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Marat540 [252]
3 years ago
6

Tate scored 5 points higher on his midterm and 13 points higher on his final than he did his first exam. If his mean score was 9

0 what was his score on the final exam?
Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0

Answer:

Juan scored 84 points on his first exam.

Step-by-step explanation:

---- ASSUMPTIONS: First Exam = X Midterm Exam = X + 5 Final Exam = X + 13 Mean Average Score for the 3 exams above = 90 ---- SOLUTION: 90 = [X + (X + 5) + (X + 13)] / 3 90 * 3 = [X + (X + 5) + (X + 13)] 270 = 3X + 18 270 - 18 = 3X 252 = 3X 252 / 3 = X 84 = X Conclusion: Juan scored 84 points on his first exam. (See below for proof) ---- PROOF: First Exam = X = 84 Midterm Exam = X + 5 = 89 Final Exam = X + 13 = 97 Mean Average of 90 points --> [84 + 89 + 97] / 3 = 270 / 3 = 90

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Point m lies between points l and n on line segment l n . the space between l and m is 10 x 8. the space between m and n is 5 x
Ivenika [448]

The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

<h3>What is the length of line segment?</h3>

Length of a line segment is the distance of both the ends of it.

Point m lies between points l and n on line segment l n .

  • The space between l and m is 10x 8.
  • The space between m and n is 5x -4.

The value of line segment LN is,

LN = 12x +16

The sum of LM and LN is equal to the line segment LN. Thus,

LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4

Put this value of x in the equation of line segment LN,

LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Learn more about the line segment here;

brainly.com/question/2437195

7 0
2 years ago
How do i convert 91/10 to a mixed number
geniusboy [140]
The fraction 91/10 is equivalent1 to 9 1/10.
This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (91) is greater than the absolute value of the bottom number or denomintor (10). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (9) and proper fraction (1/10).
<span>The fraction 91/10 is equal to 91÷10 and can also be expressed in decimal form as 9.1.</span>
7 0
3 years ago
I NEED AN EXPERT ON SURFACE AREAS..Ill give extra points and brainless​
natta225 [31]

Answer:

60 is the area

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
What is the vertex of the quadratic function f(x)=(x-6)(x+2)
Neporo4naja [7]

Answer: ( 2, -6 )

Step-by-step explanation:

rewrite y= (x-6)(x+2) in the form y=ax^2+bx+c

Y=(x-6)(x+2)

(x-6)(x+2): x^2-4x-12

y=x^2-4x-12

the parabola params are :

a=1, b= -4, c=-12

x^v=-(-4)/ 2*1

x^v=2

y^v=-16

5 0
3 years ago
Solve 19cos θ = 5 cos θ + 14 for all values of θ if θ is measured in radians.
Bas_tet [7]

Answer:

Ф=xπ, x={0,+∞}

Step-by-step explanation:

be 19cosФ=5cosФ+14 → 19cosФ-5cosФ-14 → 14cosФ-14=0 → cosФ=1

then,  values for which cosФ=1 are Ф=0º=360º=720º........., but the values of Ф  must be radians, so Ф=xπ, where x∈Z, not including the negative numbers,

x={0,1,2,3,....∞}

Note: π≅3.141592

when calculating the values, it must be done in radian mode

6 0
3 years ago
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