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balandron [24]
3 years ago
15

The Rock has an 88-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 6 gallons per minute. Show all

work. Complete sentence for each question.
first part: Assuming the tank was full, write a function in the form y=mx + b that represents the amount of water in the tank, Y, after X minutes. You will need to know the initial value and the rate of change.

second part: How long has the tank been draining for if it has 34 gallons left?
Mathematics
1 answer:
bixtya [17]3 years ago
4 0

Answer:9 minutes

Step-by-step explanation:

1. to find how much was drained subtract how much is left from the total amount when full  88-34= 54

2. divide answer by the rate per minute  54/6

3. you have answer 9 minutes

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PLEASE HELP ME <br>Multiply the monomials: <br><br>a2x5b, −0.6axb2 and 0.6a2b3
Tanzania [10]

Answer:

-0.36 a^{5}b^{6} x^{6}

Step-by-step explanation:

Given:

a^2x^5b,,\ -0.6axb^2,\ and\ 0.6a^2b^3

Required

Multiply

The above can be written as

a^2x^5b * -0.6axb^2\ * \ 0.6a^2b^3

Split the above expression

a^2*x^5*b * -0.6*a*x*b^2\ * \ 0.6*a^2*b^3

Collect like terms

-0.6 * 0.6 * a^2*a*a^2*b *b^2 *b^3*x^5*x

Apply first law on indices

-0.36  * a^{2+1+2} *b^{1+2+3} *x^{5+1}

-0.36  * a^{5} *b^{6} *x^{6}

-0.36 a^{5}b^{6} x^{6}

Hence, a^2x^5b * -0.6axb^2\ * \ 0.6a^2b^3 is equivalent to -0.36 a^{5}b^{6} x^{6}

8 0
3 years ago
Find the solution to the system of equations 2x+3y+z=20 3y+5z=12 y-5z=4
podryga [215]

Answer:

x =4 ,y =4 and z =0 is the solution.

Step-by-step explanation:

We shall solve the equations using elimination  method

In equation 2 and 3 we can see that  coefficient of z in both equations  are same with opposite sides , adding equations (2) and (3)

3y+5z = 12

y -5z = 4     adding the equations

___________

4y      = 16

dividing both sides by 4

  y =\frac{16}{4}

 y = 4

Plugging the value of y in equation 2 or equation 3 ,we get

3(4) +5z = 12

12+5z = 12

  5z = 12-12 or 5z =0 gives z =0

plugging y =4 and z =0 in equation 1

2x+3(4)+ 0 = 20

2x+12 = 20

2x =20-12

2x = 8

x = 8 divided by 2 gives

x =4

therefore solution of the system is given by

x=4 , y =4 and z =0

3 0
4 years ago
Read 2 more answers
The square of a number equals nime times that number.find the number
melomori [17]

Answer:

9

Step-by-step explanation:

9^2 is equal to 9x9 the ^2 square means multiply by itself

good luck:)

3 0
4 years ago
Find the midsegment of triangle ABC so that it is parallel to side BC and label it as segment EG on the graph coordinate of E: _
Sholpan [36]

Answer:

Coordinate of E: (-2,3) Coordinate of G: (2.5, 1.5)

Step-by-step explanation:

You first have to find the midpoints of AC and AB.

AC X coordinate:

X1+X2/2

Substitute the x points of AC in

1+(-5)/2=-2

AC Y coordinate:

Y1+Y2/2=3

Substitute the y points of AC in

5+1/2=3

You do the same thing with the AB line. I am pretty sure this works and I hope this helps!




5 0
3 years ago
Determine type of triangle PLZZ ASAP
g100num [7]

Answer:

scalene right

Step-by-step explanation:

no side congruent and right

8 0
3 years ago
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