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28. The ratio of games they won to total games played = 12: 14 = 6: 7.
29. Max's pay rate is 9.50 dollars per hour.
30. The value of n is 9.
Step-by-step explanation:
Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.
The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.
Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.
Money earned per hour = = $9.50. So Max's pay rate per hour is $9.50.
Step 3; The given proportion is
=
, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side
n = × 12 =
× 12 =
= 9.
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Let x = greater number
y = smaller number
(1)
(1)
(2)
We'll substitute y in (1) to (2)
(2)
x - 9 = 0 or x + 3 = 0
x = 9 x = -3
and
y = x - 6 y = x - 6
y = 9 - 6 y = -3 - 6
y = 3 y = -9
Therefore, the two numbers can be 9 and 3 or -3 and -9.
y = smaller number
(1)
(1)
(2)
We'll substitute y in (1) to (2)
(2)
x - 9 = 0 or x + 3 = 0
x = 9 x = -3
and
y = x - 6 y = x - 6
y = 9 - 6 y = -3 - 6
y = 3 y = -9
Therefore, the two numbers can be 9 and 3 or -3 and -9.