56) the answer is 3x+10
_____
5
If they want it simplified it will be 3x+2
57) x+40
____
5
If they want it simplified it would be x+8
I'm not sure about 58 sorry I hope this helps a little.
Answer:
=51.63 m^2
Step-by-step explanation:
First find the area of the triangle
A = 1/2 bh = 1/2(3) * 5 = 7.5
Then find the area of the rectangle
A = l*w = 5*6 = 30
Then find the area of the semi circle, which is 1/2 the area of the circle
The diameter is 6 so the radius is 3
A = 1/2 pi r^2 = 1/2 (3.14) (3) ^2 = 14.13
Add the areas together for the total area
7.5+30+14.13
=51.63
The answer is 3n^2+1
9n^2 - 6n^2 = 3n^2
3n-3n=0
4-3=1
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.
