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lesya [120]
3 years ago
13

Two Containers have leaks. Container A begins with 80 ounces and leaks at a rate of 0.6 ounces per minute. Container B begins wi

th 100 ounces and leaks at a rate of 1 ounce per minute. How many minutes before the containers have the same amount of ounces?
​
Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

50 mins

Step-by-step explanation:

Set up the following equation:

80-0.6m=100-1m

1) Add 1m to both sides:

80+0.4m=100

2) Subtract 80 from both sides:

0.4m=20

3) Divide both sides by 0.4:

m=50

Let me know if you have any difficulty understanding how I set up the equation!

You might be interested in
What is the slope intercept form of 10x + 2y =8
antoniya [11.8K]

Slope intercept form is: y = mx + b


Isolate the y. First subtract 10x from both sides


10x (-10x) + 2y = 8 (-10x)


2y = -10x + 8


Isolate the y. Divide 2 from both sides and <em>all</em> terms.


(2y)/2 = (-10x + 8)/2


y = -5x + 4


y = -5x + 4 is your slope intercept form answer.



hope this helps

7 0
3 years ago
Please help me with this question!!!!!​
Naddika [18.5K]

Answer:

Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph y= \frac {2}{5} x - 3 is below

y = - \frac {5}{2} x + 2

Step-by-step explanation:

Slope of the equation  y= \frac{2}{5} x -3   is  m_1 = \frac{2}{5}

Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

m_2 = - \frac {1}{m_1}  = - \frac {5}{2}

Equation of line in point slope form is given as

y-y_1=m_2(x-x_1)

Here  (x1, y1) = (4, -8)

y+8 = - \frac{5}{2} (x-4)

Simplifying it further  

y = - \frac {5}{2} x + \frac {5}{2} 4 - 8

y = - \frac {5}{2} x + 2

6 0
3 years ago
What multiplies to negative 9 and adds to negative 3
natima [27]
4.8541019662497 + 1.8541019662497 = -3

<span>-4.8541019662497 x 1.8541019662497 = -9</span>
4 0
3 years ago
1. Regina. Phil and Joseph each wrote expressions to represent their hourly
aleksandrvk [35]

Answer:

15

Step-by-step explanation:

Regina: 6.5h

Phil: 3(2.5h+5)

When you plug in the number of hours, you get the weekly pay.  In order to get the same weekly pay, set the equations equal to each other.

6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.

6.5h=7.5h+15

-h=15

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

6 0
3 years ago
Hello! I need some help figuring out the following parts of trigonometry. Since this is a rather difficult math term to understa
Zina [86]
Alright so these ratios have many different forms but the way I use to remember the trigonometric ratios is:
SOH
CAH
TOA

This means:
Sine --> Opposite/Hypotenuse
Cosine --> Adjacent/Hypotenuse
Tangent --> Oppositie/Adjacent

With that in mind, number 1:
Would be Sine, or C.

Number 2 would be, Cosine, or E.

And number 3 would be Tangent, or B.

Hope that was helpful. 
4 0
3 years ago
Read 2 more answers
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