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Tresset [83]
3 years ago
9

A leaking pond loses 20 gallons of water in 35 hours. How many gallons of water will it lose in 47 hours?

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
20/35 gallons per hour
(20/35) * 47 = around 27 gallons in 47 hours
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Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
sergiy2304 [10]

Answer:

Jenny is wrong the correct answer is x²+ 4 - 4 x.

Step-by-step explanation:

Given that

(x-2)³∕x-2

(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)

(x-2)³∕(x-2) = (x-2)²

As we know that

(a-b)² = a²+b² - 2 ab

So

(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x =  x²+ 4 - 4 x

(x-2)² =  x²+ 4 - 4 x

It means that

(x-2)³∕(x-2) = (x-2)² =  x²+ 4 - 4 x

So Jenny is wrong the correct answer is x²+ 4 - 4 x.

8 0
3 years ago
Please answer! this is an important exam that im taking right now.
Scorpion4ik [409]

Answer:

Required ordered pair is (0,0) for system of equation

Step-by-step explanation:

The given system of equation is

A). 9^{12x} = 9^{3y}

B). y^{4} - 9y^{2} x^{2} =16y

On simplifying the equation A

9^{12x} = 9^{3y}

Take log on both side,

(12x) (log9) = (3y) (log9)

4x=y

To find the solution of the system of the equation :

Replacing value of y=4x in equation B,

y^{4} - 9y^{2} x^{2} =16y

(4x)^{4} - 9(4x)^{2} x^{2} =16(4x)

256x^{4} - 144x^{2} x^{2} =64x

256x^{4} - 144x^{4}=64x

112x^{4}=64x

We get,

x=0 and x=0.829

Since, 0.829 is not integer number

Only solution of equations is x=0

For the value of y

Replace value x in y=4x=0

Thus, Required ordered pair is (0,0)

8 0
4 years ago
The drama club is selling tickets to its play. An adult ticket costs $15 and a student ticket costs $11. The auditorium will sea
spin [16.1K]

Answer:

83 adult tickets and 217 student tickets.

Step-by-step explanation:

Let number of adult tickets sold = x

Given that total number of tickets = 300

So, number of student tickets = 300 - x

Cost of adult ticket = $15

Cost of student ticket = $11

Total collection from adult tickets = $15x

Total collection from student tickets =  (300-x)\times 11 = 3300-11x

Given that overall collection = $3630

15x+(3300-11x) = 3630\\\Rightarrow 15x-11x=3630-3300\\\Rightarrow 4x = 330\\\Rightarrow   x = 82.5

So, for atleast $3630 collection, there should be 83 adult tickets and (300-83 = 217 student tickets.

Now , collection = $3632

4 0
3 years ago
During second period, Bonnie completed a grammar worksheet. She got 18 out of 20 questions correct. What percentage did Bonnie g
sp2606 [1]

Answer:

90% correct

Step-by-step explanation:

You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!

8 0
2 years ago
What is four plus four
WITCHER [35]

Answer:

8

Step-by-step explanation:

<u>Step 1:  Convert into expression</u>

Four plus four

<em>4 + 4</em>

<em />

<u>Step 2:  Combine </u>

4 + 4

<em>8</em>

<em />

Answer:  8

6 0
3 years ago
Read 2 more answers
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