Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
Answer:
4. Z ≈ 46.1°
5. T ≈ 45.2°
6. F ≈ 15.0°
Step-by-step explanation:
4.
We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:
Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:
Solve for Z:
Z ≈ 46.1°
5.
Use the Law of Sines as above.
Solve for T:
T ≈ 45.2°
6.
Again, use the Law of Sines as before.
Solve for F:
F ≈ 15.0°
Answer:
3) 27
4) 80
5) 45
6) 48
7) 42
8) 4.2
Step-by-step explanation:
5,4* 10^4 = 54000in 2012.
2013 = 54000*3 = 5,4*3* 10^4 = 162000 fishes. 1,62 *10^ 5
Answer:
The answer are (a) measurement on ordinary scale can be ranked, but on nominal scale observation cannot be ranked, (b) on the interval scale measurement can be compared in terms of difference of magnitude, but on ordinary scale, observations cannot be compared in terms of magnitude (c) the point of zero is arbitrary and can be found in any where on the measurement of interval scale
Step-by-step explanation:
Explanation
(a) In nominal scale measurement, observations are classified but in ordinal scale measurement observations are ranked
Therefore additional information of comparing ranking in observation when measurement are gotten from ordinary scale as compared to nominal measurement.
(b) In interval scale measurement can be compared by different magnitude because it is ranked, while ordinary scale measurement, observation can be ranked for comparison
For example the grade of student in a school are grouped under the ordinary scale of measurement due to the fact that Grade A is greater than B
Therefore we have extra information of contrasting observations based on magnitude differences when measurement are gotten form interval scale as against ordinary scale
(c) In the interval scale of measurement, observations are compared in terms of magnitude differences. the point of zero is arbitrary and can found anywhere
For example if a person has no salary what this means is that he has rupes of zero (salary)
Then again, the additional information of the zero point of arbitrary is when measurement is gotten from interval scale. what this suggest is that none is in the scale of ratio
