Three consecutive multiples of 5 have a sum of 75. What is the least number?
Answers
x + x+5 + x+10 = 75
Combine like terms
3x + 15 = 75
subtract 15 from each side
3x = 60
divide each side by 3
x = 20
So the least number is 20
*Now let's check to make sure we are right...
20 + 25 + 30 = 75
75 = 75 True... It checks!
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Answers
Answers
Brackets mean inclusive
If your number is x --->
-3 ≤ x ≤ 3
A) y= -1.026x^2 + 1016.402x - 162075
B) y= -1.036x^2 + 1024.771x - 163710
C) y= 298.214x - 66317.667
D) y= 196.2x - 18710
Answers
Answer:
(A) y= -1.026x^2 + 1016.402x - 162075
Step-by-step explanation:
Given is the data 'x' -Items produced. The equation that satisfies the given data can be found by simply substituting the values of x in the given equations. For example:
Substituting the value of x= 100 in the given equations,
A) y= -1.026(100)^2 + 1016.402(100)-162075= -70,500
Similarly you can check the values on the rest of the equations and if they satisfy the equation, then the given is the required equation.
Answer:
(A)
Step-by-step explanation:
WE are given the data which represents the company's profit based on number of items produced.
The equation which best represents the data can be found out by substituting the values of x in the given equations.
So,substituting x=100 in first equation, we have:
which satisfies the equation. Hence, option A satisfies.
We can also substitute the different values of x in the equations to check whether it satisfies or not.
A. 1
B. 14
C. 49
D. 5040
Answers
D. 5040
The value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
= ₇P₇
Here P represents the permutation:
We can calculate the value of ₇P₇ using the formula:
P(n, r) = n!/(n - r)!
n = 7
r = 7
Plug the above values in the formula:
₇P₇= P(7, 7) = 7!/(7 - 7)!
₇P₇ = 7!/(0)!
₇P₇ = 7!
₇P₇ = 7×6×5×4×3×2×1
The above represents a mathematical operation, Now multiply all the numbers.
₇P₇ = 5040
Thus, the value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.
Learn more about permutation and combination here:
#SPJ6
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
cause 5 away from 0 could be -5 or 5 but because hers is a positive value it is 5
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(hope this helps)