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ZanzabumX [31]
3 years ago
9

A full bathtub drains at a constant rate. The amount of water im it changes by -4 1/2 gallons in 3/4 minute. What is the rate on

gallons per minute.
Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

-6 gal/min

Step-by-step explanation:

(-4 1/2 gal)/(3/4 min) =

= (-4.5 gal)/(0.75)

= -6 gal/min

Answer: -6 gal/min

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Write an equation in slope-intercept form that goes through (12, 4) and (20,8).
spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

Step-by-step explanation:

Given two points are:

(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)

Slope intercept form of line is given as:

y = mx+b

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

m = \frac{y_2-y_1}{x_2-x_1}

Putting the values

m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}

Putting the value of slope in slope-intercept form we get

y = \frac{1}{2}x+b

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2

Putting the value of b

y = \frac{1}{2}x-2

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

4 0
3 years ago
1 - (2n + 9) = 4(1-2)
Vikki [24]

Answer:

n=-2

Step-by-step explanation:

1−(2n+9)=4(1−2)

1+−1(2n+9)=4(1−2)

1+−1(2n)+(−1)(9)=4(1−2)

1+−2n+−9=4(1−2)

1+−2n+−9=−4

(−2n)+(1+−9)=−4

−2n+−8=−4

−2n−8=−4

−2n−8+8=−4+8

−2n=4

Divide both sides by -2

-2n/2=4/-2

n=-2

6 0
3 years ago
Read 2 more answers
Sorry another question!
Julli [10]

Answer:

you start counting from left to right

when you want to calculate the difference you have to choose two numbers that are next to each other and subtract second one from first one and because the different between every 2 numbers in order are the same numbers we call it a common difference.

Step-by-step explanation:

for example for 4 :

1. we can choose two numbers next to each other like 1 and 1.1

2. subtract second from first like 1.1 - 1 = 0.1

3. 1.1 + 0.1 = 1.2

1.2 + 0.1 = 1.3

and ...

so the common difference is 0.1

8 0
3 years ago
Find the least common denominator of<br> 7<br> and<br> X+4 x-4
Effectus [21]
(X+4)(X-4) is the LCD because you just have to look at the denominators and see what factors or values are not already part of your LCD.
5 0
2 years ago
Someone please help and thank you
WINSTONCH [101]

Answer:

answer is 51

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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