Answer:
0.81
Step-by-step explanation:
There are 8 pints = 1 gallon
8 times 2= 16/19.68=0.813
each pint is 0.81 cents
Answer:
83 is prime
97 is prime
92 is composite - The pairs are (1,96) (2,46) (4,23)
Step-by-step explanation:
Answer:
CD = 4
Step-by-step explanation:
GH bisects CF <u><em>means</em></u> CF = 2 CD
CF = 2 CD
⇔ 2y - 2 = 2×(3y - 11)
⇔ 2y - 2 = 6y - 22
⇔ 22 - 2 = 6y - 2y
⇔ 20 = 4y
⇔ y = 5
<u>Calculating CD ,For y = 5</u> :
CD = 3y - 11
= 3(5) - 11
= 15 - 11
= 4
Answer:
Number of year in which population will be 180,000 = 6 year (Approx.)
Step-by-step explanation:
Given:
Population in 2007 = 168,979
Rate of increase in population = 1% = 0.01
Future population = 180,000
Find:
Number of year in which population will be 180,000
Computation:
A = P[1+r]ⁿ
Future population = Population in 2007[1+Rate of increase in population]ⁿ
180,000 = 168,979[1+0.01]ⁿ
180,000 = 168,979[1.01]ⁿ
1.06522 = [1.01]ⁿ
n = 6 (Approx.)
Number of year in which population will be 180,000 = 6 year (Approx.)
Answer:
A. x
C. x – 5
D. x + 2
Step-by-step explanation:
From the question above, we are asked to find the factors of an algebraic expression that is given as:
x³ - 3x² - 10x
We would use the step of factorisation
Step 1
x(x² - 3x- 10)
The first factor of the algebraic expression has been obtained = x
Step 2
We factorise x² - 3x - 10
x² +2x - 5x - 10
(x²+2x) - (5x - 10)
x(x + 2) -5(x + 2)
(x + 2)(x - 5)
Step 3
x³ - 3x² - 10x
x(x² - 3x- 10)
(x)(x + 2)(x - 5)
Therefore, the factors of the algebraic expression are:
(x), (x + 2), (x - 5)