Chukwu, Abdul and kunle are to share $142, such that Abdul gets $11.00 less than Chukwu and $7.00 more than Kunle. How much is Chukwu's share?

Answers

Answer 1

Answer:

Chukwu's share is of $57.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Chukwu's share is x.

Abdul's share is y.

Kunle's share is z.

Chukwu, Abdul and kunle are to share $142

This means that [tex]x + y + z = 142[/tex]

Abdul gets $11.00 less than Chukwu

This means that:

[tex]y = x - 11[/tex]

$7.00 more than Kunle.

This means that:

[tex]y = z + 7[/tex]

So

[tex]z = y - 7[/tex]

[tex]z = x - 11 - 7[/tex]

[tex]z = x - 18[/tex]

How much is Chukwu's share?

We want to find x, so:

[tex]x + y + z = 142[/tex]

[tex]x + x - 11 + x - 18 = 142[/tex]

[tex]3x - 29 = 142[/tex]

[tex]3x = 171[/tex]

[tex]x = \frac{171}{3}[/tex]

[tex]x = 57[/tex]

Chukwu's share is of $57.


Related Questions

Samantha thought of a number N, divided it by 5, and add 4. Then she told the result R to Kelly. Find the domain and range of this function.

Answers

The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]

The number N thought by Samantha divided by5 is expressed as;

[tex]\dfrac{N}{5}[/tex]

If the result is added to 4 and stored as R, then;

[tex]R = \dfrac{N}{5}+4[/tex]

This gives the required result

The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]

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Need help ASAP plz

Answers

Answer:

C) postulate

An axiom or a postulate is an accepted statement of fact.

OAmalOHopeO

Answer:

Im pretty sure its definition

Use inductive reasoning to predict the next three numbers in the pattern.
9 ,3 ,1 ,1/3, 1/9
Predict the next three numbers in the pattern.

Answers

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]

[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]

[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id

Answers

Answer:

72

Step-by-step explanation:

The diameter is 24

pi is approximated by 3

The circumference is given by

C = pi *d

   = 3 * 24

    = 72

I don’t know what to write but ye I need help with this question. Thanks

Answers

Answer: the first table.

Step-by-step explanation:

The terms in the domain (x) should have only one range (y)

Answer:

A) x: -3, 0, -2, 8

    y: -1, 0, -1, 1

Step-by-step explanation:

Function has only one output for each input.

OAmalOHopeO

Find two numbers whose sum is sixty eight and whose difference is twenty two

Answers

Answer:

45 and 23

Step-by-step explanation:

Let x equal the first number and y equal the second number.

We can set the following equations up with our information:

[tex]x+y=68[/tex]

[tex]x-y=22[/tex]

Adding the two equations together, we get:

[tex]2x=90[/tex]

Dividing by two, we receive [tex]x=45[/tex]

We can plug this into our first equation to get [tex]45+y=68[/tex].

Subtracting 45 from both sides, we get [tex]y=23[/tex].

The two numbers are 45 and 23, solved using system of equations.

What is a system of equations?

A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.

How to solve the question?

In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.

We assume the two numbers to be x and y.

The sum of the two numbers is given to be 68.

This can be shown as an equation, x + y = 68 ... (i).

The difference of the two numbers is given to be 22.

This can be shown as an equation, x - y = 22 ... (ii).

Equations (i) and (ii) together makes a system of equation in the variables x and y.

To solve for the system of equation, we add (i) and (ii), to get:

x + y = 68

x - y = 22

_________

2x  = 90,

or, x = 45.

Substituting x = 45 in (i), we get:

x + y = 68,

or, 45 + y = 68,

or, y = 23.

Thus, the two numbers are 45 and 23, solved using system of equations.

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Find the perimeter of the square. Be sure to write the correct unit in your answer.


21 yd

Answers

Perimeter is the distance around the outside.

A square has 4 equal sides:

Perimeter = 21 x 4 = 84 yards

Answer: Perimeter = 84 yd

Explanation:

Perimeter of square = 4 × side

Side = 21 yd

Perimeter = 4 × 21

= 84 yd

Must click thanks and mark brainliest

Given two consecutive integers whose sum is 45, find the smaller of the two integers.

Answers

Answer:

22 and 23

Step-by-step explanation:

let two consecutive number be

x and x+1

now,according to the question

x+x+1=45

or,2x=45-1

or,2x=44

or,x=44/2

:-x=22

Hence, the two consecutive numbers are

22 and 23

Write a short account on farmer with the help of statement given, it says that the Indian farmer is born in dept lives in dept and die in dept.
plese help. need help.

Answers

Answer:

sir Malcolm darling

Step-by-step explanation:

he has said Indian farmer is born in dept lives in dept and die in dept.

Deandre can run 5 miles in 30 minutes.
How many minutes per mile is that?

Answers

6 minutes per mile.

As in, 30/5= 6

Answer:

Deandre can run 1 mile in 6 min

Step-by-step explanation:

PLEASE FAST lenear equations

Answers

Answer:

y = 43

Step-by-step explanation:

(y-4)/3 = (y+9)/4

4(y-4) = 3(y+9)

4y-16 = 3y+27

4y-3y = 27+16

y = 43

What do you get if subtract the sum of -1451 and 1267 from the sum of 1146 and -2172?​

Answers

Answer:

-3502 is your answer

Step-by-step explanation:

hope it will help you

Answer:

-842

Step-by-step explanation:

We should find the sum of -1451 and 1267 and the sum of 1146 and -2172.

-1451 + 1267 = 1267 - 1451 = -184

1146 + (-2172) = 1146 - 2172 = -1026

Then we subtract -184 from -1026.

-1026 - (-184) = -1026 + 184 = -842

Given A(-4,8), D(-7,4), and H(-3,1), plot the points, and
trace the triangle.

Answers

Answer:

See attached

Step-by-step explanation:

The points are plotted and connected to make a triangle

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(-4,8){\circle*{0.3}}\put(-7,4){\circle*{0.3}}\put(-3,1){\circle*{0.3}}\qbezier(-4,8)(-4,8)(-3,1)\qbezier(-4,8)(-4,8)(-7,4)\qbezier(-7,4)(-7,4)(-3,1)\end{picture}[/tex]

Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Answers

Answer:

[tex]x * (x - 2) = 143[/tex]

Where [tex]x = 13[/tex]

Step-by-step explanation:

Given

[tex]x (x - \_) = 143[/tex]

Required

Complete the blank

The complete question implies that the product include 2 consecutive odd numbers.

Two numbers whose products equal 143 are: 11 and 13

i.e. [tex]11 * 13 = 143[/tex]

So, we have:

[tex]x * (x - \_) = 13 * 11[/tex]

By comparison, we have:

[tex]x = 13[/tex]

[tex]x - \_ = 11[/tex]

Collect like terms

[tex]\_ = x - 11[/tex]

Substitute 13 for x

[tex]\_ = 13 - 11[/tex]

[tex]\_ = 2[/tex]

So, the complete equation is:

[tex]x * (x - 2) = 143[/tex]

Where [tex]x = 13[/tex]

Answer:

2

and

13

Step-by-step explanation:

Got it right on edge.

write an inequality and show on a number line all numbers greater (-3) but less than equal to3

Answers

Answer:

-3<x<_3

You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.

Step-by-step explanation:

1) Let f be the function defined by the
graph shown at right, with y = f(x).
a) What is the value of f(-9)?
-14-13-12-)1-10-9
10 11 12
b) How many solutions are there to
the equation f(x) = -2? (Just
state how many there are.)
c) State any and all intervals on which fis decreasing
d State any and all values of x for which fax>0. Ilse intervals to do this

Answers

I think it’s C I hope this helps

Find the distance between (3, −7)
and (4, 1). Write your answer using a radical sign.

Answers

Answer:

sqrt(65)

Step-by-step explanation:

To find the distance between the two points

d = sqrt(  (x2-x1)^2+ (y2-y1)^2)

   = sqrt( (4-3)^2 +(1 - -7)^2)

    = sqrt( 1^2 + (1+7)^2)

    = sqrt( 1+8^2)

    = sqrt(1+64)

sqrt(65)

Given Points

( 3 , -7 ) x = 3 and y = -7( 4 , 1 ) x = 4 and y= 1

Using Formula

[tex] \large\begin{gathered} {\underbrace{\boxed{ \bf {\red{Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \: (y_2 \: - \: y_1) ^{2} } }}}}}\end{gathered}[/tex]

Substuting the values

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ \bigg(4 \: - \: 3 \bigg) ^{2} \: + \: \bigg(1 \: - \: [ - 7 ]\bigg) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ (1) ^{2} \: + \: (1 \: + \: 7 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 1 \: + \: (8 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 65 }[/tex]

[tex]\Large \purple \diamond \: \: \underbrace {\rm {{{\color{blue}{Distance \: = \: \sqrt{65} }}}}} \: \: \purple \diamond[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A vegetable tray contains 10 red peppers and 4 green peppers. What is the ratio of the number of green peppers to the number of yellow peppers?
A. 4:0
B. 2:5
C. 2:7
D. 4:10

Answers

Answer:

4 : 0

Step-by-step explanation:

10 red and 4 green

There are 0 yellow peppers

green: yellow

4 : 0

who can help me out with this one?​

Answers

Answer:

(x + 1)² + (y - 2)² = 9

Step-by-step explanation:

Equation of the circle with center (h, k):

(x - h)² + (y -k)² = r²  where r is radius

Center(-1 , 2) ;  r =3

(x - [-1])² + (y - 2)² = 3²

(x + 1)² + (y - 2)² = 9

Which polygon has an interior angle sum of 1080°?

Answers

Answer:

its octagon. first and last one it has total 8 sides

The polygon with an interior angle sum of 1080° is an octagon

A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?

Answers

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.


The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP

Answers

Answer:

A. 75.40 m³

Step-by-step explanation:

Diameter of cylinder (d) = 4 m

Radius (r) = ½(d) = ½(4) = 2 m

Height (h) = 3 × r = 3 × 2 = 6 m

Volume of cylinder = πr²h

Substitute the values

Volume of cylinder = π*2²*6

Volume of cylinder = π*4*6

Volume = π*24

Volume = 75.40 m³

factorize: xy-3x - 5y + 15

Answers

Answer:

Step-by-step explanation:

xy-3x-5y+15

x(y-3)-5(y-3)

(y-3)(x-5)

Rewrite this equation in the form y = ax + b.
2y = 4x - 8
Enter the correct answer.
OOÐ
DONE
Clear all
ĐOO
?

Answers

Answer:

y = 2x -4

Step-by-step explanation:

2y = 4x - 8

Divide each side by 2

2y/2 = 4x/2 - 8/2

y = 2x -4

Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1

Answers

Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years

Answers

For the first one, simplify the radicals. The 3 root 8 can be rewritten as 3 root 4 root 2, which turns into 6 root 2. The 4 root 3 can’t be simplified, so just multiply. 6*4=24 and the root 2*root 3 turns into root 6. So your answer for the first one is 24 root 6.

For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.

find the third proportional of 3 5 7

Answers

Answer: Third proportion is 21/5.

Step-by-step explanation:

Let the proportion be x

so,

3:5:x:7

so

3:5 = x:7

or, 3/5 = x/7

or, 21 = 5x

or, x = 21/5

ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Answers

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

Insert known equations.

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

Simplify within parentheses.

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

Add.

[tex]4x-18=[4x+8]/2[/tex]

Divide.

[tex]4x-18=2x+4[/tex]

Simplify.

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

Divide both sides by 2.

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

BC = 23AD = 26EF = 29

make x the subject of the formula x(a-b)=a(b-x).​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]x(a-b)=a(b-x)\\\\x(a-b)=ab-ax\\\\x(a-b)+ax=ab\\\\x(a-b+a)=ab\\\\x(2a-b)=ab\\\\\\x=\dfrac{ab}{2a-b} \ if\ 2a-b\neq 0[/tex]

Answer:

[tex]{ \sf{x(a - b) = a(b - x)}} [/tex]

Open the brackets:

[tex]{ \sf{ax - bx = ab - ax}} \\ { \sf{2ax - bx= ab }}[/tex]

Factorise out x:

[tex]{ \sf{x(2a - b) = ab}} \\ { \sf{x(2a - b) = ab}} \\ { \sf{x = \frac{ab}{2a - b} }}[/tex]

can i get some help please

Answers

Answer:

28.26

Step-by-step explanation:

We want to find the area of the circle shown.

We can calculate the area of a circle using the formula A = πr²

where r = radius

The circle shown has a given diameter of 6

We want the radius.

To convert diameter to radius simply divide the measure of the radius by 2

So radius = 6 / 2 = 3

Now to find the area we simply plug in the value of the radius into the area of a circle formula

Area of a circle: A = πr²

r = 3

( Note that the question says to use 3.14 for π )

So π = 3.14

* Substitute values *

A = (3.14)(3)²

3² = 9

(3.14)(9) = 28.26

A = 28.26

And we are done!

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