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Nataliya [291]
4 years ago
9

Express 6.83 as a mixed number

Mathematics
1 answer:
Grace [21]4 years ago
6 0
My answer -

6.83 = 6 + 0.83 = 6 83/100

P.S

Have an AWESOME!!! day :)
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Annika's class raised $800 by selling $5 and $10 movie gift cards. The class
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70 $5 movie gift cards and 45 $10 movie gift cards

Step-by-step explanation:

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3 years ago
Is 4.65 rounded to the nearest tenth 4.6 or 4.7?
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it is 4.7 because anything using 5 to round automatically bumps the number before up

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What is 2493483 x 23822
olganol [36]

Answer: 59,399,752,026

Step-by-step explanation: 2,493,483 · 23,822 =  59,399,752,026

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7 0
3 years ago
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A 15-ft ladder leans against a wall. The lower end of the ladder is being pulled away from the wall at the rate of 1.5 ft/sec. L
Aleks [24]

Answer:

The top of the ladder is sliding down at a rate of 2 feet per second.

Step-by-step explanation:

Refer the image for the diagram. Consider \Delta ABC as right angle triangle. Values of length of one side and hypotenuse is given. Value of another side is not known. So applying Pythagoras theorem,

\left ( AB \right )^{2}+\left ( BC \right )^{2}=\left ( AC \right )^{2}

From the given data, L=15\:ft=AC, y=9\:ft=AB and x=BC

Substituting the values,  

\therefore \left ( 9 \right )^{2}+\left ( x \right )^{2}=\left ( 15 \right )^{2}

\therefore 81+x^{2}=225

\therefore x^{2}=225-81

\therefore x^{2}=144

\therefore \sqrt{x^{2}}=\sqrt{144}

\therefore x=\pm 12

Since length can never be negative, so x= 12.

Now to calculate \dfrac{dy}{dt} again consider following equation,  

\left ( y \right )^{2}+\left ( x \right )^{2}=\left ( l \right )^{2}

Differentiate both sides of the equation with respect to t,  

\dfrac{d}{dt}\left(y^2+x^2\right)=\dfrac{d}{dt}\left(l^2\right)

Applying sum rule of derivative,

\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(l^2\right)

\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(225\right)

Applying power rule of derivative,  

2y\dfrac{dy}{dt}+2x\dfrac{dx}{dt}=0

Simplifying,  

y\dfrac{dy}{dt}+x\dfrac{dx}{dt}=0

Substituting the values,  

9\dfrac{dy}{dt}+12\times1.5=0

9\dfrac{dy}{dt}+18=0

Subtracting both sides by 18,

9\dfrac{dy}{dt}=-18

Dividing both sides by 9,

\dfrac{dy}{dt}= - 2

Here, negative indicates that the ladder is sliding in downward direction.  

\therefore \dfrac{dy}{dt}= 2\:\dfrac{ft}{sec}

7 0
3 years ago
LITERAL EQUATIONS: A literal equation is one consisting of all letters (or at least mostly letters). The Latin word literalis me
Crank

Answer:

D. b = r+z

Step-by-step explanation:

Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;

b-r+r = z+r

Since -r+r = 0, substitute:

b+0 = z+r

b = z+r

Hence the resulting equation when r is added to both sides of the equation is b = z+r

Hence option D is correct

6 0
3 years ago
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