Answer:
123
Step-by-step explanation:
180-57=123
OK OK ok
Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Answer:
1987.2
Step-by-step explanation:
We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the strength of students increased by 8% to 2160 then the original was 92%.
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
92(2160)=100(y)
198720=100y
y=1987.2
There are 1987.2 as the original strength of students.
Like terms are terms that have the same variable no matter the coefficient value such as a negative or positive coefficient (number right to left of the variable aka the letter representing an unknown amount of value).
A. 8n : - 4n becuase the have the same variable (N)
B. - 2d: D because they have the same variable and even if d has no coefficient, it still has value, variables with no coefficient always equal 1 no matter the circumstances
C. - b: 17b and -3b2 because they both have the same variable eliminating the coefficients being two different types of numbers (positive and negative). The expressions have to have the same variable.
D: 4y², -3y2,4y, and 4 to the second power. This is because they all have the same variable.
E. 6x2y: 3xy because the variable are specifially xy and they must be in order to be like terms.
abc: all because they have all the letters but are just in different orders of variables. (thats all)
This one is 9.69892 x 10^2 i believe
