Answer: 32/35 km
Step-by-step explanation: First you have to find a common denominator between these two mixed numbers. That basically means that you have to convert them so that they both have the same denominator, that way they can be compared to one another. The easiest way to do this is to just multiply the denominators. 5 x 7 = 35. I will use 35 as my denominator. Then you multiply the numerators by the same number that you multiplied the denominator by to get 35. Since 7 x 5 = 35, 5 x 5 = 25. Same with the second fraction. 5 x 7 = 35. 4 x 7 = 28. The mixed numbers we have are now 3 and 25/35 and 2 28/35. To figure out how much farther Mark jogged we just take his distance, and subtract his sister's distance from it. 3 25/35 minus 2 28/35 = 32/35.
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.
Using geogebra (see attached), I get roughly r = 0.98886 which rounds to r = 0.989
Answer:
0.989Side Note: The fact that r is very close to +1 means the data set has strong positive linear correlation. The points all fall very close to a line with positive slope.
Answer:
x < 21
Step-by-step explanation:
Given
12x < 252 ( divide both sides by 12 )
x < 21