2.8 = 2 + 0.8
*let's analyze the decimal 0.8 as a fraction
0.8 = 8/10
*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:
(8/2)/(10/2) = (4)/(5) = 4/5
*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:
2*(5/5) = (2*5)/5 = 10/5
*Now we add the fractions together:
2 = 10/5
0.8 = 4/5
10/5 + 4/5
*add numerators only, the denominator stays as a 5
(10 + 4)/5 = 14/5
*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:
answer is: 14/5
Answer:
$12.31
Step-by-step explanation:
Think of the original rate of pay as being 100%.
If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)
To find 107% of $11.50, convert 107% into a decimal
⇒ 107% = 107/100 = 1.07
then multiply this by the original rate to get the new increased rate:
⇒ $11.50 × 1.07 = $12.305
Rounding this to the nearest hundred = $12.31
Alternatively, you can find 7% of $11.50 and then add this to $11.50.
⇒ 7% = 7/100 = 0.07
Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805
Add this to the original rate:
$11.50 + $0.805 = $12.305
Rounding this to the nearest hundred = $12.31
Answer is:
x ≥ -18/5
2+4/9x ≥ 4+x
4/9x-x ≥4-2
4/9x-9/9x ≥2
- 5/9x ≥2 multiple by 9
-5x ≥2•9
-5x ≥18
x ≥ -5/18
Answer:
D' (1, 3)
Step-by-step explanation:
When reflected across the y = x line, the "x" and "y" coordinates switch.
If D is (3, 1), then:
x = 3
y = 1
Switch the "x" and "y" values, and rewrite as (x, y).
x = 1
y = 3
D' (1, 3)
