Question number one is 2/3
Simplifyiing
the greatest common factor is 3 so
3x - 9y + 12 = 3(x - 3y + 4)
Answer:
5.5%
Step-by-step explanation:
To find the interest rate, use the equation: I = prt
I = Interest = $6,600
p = principal = $15,000
r = rate = unknown
t = time = 8 years
Now plug the numbers into the equation.
6,600 = 15,000 * r * 8
6,600 = 120,000 * r
Now isolate the variable by dividing both sides of the equation by 120,000.
0.055 = r
Now change the rate to a percent by moving the decimal point 2 digits to the right.
5.5% = r OR r = 5.5%
Translate
'what' means unknown or find this or ?
'is' means = or equals
22%
'of' means multiply
50
percent means parts out of 100
x%=x/100 so 22%=22/100
so
what is 22% of 50 means
?=22/100 times 50
?=1100/100
?=11
answer is 11
the hack, is to recognize that 50 is 1/2 of 100, so 22% of 1/2 of 100 is 22/2=11
answe ris 11
(- 1 + √3)/2
rationalise the denominator by multiplying the numerator/denominator by the conjugate of the denominator.
the conjugate of 1 + √3 is 1 - √3
(1 - √3)/(1 + √3)(1 - √3) = (1 - √3)/( 1² - (√3)²) = (1 - √3)/(1 - 3) = (1 - √3)/(- 2)
multiply numerator/denominator by (- 1)
=(-1 +√3)/2
