Answer:
30 - 12x or 6(5 - 2x)
Step-by-step explanation:
Given expression:
First, let us simplify the expression inside the parentheses;
- ⇒ 4[5 + (-3x)] + 10
- ⇒ 4[5 - 3x] + 10
Then, let us open the parentheses by simplifying the distributive property;
- ⇒ 4[5 - 3x] + 10
- ⇒ 20 - 12x + 10
Finally, let us simplify the expression by adding 10 to 20.
- ⇒ 20 - 12x + 10
- ⇒ 30 - 12x
[Optional] Factor the expression by putting the expression in parentheses.
Since 6 is divisible to all the terms in the expression, we can divide 6 to all the terms in the expression and take "6" outside the parentheses.
- ⇒ 6(30/6 - 12x/6)
- ⇒ 6(5 - 2x)
Therefore, the simplified expression is 30 - 12x or 6(5 - 2x).
Answer:
2 cups
Step-by-step explanation:
2 cups
Answer: 14:3
Step-by-step explanation:
Given
Ratio between students(s) to female(f) adults is 7:6
while ratio between female(f) to male(m) is 4:1
So, we can write
![\Rightarrow \dfrac{s}{f}=\dfrac{7}{6}\quad \ldots(i)](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bs%7D%7Bf%7D%3D%5Cdfrac%7B7%7D%7B6%7D%5Cquad%20%5Cldots%28i%29)
Also, we can write
![\Rightarrow \dfrac{f}{m}=\dfrac{4}{1}\quad \ldots(ii)](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bf%7D%7Bm%7D%3D%5Cdfrac%7B4%7D%7B1%7D%5Cquad%20%5Cldots%28ii%29)
Multiply both equations
![\Rightarrow \dfrac{s}{f}\times \dfrac{f}{m}=\dfrac{7}{6}\times \dfrac{4}{1}\\\\ \Rightarrow \dfrac{s}{m}=\dfrac{14}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bs%7D%7Bf%7D%5Ctimes%20%5Cdfrac%7Bf%7D%7Bm%7D%3D%5Cdfrac%7B7%7D%7B6%7D%5Ctimes%20%5Cdfrac%7B4%7D%7B1%7D%5C%5C%5C%5C%20%5CRightarrow%20%5Cdfrac%7Bs%7D%7Bm%7D%3D%5Cdfrac%7B14%7D%7B3%7D)
So, the ratio of the students to male adults is 14:3 .