Thomas took three 100-point quizzes, and the mean score for the three quizzes was 87 points. If the highest score is taken away, the mean of the remaining two scores would be 83.5 points. If the lowest score is taken away, the mean of the remaining two scores would be 89 points. What is the highest score?

Answers

Answer 1

Answer:

The highest score is 94.

Step-by-step explanation:

Let the highest score be denoted by, A, the lowest score be, B and the middle score be X.

Then,

A + X + B = 87 × 3 = 261 ...(i)

X + B = 83.5 × 2 = 167 ...(ii)

⇒ B = 167 - X ...(iii)

A + X = 89 × 2 = 178 ...(iv)

⇒ A = 178 - X ...(v)

Substitute (iii) and (v) in (i) and solve for X as follows:

A + X + B = 261

178 - X + X + 167 - X = 261

345 - X = 261

X = 84

Substitute the value of X in (iii) and solve for B as follows:

B = 167 - X

   = 167 - 84

   = 83

Substitute the value of X in (v) and solve for A as follows:

A = 178 - X

   = 178 - 84

   = 94

Thus, the highest score is 94.


Related Questions

WILL MARK BRAINLIEST. Find my mistake and explain how you would fix it. I’ve included step numbers so you can describe where the step is in the solution path.

Answers

Answer:

2 errors in step 3 -15 + 7 = -8 not +22

also a negative devided by a postive is a negative (the x on the last step)

Step-by-step explanation:

Please help, which expression is equivalent to....

Answers

Answer:

a

Step-by-step explanation:

solve b
3b / 7-1 = 5

Answers

Answer:

b= 2 over 7

Step-by-step explanation:

exact form b= 2 over 7

decimal form b= 0.285714

The tables show the statistics of a running back in a football game did he gain more than 50 yards total? Explain .

Answers

Answer:

He gained more than 50 yards in the game.

Step-by-step explanation:

Running back in the first quarter in a football game = -8.5 yards

Running back in second quarter = 23 yards

Running back in 3rd quarter = 42.5 yards

Running back in 4th quarter = -2.25 yards

Total gain in the game = -8.5 + 23 + 42.5 - 2.25 = 54.75 yards

That means he gained more than 50 yards in the game.

(b) Factorise fully.
10x²+6x

Answers

Answer:

2x(5x + 3)

Step-by-step explanation:

Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.

Note the factors of both 10 & 6:

10: 1 , 2 , 5, 10

6: 1 , 2 , 3, 6

Note that the greatest factor shared is 2. Divide 2 and x out from both terms:

(10x² + 6x)/2x = 5x + 3

2x(5x + 3) is your answer.

~

There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)

Answers

Answer:

196 students are going on the field trip

Step-by-step explanation:

Y = 98% * 200

Converting percent to decimal:

p = 98%/100 = 0.98

Y = 0.98 * 200

Y = 196

I hope this helps

Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.

Answers

Answer:

gdgdgdgdgddggddggdgddggd

Step-by-step explanation:

Prime numbers have ________.

Composite numbers have ________.

The number 1 is ________.

Answers

Answer:

1:eaxctly two factors  2:more than two factors  3:neither prime nor composite

Step-by-step explanation:

I GOT IT RIGHT!

Answer:

Answer time!!

1. exactly 2 factors

2. more than 2 factors

3. niether prime nor compisite

A radio station sells buttons and bumper stickers at a local fair the buttons cost $2.95 each and the bumper stickers cost three dollars and 50 Cent each new radio station sells the most for $162 worth of buttons and bumper stickers if it’s represents the number of buttons and white represents the number of button bumper stickers which equality represents the scenario

Answers

Answer:more information plssss

Step-by-step explanation:

Image included this problem requires no work pls help 20 POINTS

Answers

Answer:

The slope is 2 and the y-intercept is -2. a)

Step-by-step explanation:

Hope this helps!!!!!

Find the value of x.

Answers

Answer:

x=55

Step-by-step explanation:

you have to add the three angles to get 180 first. 180- 21-34=125.

then take the missing angle inside the triangle (125) and subtract by 180.

180-125=55

Answer:

x = 55

Step-by-step explanation:

We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.

21+34+y = 180

55+y = 180

y = 125

Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.

180-125 = 55

So your final answer will be x=55, hope this helped!

please answers soon and answer correctly.

Answers

C .....Hope I helped .

A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.

A 2-column table with 9 rows. Column 1 is labeled number of free throws made with entries 0, 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Probability with entries 0.002, 0.008, 0.04, 0.12, 0.23, 0.28, 0.21, 0.09, 0.02.

What is the standard deviation of the distribution?

1.18
1.40
1.96
2.58

Answers

Answer:

its b

Step-by-step explanation:

just took the quiz

Answer:

standard deviation of the distribution is 1.40

Step-by-step explanation:

I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?

Answers

Answer:

your numnber is 15

Step-by-step explanation:

3x-3=n

nx=90

nx=90

(3x-3)x=90

3x^2-3x=90

x=6

3x-3=n

3(6)-3=n

18-3=n

15=n

Help! I already tried -6.6/20

Answers

Answer: 0.33 or 1.32 or 6.6%

Step-by-step explanation:

I’ll give brainliest I need help

Answers

Answer:

1, -1, -3, 3

Step-by-step explanation:

f(x) = 2x-1

f(1)=2*1-1 = 2-1 = 1

f(0) = 2*0 - 1 = -1

f(-1) = 2* -1 -1 = -2-1 = -3

f(2) = 2 * 2 -1 = 4-1 =3

15 - 5k ≥ 0
solve the inequality

Answers

Start by adding 15 to both sides
15 + 15 will cancel out
15 + 0 = 15
After you are left with just 5k and 15
Divided 5 on both sides of the inequality
5k/5 ( this will cancel out)
15/5 = 3
Bring down the k & inequality sign

Final Answer :

The solution is, the value of the inequality is, 3  ≥ k.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

15 - 5k ≥ 0

now, we get,

Start by adding 15 to both sides

15 + 15 will cancel out

15 + 0 = 15

After you are left with just 5k and 15

Divided 5 on both sides of the inequality

5k/5 ( this will cancel out)

15/5 = 3

Bring down the k & inequality sign

3 - k  ≥ 0

adding k on both side,

3  ≥ k

Final Answer : 3  ≥ k

To learn more on inequality click:

https://brainly.com/question/12189350

#SPJ2

HELP ME WITH QUESTION 8 EASY 10 POINTS

Answers

Answer: 9

Step-by-step explanation:

fat help me fast help

Answers

false because the mountain was created with the North not the South plate.

What is the reciprocal of 6 1/5

Answers

Answer:

0.16129032258   or maybe just 0.161

Step-by-step explanation:

WHO CAN HELP ME ITS DUE IN 5 minutes!

A line passes through the point (-10, 2) and has a slope of 1/2
Write an equation in slope-intercept form for this line.

Answers

We have to find b first: 3 = -3/2(10)+b3 = -15+b18 = bNow right the equation, your slope will be the same one....Y = -3/2x + 18

More

perform the operation (9x^2+7x-6)-(3x^2-8x+7)

Answers

Answer:

6x^2 + 15x - 13

Step-by-step explanation:

Combine Like Terms

9x^2 - 3x^2 = 6x^2

7x - (-8x) = 15x

-6 - 7 = 13

Write Equation

6x^2 + 15x - 13

What is the difference between a frown and a smile? Describe what a relaxed face looks like

Answers

Answer:

Both are facial expressions bu a frown is with the eyebrows together and forehead wrinkles and usually the person is wooried or sad and a smile is formed primarily by flexing the muscles at the sides of the mouth.

Step-by-step explanation:

determine 3,000,000,000 is how may times the value of 15,000,000 in standard form and scientific notation.

Answers

Answer:

200 times and 2x10^2

Step-by-step explanation:

I hope this helps ( ps love the Killua Profile pic !)

Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of the line
as follows.

What was her Mistake?
She Mixed Up the slope and the y-intercept.

She got the sign of the slope wrong.

She git the sign of the y-intercept wrong.

She found reciprocals of the slope and the y-intercept.

ASAP Please Right Answer

Answers

Answer:

She got the sign of the slope wrong

Step-by-step explanation:

She did [tex]\frac{-4y}{-4} = \frac{-2-15x}{-4}[/tex] and turned that into [tex]\frac{-2}{-4}-\frac{-15x}{-4}[/tex], which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.

Please mark brainliest if this helped you!

Answer:

she got the sign of slope wrong

Step-by-step explanation:

took test on edg

Lucy and Cody were playing a board game. They rolled a die 142 times. An even number was rolled 56 times. A one was rolled 21 times. A three was rolled 34 times. How many times was a five rolled? Select the correct equation to solve. A. 142 - 56 - 21 + 34 = t B. 142 - 56 - 21 - 34 = t C. 142 + (56 - 21) + 34 = t Solution:

Answers

Answer:

[tex]Five = 31[/tex]

Step-by-step explanation:

Given

[tex]Total = 142[/tex]

[tex]Even = 56[/tex]

[tex]One = 21[/tex]

[tex]Three = 34[/tex]

Required:

Number of times 5 were rolled

Even represents 2, 4 and 6.

So, we have:

[tex]Total = Even + One + Three + Five[/tex]

[tex]142 = 56 + 21 + 34 + Five[/tex]

[tex]142 = 111 + Five[/tex]

Collect Like Terms

[tex]Five = 142 - 111[/tex]

[tex]Five = 31[/tex]

HELP ME ASAP PLEASE AHHHH

Answers

Answer:

A

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

Whole numbers are natural numbers from 0 to infinity. This does not include decimals or fractions. For example, these numbers are 0, 1, 2, 3, 4...

Integers are whole numbers, but they include negative numbers. So, from negative infinity to positive infinity. This does not include decimals or fractions. For example, these numbers are ... -3, -2, -1, 0, 1, 2, 3 ...

A rational number is any number that can be expressed as a fraction. So, this includes -7.5, as -7.5 can be expressed as -[tex]\frac{15}{2}[/tex].

Therefore the answer is -7.5.

a- b for
for a= (-7) and b = 30

Answers

Answer:

-37

Step-by-step explanation:

-7-30

=-37

You are adding the negatives therefore, you will get a larger number of negatives.

Answer = -37

you would have to plug the numbers given.

“A” would now be (-7) “B” would now be (30) = (-7)-30 = -37

reason it equals a negative is because a positive & a negative = a negative

Find the missing terms: 19, _, _, _, -13

Answers

Answer:

-5,3,11

Plus 8 or subtract 8

Step-by-step explanation:

-13 + 8= -5

-5+8= 3

3+8=11

11+8=19

or

19-8=11

11-8=3

3-8=-5

-5-8= -13

Hope that helps :)

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish.

Answers

Answer:

The tanks by volume per fish from least to greatest:

Tank C, Tank A, Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

Order the tanks by volume per fish from least to greatest.

Tank A holds 40 L and 5 fish.

= 40L/5 fishes

= 8 volume per fish

Tank B holds 100 L and 12 fish

= 100L/12 fishes

= 8.3333333333 volume per fish

Tank C holds 180 L and 23 fish.

= 180L /23 fish

= 7.8260869565 volume per fish

The tanks by volume per fish from least to greatest

Tank C, Tank A, Tank B

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