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

Which inequality is represented by this graph?

Answers

Answer: C

Step-by-step explanation:

I invest £2,000 at a rate of 5% compound interest. I leave the amount 5 years. How much will I have after 5 years?​

Answers

Answer:

£10,000 at a rate of 5%

Answer:

£10,000

Step-by-step explanation:

£2,000x5= £10,000

HELP!! Check the following sets that are closed under the given operations!!!!

Answers

Answer:

DONDODA

Step-by-step explanation:

convert .932 into a fraction

Answers

Answer:

932/1000

Step-by-step explanation:

To write .932 as a fraction you have to write .932 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

.932 = .932/1 = 9.32/10 = 93.2/100 = 932/1000

And finally we have:

.932 as a fraction equals 932/1000

Answer:

923/1000

im not sure if this is right -

Step-by-step explanation:

what is 6 x 10(2) aka 6 x 10 to the second power

Answers

Answer:

3600

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

[tex]6\cdot \:10^2[/tex]

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

[tex]\mathrm{P-Parentheses}$\\$\mathrm{E-Exponents}$\\$\mathrm{M-Multiply}$\\$\mathrm{D-Divide}$[/tex]

Calculate the exponents

[tex]10^2[/tex]

[tex]10\cdot10=100[/tex]

[tex]6\cdot100=600[/tex]

7. Write a 4 digit number that is divisible by 2, 3, and 6.

Answers

Answer:the answer is 9998.

Step-by-step explanation:

The largest 4 digit number divisible by 2 . The number should be divisible by 2 or multiple of it. So the largest 4 digit number is 9999 it is not divisible by 2 so the earlier number 9998 can be considered so as it is divisible by 2. It is the answer is 9998.

Answer:

1008 is the correct answer (i think)

Step-by-step explanation:

1008/2 is 504

1008/3 is 336

1008/6 is 168

hope this helps!

Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices From smallest to largest: ∠B, ∠C, ∠A x = 49 m∠C = 56 m∠A = 99 (4x + 16) = 180

Answers

Answer:

m∠C = 56 and (4x + 16) = 180

Step-by-step explanation:

The sum of angle in a triangle is 180, hence:

<A+<B+<C = 180

Given

<A = 2x+1

<B = x

<C = x+15

Substitute

2x+1+x+x+15 = 180

collect like terms:

2x+x+x+1+15 = 180

4x+16 = 180

4x = 180-16

4x = 164

Divide both sides by 4

4x/4 = 164/4

x = 41°

Since <A = 2x+1

<A = 2(41)+1

<A = 82+1

<A = 83

<B = x = 41

<C = x+15

<C = 41+15

<C = 56

Based on the calculation above, the true statements are:

m∠C = 56 and (4x + 16) = 180

Which of the following represents a dilation that is a reduction with a scale factor larger than 0.5?

A(x, y) → (0.3x , 0.3y)
B(x, y) → (0.8x , 0.8y)

Answers

Answer:

B

Step-by-step explanation:

i  had this question before lol

Enter the value of the underlined digit.
6.53
The value of the underlined digit is
Cual es el dígito del 3

Answers

Answer:

hundredths

Step-by-step explanation:

The length of cell A is

3×10−5

m. The length of cell B is

0.000001

m. What is the ratio of cell​ A's length to cell​ B's length?

Answers

Answer:

b´s length is 10

Step-by-step explanation:

Greta uses 2 ounces of pasta to make 2 5 of a serving of pasta. How many ounces of pasta are there per serving?

Answers

Answer:

5 ounces if you meant 2/5 of a serving is 2 ounces of pasta

Step-by-step explanation:

Answer:

2divided by 2/5 equals 1/5

Step-by-step explanation:

I'm not 100% positive 91%

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Answers

Answer:

Noice

plz make me brainliest uwu

Answer:

yes. I agree.

Step-by-step explanation:

A washer and a dryer cost combined $664 The washer costs $36 less than the dryer. What is the cost of the dryer?

Answers

Answer: 350?

Step-by-step explanation:

664-36=628

628 divided by 2= 314 (cost of the washer)

314+36= 350

Hope this helps!

I need helpppp (plz) :((

Answers

Answer:

Step-by-step explanation:

8x + 3 = 5.

Simplify.

+ 3 to 5.

-3 - 5 = -2.

Divide -2 to 8x.

= -4.

A) Perimeter is -4.

B) Area is 8x + 3 = 5.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Sean made $1115 during a 5 day work week. He made
$465 on Monday and the rest was split between the
other 4 days. How much money did he make on each
of the other 4 days?

Answers

Answer:

Step-by-step explanations:

given g(x)=-3x-4 what is the x value when g(x)=2

Answers

Answer:

x= -2

Step-by-step explanation:

2= -3(x)-4

6= -3x

-2= x

(2x + 5)(2x + 1)
What is the area as a sum when given as a product?

Answers

Answer:

i really have no clue what ur asking so i will solve this the way i know how to

Step-by-step explanation:

4x^2+12x+5

4x+6 hope this helps

If f(x) = -5x + 17, then
find the value of
f(10),f(-4), and f (0)

Answers

Answer:

you plug those numbers into the equation

Step-by-step explanation:

f(x) = -5x + 17

f(10) = -5(10) + 17 = -50 + 17 = - 33

what is 6 1/8 minus 2 1/12

Answers

Answer:

4 1/24

Step-by-step explanation:

Answer:

the answer is 7/12 you welcome

Complete the process of solving the equation. Fill in all missing terms and select all missing descriptions. Simplify any fractions. 11a+2=9a+4 2a+2=4 Add 9a to both sides Subtract 9a from both sides Multiply both sides by 9a Divide both sides by 9a Apply the distributive property 2a= Subtract 2 from both sides a= Divide both sides by 2

Answers

Answer:

11a + 2 = 9a + 4 ( Subtract 9a from both sides)

11a - 9a + 2 = 9a - 9a + 4

2a + 2 = 4 (Subtract 2 from both sides)

2a + 2 - 2 = 4 - 2

2a = 2 (Divide both sides by 2)

2a/2 = 2/2

a = 1

Step-by-step explanation:

Simplify any fractions.

11a + 2 = 9a + 4

2a + 2= 4

We simplify as shown below

11a + 2 = 9a + 4 ( Subtract 9a from both sides)

11a - 9a + 2 = 9a - 9a + 4

2a + 2 = 4 (Subtract 2 from both sides)

2a + 2 - 2 = 4 - 2

2a = 2 (Divide both sides by 2)

2a/2 = 2/2

a = 1

Felipe and Makayla each tried to solve the same
equation for x.
Original equation: 2x + 6 = 3x - 8
The result of Felipe's first step was -x + 6 = 8.
Describe the first step Felipe made to the equation

Answers

Felipe subtract 3x from both side to get rid of x on one side. Ik this isn’t part of the answer but the correct way to do this would be to subtract 2x from each side after adding 8 to each side of the equation

Felipe in the first step shifted 3x from R.H.S. to L.H.S. as -

2x - 3x + 6 = 8

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the equation equating two functions as -

2x + 6 = 3x - 8

We have -

2x + 6 = 3x - 8

2x - 3x + 6 = 8

-x + 6 = 8

Therefore, Felipe in the first step shifted 3x from R.H.S. to L.H.S. as -

2x - 3x + 6 = 8

To solve more questions on functions, visit the link below -

brainly.com/question/26182329

#SPJ5

The aspect ratio of a television or movie

screen is the ratio of the width of the screen

to its height. A high-definition television

has an aspect ratio of 16:9. The movie

Star Wars was filmed in cinemascope,

which has an aspect ratio of 2.35:1. Are

these aspect ratios equivalent? Explain.

Hellppp

Answers

Answer:

The aspect ratios of both are not same

Step-by-step explanation:

Here, we want to check if the given ratios are equivalent.

So what we want to do here is to check if 16/9 is equivalent to 2.35:1

Mathematically; 16/9 is same as 1.78/1

We can see that 1.78/1 is not same as 2.35/1

Hence, the aspect ratios of both are not the same thing

Which statements are correct interpretations of this graph?
Select each correct answer. (multiple choice question)

A. 3 boxes are filled every 4 min.
B. 4 boxes are filled every 3 min.
C. 1.3 boxes are filled per minute.
D. 0.75 boxes are filled per minute.
(Graph down below)

Answers

Answer:

A

Step-by-step explanation:

[tex]\boxed{~ Hello!\; here's\; your \;answer!}[/tex]        

___________________________________________________________

                                                      [tex]\huge\boxed{A.}[/tex]

___________________________________________________________

           

A's Explanation...

The first point given is at 3 and 4. 3 is at "Boxes Filled" While 4 is at "Time (Min)". Therefore, your answer is A, 3 boxes are filled every 4 min.

___________________________________________________________

[tex]\boxed{Hope\;I\;helped!}\\\\\\\boxed{May\;I\;Have\;Brainliest?}\\\\\\\\\huge\boxed{Thanks,\;Plip.}[/tex]

___________________________________________________________



Mathematics, 04.12.2019 23:31, datboyjulio21

For 1992 through 1994, the per capita consumption of fish and shellfish in the

u. s. increased at a rate that was approximately linear. in 1992, the per capita

consumption was 14.7 pounds, and in 1994 it was 15.1 pounds."

36. write a linear model for the per capita consumption of fish and shellfish

in the u. s. let t represent the number of years since 1992.

37. what would you expect the per capita consumption of fish and shellfish

to be in 2002?

Answers

Answer:

The answer is below

Step-by-step explanation:

A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.

Let t represent the number of years since 1992, and P represent the per capita consumption of fish and shellfish in the U.S.

In 1992 (t = 0), the per capita  consumption was 14.7 pounds, this can be represented by (0, 14.7) while in 1994 (t = 1994-1992=2) it was 15.1 pounds this can be represented by (2, 15.1)

Using (0, 14.7) and (2, 15.1) we can get the equation of the line using:

[tex]P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)\\ \\P-14.7=\frac{15.1-14-7}{2-0}(t-0)\\ \\P-14.7=0.2t\\\\P=0.2t+14.7[/tex]

In the year 2002 (t = 2002-1992 = 10), the per capita consumption of fish and shellfish is:

P = 0.2(10) + 14.7

P = 16.7 pounds

A line has a slope of -Ź and passes through the point (-3, 8). What is the equation of the line?
y=-3x+6
y=-{x+8
o y = 6x - 2 / 2
y = 8x-

Answers

Step-by-step explanation:

y-b=m(x-a)

y-8=-Z(x--3)

y-8=-Z(x+8)

ILL GIVE BRAINLIEST IF RIGHT ASAP

Answers

Answer:

Everything with a dilation so B and E

Step-by-step explanation:

The second and last one, because dilations are only transformation that makes figures SIMILAR!

1. Find the values of the
angles x, y and z.
40°
25°
z
у​

Answers

Answer:

z = 40° (V. O. A)

Now find x

40 + 25 + x = 180(A. S. P)

65 + x = 180

x = 180 - 65

x = 115°

Now find y

x = y (V. O. A)

Y = 115°

So angles are

X = 115°

Y = 115°

Z = 40°

Hope this helps, have a great day, have a wonderful weekend and stay safe!

Also Happy Halloween! :) :D :3

A rectangles width is 13 more than its length. If the perimeter is 82 feet what is the length and width.

Answers

Answer:

Step-by-step explanation:

Lenght should be the greater here. I am considering your question however.

Let length side is 'x'.

The width side is 'x +13'

Perimeter of a rectangle : 2 ×( length + width)

given that perimeter is 82

2 × ( x + x + 13) = 82

2 × ( 2x + 13) =82

4x + 26 = 82

2x = 56

x = 28 cm

length is 28

width is 41

Now whats 5+4+9+10+8+0+10+23456+9?

Answers

Answer:

23,511

Step-by-step explanation:

im big brain

Over the past 6 seasons one baseball players average is for 0.238 0.289 0.263 0.302 0.285 and 0.319. Second player batting averages were 0.259 0.348 0.334 0.278 0.311 and 0.174 what are the range and mean of each players batting averages use your results take a player players batting skills

Answers

Answer:

First player

Range = 0.081

Mean = 0.283

Second player

range = 0.174

mean = 0.284

Step-by-step explanation:

Mathematically, range is highest value - lowest value while mean refers to the average ( sum of values/count of values)

For first player

Range = (0.319 - 0.238) = 0.081

Mean = (0.238 + 0.289 + 0.263 + 0.302 + 0.285 + 0.319)/6 = 0.283

For the second player;

Range = 0.348 - 0.174 = 0.174

mean = (0.259 + 0.348 + 0.334 + 0.278 + 0.311 + 0.174)/6 = 1.704/6 = 0.284

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