Answer:
![Ivy = 24](https://tex.z-dn.net/?f=Ivy%20%3D%2024)
Step-by-step explanation:
Given
![Dennis : Ivy = 7 : 4](https://tex.z-dn.net/?f=Dennis%20%3A%20Ivy%20%3D%207%20%3A%204)
Required
Determine the amount of sweet Ivy gets when Dennis = 42
We have:
and
![Dennis = 42](https://tex.z-dn.net/?f=Dennis%20%3D%2042)
Substitute 42 for Dennis in ![Dennis : Ivy = 7 : 4](https://tex.z-dn.net/?f=Dennis%20%3A%20Ivy%20%3D%207%20%3A%204)
![42 : Ivy = 7 : 4](https://tex.z-dn.net/?f=42%20%3A%20Ivy%20%3D%207%20%3A%204)
Convert to fraction
![\frac{42}{Ivy} = \frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7BIvy%7D%20%3D%20%5Cfrac%7B7%7D%7B4%7D)
Cross Multiply:
![Ivy * 7 = 42 * 4](https://tex.z-dn.net/?f=Ivy%20%2A%207%20%3D%2042%20%2A%204)
Divide through by 7
![\frac{Ivy * 7}{7} = \frac{42 * 4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7BIvy%20%2A%207%7D%7B7%7D%20%3D%20%5Cfrac%7B42%20%2A%204%7D%7B7%7D)
![Ivy = \frac{42 * 4}{7}](https://tex.z-dn.net/?f=Ivy%20%3D%20%5Cfrac%7B42%20%2A%204%7D%7B7%7D)
![Ivy = 6* 4](https://tex.z-dn.net/?f=Ivy%20%3D%206%2A%204)
![Ivy = 24](https://tex.z-dn.net/?f=Ivy%20%3D%2024)
All you have to do is make 1 into a fraction 4/4+1/4 makes the 8 servings
find and equivilent fraction so 8/8+2/8= 8 servings half it 4/8+1/8= 4 servings so half a cup and an eighth of a cup or 5/8 of a cup hope this helped you have a great day!!
The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
<h3>What is differentiation?</h3>
The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.
Given that:-
![g(t)= \dfrac{7}{t^4}](https://tex.z-dn.net/?f=g%28t%29%3D%20%5Cdfrac%7B7%7D%7Bt%5E4%7D)
The derivative will be calculated as:-
![g'(t)=7 \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}](https://tex.z-dn.net/?f=g%27%28t%29%3D7%20%20%20%5Cdfrac%7Bd%7D%7Bdt%7D%28t%5E%7B-4%7D%29%5C%5C%5C%5C%5C%5Cg%27%28t%29%3D7%5Ctimes%20%28-4t%5E%7B-5%7D%29%5C%5C%5C%5C%5C%5Cg%27%28t%29%3D%5Cdfrac%7B-28%7D%7Bt%5E5%7D)
Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
To know more about derivatives follow
brainly.com/question/954654
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Answer:
32
Step-by-step explanation:
From the given values
The possible logic could be
if x.y is given
then it is equal to![=\frac{(x+y)\times x}{y-3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28x%2By%29%5Ctimes%20x%7D%7By-3%7D)
For 1st example
3.4![=\frac{(3+4) \times 3}{4-3} =\frac{21}{1} =21](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%283%2B4%29%20%5Ctimes%203%7D%7B4-3%7D%20%3D%5Cfrac%7B21%7D%7B1%7D%20%3D21)
For 2nd example
2.5![=\frac{(2+5) \times 2}{5-3} =\frac{7 \times 2}{2} =7](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%282%2B5%29%20%5Ctimes%202%7D%7B5-3%7D%20%3D%5Cfrac%7B7%20%5Ctimes%202%7D%7B2%7D%20%3D7)
⇒4.4![=\frac{(4+4)\times 4}{4-3} =32](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%284%2B4%29%5Ctimes%204%7D%7B4-3%7D%20%3D32)
1/2 / 3 = 1/2 x 1/3 = 1/6
each person will get 1/6 lb of chocolate