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.
Answer:
<em>0.78</em>
Step-by-step explanation:
From the question, we are to represent 78% as a decimal
78% = 78/100
78/100 = 78 * 1/100
78/100 = 78 * 0.01
78/100 = 0.78
<em>hence the percent written as a decimal is 0.78</em>
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 4 sides
(a)
P = a + b + c + d
= x + 7 + 2x + 2 + 8x + x + 10 ← collect like terms
= 12x + 19
(b)
If x = 4 , then
P = 12x + 19 = 12(4) + 19 = 48 + 19 = 67
(c)
If x = 2 , then
P = 12x + 19 = 12(2) + 19 = 24 + 19 = 43
(d)
P = a + b + c + d
= x² + 4x + 8 + 2x² + x ← collect like terms
= 3x² + 5x + 8
Answer: 10 miles.
Step-by-step explanation:
Let m the number of miles that each dog is walked.
It is given that Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked.
Amount charged by Beth = 5m
Tonya’s dog-walking service charges a registration fee of $20, plus $3 per mile that each dog is walked.
Amount charged by Tonya = 20+3m
We need to find the number of miles m for which Tonya and Beth would charge the same amount.
Divide both sides by 2.
Therefore, for 10 miles Tonya and Beth would charge the same amount.
(A) 32.12 = 8.8 x t
(B) If you round the numbers to 32 and 8 you can see that 8 x 4 = 42 are 4 is positive.
(C) 32.12 / 8.8 = 3.65
