Five whole numbers are written in order.
4 6 х у
10
The mean and median of the five numbers are the same.
Work out the values of x and y.

Answers

Answer 1

Answer:

x = 7, y = 8

Step-by-step explanation:

Given numbers in order:

4, 6, x, y, 10

The mean is same as median.

The median is x as middle number. Since x is a whole number, the mean is also a whole number.

x and y can be selected from 7, 8 or 9 (numbers between 6 and 10).

The mean is:

(4 + 6 + x + y + 10)/5 =(20 + x + y)/5 = 4 + (x + y)/5

It should be a whole number, so (x + y) should be divisible by 5.

The option is (7 + 8) = 15, and 9 is excluded.

Let's verify:

Median = x = 7Mean = 4 + (7 + 8)/5 = 4 + 3 = 7
Answer 2
4,6,x,y,10

Mean:-

[tex]\\ \sf\longmapsto \dfrac{4+6+x+y+10}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}[/tex]

Median:-

n=5M(D)=n+1/2=5+1/2=3rd term

[tex]\\ \sf\longmapsto M(D)=x[/tex]

Compare

[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}=x[/tex]

[tex]\\ \sf\longmapsto x+y+20=5x[/tex]

[tex]\\ \sf\longmapsto 4x=y+20[/tex]

[tex]\\ \sf\longmapsto x=y/4+5[/tex]

[tex]\\ \sf\longmapsto x[/tex]

Take pair of (7,8)

[tex]\\ \sf\longmapsto 7=8/4+5\implies 7=2+5[/tex]

Verified

Hence

x=7y=8


Related Questions

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Choices for the first blank :
(SSS)
(SAS)
(AAS)
(ASA)
(AAA)
(SSA)
(HL)

Second blank choices :
Can be proven or cannot be proven congruent

Answers

Answer:

They are congruent by HL

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

2 right triangles.

Hypotenuse and 1 leg are congruent.

PLEASE HELP, DUE TOMORROW

Answers

so hope it goes well but the answer is 11

These tables of ordered pairs represent some points on the graphs of lines p and r.

Which system of equations is represented by lines p and r?


9x−4y=−92x+4y=15

3x−y=−127x+3y=21

2x−y=−82x+y=7

x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3

Answers

Answer:

The answer above mine is correct and here is why.

Step-by-step explanation:

Please rate this answer choice 5 stars and leave a thanks, You do not need an acount  to do this.

hey guys can u check my answers, if you see one thats not correct pls correct me!

Answers

Answer:

b. 300 c. 18 d. 30

Step-by-step explanation:

b. 400/4=100, 100*3=300

c.0.3*10=3, 3*6=18

d.0.75*10=7.5, 7.5*4=30

Answer:

B C and D are incorrect

Step-by-step explanation:

1/2 • 13 is 6.5

3/4 • 400 = 300

(0.3)•60 = 18

(0.75) • 40 = 30

Brainliest please

Which equation has a value less than 2,175?

1 x 2,175 = ________
2 x 2,175 = ________
two halves x 2,175 = ________
one half x 2,175 = ________

Answers

one half x 2,175= 1087 so that is the correct answer.

4x+3+3=-2
help asappl

Answers

The answer to this equation is X=-2

Answer:

x  =  − 2

Step-by-step explanation:

what fraction is not equivalent to 2/6? 1/3, 12/36, 4/12, 6/9

Answers

Answer:

6/9

Step-by-step explanation:

1/3 is half 12/36 is 2×6 and 6×6 4/12 is 2×2 and 6×2 making 6/9 the odd one out as 6 can't go into 9 without making a decimal

help it’s due monday number 12

Answers

Answer:

a. 5

Step-by-step explanation:

Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:

[tex]3*15 = 45[/tex]

Sophia has 45 total pieces of candy.

If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:

[tex]45[/tex] ÷ [tex]9=5[/tex]

Therefore, each party bag will have 5 pieces of candy in it.

Answer:

A. 5

Step-by-step explanation:

A, since you can follow these steps:

First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.

In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.

The result - from 3(15) - is 45 total pieces of candy.

Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).

So the result is 45/9, which then results in 5 pieces of candy for 9 guests.

I hope this helped a bunch! Tell me if you need any further assistance...

( :

heeeeeyyyyy someone can aswer plz? Thx

Answers

Answer:

b)

x=65+32 [ being ext. angle of triangle is equal to the sum of two opposite interior angle]

therefore x=97°

what is the decimal of 967.567

Answers

Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

x+3y-xy=3
x^2+y^2+xy=3

Answers

Answer:

Y = 1

Step-by-step explanation:

on a graph this would be a circular shape and y= 1

Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.

Answers

Answer:

whaat?

Step-by-step explanation:

Order from greatest to least: 3.008,3.825,3.09,3.18

Answers

Answer:

G: 3.825

3.18

3.09

L: 3.008

Step-by-step explanation:

G is greatest, L is least.

Hope this helps!

Pls solve this question

Answers

C) (0,-3) as makes the inequality true

The verticies of a triangle are formed by the intersections of 3 lines: y=x x=6 y= -1/3x +4 (graph it please. also it's due in like 15 minutes so please hurry)

Answers

Would appreciate brainly <3

If 40 hours is a full work week and any thing over 40 is overtime or time and a half. If u worked 50 hours one week, and 55 hours the second week how much would ur pay check be

Assuming u make 15 dollars a hour for normal pay?

Answers

Answer:

first week would be $750 second week would be $825

If your pay is every two weeks it would be $1575

Step-by-step explanation:

PLS HELP!!!!!!! I AM GIVING BRAINLIEST!!!!!

Select the correct images.
Select the parent function and its graph.

Answers

Answer:

The answer in image one is f(x)=2x     Left

The answer in image two is f(x)=x       Center

the answer in image three where right       Right

Answer:

The answer is f(x) = x. Its the second graph.

Step-by-step explanation:

16.3 divided 90

pls answer...

Answers

Answer:

Calculator

Step-by-step explanation:

Fraction: 163/900

Decimal: 0.1811111

20x29 devided by 9+20=?



help​

Answers

Answer:

20

Step-by-step explanation:

[tex] \frac{20 \times 29}{29} = 20[/tex]

Answer:

20X29 devided by 9+20=84.4444444444

2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)

Please explain

Answers

Answer:

x = 1

y = -3

Step-by-step explanation:

There are 2 ways, in this case the best way is by substitution so:

y = x - 4

y = -3x

basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.

y = -3x

so that means that

-3x = x - 4

you solve the equation:

-3x - x = -4

-4x = -4

x = -4 : -4

x = 1

Now we know that x is 1 so now we find out what is y

y = 1 - 4

y = -3

Determine if the statement is true or false.
Justify your response.

If one vertex of a slope triangle is at (0,0), the other vertex on the line will be the point that represents the simplified unit rate or slope

Answers

The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).

Explain about the Slope triangle?

A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.

The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.

This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.

To learn more about Slope triangle refer to:

https://brainly.com/question/24820338

#SPJ2

How many 6 are in two

thirds

Answers

it’s 4 6ths.

goodluck

Liquid nitrogen is -196°C. What is the difference in temperature between the liquid
nitrogen and the frozen meal temperature (-18°C)?

Answers

Answer:

the state the item is in such as liquid nitrogen is frozen air and frozen meals are ice solid.

Step-by-step explanation:

3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23

Answers

Answer: (7,3)

Step-by-step explanation:

[Please check]:   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

Algebra:

Add the two equations:

  3x-4y=9

−5x+4y=-23

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

Graphing:

See the attached graph.  The lines intersect at (7,3)

helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

£120

Step-by-step explanation:

original_price = discounted_price / (1 - discount / 100)

78/(1-35/100)=120

-8/9 - (2 1/3)
show all your work

Answers

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

9i⋅(−4−7i) Your answer should be a complex number in the form a+bi where a and b are real numbers.

Answers

Answer:

see below

Step-by-step explanation:

here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63

A queen-sized mattress is 20 inches longer than it is wide. A king-sized mattress is
16 inches wider that the queen-sized mattress but has the same length. The area
of the king sided mattress is 1,280 square inches more than that of the
queen-sized mattress. Determine the dimensions (length and width) of both the
king-sized and queen sized mattresses.

Answers

Answer:

queen's width = 60 in

queen's length = 80 in

king's width = 76 in

king's length = 80 in

Step-by-step explanation:

-queen's wide = ???

-same length = queen's wide + 20

king size:

-king's wide = queen's wide + 16

-same length = queen's wide + 20

queen's area = x

king's area = x + 1280

area = width * length

let's call queen's width and king's width "qw" and "kw" respectively

let's call queen's length and king's length "ql" and "kl" respectively

Q area:

qw * (qw + 20)

qw² + 20qw = x

K area:

(qw + 16) * (qw + 20) = x + 1280

qw² + 36qw + 320 = qw² + 20qw + 1280

qw² - qw² + 36qw - 20qw = 1280 - 320

16qw = 960

qw = 960 / 16

qw = 60

ql = 60 + 20

ql = 80

kw = 60 + 16

kw = 76

kl = ql

kl = 80

Blake delivers food for Uber eats. He charges customers a $3 delivery fee plus $0.25 per mile. Write a function that can be used to find t, the total Blake would charge if he delivered food that is m miles away

Answers

The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.

From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.

Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:

= 3 + (0.25 × m)

= 3 + 0.25m

In conclusion, the function is 3 + 0.25m.

Read related link on:

https://brainly.com/question/25767370

The maximum land speed of a cheetah is about 120km/hour.
What is this speed limit, rounded to the nearest whole number, in m/s?

Answers

Answer:

  33 m/s

Step-by-step explanation:

  120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s

_____

Additional comment

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.

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