Answer:
See below.
Step-by-step explanation:
Total = 110
Let calls on third evening = x
second evening = 4x
first evening = x + 8
=> x + 4x + x + 8 = 110
=> 6x = 102
=> x = 17
First evening = x = 17 calls
Second evening = 4x = 68 calls
Third evening = x + 8 = 25 calls
Answer:
Contract A is cheaper because $115 per month is less than $148 per month
Step-by-step explanation:
To find the unit price we divide the total cost given by the total months given for each contract to find out the cost per month.
$2070/18 months = $115 per month
$1776/12 months = $148 per month
Contract A is cheaper because $115 per month is less than $148 per month
Answer:
a. ![\frac{(x-7)}{x^2+x-30}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-7%29%7D%7Bx%5E2%2Bx-30%7D)
Step-by-step explanation:
![\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}](https://tex.z-dn.net/?f=%5Chuge%20%5Cfrac%7Bx%5E2-3x-28%7D%7B%28x%5E2%2B10x%2B24%29%28x-5%29%7D%20%5C%5C%5C%5C%5Chuge%20%7B%3D%5Cfrac%7Bx%5E2-7x%2B4x-28%7D%7B%28x%5E2%2B6x%2B4x%2B24%29%28x-5%29%7D%7D%5C%5C%5C%5C%5Chuge%20%7B%3D%5Cfrac%7Bx%28x-7%29%2B4%28x-7%29%7D%7B%5C%7Bx%28x%2B6%29%2B4%28x%2B6%29%5C%7D%28x-5%29%7D%7D%5C%5C%5C%5C%5Chuge%20%7B%3D%5Cfrac%7B%28x-7%29%28x%2B4%29%7D%7B%28x%2B6%29%28x%2B4%29%28x-5%29%7D%7D%5C%5C%5C%5C%5Chuge%20%7B%3D%5Cfrac%7B%28x-7%29%7D%7B%28x%2B6%29%28x-5%29%7D%7D%5C%5C%5C%5C%5Chuge%20%7B%3D%5Cfrac%7B%28x-7%29%7D%7Bx%5E2%2B%286-5%29x%2B6%28-5%29%7D%7D%5C%5C%5C%5C%5Chuge%20%7B%3D%5Cfrac%7B%28x-7%29%7D%7Bx%5E2%2Bx-30%7D%7D)
Answer:
Step-by-step explanation:
21(5m - 3) = 63*9
105m - 63 = 567
105m = 630
m = 6
Answer:
-Managing money $$$
-Balancing the checkbook.
-Shopping for the best price.
-Preparing food.
-Figuring out distance, time and cost for travel.
-Understanding loans for cars, trucks, homes, schooling or other purposes.
-Understanding sports (being a player and team statistics)
-Playing music.
These are things we do everyday that use Math.
Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.