Answer:
Step-by-step explanation:
To change a decimal into a percent you multiply by 100.
If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5
Answer:
Complementary, X = 60 degrees
Step-by-step explanation:
Complementary = 90 degree angle
Supplementary = 180 degree angle
(x - 30) + x = 90
(60 - 30) + 60 = 90
30 + 60 = 90
Answer:
37/45
Step-by-step explanation:
Find the least common denominator, in this case, it would be 45
2/9 (multiply both the numerator and denominator by 5) = 10/45
3/5 (multiply both the numerator and denominator by 9) = 27/45
10/45 + 27/45 = 37/45
Answer:
1078
Step-by-step explanation:
first: multiply 980 by 0.10 to get 10% of 980
second: take that value (98) and add it to 980
then: you get 1078 after adding
The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.
In the expression
2 (6<em>x</em> - 1) + 2 (2<em>x</em> + 5)
both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:
(2 (6<em>x</em> - 1) + 2 (2<em>x</em> + 5)) / 2 = 2/2 (6<em>x</em> - 1) + 2/2 (2<em>x</em> - 5)
… = 1 (6<em>x</em> - 1) + 1 (2<em>x</em> - 5)
… = (6<em>x</em> - 1) + (2<em>x</em> - 5)
and so on.
Looking ahead, it turns out that the equation is solved by <em>x</em> = 7. This makes 6<em>x</em> - 1 = 41 and 2<em>x</em> + 5 = 19. So the equation is saying that, if you make these replacements,
2×41 + 2×19 = 120
If you divide *everything* on the left by 2, you end up with fractions:
(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2
but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.
