The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.
Let the kilograms of peanut clusters = x
Let kilograms of chocolate creams = y = 3x
Therefore, from the information given, the equation to solve the question will be:
x + y = 48 kilograms
x + 3x = 48 kilograms
4x = 48 kilograms
x = 48 kilograms / 4
x = 12 kilograms
Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.
In conclusion, the correct option is 12 kilograms.
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Answer:
56.27 in
Step-by-step explanation:
You can determine the length of the missing side IH by using sine law.
In the form of a/sinA = b/sinB = c/sinC, you can substitute an angle and its corresponding side, which in this case is angle I and side i, and do so with the other angle, which is angle X and side x.
<u> 74 </u> = <u> IH </u>
sin97 sin49
after this, multiply both sides by sin49 to isolate side IH -
(sin49) x <u> 74 </u> = IH
sin97
now plug all the numbers into a calculator and you will get the answer, 56.26792; when rounded, it should be 56.27 in.
It’s has 3 solutions (0,3/2) (1,1) (2,1/2)
Alright, so since the slope of the perpendicular line is -1/(slope), we get (-1/2)=-1/2 and y=(-1/2)x + something. Plugging 7 in as y and -4 in as x, we get 7=(-1/2)(4)+something (let's make it a variable b), and multiplying it out we get 7=-2+b. Adding 2 to both sides, we get 7+2=9=b, so the perpendicular line equation is therefore y=(-1/2)x+b<span />
Answer:
The time will depend on the number of people who move on each trip from the point of origin to the destination. If done at the maximum speed allowed using 100 vehicles of 50 seats each, the evacuation would be done in 63.68 hours
Step-by-step explanation:
Population = 91,000 ppl
Speed limit = 60 mph
Distance = 21 miles.
1. <em>Assuming that people is evacuated at the max. speed allowed, it means that each trip will take</em>:
T = D/V
D= 21 miles
V = 60 mph:
So;
T = 21 miles / 60mph
T= 0,35 h
2. Asumming that we are going to use an amount of 100 vehicles with 50-seats in each trip for evacuating people, it means that we could evacuate
500 people every 0,35 h ≈ 1,429 ppl/hour <em>(evacuation rate)</em>
To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate
T= 91,000/ 1,429 = 63,68 hours
