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harina [27]
2 years ago
15

A​ student's course grade is based on one midterm that counts as 20​% of his final​ grade, one class project that counts as 5​%

of his final​ grade, a set of homework assignments that counts as 35​% of his final​ grade, and a final exam that counts as 40​% of his final grade. His midterm score is 63​, his project score is 97​, his homework score is 85​, and his final exam score is 77. What is his overall final​ score? What letter grade did he earn​ (A, B,​ C, D, or​ F)? Assume that a mean of 90 or above is an​ A, a mean of at least 80 but less than 90 is a​ B, and so on. His overall final score is 297. ​(Type an integer or a decimal rounded to one decimal place as​ needed.)
Mathematics
1 answer:
Ludmilka [50]2 years ago
4 0

Answer:

  • 78
  • C

Step-by-step explanation:

The weighted average of the student's scores is ...

  0.20×63 +0.05×97 +0.35×85 +0.40×77 = 78

The student's overall final score is 78.

__

The letter grade earned is between 70 and 80, so is a C.

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The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.
Margaret [11]
Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3

Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4

Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2

So the three numbers are 2,-3, and 4.


5 0
3 years ago
3 to the 2 power plus (9-5)
QveST [7]

Answer:

{3}^{2}  + (9 - 5) \\  = 9 + 4 \\  = 13

3 0
2 years ago
Read 2 more answers
8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
3 years ago
What is the answer I'm so stuck this is so hard for dumb people like me helpppppppp
miskamm [114]
Well I don't remember the equation with all the numbrical stuff but if you times 5 and 5 than times 4 and 5 which is 25 and 20 take 20 away from 25 and you have your answer hope it helps
4 0
3 years ago
You eam (4x + 12) points after completing x levels of a video game and
EastWind [94]

Answer: (4x+12) - (2x-5)

Step-by-step explanation: The (4x+12) is positive and the (2x-5) is negative.

5 0
3 years ago
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