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3 years ago

División de fracciones. 2/5÷10/7

Mathematics

1 answer:

xeze [42]3 years ago

8 0

jk,Answer:

Step-by-step explanation:

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An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0

3 years ago

At the school carnival, Jade has a games booth with a spinner. The banner at her booth reads "60% chance of winning!" What is th

Sergeu [11.5K]

Bc there ia a 60% chance of winning so the chance of not winning is 100%-60%= 40%.

3 0

3 years ago

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11. The number of students in Madison Elementary School increased from 365 students last year to 397 students this year. What wa

OLga [1]

Answer:8.76712328...%

Step-by-step explanation:

1.Find the increase in students. 397-365=32

2. Take the ratio and put it into percent. 32/365=x/100

3. Cross multiply. 32 x 100=365x

4.Solve. X=8.76712328...%

It is repeating forever like this.

8.767123287671232876712328

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3 years ago

Read 2 more answers

Evaluate [(21+6)-3^2]divided by 9•2

expeople1 [14]

Answer:

Step-by-step explanation:

[(21+6)-3^2] / 9*2

[27-3^2] / 9*2

[27 - 9] / 9*2

18 / 9*2

18 / 18

8 0

3 years ago

Which of the following are true statements about the expression 5^12?

Fed [463]

Answer:

A. 5 is the base

D. 12 is the exponent and tells us how many times we should multiply 5 by itself

Step-by-step explanation:

The given expression is

$5^{12}$

This is a number written in an index notation.

The base is 5.

The exponent is 12.

The exponent tells us how many times the base multiplies itself.

Therefore $5^{12}$ means, 5 multiplies itself 12 times.

Options A and D are correct.

8 0

3 years ago

División de fracciones. 2/5÷10/7​

División de fracciones. 2/5÷10/7