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gshreya2005
14.12.2019 •
Mathematics
2/3 is what percent of 1/4 ? of 1/6?
a grocer has 18 kg of black tea worth $3.5 per kg. she wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. how much of green tea should she use?
solve for both, and if you get it both correct, i will make you
it will be !
its rsm hw btw
Solved
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Ответ:
Let...
x= kg of green tea
We can make an equation from the information given.
3.5(18)+2.6x=2.9(x+18)
63+2.6x=2.9x+52.2
10.8=0.3x
x=36
36 kg of green tea
I will also solve your first question.
2/3 is what percent of 1/4? 1/6?
Let's turn this question into an equation where we can solve for the unknown. Don't worry about the percent conversion yet.
2/3=1/4x
x=8/3
Now we can convert 8/3 to 800/3 %.
We solve the second part of the question similarly.
2/3=1/6x
x=12/3=4=400%
800/3% and 400%
Ответ:
1) If you want to know what percent is X in Y, you must do:
X/Y*100%
so in this case:
(2/3)/(1/4)*100% = 266.66%
So 2/3 is the 266.66% of 1/4
and
(2/3)/(1/6)*100% = 400%
So 2/3 is the 400% of 1/6
2) We have 18kg of black tea, and each kg cost $3.5
we want to mix it with X kg of green tea, (with a cost of $2.6) so the total cost per kg is $2.9
The final weight of the mixture will be 18kg + X
and the price of the each kilogram in the mixture will be:
P = (18kg*3.5 + X*%2.6)/(18kg + X) = $2.9
we must solve it for X
(18kg*3.5 + X*$2.6) = $2.9*(18kg + X) = $2.9*18kg + $2.9*X
X*($2.9 - $2.6) = ($3.5 - $2.9)*18kg
X = (0.6/0.3)*18kg = 36kg
So you need to add 36kg of green tea.
Ответ:
choice A) -8/5
Work Shown:
Use the slope formula which basically says you subtract the y coordinates, then subtract the x coordinates in the same order, then you divide the results (reduce if possible)
m = (y2-y1)/(x2-x1)
m = (-1-7)/(4-(-1))
m = (-1-7)/(4+1)
m = -8/5