In a group of five students who took the same test, four of the scores were 85, 92, 81, and 95. If the average of the five students was 89, what was the score of the fifth student?

Answers

Answer 1

Answer:

92

Step-by-step explanation:

89 x 5 = 445

85 + 92 + 81 + 95 = 353

445 - 353 = 92

Answer 2

The score of the fifth student is 92.

What is an average?

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Now it is given that,

Average of the five students = 89

Scores of four students = 85, 92, 81, and 95

Number of students = 5

Let the score of fifth student be x.

Average of the five students = scores of five students/Number of students

scores of five students =Scores of four students + score of fifth student

scores of five students = 85+92+81+95+x

scores of five students = 353+x

Average of the five students = (353+x)/5

⇒89 = (353+x)/5

or, 445 = 353+x

or, x = 445 - 353

⇒  x = 92

Hence, the score of the fifth student is 92

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Related Questions

The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 960 feet of fencing available, what is the maximum possible area of the pasture?

Answers

Answer:

Step-by-step explanation:

960/3. that's 320 a side. They said maximum, I'm guessing they just wanted you to use base times height as if it was a square, since I'm not seeing any other information. the maximum possible area would be, if the sides were 320 each would be 102,400 square feet. Maximum

Which equation has no solution? plsss helpppp

Answers

Answer:

Step-by-step explanation:

b

PLEASE HELPPPP ITS A GRADE

Answers

Answer:

A. It is not a function because 0 outputs multiple items

B. the domain seems to be 0,1,2,3

c.The range seems to be -2,1,2,4

Step-by-step explanation:

To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box? PLSSSSS HELLPPP

Answers

Answer:

4 goes in the box

Step-by-step explanation:

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let the value inside the box be 'y'. Then the equation is given as,

4x − 2 + y(2x + 4) = 2(6x + 7)

Simplify the equation, then we have

4x − 2 + y(2x + 4) = 2(6x + 7)

4x − 2 + y(2x + 4) = 12x + 14

y(2x + 4) = 8x + 16

y = 4(2x + 4) / (2x + 4)

y = 4

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

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There is a parade coming through town, the route is 2 miles long with 10 foot wide sidewalks along each side. If the crowd is approximately 5 people per 16 square feet, how many people are estimated to be watching?

Answers

Answer:

66 000 people

Step-by-step explanation:

Hi there !

1 mile = 5280 feet

2 miles = 2×5280ft = 10 560 feet

Area = 2(10560ft×10ft) = 2×105600ft² = 211200 ft²

How many people are estimated to be watching?

16 ft² ................ 5 people

211200 ft².........x people

x = 211200×5/16

= 1056000/16

= 66 000 people

Good luck !

Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?

Answers

Answer:120 minutes

Step-by-step explanation:

You see it's math

Answer:

110

Step-by-step explanation:

PLZ HELP FASTTTTTTTT​

Answers

for this one you basically just plug the numbers in the left column into the f(x) function.
1. 0
2. 4
3. 8
4. 12
5. 16
hope this helps!

PLS HELP! CLICK HERE!!!!!

Answers

Answer:

its 2

Step-by-step explanation:

bc i said so period

What values are the solutions for x2 + 2x = 8?

Answers

Answer:

x=4,-2 hope this helps!!

Step-by-step explanation:

Asppppp help Im taking a quixxxx

Answers

Answer: a, b, d

Step-by-step explanation: don’t count me on it

Answer:

B, D

Step-by-step explanation:

just find the common denominator and see if it works

-2x + 12 = -2(x – 6)

Answers

Answer:

true for all x

Step-by-step explanation:

-2x + 12 = -2(x – 6)

Distribute

-2x+12 = -2x+12

Add 2x to each side

12 =12

Since this is always true, there are infinite solutions

x is all real numbers

Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial

Answers

Answer:

1-2i

Step-by-step explanation:

complex roots come in conjugate pairs

Which ordered pairs are solutions to the equation 5x+12y = 12?
Select the correct answer below:
a. (0,1)
b. (7,-6)
c. (6,5)
d. (2,3)
e. none of the above

Answers

(0,1) Click on the image to see the answers

plz help. its easy brainliest

Answers

Answer:

ur welcome brainliesit pls

Step-by-step explanation:

6. x=2

7. x=3

8.x=-7

Multiply 2 3/4 x 1 1/3. Write your answer in simplest form

Answers

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4  *  1 1/3

= 12 / 4  * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

Need help with both 7 and 8

Answers

You are correct with both
7. Part 1: 15 mins x 7 days = 105 mins per week. Part 2: example- Veronica sold 15 cookies a day for 7 weeks, how many cookies did she sell? ( you just need to add the second part)
8. Part 1: 36 tables x 5 people = 180 people part 2: 288 divided by 36 = 8 people ( you got it right )

So what s the meaning for X and Y

Answers

The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.

C - x = r - d , for x

Answers

Answer:

x = C+d-r

Step-by-step explanation:

C - x = r - d

-x = r - d - C

x = -(r - d - C)

x = -r+d+C

x = C+d-r

Write the equation of the line containing point (-3, 2) and having a slope of 6.

Answers

Answer:

y + 2 = 6(x - 3)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

Simply plug in your known variables into the point-slope form to find your equation:

y₁ = 2

x₁ = -3

m = 6

y + 2 = 6(x - 3)

(x + 8)(x-8)
answer choices
A x2 + 8x + 64
B x²-64
C x² + 64
x2 + 16X - 64

Answers

Step-by-step explanation:

we know the formula(x^2-y^2)=(x+y)(x-y)

so (x+8)(x-8)=x^2-8^2=x^2-64

so the right answer is B

I need help on this..

Answers

Answer:

you divide the big number by the little number

Step-by-step explanation:

Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help

Answers

Answer:

9

Step-by-step explanation:

To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!

lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest​

Answers

Answer:

38

Step-by-step explanation:

see attached

17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?

Answers

Answer:

12.25,12.25,7

Step-by-step explanation:

Formula of Area of square= length x breadth

In a square all side are equal as we all know that which means if the Area of the square is [tex]49cm^{2}[/tex] if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)

The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem

(Hypotnuse)^2=(Length^2) x (Breadth)^2

we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so

(Hypotnuse)^2= (3.5)^2 x (3.5)^2

(Hypotnuse)^2=150.0625

Apply square root on both sides gives us

[tex]Hypotnuse = 12.25[/tex]

Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm

Spencer is 10 years old. His age is two years less than three times his sister's age. How old is Spencer's sister?

Answers

so she is 24
10-2= 8
8 x 3= 24

The age of Spencer's sister is 4 years old.

What is an Equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Spencer is 10 years old. His age is two years less than three times his sister's age.

Let the age of Spencer's sister be x

According to the question,

3x - 2 = 10

3x = 10 +2

3x = 12

x = 12/3

x = 4

Hence, The age of Spencer's sister is 4 years old.

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Which decimal number is equal to 18?


0.125

0.125¯¯¯¯¯

0.125¯¯¯¯

0.125¯

Answers

Answer:

if you mean 1/8 then its 0.125 (top choice)

Step-by-step explanation:

1/8=(1/4)/2=0.25/2=0.125

If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.


0.74 units
1.17 units
1.64 units
2.14 units

Answers

Answer:

2.14 units

Step-by-step explanation:

TO FIND AB:

sin 34=AC/AB

AB=AC/sin34=4/sin34=7.15

TO FIND AD:

sin 53=AC/AD

AD=AC/sin53=4/sin53=5.00

difference in length:

AB-AD=7.15-5.00=2.14 units

Answer:

the answer is 2.14 units

Step-by-step explanation:

took the test and got it right

Brainliest pls

Match the number with its opposite.

Match Term Definition
9.2 A) 2.9
−2.9 B) −9.2
−1.4 C) −4.1
4.1 D) 1.4

Answers

9.2 - B
-2.9 - A
-1.4 - D
4.1 - C

Explanation: the opposite of a number is the same number with the sign flipped

Answer:

9.2 - B

-2.9 - A

-1.4 - D

4.1 - C

Step-by-step explanation:hope this helps

A business owner wants to have the front row window.

Look at the photo please I will name Brainlyest

Answers

It’s 3
Y= Mx+b
119=19x+64
57=19x
3=x

Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag,



HURRY PLEASE

Answers

Answer:

B

Step-by-step explanation:

Option B best displays/showcases the equation of 6x = 4x +18

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