Answer:
$700
Step-by-step explanation:
Given:
The ratio of taxes to profits is 7:3.
The taxes and profits total $1000.
Question asked:
Amount of taxes = ?
Solution:
Let ratios = 
And amount of taxes = 
Then amount of profit = 
Sum of amount of taxes and profits = $1000.(given)
by dividing both side by 10
Thus, amount of taxes = = 
= 
Thus, amount of profits 
eq^2: 7x=84 divide 84 by 7 which is 12.
therefore x is equal to 12. Then
1) take that 12 you got in equation 2 and substitute in equation 1 which is:
7x-12y=180
7(12)-12y=180
84 -12y=180
-12y=180-84
-12y=96 ............divide both sides with -12
-y=8 (×-1) both sides
y= -8
therefore 7(12)-12(-8)=180
The answr is A sorry if wrong
Answer:
charges for the first hour = $7.55
charges for each additional hour = $1.55
c = 1.55h + 7.55
Step-by-step explanation:
Let
x = charges for the first hour
y = charges for each additional hour
x + 2y = 10.65 (1)
x + 5y = 15.30 (2)
Subtract (1) from (2)
5y - 2y = 15.30 - 10.65
3y = 4.65
y = 4.65/3
= 1.55
y = $1.55
Substitute y = 1.55 into
x + 2y = 10.65
x + 2(1.55) = 10.65
x + 3.10 = 10.65
x = 10.65 - 3.10
= 7.55
x = $7.55
c = 1.55h + 7.55
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
