Answer:
4.12 kg
Step-by-step explanation:
Regular cakes:
1 dozen normal sponge cakes: 264 g plain flour
Vegetarian cakes:
1 dozen cakes: 264 g plain flour
4 eggs are replaced by 4 * 30 g of flour = 120 g flour
total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g
Proportion for regular cakes:
12 cakes to 264 g flour = 100 cakes to x grams flour
12/264 = 100/x
12x = 26400
x = 2200
2200 g flour for 100 regular cakes
Proportion for vegetarian cakes:
12 cakes to 384 g flour = 60 cakes to y grams flour
12/384 = 60/y
12y = 384 * 60
12y = 23040
y = 1920
1920 g flour for 60 vegetarian cakes
Total flour needed:
2200 g + 1920 g = 4120 g
4120 g * 1 kg/(1000 g) = 4.12 kg
Answer: 4.12 kg
Answer:
69 years
Step-by-step explanation:
Trust me 69
Answer:
B.) -3
Step-by-step explanation:
The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4) option e. (4, 4) and option f. <span>(2, -1)
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span>< 3x + 5
-5 </span><span>< 3(-3) + 5
-5 </span><span>< -9 + 5
-5 </span><span>< -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
Answer:
![f(g(x))=6x^3} +4](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D6x%5E3%7D%20%2B4)
Step-by-step explanation:
Given:
![f(x)=2x^2+4\\\\g(x)=\sqrt{3x^3}](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E2%2B4%5C%5C%5C%5Cg%28x%29%3D%5Csqrt%7B3x%5E3%7D)
Required:
f(g(x))=?
Solution:
let f(g(x))=f(X), where X=g(x)
so ![f(X)=2X^2+4](https://tex.z-dn.net/?f=f%28X%29%3D2X%5E2%2B4)
put X=
, we get
![f(g(x))=2(\sqrt{3x^3} )^2+4](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D2%28%5Csqrt%7B3x%5E3%7D%20%29%5E2%2B4)
![f(g(x))=2(\sqrt{3x^3} )^2+4\\\\f(g(x))=2({3x^3} )+4\\\\f(g(x))=6x^3} +4](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D2%28%5Csqrt%7B3x%5E3%7D%20%29%5E2%2B4%5C%5C%5C%5Cf%28g%28x%29%29%3D2%28%7B3x%5E3%7D%20%29%2B4%5C%5C%5C%5Cf%28g%28x%29%29%3D6x%5E3%7D%20%2B4)