the sum of two numbers is 21 . 3/4 of one of the numbers added to 2/3 of the other numbers added to 2/3 of the other gives a sum of 15. find the two numbers

Answers

Answer 1

The numbers are 15 and 9 .

Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real  or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.

Let us consider one of the given numbers be x .

Given the sum of the numbers is 21

therefore the other number = 21 - x

Now it is given that  [tex]\frac{3}{4}[/tex] of 1 number and [tex]\frac{2}{3}[/tex] of another number adds up to 15 .

∴ [tex]\frac{3}{4}[/tex] of x =  [tex]\frac{3}{4}x[/tex]  and  [tex]\frac{2}{3}[/tex] of another number =  [tex]\frac{2}{3}\times(21-x)[/tex]

Now the sum of the two new numbers is given as 15.

∴ [tex]\frac{2}{3}\times(21-x) +\frac{3}{4}x =15[/tex]

[tex]or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12[/tex]

So the other number is 21-12 = 9 .

Hence the two numbers are 15 and 9 .

To learn more about number visit:

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Related Questions

Is there a triangle whose angles have these measures in degrees?
A) Yes
B) No

Answers

Answer:

No

Step-by-step explanation:

The sum of all internal angles on a triangle must equal 180°

[tex]28 + 64 + 100 = 192[/tex]

Subtract 2.53 x 105 from 1.3 x 108​

Answers

Answer:

125.2 is your answer dear

Answer:

Step-by-step explanation:

2.53 x 105 is 265.65

1.3 x 108​ is 140.4

now, Subtract 2.53 x 105 from 1.3 x 108​

140.4 - 265.65

= -125.25

Hope this helps

plz mark as brainliest!!!!!!

In 2016 Jane was 14 years old. At that time she was 7 times as old as her brother, Jim. In what year will Jane be twice as old as Jim will be then?

Answers

Answer:

Step-by-step explanation:

Mary will be twice as old as her brother when the age of her brother is equal to the ... Add this value of 8 to Mary's & her brother's present age. ... In three years time I will be half my brother's age. ... In 4 years, she will be four times as old as her son was 9 years ago

PLEASE HEEEEELLLPPPPP ILL GIIVE YOU BRAINLIEST

Answers

Answer:

your answer will be c

and distributive property for the second one

Step-by-step explanation:

the answer should be D for both, correct me if i'm wrong

Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.

Numbers: 7, 8, 5, 6

You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(​

Answers

7*8-6+5=55

6*5+7+8=45

5*7+8+6=49

I will continue in the comments

1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF
THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD
TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15
INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED
"SCALE- 2 /9".
WHAT IS THE LENGTH OF THE RAILROAD CAR ON HE LONG ISLAND RAILROAD?
WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?

Answers

Answer:

Length = [tex]57.5\ \text{inches}[/tex]

Width = [tex]18\ \text{inches}[/tex]

Step-by-step explanation:

The scale of the toy train is [tex]\dfrac{2}{9}[/tex]

So, the dimensions of the toy train is [tex]\dfrac{2}{9}[/tex] times the actual dimensions of the train.

The dimensions of actual train is [tex]\dfrac{1}{\frac{2}{9}}=\frac{9}{2}[/tex] times the toy train's dimensions.

Length

[tex]15\times \dfrac{9}{2}=57.5\ \text{inches}[/tex]

Width

[tex]4\times \dfrac{9}{2}=18\ \text{inches}[/tex]

The length of the railroad car on the long island railroad is 57.5 inches.

The width of the railroad car on the long island railroad is 18 inches.

Melanie deposits $8200 in a bank account paying 4.4% simple interest. How much money will be in her account after 5 years and 6 months?

Answers

Answer:

8200+1894.40 = $10,094.40

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

Where:

P is the principal amount, $8200.00.

r is the interest rate, 4.4% per year, or in decimal form, 4.4/100=0.044.

t is the time involved, 5.5....year(s) time periods.

So, t is 5.5....year time periods.

To find the simple interest, we multiply 8200 × 0.044 × 5.5 to get that:

The interest is: $1984.40  + add to Investment ($8000) and you'll get the answer.

An element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?

Answers

9514 1404 393

Answer:

  43.2 grams

Step-by-step explanation:

The exponential equation for the decay can be written as ...

  amount remaining = (initial amount)(1 -decay rate)^t

  = 570(1 -0.18)^t

We want to find the amount remaining after 13 minutes. Evaluating this equation for t=13, we have ...

  amount remaining = 570(0.82^13) ≈ 43.2 . . . grams

Find the unit rate. Round your answer to the nearest hundredth.
3500 calories for 6 servings of pie

Answers

3500cals/6 servings

583 1/3 cals per serving.

583 calories per serving.

CAN SOMEONE HELP THIS IS DUE

Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?

Answers

Answer:

His time in mph is 16.1 mph

HURRY PLEASE HELP Missy borrowed $5900 for seven years at an annual rate of 8%. What is the TOTAL AMOUNT that Missy will need to pay after 7 years? (principal AND interest)

Answers

Answer: $5933.04

Step-by-step explanation:

Principal = $5900

Rate = 8%

Time = 7 years

Simple interest = PRT/100

= (5900 × 8% × 7)/100

= (5900 × 0.08 × 7) / 100

= 3304/100

= $33.04

Total amount = Principal + Interest

= $5900 + $33.04

= $5933.04

Solve 4q = 52
Q=
Which statement shows the correct justification for the step used to solve the equation

Answers

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[tex]4q = 52[/tex]

Divide sides by 4

[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]

Simplification

[tex]q = 13[/tex]

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Solve for bbb. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 30b+53 \geq 18b -8330b+53≥18b−8330, b, plus, 53, is greater than or equal to, 18, b, minus, 83

Answers

Answer:

b ≥ - 34 / 3

Step-by-step explanation:

Given the inequality :

30b+53≥18b−83

Collect like terms

30b - 18b ≥ - 83 - 53

12b ≥ - 136

Divide both sides by 12

12b / 12 ≥ - 136 / 12

b ≥ - 34 / 3

Hence, b ≥ - 34/3

Answer:

b≥− 34/3

Step-by-step explanation:

Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?

Answers

Density = mass / volume

Density = 44,800 kg/ 5m^3

Density = 8,960 km/m^3

This is really confusing i need help if you get this right i will give you brainliest

Answers

Okie B or D

Maybe C

OK ok ok ok ok ignore that it's probably B? orC

okie nevermind there's lots of bullies and no one even know's I'm autistic people, okie baiiiii

Answer: I don't think the answer is B. -3/5+(-2/8)-4=-5 because B. -3/5+(-2/8)-4 A. (-40)+(-30)+28=-42, C. 130+70+(-37)=163, D. 40+(-58)+160=142. I think A. (-40)+(-30)+28=-42

help will mark brainliest if correct :)

Answers

Answer:

Step-by-step explanation:

x= 0.079

y=-0.169

Answer: x= 0.079

y=-0.169

Step-by-step explanation:

2³ =
what does it equal?

Answers

Answer:

8

Step-by-step explanation:

2 x 2 = 4

4 x 2 = 8

Answer:

8

Step-by-step explanation:

2^3 is the same as 2x2x2 (x is times)

Anthony says that the expression abc has three terms because it uses three different variables. Critique Anthony's reasoning and explain whether he is correct.

Answers

Answer:

Anthony's reasoning is incorrect

Step-by-step explanation:

The expression abc is not made up of three terms because it is just an entity. For the expression to be called a three term expression, each of the variables must be separated using mathematical signs. For example, the expression a + b + c can be referred to as three terms because each variables are separated by a plus sign. In this case they are different entity.

From the above explanation, we can conclude that Anthon's reasoning is incorrect. The expression abc is just one term not three terms.

PLEASE HELP ILL GIVE BRAINLIEST!

Answers

for qn2 :
2(n+7) = 2n + 14
hence, the answer is C as 2n + 2(7) = 2n + 14 as well

Answer: Image #1: C. Distributuve Property Image #2: A. n + 2(7)

Step-by-step explanation: For Image #1, they used the Distributive Property because the number 3 was (distributed) and multiplied to both x and 7. The equation is saying that 3x + 21 = 42, and that we’re trying to solve for x. For Image #2, the answer is A. n + 2(7) because after you solve the expression, the answer would be 14n. When you look at the four options, (A. B. C. D.), letter A. would be the answer because it equals to 14n.

what is the cube root of -27​

Answers

Answer:

-3

Step-by-step explanation:

[tex]\sqrt[3]{-27}[/tex] is -3 and can be proven by doing [tex]-3^{3}[/tex] as -3 x -3 x -3 of itself will give you -27, as [tex]\sqrt[3]{-27}[/tex] is just -27/-3/-3

What is the 100th term of the sequence with a1 = 222 and d = -5

Answers

Answer:

-273

Step-by-step explanation:

222- (99*5)

222-495

-273

Answer:

-273

(next time if their is options maybe also try and put them, it would help a lot)

Trisha uses 3 cups of sugar for every 4 cups of flour to make a batch of cookies. Which equation could be used to solve x, the number of cups of flour needed for 9 cups of sugar.

Answers

Answer: The number of cups of flour needed for 9 cups of sugar = 12.

Step-by-step explanation:

Equation of direct proportion between two quantities x and y :

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Let x=  the number of cups of flour needed for 9 cups of sugar.

Put [tex]x_1=4,\ y_1=3,\ y_2=9, x_2=x[/tex]

[tex]\dfrac{4}{3}=\dfrac{x}{9}\\\\\Rightarrow\ x=\dfrac{9\times4}{3}\\\\\Rightarrow\ x=12[/tex]

Hence, the number of cups of flour needed for 9 cups of sugar = 12.

Find the measure of angles 1,2 and 3

Answers

Answer:

1-75    2-105    3-35

Step-by-step explanation:

1-  180-75-30=75

2-  180-75=105

3-   180-105-40=35

Fraction 3•5 • fraction 4•9 =

Answers

Answer:

Step-by-step explanation:

3.5×4.9

=35/10×49/10

=1715/100

Or 17.15 answer

Answer:

Step-by-step explanation:

3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15

In the equation 0.5x-8=1.5 the decimal coefficient is

Answers

Answer:-9.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

The coefficient is the number that multiply the variable, in this case x.

Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.

Answers

Answer:

a = 4√5

Step-by-step explanation:

Given

Trapezoid XYWZ

As given, sides XW and YZ are parallel and XY = WZ

Since it is isosceles, angles X and W are of same size

Therefore:

a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5

Write the equation of the quadratic function whose graph passes through [tex](-3,2)[/tex], [tex](-1,0)[/tex], and [tex](1,6)[/tex].

Answers

Answer:

[tex]f(x)=x^2+3x+2[/tex]

Step-by-step explanation:

We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).

Remember that the standard quadratic function is given by:

[tex]f(x)=ax^2+bx+c[/tex]

Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:

[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]

Simplify:

[tex]2=9a-3b+c[/tex]

Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:

[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]

And for (1, 6):

[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]

So, we have a triple system of equations:

[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]

We can solve this using elimination.

Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:

[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]

Compute:

[tex]6=2a+2c[/tex]

Let's divide both sides by 2:

[tex]3=a+c[/tex]

Now, let's eliminate b again but we will use Equation 1 and 2.

Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:

[tex]-3(0)=-3(a-b+c)[/tex]

Multiply:

[tex]0=-3a+3b-3c[/tex]

Add this to Equation 1:

[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]

Compute:

[tex]2=6a-2c[/tex]

Again, we can divide both sides by 2:

[tex]1=3a-c[/tex]

So, we know have two equations with only two variables:

[tex]3=a+c\text{ and } 1=3a-c[/tex]

We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:

[tex](3+1)=(a+3a)+(c-c)[/tex]

Compute:

[tex]4=4a[/tex]

Solve for a:

[tex]a=1[/tex]

So, the value of a is 1.

Using either of the two equations, we can now find c. Let's use the first one. Hence:

[tex]3=a+c[/tex]

Substitute 1 for a and solve for c:

[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]

So, the value of c is 2.

Finally, using any of the three original equations, solve for b:

We can use Equation 3. Hence:

[tex]6=a+b+c[/tex]

Substitute in known values and solve for b:

[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]

Therefore, a=1, b=3, and c=2.

Hence, our quadratic function is:

[tex]f(x)=x^2+3x+2[/tex]

Select all the lines in the proof of △ABC≅△CDA that have the correct justification. AB || CD and BC || AD, ASA Triangle Congruence Theorem ∠BAC≅∠DCA, Alternate Interior Angles Theorem △ABC≅△CDA, SAS Triangle Congruence Theorem ∠ACB≅∠CAD, Alternate Interior Angles Theorem AC≅AC, Reflexive Property of Congruence

Answers

Answer:

AB and MN

∠B and ∠N  

CB and LN

Step-by-step explanation:

edg

what is the volume of a cylinder with radius 10cm and height 10cm?

Answers

Answer:

about 3141.59 cm^3

Step-by-step explanation:

V of cylinder = (pi)(r^2)(h)

radius = 10 cm

height = 10 cm

V = pi x 10^2 x 10

V = 3141.59 cm cubed

2) The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60? Show your work to receive full credit.

Answers

Answer:

I believe the answer is 20

Step-by-step explanation:

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