the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers

Answers

Answer 1

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

so

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189


Related Questions

ayuda porfavor cuanto es h+3cm=? y cuanto es b+4cm=? y cual seria el resustado de las dos calculacion

Answers

GOOD MORNING,

HAVE A GREAT DAY AHEAD

Find the slope (rate of change) of the representation. Please explain the answer.

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

    By looking at the table of values, you can see the x values are not changing. If these points were graphed, they would make a vertical line. Whenever this is the case, the line has an undefined slope.

    You can calculate the slope if graphing cannot be done by using the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-1}{-2-(-2)}\\m=\frac{3}{0}\\[/tex]

    Therefore, the slope of this representation is undefined.

If i have 30 Apples I Give 12 to My Friend And She Gives 7 to Her Grandma How Much Would I Have?

Answers

18 apples since YOU only gave 12 away

8. Every rhombus is a square 9. Every square is a rectangle 10. Every rhombus is a parallelogram 11. Every parallelogram is a rectangle​

Answers

I am simplifying the ven diagram :-

Every square is a Rhombus,Rectangle,Parallelogram,Quadrilateral.Every Rhombus is a Parallelogram and Quadrilateral.Every rectangle is a parallelogram and Quadrilateral .Every parallelogram is a quadrilateral .

Rob cuts a circular hole out of a rectangular piece of paper. The paper measures 20 centimeters by 30 centimeters. The hole is 10 centimeters in diameter. How much of the piece of paper, in square centimeters, is left over after the hole is cut out?

Answers

Answer:

521.25

Step-by-step explanation:

the circle is 78.75 in area and the square is 600 so 600- 78.75 = 521.25

Order each set of numbers from least to greatest.


PLZ HELP ASAP

Answers

Answer:

7. Ans ;

[tex] \frac{41}{3} < 14 < \sqrt{200} [/tex]

8. Ans ;

[tex]0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } [/tex]

Step-by-step explanation:

7. Ans ;

[tex] \sqrt{200} = 10 \sqrt{2} = 14.1 \\ 14 = 14 \\ \frac{41}{3} = 13.6[/tex]

So ;

[tex] \frac{41}{3} < 14 < \sqrt{200} \\ 13.6 < 14 < 14.1[/tex]

8. Ans ;

[tex] \frac{2}{3} = 0.66 \\ \sqrt{ \frac{9}{16} } = \frac{3}{4} = 0.75 \\ 0.6 = 0.6[/tex]

So ;

[tex]0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } \\ 0.6 < 0.66 < 0.75[/tex]

I hope I helped you^_^

Express the value of the following scientific notation of the normal in general number system
a). 2.7 X10 cube ​

Answers

Answer:

2.7*10³=2700

note if power positive you add '0s' to the back eg 10³=1000 if the power is negative e.g10^-3 add to the front and a decimal e.g 0.001

[tex]\\ \sf \longmapsto 2.7\times 10^3[/tex]

[tex]\\ \sf \longmapsto 27\times 10^{-1}\times 10^3[/tex]

[tex]\\ \sf \longmapsto 27\times 10^{-1+3}[/tex]

[tex]\\ \sf \longmapsto 27\times 10^2[/tex]

[tex]\\ \sf \longmapsto 27\time 100[/tex]

[tex]\\ \sf \longmapsto 2700[/tex]

A parabola is graphed below.



What is the equation in vertex form of this parabola?

A
y=2(x−2)2−3

B
y=2(x+2)2−3

C
y=12(x−2)2−3

D
y=12(x+2)2−3

thank you so much! please hurry <3

Answers

Answer:

B

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 2, - 3 ) , then

y = a(x - (- 2))² - 3 , that is

y = a(x + 2)² - 3

To find a, substitute any point on the graph into the equation

Using the coordinates of the y- intercept (0, 5 )

5 = a(0 + 2)² - 3 ( add 3 to both sides )

8 = a(2)² = 4a ( divide both sides by 4 )

2 = a

y = 2(x + 2)² - 3 → B

Jennifer is saving money to buy a bike. The bike costs $239. She has $127 saved, and each week she adds
$16 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.

Answers

7 weeks. Total cost is 239 minus 127 she has saved leaves 112 more she needs to save. 112 divided by 16 a week is 7 weeks until she has enough money.

Answer: 7 weeks

Step-by-step explanation:

16X + 127 = 239

16X = 239 - 127

16X = 112

X = 112/16

X = 7

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.

Answers

Answer:

0.34134

Step-by-step explanation:

in other to solve for this question we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = standard deviation

the question tells us to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

from tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134

Which statement illustrates the distributive property?

Answers

Answer:

If this is a numerical equation that you need, than here is an example: 2(6x+5)

or, if you ae not using variables, 2(6+5)

Step-by-step explanation:

In both cases the 2 is the number being distributed. This means that 2 is being multiplied by both 6x and 5 (or 6 and 5).

the product of 7 and the quotient of 40 divided by 5 is​

Answers

The quotient of 40 and 5

40÷5=8

=> Product of that number with 7 and 8

So number to find is : 7x8=56

The product of 7 and the quotient of 40 divided by 5 is 56.

What is the quotient?

The quotient is the result which is derived by the division of two numbers.

For example, the quotient of 30 divided by 3 is 10.

What is the product of two numbers?

The product is the multiplication of two numbers which is written as a*b.

For example, the product of 8 and 9 is 72.

Here given we have to calculate the product of 7 and the quotient of 40 divided by 5.

The quotient of 40 divided by 5 is 40/5= 8

The product of 7 and The quotient of 40 divided by 5= 7*8= 56

Therefore the product of 7 and the quotient of 40 divided by 5 is 56.

Learn more about quotient

here: https://brainly.com/question/673545

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A. 0.002
B. 0.02
C. 0.2
D. 2.1

Answers

Answer:

0.02

Step-by-step explanation:

X has 10 boxes and when divided by 100 is equal to 0.1. Y is 2 boxes so just divide it by 100 and you get 0.02.

Solve for x.
X + 10
2x - 50

x = [?]

Answers

Answer:

x +10 = 2x-50

x-2x = -50-10

-x. = -60

-x/-1 = -60/-1

x = 60°

A dinner at a restaurant was advertised at $60 plus 18% tax. The total bill for this dinner was​

Answers

Answer:

xjjvbbbnhzxb hai jhfVbfxkdXhxx

In 2000, U.S. Airways burned about 115 litres of fuel per passenger. In 2014 that dropped
to 90 litres of fuel per passenger. What is the percentage reduction in fuel used? Give you
answer to the nearest whole percentage.

Answers

Answer:

22% reduction

Step-by-step explanation:

Find the percent decrease by dividing the difference in amounts by the original amount.

Find the difference:

115 - 90 = 25

Divide this by the original amount:

25/115

= 0.217

So, the percent decrease is 21.7%. Round this to the nearest whole percentage:

= 22

The percent reduction in fuel used was approx. 22%

Let A represent the average value of the function f(x) on the interval [0,6]. Is there a value of c for which the average value of f(x) on the interval [0,c] is greater than A?

Answers

Answer:

The average value of the Function f(x) by squeeze theorem states that no extreme or greater value will exist within the designated area for f(x)

9x square divided by 3x​

Answers

9x^2/3x

= 3x

...................

Answer:

3x

Step explanation:

[tex]\frac{9x^{2}}{3x}=\frac{3*3*x*x}{3*x}=3x[/tex]

Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - is the spray foam costs $3.15 per cubic meter, how much will it cost Mary to get her whole attic done?

Answers

Answer:

D 1,433.25

Step-by-step explanation:

1/2(10)(7)=35

35*13=455

455*3.15=1,433.25

Answer:

D

Step-by-step explanation:

You need to find the volume of the attic (I would find the surface area myself -- but this is math. You just have to obey the rules of the question no matter how silly).

The Volume is found by V = B * h1

The base is a triangle.

b = 7 m

h1 = 10 m

Area = 1/2 * 7 * 10

area = 35 m^2

The volume of the attic is

V = B * h

V = 35 * 13

V = 455 m^3

The cost = cost /m^3  * m^3

m^3 = 455

Cost = 3.15 * 455

Cost = 1433.25

HELPPP MEEEE PL………zzzzzz

Answers

Answer:

VW=6

Step-by-step explanation:

UW=VW+UV

5x=(5x-4)+(2x)

5x= 7x-4

7x-5x=4

2x=4

x=4/2=2

VW=5x-4=5(2)-4=10-4=6

I hope I helped you^_^

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!

Answers

Answer:

so the simplest way to find the volume of water is by dividing into different....objects

so when dividing you create a rectangular box that has length of 12 width of 14.5 and height of 5 and another rectangular box with length of 7 (19-12) width of 4 and height of 5

now calculate the volume of each box and add them up

v = length x width x height

box 1 = 12 x 14.5 x 5 = 870 ft^3

box 2 = 7x4x5 = 140

now smash them up together = 870+140=1010ft^3

hope that answers your question

HELP ME PLEASEEEE

TAXI RATES A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. Write an expression for the cost of the ride
if you travel x miles in the taxi with no traffic delays.

Answers

Step-by-step explanation:

C(x) = 2.50 + 5(0.40x)

<=> C(x) = 2.50 + 2.00 x

The required expression for the taxi charges is C(x) = $2.50 + 0.4  * x/5.

Given that,
A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. To determine an expression for the cost of the ride, if travel x miles in the taxi with no traffic delays to determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of miles be x,
The total charge be C(x)
Now accoding to the condition total charge could be the sum of the cost of every fifth mile and $2.40. So, every fifth mile = x / 5
Now,
C(x) = 2.40 + 0.40 * x/5

Thus, the required expression for the taxi charges is C(x) = $2.50 + 0.4  * x/5.

Learn more about arithmetic here:

brainly.com/question/14753192

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Table 8 shows the values of two variables, x and y, obtained from an experiment. Variables x and y are related by the equation y = a(1-6), where a and b are constants. Jadual 8 menunjukkan nilai-nilai bagi dua pembolehubah, x dan y, yang diperoleh daripada suatu eksperimen. Pembolehubah x dan y dihubungkan oleh persamaan y=a(1-6)", dengan keadaan a dan b ialah pemalar 1 2 3 4 5 2.19 3.61 y 5.50 8.32 12.51 20.42 Table 8 Jadual 8 (a) Based on Table 8, construct a table for the values of log.ny. Berdasarkan Jadual 8, bina satu jadual bagi nilai-nilai logo y. [1 mark] [1 markah] (6) Plot logio y against x, using a scale of 2 cm to 1 unit on the x-axis and 2 em to 0.2 unit on the logo y -axis. Hence, draw the line of best fit [3 marks]​

Answers

Answer:

TABLE 8

Step-by-step explanation:

the total number of snares of stock in the Bulls Corporation is 650,000. Tyier owns 12% of the shares. How many shares of the Bulls Corporation stock does he own?​

Answers

Answer:

650000/12% and in fraction 650000devide by 12% you will get 541.`6

In this 3x3 square, you can use only numbers from 1-9, to make all the rows and columns equal to 15. Good luck to the person solving this and just know that I and lots more people thank you for solving this!

Answers

Answer:

Hello,

Step-by-step explanation:

The well-known magic square. (first apparition in China).

Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)

We are going to put successively the number from 1 to n² (here n=3)

We imagine that the square is put on a sphere;

We begin in the middle of the last line where we put 1

ICI:

We move in direction SE of one case and put le next number

until we reach of multiple of n

After have reached a multiple of n, we move verticaly of one case

and we go to ICI until we reach n²

square of 5x+1 by 5x.Please help mee​

Answers

the answer would be 25x^3-1

BRAINLIEST

Write the equation of the line that passes through the points (5,3)(5,3) and (-7,-1)(−7,−1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

y+1=(x+7)/3

Step-by-step explanation:

slope = (-1-3)/(-7-5) = -4/-12 = 1/3

b = 3-(1/3)×5 = 4/3

y = mx+b

or, y = x/3+4/3

its point slope form,

y = x/3+4/3

or, y=(x+4)/3

or, y+1=(x+4)/3+1

or, y+1=(x+4+3)/7

or, y+1 =(x+7)/3

The equation of the line that pass thought the given points will be y+1 =(x+7)/3.

What is slope?

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the data in the question,

Slope = (-1-3)/(-7-5)

= -4/-12

= 1/3

b = 3-(1/3) × 5

b = 4/3

As per the expression for slope,

y = mx+b

y = x/3+4/3

Now, point in slope form

y = x/3+4/3

y=(x+4)/3

y+1=(x+4)/3+1

y+1=(x+4+3)/7

y+1 =(x+7)/3

This is the expression for the line.

To know more about slope:

https://brainly.com/question/3605446

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A5cm x 11 cm rectangle sits inside a circle with radius of 12 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
5 cm
12 cm
11 cm
cm?
PLS HELP ME FOR 17 POINTS

Answers

Answer:

397.16 cm²

Step-by-step explanation:

Area of the circle = πr²

3.14 * 144 = 452.16

452.16 - (11 x 5 ) = area shaded region

452.16 - 55 = 397.16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the sum of
5
5
5
5

and
2
9
2
9

in simplest form. Also, determine whether the result is rational or irrational and explain your answer.

Answers

Answer:

5555+2929

= 8484

its an irrational no.

thanks

Let f(x)=x^2+3x-4 and g(x)=x+5. Find f(x)•g(x)

a. x^3+3x^2+16x-20
b. x^3+5x^2+14x-20
c. x^3-8x^2+11x-20
d. x^3+9x^2+19x-20

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

none of them is correct. Option c would have been correct if it was +8x² instead of -8x².

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