Divide the total amount by the portion size.
= 3 1/2 ÷ 1/4
convert 3 1/2 to improper fraction
= (2*3+1)/2 ÷ 1/4
= 7/2 ÷ 1/4
to divide a fraction, we multiply by the reciprocal/inverse of 1/4
= 7/2 * 4/1
multiply numerators, then multiply denominators
= (7*4)/(2*1)
= 28/2
= 14
ANSWER: 14
Hope this helps! :)
<span>A dust particle weighs 7.42 × 10-10 kilograms.
Weight of 5 × 106 dust particles = </span>5 × 10^6 x 7.42 x 10^(-10)
= 5 x 7.42 x 10^(6-10)
= 37.1 x 10^(-4)
= 3.71 x 10^(-3) kilograms
The possible solution to the equation given is 3 and -1/3
<h3>Laws of logarithm</h3>
Given the logarithmic expression given as:
log,(8x) – log,(x^2 - 1) = log, 3
Applying the product and quotient rule will give:
log(8x/x^2-1) = log3
8x/x^2-1 = 3
Cross multiply
8x = 3x^2 - 3
3x^2 - 8x - 3 = 0
3x^2 -9x + x - 3 = 0
3x(x-3)+1(x-3)
x - 3 = 0 and 3x = -1
x = 3 and -1/3
Hence the possible solution to the equation given is 3 and -1/3
Learn more on logarithm here: brainly.com/question/25710806
Step-by-step explanation:
x-intercept: where y = 0
Set y to zero to find x.
0 = ½x + 3
-3 = ½x
x = -6
(-6, 0)
