mathbf{C(x) = 50000 + (x - 100) \times 100}

Where: x represents the number of guests, and C(x) represents the cost function

Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

\mathbf{C(x) = 40000 + 100x}

To calculate the inverse function, we have:

\mathbf{C(x) = 40000 + 100x}

Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

Hence, the inverse function is: \mathbf{C'(x) = 0.01x - 400 }

Read more about functions and inverse at:

brainly.com/question/10300045

3 0
3 years ago
Help I would love to give you a thanks
WARRIOR [948]

Answer:

Formula

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the solutions of the inequality. Show your work.<br><br> 4b – 3 &gt; –1
Gwar [14]
So we have to find b we are going to try to isosiate b 
4b - 3 > -1 now we are going to isosiate the b so add 3 from both side and get 4b > 2
8 0
3 years ago
Find the product. Write your answer in scientific notation. (3 x 10^2)×(4×10^5) ​
suter [353]

Answer:

12 * 10 ^ 7

Step-by-step explanation:

3 * 10 ^ 2 * 4 * 10 ^5

= 12 * 10^ 2 + 5

= 12 * 10 ^ 7

Hope it will help :)

7 0
3 years ago
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