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storchak [24]
2 years ago
13

B=3x+9xy solv for x

Mathematics
2 answers:
IrinaVladis [17]2 years ago
8 0
The answer is  B = 12 x
Aliun [14]2 years ago
3 0

Answer:

x= \frac{B}{3(1 + 3y)}

or

x =  \frac{B}{(3 + 9y)}

Step-by-step explanation:

The given equation is B = 3x + 9xy

We have to solve for x.

B = 3x + 9xy

Let's factor the above equation.

B = 3x(1 + 3y)

We need to solve for x.

So, divide both sides by (1 + 3y), we get

\frac{B}{(1+ 3y)} = \frac{3x(1+3y)}{(1 +3y)}

\frac{B}{(1 + 3y)} = 3x

This can be written as

3x = \frac{B}{(1 + 3y)}

Now dividing both sides by 3, we get

x= \frac{B}{3(1 + 3y)}

or

x =  \frac{B}{(3 + 9y)}

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The table shows the gallons of water in a pool over time.
Luda [366]

Answer:

- 6 gallons per minute.

Step-by-step explanation:

Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is  

Q = a + bt ........... (1)

Now, Q(t = 0) is given to be 50 gallons.

So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).

Now, two points on the graph are (0,50) and (1,44).

So, the slope = b = \frac{50 - 44}{0 - 1} = - 6 gallons per minute.

Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)

4 0
2 years ago
Read 2 more answers
You paid $36.20 for a sweater that originally cost $90.50. What percentage of the original price was the sweater on sale for?You
marin [14]

Answer:

32.761 %

Step-by-step explanation:

Percentage is any fraction or ration expressed as a fraction of 100.

Percentage is calculated using formula

If A has to be expressed as percentage of then it can be expressed as

A/B * 100 in percentage form .

For given problem price paid for sweater = $36.20

original price of sweater = $90.50

Problem is to express percentage of price for which sweater was on sale for.

It can be mathematically  expressed as

what is 36.20% of 90.5

percentage of price for which sweater was on sale for = (price paid for sweater/original price of sweater  ) * 100

It can be mathematically  expressed as

what is 36.20% of 90.5

=>  ($36.20/$90.50 )* 100= 32.761.

32.761 % of the original price sweater was on sale for.

For better understanding ,It can also be said that that if the original price of sweater had been $100, then you would have got it at $32.761 .

4 0
2 years ago
Jeremy has a deck of cards numbered 1-12. He picks one card and then replaces it. Then he picks another card. What is the probab
LiRa [457]
The answer is 8.3 percent
5 0
2 years ago
Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =
Alik [6]
Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:

f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c.  Find c by letting x = 0 and using f(0)=8.

Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).

Then             -0      + 0      - 0 + c = 18, so c = 18 and 

f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.

Go through the same integration process to find f(x).
8 0
2 years ago
In the fifth grade at Lenape Elementary School, there are 4/5 as many students who do not wear glasses as those who do wear glas
vovikov84 [41]
Given:
4/5 as many students who do not wear glasses as those who wear glasses.
60 students wear glasses.

Find the total number of students in the grade.

60 * 4/5 = (60 * 4)/5 = 240 / 5 = 48 students who do not wear glasses.

60 w/ glasses + 48 w/o glasses = 108 total number of students.
6 0
2 years ago
Read 2 more answers
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