Assuming that you mean to put n instead of 5, this is demonstrating The Identity Property.
The identity property is the property that states that by adding 0 to a number, you don't change the value. For example, 510 + 0 = 510.
Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
Change the ratios to decimals and compare:
7 / 12 = 0.583
7 / 8 = 0.875
So 7:12 is less than 7/8
The answer is <
Answer:
The range of the Morning box plot is the same as the range of the Afternoon box plot.
Step-by-step explanation:
Data provided in the question
Number line = 0 to 16
Morning whiskers range = 3 to 15
Box range = 5 to 12
Line divided = 8
Afternoon whiskers range = 4 to 16
Box range = 8 to 15
Line divided = 14
Based on the above information,
The morning whiskers range difference is
= 12 - 5
= 7
And, the afternoon whiskers range difference is
= 15 - 8
= 7
Therefore the first option is correct
So use undistributive properyt]
ab+ac=a(b+c)
so factor 24a dadn 28 to find 'a' the common factor
24=2 times 2 times 2 times 3 tiems a
28=2 times 2 times 7
common one is 2 itmes 2=4
a=4
4(2 times3 times a)+4(7)=4(6a)+4(7)=4(6a+7)
