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3 years ago

c. Which volume-to-surface-area ratio would be better for an ice cube¡X the lowest possible or the highest possible?

1 answer:

7 0

Answer: You would want to have the highest possible volume to surface area ratio in an ice cube.

When you put ice into your drink, the goal is to have the ice chill your drink. This takes time. Therefore, you would want the ice to slow melt and cool the drink for as long as you can.

If your ice cube is mostly surface area with less volume, it will melts to quickly and water down your drink. If your ice cube has a higher ratio of volume to surface area, it will stay solid longer and chill your drink longer.

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If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?

zlopas [31]

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

6 0

3 years ago

I need help with this Adding Fractions problem. If you answer and fill out this whole page I will love you for the rest of my li

zhannawk [14.2K]

Answer:

omigosh hope she gets better i will look at the pdf and solve

Step-by-step explanation:

okay so for most of them you can just multiply by the denominator to turn it into a regular number (to get it out of fraction form) and then use basic algebra to solve for x. I 'll write the answers to problems 1-9 in the comments

8 0

3 years ago

5/8 + 3/6 SOMEONE PLS HELP MEEEE.

anygoal [31]

Answer:

1.125 or 9/8

Step-by-step explanation:

5/8 is .625 and 3/6 is .5 so .625+.5=1.125

6 0

3 years ago

A wood stove burns 4 same-sized logs in 2 hours. How many logs does the stove burn in 8 hours?

Liono4ka [1.6K]

(4logs/2hours) = (x logs/8 hours)

(4/2) = x/8)

Cross multiplication gets you:

(4)(8) = (2)x
32 = 2x
x = 16

16 logs

8 0

3 years ago

Read 2 more answers

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

3 years ago