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mash [69]
3 years ago
14

Mia's mother gives her $10 per week for allowance Mia gets an additional $3 for every hour she spends watching

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0

Answer:

10+3t=25

Step-by-step explanation:

Cloud [144]3 years ago
4 0

Answer:

5 times

Step-by-step explanation:

$25 - $10 (fixed rate) = $15

$15 / $3 = 5 times.

Mia must watch her brother 5 times within the week to make the desired amount. Hope this helps :)

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If the sin 90° is 1, then the cos ____ °= _____.
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. Fiona has $1.20 with which to buy some ribbon.The ribbon is on sale for $0.08 per foot.How many feet of ribbon can Fiona buy
gogolik [260]

Respuesta: 4.5 pies que puede comprar si tiene $ 11.25

Explicación paso a paso:

Dado que hemos dado que

Costo de los dulces por pie = $ 2.50

Dinero total que gastó en dulces = $ 11.25

Sea x el número de pies que puede comprar

Ahora, según la pregunta, obtenemos eso,

Entonces, 4.5 pies que puede comprar si tiene $ 11.25.

8 0
3 years ago
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
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