Answer:
d fasho
Step-by-step explanation:
43.9 + n = 49.65
43.9-43.9 + n = 49.65 -43.9
n = 5.75
Answer:
x=27
Step-by-step explanation:
To evaluate the expression: ![[(3^{-5})(3^4)]^3](https://tex.z-dn.net/?f=%5B%283%5E%7B-5%7D%29%283%5E4%29%5D%5E3)
Step 1: Innermost group, apply the product of powers (
Therefore:

We then have:
![=[3^{-1}]^3](https://tex.z-dn.net/?f=%3D%5B3%5E%7B-1%7D%5D%5E3)
Step 2: Apply the power of a power
![[3^{-1}]^3=3^{-1 \times 3} =3 ^{-3}](https://tex.z-dn.net/?f=%5B3%5E%7B-1%7D%5D%5E3%3D3%5E%7B-1%20%5Ctimes%203%7D%20%3D3%20%5E%7B-3%7D)
Step 3: Apply the negative exponent

Step 4: Simplify

Therefore, the value of x in the simplified expression is 27.
Answer:
47/6
Step-by-step explanation:
Given that :
Time taken to paint 3 cars = 4 hours
Time taken to paint 2 trucks = 5 hours
How long will it take him to paint 4 cars and a truck
If 3 cars = 4 hours ;
Then ;
1 car = (4/3)hours
If 2 trucks = 5 hours
Then;
1 truck = (5/2) hours = 2 1/2 hours
Time required To paint 4 cars :
4 × (4/3) = 16/3 hours
Time required to paint 1 truck :5/2 hours
Total time required :
(16/3 + 5/2) = (32 + 15) / 6 = 47/6
We have 11 members at the city council meeting, 4 voted in favour of a budget increase.
The possible groups of council members who could have voted in favour can be found using the combination formula which is used when we want to group items, in this case, we are grouping people.
Here is the formula;
Where n = Total members on the city council = 11
and r = members that voted in favour = 4
We will then solve this to be

This implies that there are 330 possible groups of council members who could have voted in favour.
ANSWER: 330