Answer:
5
Step-by-step explanation:
To obtain the total score for all the 20 students, we multiply the average score by the number hence
Total score for all 20 is 81*20=1620
Similarly, for the 19 students, the sum of their total score equals the product of the average and number of students hence
Total score for 19 readable is 19*85=1615
The difference between these two total scores ie for 20 and 19 students equals to the value of unreadable score. Therefore,
Difference=1620-1615=5
Therefore, the value of unreadable score is 5
Complete Question:
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.
1. y = 3x + b
2. y = mx + 9
Answer:
1. Intercept, b = -1
2. Slope, m = -2
Step-by-step explanation:
Given the following data;
Points on the line (x, y) = (2, 5)
To find the missing values;
Mathematically, the equation of a straight line is given by the formula;
y = mx + b
Where;
- m is the slope.
- x and y are the points
- b is the intercept.
1. y = 3x + b
Substituting the value of x and y, we have;
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
<em>Intercept, b = -1</em>
2. y = mx + 9
Substituting the value of x and y, we have;
5 = m(2) + 9
5 = 2m + 9
2m = 5 - 9
2m = -4
m = -4/2
<em>Slope, m = -2</em>
we can take a peek at two of those lines hmmm say y = 5x + 3 and y = 5x + 7.
let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.
since y = y then
5x + 3 = 5x + 7
3 = 7 what the?
well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?
it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.
Answer:
V = $1213.03
Step-by-step explanation:
We can determine the amount of money after 15 years with the given formula:
(1)
Where:
V: is the value of the account in t years =?
P: is the principal initially invested = $686
r: is the rate of interest = 3.8% = 3.8/100 = 0.038
t: is the time = 15 years
By substituting the above values into equation (1) we have:
Therefore, the amount of money is $1213.03.
I hope it helps you!
Answer:
W = 9600000 joules
Step-by-step explanation:
From the given information:
The area of the banner = 1/2 × 30 × 20 = 300 ft²
The mass of the banner = 300 × 50 = 15000 pounds
Now; the integral for the required work is:
here;
h = height of the building
F = mg = 15000g
g = 32 ft/s²
Therefore;
W = 9600000 joules
