The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight numbers?

Answers

Answer 1

Answer:

Step-by-step explanation:

X/8 = 5

X = 40

Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.

Answer 2

The average of a given number is the sum of the given numbers divided by the number of numbers in the given set.

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

Example:

2, 3, 4, 5

The average number of 1, 2, 4, and 5 is 3.

i.e 12 ÷ 4 = 3

We have,

The average of eight different numbers is 5.

Let the sum of 8 different numbers be M.

Average = M / 8

5 = M / 8

M = 8 x 5

M = 40

Now,

If 1 is added to the largest number.

This means,

40 + 1 = 41

The resulting average of the eight numbers:

= 41/8

= 5.125

Thus,

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

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Related Questions

solve this please this equation

Answers

Answer:

x = 80 degrees

Step-by-step explanation:

Draw a line through DG and name the intersection of that line and line AB as K.

By the same side interior angle theorem, GKC is 40 degrees.

By the sum of interior angles of triangle theorem, CGK is 180-70=110 degrees.

By supplementary angle theorem, x = 80 degrees.

List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Answers

Answer:

<N=<T

<P=<Q

<O=<R

<M=<S

Step-by-step explanation:

they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.

When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?

Answers

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the patio that Mr.Jones is building?

Answers

38.4 is the area. it’s 8.5 ft long so you do 8.5x2 and you get 17, and then for 10.7 you do 10.7x2 and get 21.4, then you add 21.4 and 17 together.

Answer:

90.95

Step-by-step explanation:

Simplify. −3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Answers

Answer: -29.9x+37.6

Step by step answer: Use PEMDAS rule

−3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Use the distrubitive property

-6.3x+20.16+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

-6.3x+20.96−5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Reorder/group x's and whole numbers

-6.3x-5.5x-6.3x-5.5x-6.3x+20.96+20.16-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92+1.6

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-3.52

-11.8x-6.3x-5.5x-6.3x+41.12-3.52

-18.1-5.5x-6.3x+41.12-3.52

-23.6x-6.3x+41.12-3.52

-29.9x+41.12-3.52

-29.9x+37.6

A triangle and a square are drawn on dotty paper with dots 1 cm apart. What is the area of the region coloured red? ​

Answers

Answer:

≈ 0.9 cm²

Step-by-step explanation:

I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.

F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.

Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,    

F(x,2)

(2-3) / (x-1) = -2/3            

2x-2 = 3       x = 2.5          

*F (2.5 , 2)

G (3,y)

(y-3) / (3-1) = -2/3     y = 5/3      

*G (3 , 5/3)

*point I (3 , 2)

segment FI = 3-2.5 = 0.5 = 1/2

segment GI = 2 - 5/3 = 1/3

area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083

area of polygon  DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²

A cylinder with a diameter of 10 inches and a height of 12 inches. Determine the area of the cross section formed by slicing the cylinder down the center and perpendicular to the bases.

Answers

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

What is a cylinder?

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

The diameter of the cylinder, d = 10 inches

The height of the cylinder, h = 12 inches

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.

So, the length of the rectangle, l = 12 inches.

The breadth of the rectangle, b = 10 inches

The formula for the area of the rectangle is A= l × b

⇒ [tex]A=12[/tex] × [tex]10[/tex]

⇒ [tex]A=120[/tex]

Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

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Two angles of a quadrilateral measure 215° and 70°. The other two angles are in a ratio of 2:13. What are the measures of those two angles?

Answers

The sum of the interior angles of a quadrilateral is 360°.

The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.

Now, solve for x.

[tex]\mathfrak{215+70+2x+13x=360} [/tex]

[tex]\mathfrak{285+15x=360} [/tex]

[tex]\mathfrak{15x=360-285} [/tex]

[tex]\mathfrak{15x=75} [/tex]

[tex]\mathfrak{x=\dfrac{75}{15}} [/tex]

[tex]\underline{\mathfrak{x=5}} [/tex]

So,

2x = 2(5) = [tex]\boxed{\mathfrak{10^{\circ}}} [/tex]

13x = 13(5) = [tex]\boxed{\mathfrak{65^{\circ}}} [/tex]

[tex]\mathbb{MIREU} [/tex]


find the area enclosed by the figure

Answers

Answer:

2677 mi^2

Step-by-step explanation:

Think the shape as an complete rectangle :

The area of the rectangle is calcluated by multiplying height*width

(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:

12*29 = 348 mi^2 the area of the figure:

3025 - 348 = 2677 mi^2

Determine whether the following relation is a function. Then state the domain and range of the relation or function.
{(5,0), (4, -6), (0, -3), (3,4), (1,1);
Is this relation a function? Choose the correct answer below.
O A. Yes, because each first component corresponds to more than one second component
O B. No, because each first component corresponds to exactly one second component.
O C. Yes, because each first component corresponds to exactly one second component.

Answers

Answer: A

It is a function and no x values repeat .  If the x values repeat more than then it's not a function.

the question is what is 4p - 9

Answers

Answer:

4xp-9

Step-by-step explanation:

(a) 95% of what is 57?

(b) What number is 35% of 40?

Answers

Answer:

a=54.15 and b=14

Step-by-step explanation:

Measurements should ALWAYS include units in conversion problems?



A. True



B. False

Answers

The answer would be

A. True

22% of x is 26.4 Find X

Answers

Answer:

x=120

Step-by-step explanation:

this is obtained by finding 22% of x, and equating it to the answer as shown below

x *22/100 = 26.4

22x/100 = 26.4

22x = 2640

x =120

2-6² +4 2

please help it's review for my finals ​

Answers

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?

Answers

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

24. Solve for x: 3x - 2(x - 4) = 5(2x + 4) -3

Answers

x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]

[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]

[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]

[tex]\mathrm{Combine\: like\: terms}[/tex]

[tex]x+8=5\left(2x+4\right)-3[/tex]

[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]

[tex]x+8=10x+17[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]x+8-8=10x+17-8[/tex]

[tex]x=10x+9[/tex]

[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-10x=10x+9-10x[/tex]

[tex]-9x=9[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]

[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]

[tex]\bold{x=-1}[/tex]

Mr Moore has 4 types of ice cream flavors. Each flavor can make 15 individual ice creams. 70% of these ice creams are in waffle cone. How many of these ice creams are in a waffle cone?

Answers

Answer:

42 ice creams in a waffle cone

Step-by-step explanation:

First we try to find how many ice cream does Mr. Moore has:

4*15=60 ice cream

It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.

Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?

Answers

Answer:

y = 75x + 650

So I think it's linear.

PLEASE HELP WILL MARK BRAINIEST!!!!!!!

Answers

Answer:

Option a is the best method with compass and straight edge.

Step-by-step explanation:

Question 3 help pls

Answers

Answer:

< greater than

Step-by-step explanation:

u need to turn each one into decimals than find out which ones greater that's how you'll get your answer

Answer: The answer would be D

The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to make 32 photocopies?

Answers

Answer:

26.2

Step-by-step explanation:

Answer:

$3.16

Step-by-step explanation:

0.6+0.08n

Since n represents photocopies, then we replace n with 32.

0.6+0.08(32)

Now we multiply.

0.6+2.56

Finally, add.

0.6+2.56=3.16

So, Clayton will have to pay $3.16 to make 32 photocopies.

-hope it helps

help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing

Answers

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

also read similar questions: Solve the expression and find the value of x. [tex] \frac{x⁠…

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Can some one help me solve this x+3/2+3x/7 = 7

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pls help. I dont really understand these problems. fraction area and perimeter

Answers

Answer:

Perimeter: 14 9/10 cm

Area: 11 7/10 cm^2

Step-by-step explanation:

First, you must find the perimeter of the rectangle. The definition of perimeter in terms of mathematics are: the continuous line forming the boundary of a closed geometric figure. To find the perimeter of any shape, you must add up all the sides. Thus:

2 1/4 + 2 1/4 + 5 1/5 + 5 1/5 = ?

To put it simpler -

2(2 1/4 + 5 1/5) =

4 5/10 + 10 4/10 =

14 9/10 cm

Then, you must find the area of the rectangle. The definition of the area are: the extent or measurement of a surface or piece of land. In other words, the amount of space an object takes up. You must multiply the length and width of the rectangle to find the area.

Formula of area:

A = L x W

A = 2 1/4 x 5 1/5

A = 9/4 x 26/5

A = 234/20

A= 11 7/10 cm^2

To sum it up, the perimeter of the rectangle is 14 9/10 cm and the area 11 7/10 cm^2.

PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft​

Answers

Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]

Identify the explicit formula for the sequence given by the following recursive formula:
(see picture below)

A) f(n) = 2 – 4(n – 1)
B) f(n) = –4 + 2(n – 1)
C) f(n) = 4 – 2(n – 1)
D) f(n) = –2 + 4(n – 1)

Answers

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

A student received scores of 85 and 78 on the first two exams. All exams have a maximum score of 100. What are the possible scores the student could receive on the third exam so that the average of the three exams is at least 80Write your answer in interval notation

Answers

Based on the information given, the student should score at least 77 in the last exam.

Since the student wants to get an average of at least 80. Therefore, the total scores should be:

= 80 × 3 = 240

The student received scores of 85 and 78 on the first two exams. The addition of this will be:

= 85 + 78 = 163

Therefore, his score in the last exam should be:

= 240 - 163

= 77

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Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = x - 1 ← equation of line

The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.

Answers

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

Given the system of equation;

x + 2y = 11 2x + 3y = 18

This equation can be represented in matrix form as [tex]AX = b[/tex]

where:

A is the coefficient of  the matrixX is the variablesb is a column matrix

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

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Use the image to solve for t,

Please and thank you!

Answers

Answer:t = 25.Step-by-step explanation:

Since the two triangles are congruent, we can square the triangle's side to find 't'.

=> 5² = t = 25=> 4² = s = 16=> 3² = 9Conclusion:

Therefore, t equals 25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

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