can someone check over my answers and correct them? *over means fraction
1) What would the slope be for a road that has a rise of 11m and a run of 100m?
a. 22 over 100
b. 11 over 100 (THS ONE)
c. 15 over 100
d. 30 over 100
2) What would the slope be for a road that has a rise of 5m and a run of 100m?
a. 0.05 (THIS ONE)
b. 0.25
c. 0.16
d. 0.02
3) What would the grade be for a road that has a rise of 11m and a run of 100m?
a. 15
b. 11 (THIS ONE)
c. 7
d. 3
4) What would the grade be for a road that has a rise of 5m and a run of 100m?
a. 4
b. 2
c. 5 (THIS ONE)
d. 3
5) Select the lowest terms for the ratio 9:27
a. 2:3
b. 3:9
c. 1:3 (THIS ONE)
d. 3:6
6) What is the slope of a line joining points (35, 27) and (35, 62)
a. 35 (THIS ONE)
b. undefined
c. 7
d. 0
7) Slope of a line joining points (2, 17) and (9, 17)
a. 12
b. undefined
c. 7
d. 0 (THIS ONE)
8) Solve for x in 6 over x = 4 over 8
a. 12
b. 2
c. 14
d. 8 (THIS ONE)
9) A line connecting the points (x, 12) and (12, 9) has a slope 1.4. Determine X.
a. 9
b. 10 (THIS ONE)
c. 7
d. 8
10. Steepest slope?
a. 0.4
b. undefined
c. 0.1
d. -1 over 7 (THIS ONE)
11. Flattest slope?
a. 7 over 9
b. 0 (THIS ONE)
c. undefined
d. 2 over 3
thanks!!!
I know 1 is correct
only 1 out of the 11?
1) The slope of a road is determined by the rise (vertical change) over the run (horizontal change). In this case, the rise is 11m and the run is 100m. To calculate the slope, we divide the rise by the run: 11 over 100.
2) Similarly, for a road with a rise of 5m and a run of 100m, the slope would be 5 over 100. However, in this case, you have selected the option 0.05, which is the decimal representation of the fraction 1/20. To convert between fractions and decimals, divide the numerator by the denominator. Therefore, the correct answer in fraction form is 5 over 100.
3) The grade of a road is the slope expressed as a percentage. To find the grade, we calculate the rise divided by the run and multiply the result by 100. In this case, the rise is 11m and the run is 100m. So, to get the grade, we divide 11 by 100 and multiply the result by 100, which gives us 11.
4) Following the same steps as in the previous question, the rise is 5m and the run is 100m. Dividing 5 by 100 and multiplying the result by 100 gives us a grade of 5.
5) To find the lowest terms of a ratio, we need to simplify it. In this case, the ratio is 9:27. The greatest common divisor (GCD) of 9 and 27 is 9. Dividing both numbers by 9 gives us the simplified ratio of 1:3.
6) The slope of a line is determined by the change in the y-coordinates divided by the change in the x-coordinates between two points. In this case, the points are (35, 27) and (35, 62). Since the x-coordinates are the same, the denominator of the slope will be zero, which indicates an undefined slope.
7) Similarly, when the two points have the same y-coordinate, as in (2, 17) and (9, 17), the change in the y-coordinates is zero. Therefore, the slope is 0.
8) To solve the equation 6 over x = 4 over 8, we cross multiply. This means we multiply the numerator of the left fraction by the denominator of the right fraction, and vice versa. This gives us 6 times 8 equals x times 4, which simplifies to 48 equals 4x. To isolate x, we divide both sides of the equation by 4, resulting in x = 12.
9) The slope of a line connecting two points, (x, 12) and (12, 9), is given as 1.4. To find x, we apply the slope formula (change in y divided by change in x) and equate it to 1.4. The change in y is 9 - 12 = -3, and the change in x is 12 - x. Therefore, we have -3 over 12 - x = 1.4. To solve for x, we multiply both sides of the equation by 12 - x, giving us -3 = 1.4(12 - x). Expanding this equation, we get -3 = 16.8 - 1.4x. Moving the terms around, we have 1.4x = 16.8 + 3, which simplifies to 1.4x = 19.8. Dividing both sides by 1.4 results in x = 10.
10) To determine the steepest slope, we look for the fraction with the smallest denominator. Among the options, -1 over 7 has the smallest denominator and is therefore the steepest slope.
11) Conversely, to find the flattest slope, we look for the fraction with the largest denominator. In this case, the option 0 has no denominator, which can be considered a fraction with an infinitely large denominator. Thus, it represents the flattest slope.