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3 years ago

13

zoe watched 6 episodes of her favorite online video series in 1.5 hours . She spent the same time watching each episode . What i

s the unit rate of hours to episodes?

1 answer:

Monica [59]3 years ago

4 0

Answer:

15 min

Step-by-step explanation:

6 episodes in 1.5 hrs.

1 episode in 1.5/6 hr.

i.e. 1.5*60/6 min

=15 min

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1. If Jeremy found 80% of the collector cards and Tim found 41 of the 45 cards,

baherus [9]

Answer:

Tim has more

Step-by-step explanation:

41/45 when you type it into a calculator is 91% and 91%>80%

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2 years ago

Какая фигура имеет ось симметрии и центр симетрий

Zigmanuir [339]

Answer:

Проведите линию через форму, чтобы каждая сторона была зеркальным отражением. Когда фигура складывается пополам по оси симметрии, две половинки совпадают. На этой фотографии белая линия по центру представляет собой вертикальную ось симметрии.

Step-by-step explanation:

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2 years ago

For which situation is the use of exact numbers most appropriate? A) buying gravel to cover a driveway B) ordering cupcakes for

tiny-mole [99]

C) Ordering Corn dogs to sell in the concession stand at a football game.

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3 years ago

A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.

Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

$\Rightarrow z=\frac{19652}{xy}$ ......(2)

putting the value of z in the equation (1)

$f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})$

$\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}$

The partial derivatives are

$f_x=y-\frac{39304}{x^2}$

$f_y=x-\frac{39304}{y^2}$

To find the dimension of the box set the partial derivatives $f_x=0$ and $f_y=0$ .Therefore $y-\frac{39304}{x^2}=0$

$\Rightarrow y=\frac{39304}{x^2}$ .......(3)

and $x-\frac{39304}{y^2}=0$

$\Rightarrow x=\frac{39304}{y^2}$ .......(4)

Now putting the x in equation (3)

$y =\frac {39304}{(\frac{39304}{y^2})^2}$

$\Rightarrow y=\frac{y^4}{39304}$

$\Rightarrow y^3= 39304$

⇒y=34 cm

Then $\Rightarrow x=\frac{39304}{34^2}$ =34 cm.

Putting the value of x and y in the equation (2)

$z=\frac{19652}{34 \times 24}$

=17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

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2 years ago

Factorise<br>3(m-4)+b(4-m)

Maurinko [17]

Answer:

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2 years ago

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