Answer:
Step-by-step explanation:
Total number of questions in the test is 80.
To receive a grade of A on the 80 question test, 90% of the questions must be answered correctly. It means that the number if questions that must be answered correctly would be
90/100 × 80 = 0.9 × 80 = 72.
Therefore, the maximum number of questions that can't be missed to still receive an A is 72
Answer:
(−1, –1.25), (5, –2.75)
Step-by-step explanation:
If "slope-intercept form" is mentioned, then we already know that the function rule is that of a straight line with slope m and y-intercept b.
As we go from (−1, –1.25) to (5, –2.75), x increases by 6 and y decreases by 1.50. Thus, the slope, m, is m = rise / run = -1.50 / 6, or m = -0.25 or -1/4.
Choosing one of the given points at random: (8, -3.5), we start with the slope-intercept form y = mx + b and substitute -1/4 for m, 8 for x and -3.5 for y: y = mx + b becomes -3.5 = (-1/4)(8) + b. Then -3.5 + 2 = b, or b = -1.5.
The desired equation is y = (-1/4)x - 3/2, or y = -0.25x - 1.5
Answer:
A C D
Step-by-step explanation:
Answer:
<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>
Step-by-step explanation:
At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.
The amount of pennies doubled each day. So the series is,
This series is in geometric progression.
As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,
where,
a = initial term = 1,
r = common ratio = 2,
As we have find the number of days that would elapse before she has a total of more than 90 trillion, so
Solution:
Formula of perimeter =
So, 2W + 2H = 32.4 ... (1)
Ratio = 5:4
So,
4W - 5H = 0 ... (2)
Solve equation (1) and (2).
W = 9.0 and H = 7.2
Use the Pythagorean theorem,
D = 11.52
D = 11.5
Hence, the measure of diagonal is 11.5 inches.