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Harrizon [31]
3 years ago
12

Each person in ellens family drinks 8 1/3 ounces of water. If 5 people are in ellen's family. how many ounces of water do they d

rink altogether.
please help answer this qustion it's a test.
Mathematics
1 answer:
Svetach [21]3 years ago
5 0

Answer:

41 2/3 oz of water

Step-by-step explanation:

All you have to do is multiply 8 1/3 by 5.

First, lets convert 8 1/3 into an improper fraction (a fraction where the numerator is greater than the denominator):

8 1/3 = 25/3

now, we can multiply 25/3 by 5 and get 125/3, which simplifies to 41 2/3

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Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

5 0
2 years ago
Solve for x.<br><br><br><br> Enter your answer in the box.
rewona [7]

Answer:

x=61

Step-by-step explanation:

A 5 sided shape always has 540 degrees in angles in total. So, 540-90-107-144-138. Do this, and it gets you 61 degrees. Therefore x = 61 degrees

6 0
2 years ago
Mark ran 875 miles this year in the track club.Mark ran in 52 track meets and ran the same number of miles in each.How many mile
shepuryov [24]

Answer:

The number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

Step-by-step explanation:

Let us assume that the number of miles Mark run in each track meet be x.

As given

Mark ran 875 miles this year in the track club.

Mark ran in 52 track meets and ran the same number of miles in each.

Than the equation becomes

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x = \frac{875}{52}

x = 16 \frac{43}{52}\ miles

Therefore the number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

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3 years ago
A train takes 1.5 hours to travel 525 km. Calculate the speed of the train in kilometers per hour.
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Answer:

1.5 hours to 525 km

Speed in km/h=

525 \div 1.5 = 350 \: kmph

Step-by-step explanation:

XD

8 0
3 years ago
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