Answer:
1a) t = 0.17b
1b) $36.03
2) 51,167.50
Step-by-step explanation:
1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip
1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.
To find what the cost was without the tip, divide the bill total by 1.17
248/1.17 = 211.97. That was the bill before the tip was added.
248-211.97 = 36.03 was the tip added.
2) 5.5% converted to a decimal is 0.055
0.55 x 48,500 = 2667.50
$2,667.50 + $48,500 = 51,167.50
Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500
1.055 x 48,500 = 51,167.50
Answer: 20
Step-by-step explanation:
x+y=5
x-y=4
---------
x+y=5
x=4+y
--------
(4+y)+y=5
4+y+y=5
4+2y=5
2y=1
y=0.5
x=4.5
---------
x²-y²=(4.5)²-(0.5)²=20.25-0.25=20
Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".
Answer: -7.5
Step-by-step explanation:
area = 1/2bh.
area = 1/2(x+6)(5)
area = x/2 + 15
area = x/2 = -15
area = x = -7.5
area = -7.5
Answer:The first one 18in.2
Step-by-step explanation:
