Small number =X
mid number = 3X-4
large number = 3x
X+3X-4+3X=24
7X-4=24
7X-4+4=24+4
7X=28
X=28/7
X=4
S=4
M=3(4) -4=12-4=8
L=3(4)=12
The numbers are 4,8 and 12
Answer:
Step-by-step explanation:
1 dollar = 30 cents tax + 70 cents net income
<u>The ratio of taxes to net income:</u>
Correct choice is D
Answer:
78.04 square cm
Step-by-step explanation:
Area of shaded region = area of circle - Area of rectangle

Step-by-step explanation:
Confidence interval = mean ± margin of error
CI = μ ± ME
The mean is μ = 8.7.
Margin of error = critical value × standard error
ME = CV × SE
At 95% confidence and 9 degrees of freedom, CV = 2.262.
SE = s / √n
SE = 3.3 / √10
SE = 1.04
The margin of error is:
ME = 2.262 × 1.04
ME = 2.36
CI = 8.7 ± 2.36
CI = (6.34, 11.06)
Let x be the number of weeks; therefore, the two linear equations are

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then

Thus, substitute the value of x=3 into the first equation,

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.