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Nezavi [6.7K]
1 year ago
13

On your lab bench, you have 2 mystery metal cubes. each cube has a mass of 10.0 grams. cube a has a density of 10 g/cm3. cube b

has a density of 0.37 cm3. what conclusion can be made about the sizes of the two cubes?
a. cube b has atoms that are more closely packed in its volume than cube
a.
b. cube b has a volume that is one-third of the volume of cube
a.
c. each edge of cube b is two times larger than cube
a.
d. each edge of cube b is three times larger than cube
Mathematics
1 answer:
lianna [129]1 year ago
6 0
To compare both, we find the volume of both cubes as follows:

V of cube A = 10 g / 10 g/cm^3 = 1 cm^3

V of cube B = 10 g / 0.37 g/cm^3 = 27 cm^3

I think the correct answer from the choices listed above is option D. Each edge of cube b is three times larger than cube. Hope this helps. Have a nice day.
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Round all-the-way 2,689
Stels [109]
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7 0
1 year ago
The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start su
oksano4ka [1.4K]

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is 44\ cm

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

A=\pi r^{2}

we have

A=484\pi\ cm^{2}

substitute in the formula and solve for the radius r

484\pi=\pi r^{2}

Simplify

484=r^{2}

r=22\ cm

Find the diameter

Remember that the diameter is two times the radius

D=2(22)=44\ cm

3 0
1 year ago
Read 2 more answers
On a certain​ route, an airline carries 7000 passengers per​ month, each paying ​$30. A market survey indicates that for each​ $
KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

R=p\cdot N=(30+x)(7000-x)

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20

We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:

p=30+x=30+20=50

The maximum monthly revenue is:

R(x)=(30+x)(7000-100x)\\\\R(20)=(30+20)(7000-100\cdot20)\\\\R(20)=50\cdot5000\\\\R(20)=250000

3 0
2 years ago
The ratio of Melanie's allowance to Jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00, how much allowance does Melanie get?
BartSMP [9]

If Melanie get's 4.10$, then Jacob get's 20.50$.

We can divide to get the unit rate:

20.50 ÷ 4.10 = 5

This means that if Jacob gets 5$, then Melanie will get 1$.

So in this case, Melanie get's 1$.

6 0
1 year ago
Read 2 more answers
Hey Guys... I need help...
erastovalidia [21]

Answer:

The final bill will cost $1,250.

Step-by-step explanation:

1000(0.7) = 70

1000(0.18) = 180

1000 + 180 + 70 = 1250

7 0
1 year ago
Read 2 more answers
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