Mathematics, 01.07.2019 08:30 rntaran2002

Usa test prep gretel is traveling from chicago to atlanta. her average speed for the trip (including stops) is 60 mph and she arrives at 10: 00 pm. how many miles did gretel travel? what additional piece of information will allow us to determine how far gretel traveled? a) the time she left chicago b) the distance from chicago to knoxville c) the number of hours she stopped for breaks d) her average speed for the first half of the trip

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Answer from: tpenn2476

The time she left Chicago ⇒ answer A

Step-by-step explanation:

* Lets explain the meaning of average speed

- The definition of the average speed is the average speed of an

object is defined as the distance traveled divided by the time elapsed

- That means the average speed of a trip is total distance of the trip

divided by the total time of the trip

- Total times means the time of the movement and breaks

* Lets solve the problem

- Gretel is traveling from Chicago to Atlanta

- Her average speed for the trip (including stops) is 60 mph

- She arrives at 10:00 pm

∵ The rule of average speed = total distance/total time

- Find the distance she traveled lets rearrange the formula

- Multiply the both sides of the formula by total time

∴ Total distance = average speed × total time

∵ average speed = 60 mph

∴ We need the total time

- The total time of her trip is the difference between the arrival time

and the departure time

∵ She arrives Atlanta at 10:00 pm

∴ We know the arrival time

∴ We need to know the departure time from Chicago

∴ The additional piece of information will allow us to determine how

far Gretel Traveled is the time she left Chicago

Answer from: Quest

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

Answer from: Quest

the simplified form is

$\frac{x^2(2x+3)}{2(4x-3)}$

step-by-step explanation:

we want to simplify the expression,

$\frac{\frac{6x+9}{15x^2} }{\frac{16x-12}{10x^4} }$

let us change the middle bar to a normal division sign to obtain,

$\frac{6x+9}{15x^2}\div\frac{16x-12}{10x^4}$

we multiply the first fraction by the reciprocal of the second fraction to obtain,

$\frac{6x+9}{15x^2}\times \frac{10x^4}{16x-12}$

we factor to obtain,

$\frac{3(2x+3)}{3\times5\times x^2}\times \frac{2\times5\times x^2\times x^2}{4(4x-3)}$

we cancel the common factors to get,

$\frac{(2x+3)}{1}\times \frac{ x^2}{2(4x-3)}$

we simplify to get,

$\frac{x^2(2x+3)}{2(4x-3)}$

the correct answer is b

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