Answer:
Step-by-step explanation:
well we use the distance formula
so that's the length of the radius
The time the two trains are at the same distance from salt lake city is 6:am
<h3>What is rate?</h3>
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
Let the distance between salt lake city and the two trains be x and the time they are at the same distance x be t.
distance traveled by first train,
speed = distance/time
40 = x/t
making x subject of the equation and cross multiplying,
x = 40t--------------1
Also train 2 moved 4 hours later by 2pm, so the its time is t - 4
speed = distance /time
50 = x/t - 4
x = 50(t - 4)---------------2
Equating equations 1 and 2, we have
50(t - 4) = 40t
50t - 200 = 40t
50t - 40t = 200
10t = 200
t = 200/10
t = 20 hours
so the time the two trains will be at the same distance should be 20 hours from 10 am which is 6am the following day.
In conclusion the two trains will be at the same distance at 6am the following day.
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Answer:
452.16 in³
Step-by-step explanation:
A volcano is an inverted cone and with that, the volume can be solved through the equation,
V = (1/3)(area of the base)(height)
We solve the area of the base first,
area of the base = (pi)(r²)
= 3.14(6 in)²
= 113.04 in²
Substituting these calculated values and the other givens above to the first equation,
V = (1/3)(113.04 in²)(12 in) = 452.16 in³
Thus, the volume of the model is approximately equal to 452.16 in³.
Ruby's hours will represent x+6
Svetlana's hours will represent 4(x+6)
Issac will represent x.
The equation would read:
x+(x+6)+(4(x+6))=126
x+x+6+4x+24=126
6x+30=126
Subtract 30 from both sides.
6x=96
Divide 6 on both sides to get x by itself.
x=16
So:
Issac worked 16 hours
Ruby worked 22 hours
Svetlana worked 88 hours.
To check your answer, plug in the values:
16+22+88=126
126=126
Hope this helps.
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