The question is incomplete, the complete question is;
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?
Answer:
36
Step-by-step explanation:
Let the weight of the green tea used be x kg.
From the question:
We have:
18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63
Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x
Total weight of the mixture is 18 + x kg.
Total cost of the mixture is = $2.9 (18 + x)
Thus,
Total cost of black tea + total cost of green tea = Total cost of the mixture
$63 + $2.6 x = $2.9 (18 + x)
$63 + $2.6x = $52.2 + $2.9x
63 – 52.2 = 0.3 x
10.8 = 0.3 x
x = 10.8/0.3
x = 36
36 kg of green tea is needed
Hey there!
Explanation:
First, you had to do is add by 13 from both sides of an equation.
![3a-13+13=47+13](https://tex.z-dn.net/?f=3a-13%2B13%3D47%2B13)
Then, simplify or add by the numbers.
![47+13=60](https://tex.z-dn.net/?f=47%2B13%3D60)
![3a=60](https://tex.z-dn.net/?f=3a%3D60)
Next, you can also divide by 3 from both sides of an equation.
![\frac{3a}{3}=\frac{60}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3a%7D%7B3%7D%3D%5Cfrac%7B60%7D%7B3%7D)
And finally, simplify and divide by the numbers,
![60/3=20](https://tex.z-dn.net/?f=60%2F3%3D20)
*The answer must have a positive sign.*
![\boxed{a=20}](https://tex.z-dn.net/?f=%5Cboxed%7Ba%3D20%7D)
Hope this helps!
9 hours and 40 minutes before 4 : 25 A.M. is --->
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6 : 45 P.M
I just did it in my head..Sorry that i couldn't show my explanation
I really hope this answer helped you
Have a great day!!
Im mot sure of the answer
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
![y=a(1+r)^x](https://tex.z-dn.net/?f=y%3Da%281%2Br%29%5Ex)
![y=a(b)^x](https://tex.z-dn.net/?f=y%3Da%28b%29%5Ex)
Where, a is the initial value, r is the growth rate in decimal and
is the growth factor.
It is given that the growth rate is 30% decrease. So,
![r=-30\%](https://tex.z-dn.net/?f=r%3D-30%5C%25)
![r=-\dfrac{30}{100}](https://tex.z-dn.net/?f=r%3D-%5Cdfrac%7B30%7D%7B100%7D)
![r=-0.3](https://tex.z-dn.net/?f=r%3D-0.3)
Now,
![b=1+r](https://tex.z-dn.net/?f=b%3D1%2Br)
![b=1+(-0.3)](https://tex.z-dn.net/?f=b%3D1%2B%28-0.3%29)
![b=1-0.3](https://tex.z-dn.net/?f=b%3D1-0.3)
![b=0.7](https://tex.z-dn.net/?f=b%3D0.7)
Therefore, the growth factor is 0.7.