twice one number added to three times another gives 21 find the numbers if the difference between them is 3

Answers

Answer 1

Answer:

6 and 3

Step-by-step explanation:

let x and y be the 2 numbers with x > y , then

2x + 3y = 21 → (1)

x - y = 3 → (2)

Multiplying (2) by 3 and adding the result to (1) will eliminate y

3x - 3y = 9 → (3)

Add (1) and (3) term by term to eliminate y

5x = 30 ( divide both sides by 5 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

Substituting into (1)

2(6) + 3y = 21

12 + 3y = 21 ( subtract 12 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

The 2 numbers are 6 and 3


Related Questions

Does (8,4) make the equation y = x true?

Answers

Answer:

false

Step-by-step explanation:

(8,8) or (4,4)

WILL GIVE BRAINIEST
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat. The probability of randomly selecting a number less than 16 is . Choose the likelihood that best describes the probability of this event. A. Neither likely nor unlikely B. Impossible O C. Likely D. Unlikely​

Answers

Answer: Likely

Step-by-step explanation: I got it right!

Answer:

C. Likely

Step-by-step explanation:

Hope it helps :)

Please help me with this.

Answers

Answer:

M1=35, M2=77, M3=49, M4=77, M5=62, M6=28

Step-by-step explanatio

Answer:

Angle 1) 35

Angle 2) 77

Angle 3) 49

Angle 4) 77

Angle 5) 62

Angle 6) 28

Step-by-step explanation:

Start with angle 3)

You have 2 angles for this one already, 90 and 41

All angles in a triangle have the sum of 180, therefore

Angle 3 = 180 - 90 - 41

Angle 3 = 49

Next is Angle 6)

You have Angle 3 and 103

Angle 6 = 180 - 49 - 103

Angle 6 = 28

Now Angle 2)

Angle 2 is on the same line as 103 and are supplementary, the sum is 180

Angle 2 = 180 - 103

Angle 2 =  77

Angle 4)

2 and 4 are vertical opposites with the same measurement, so 77

Angle 1)

Using Angles 1 and 2 and 68, they have a sum of 180

Angle 1 = 180 - 77 - 68

Angle 1 = 35

Angle 5)

Now with Angle 4 and 41 thats given, Angle 5 is

180 - 77 - 41 = 62

Josh says that −5/4 has the same quotient as 5/−4 . Is this true or false?

Answers

Answer:

true 100%

Step-by-step explanation:


If these two triangular puzzle pieces are to be made congruent, what must be the measure of angle z?

Answers

Answer:

116

Step-by-step explanation:

180-28=152

152-36=116

Which of the following is an arithmetic sequence?

Answers

Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!

What is the inverse of the function g(x) = x + 16?

Answers

Answer:

[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]

choose (2)

help me plzz pllz help now im on a time line​

Answers

Answer:

Oki, mizuki here to help!

Hi there user, looks like you need help!

Anyways, option B is the correct answer!

Step-by-step explanation:

How to find average speed: distance/time

Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!

Hope this helped!

Step-by-step explanation:

we know that

Speed = Distance/ Time

so the correct answer is B

the sum of three consecutive natural number is 30 find the numbers​

Answers

Answer:

9 + 10 + 11

Step-by-step explanation:

guess and check

Answer:

9,10,and 11

Step-by-step explanation:

Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft

Answers

Answer:

16 ft

Step-by-step explanation:

Area = Side^2 = (s)^2 = 256, Side = 16.

So, 16 ft.

Mark this as Brainliest if this was correct! I really appreciate it! :D

Answer:

16ft

Step-by-step explanation:

There are 15 plates in the kitchen cabinet. The diameter of each plate is either 9 inches or 12 inches. The diameter of all 15 plates combined is 150 inches.



Which system of equations can be used to find the number of 9-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?

Answers

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

pleasee helppppp im so close to being done and this is my last day !!

Answers

ANSWER FOR UR QUESTION!

Graph

Find f(f(x))

Describe the Transformation

Find the Domain of the Composition f(f(x))

Solve for x

Solve the System of Equations

Find the Area Between the Curves

Solve by Graphing

The answer please for my online class

Answers

Answer:

B. -500

Step-by-step explanation:

[tex] \dfrac{(2a^4)^2}{a^0a^5} = [/tex]

[tex] = \dfrac{2^2a^8}{a^5} [/tex]

[tex] = 4a^3 [/tex]

[tex] = 4(-5)^3 [/tex]

[tex] = 4(-125) [/tex]

[tex] = -500 [/tex]

HELP!

If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?

A. 42cm

B. 36cm

C. 35cm

D. 18cm

Answers

The height of the altitude h is 18 cm.

What is an altitude?

Altitude is the vertical height of an object above some chosen level.

To calculate the length of the altitude h, we use the formula below

Formula:

h = 3v/l²................ Equation  1

Where:

v = Volume of the pyramidl = Length of the baseh = length of the altitude

From the question,

Given:

v = 216 cm³l = 6 cm

Substitute these values into equation 1

h = 3×216/6²h = 18 cm

Hence, the right option  is D. 18 cm.

Learn more about altitude here: https://brainly.com/question/27816517

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what is 20% of 90???

Answers

Answer:

answer :

18

Step-by-step explanation:

use calculator it's easy to solve

Answer:

18

Step-by-step explanation:

20% of 90 = (20/100 )* 90

                  = 1/5 * 90

                  = 18

complete:
a 20% x ____ = $30

Answers

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

What's the rule for the following sequence?

4, 1, -2, -5, …

Answers

Answer:

7-3n

Step-by-step explanation:

the difference between 4, 1 is 1 -4= -3

the difference between 1, -2 is-2-1=-3

The formula is a + (n-1)d => 4 + (n-1)-3

                                        => 4 -3n +3

                                        => 7-3n

Answer:

Subtract -3

Step-by-step explanation:

4--3 is 1, 1--3 is -2, -2- -3 is -5, when subtracting negatives they add together to from a bigger negative.

y is inversely proportional to x.
When x=9, y = 8.
Find y when x= 6.

Answers

Answer:

y = 12 when x = 6

Step-by-step explanation:

The equation for inverse proportion is

xy = k where k is a constant

Let x = 9 and y = 8

9*8 = k

72 = k

The equation is xy = 72

Let x=6

6*y = 72

Divide each side by 6

6y/6 = 72/6

y =12

Please with explanation

Answers

Answer:

7.5 ,9.1 ans. hhfjvfbhhvvnjgvjki

Please help I will give brainliest

Answers

Answer:

52, 60, 68, 76..

Step-by-step explanation:

3. Which of the following is not equal to sin(270°)?
(1) cos(180)
(3) -sin (90)
(2) - cos(0)
(4) sin(360)

Answers

I think the answer is 90

Here is an inequality: -2x>10

List some values for x that would make this inequality true.

Answers

Answer:

The right solution is "[tex]x>-5[/tex]".

Step-by-step explanation:

The given inequality is:

⇒ [tex]-2x>10[/tex]

By solving the above expression, we get

⇒ [tex]x >-\frac{10}{2}[/tex]

⇒ [tex]x>-5[/tex]

Thus the above is the correct answer.

A rectangular-shaped school courtyardhas a length of 280 feet and a width of150 feet wide. What is the approximatelength of a diagonal of the courtyard tothe nearest tenth?

Answers

Answer:

317.6 feet

Step-by-step explanation:

the length of the diagonal can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

280²  + 150²

= 78,400 + 22,500

= 100,900

take the square root of  100,900

= 317.648 feet

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

317.6 to the nearest tenth

Solve graphically: 2x - y = 7 and x - 2y = 5.

Answers

Answer:

(3, - 1)

Step-by-step explanation:

We want to solve the system of equations:

2*x - y = 7

x - 2*y = 5

graphically.

To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:

y = -7 + 2*x

y = -(5/2) + x/2

Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.

Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.

Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)

which number is a composite number 9 5 2 11? (Need it ASAP)

Answers

Answer:

9

Step-by-step explanation:

A composite number is a number that has factors other than 1 and the number itself.

5 has no factors except 1 and 5. PRIME

2 has no factors except 1 and 2. PRIME

11 has no factors except 1 and 11. PRIME

9 can be multiplied by 3 and 3. COMPOSITE

---

hope it helps

A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?

Answers

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

What is the approximate measure of the length of the tennis court, x? A. 49.9 ft B. 72.0 ft C. 93.1 ft D. 78.0 ft​

Answers

b. 72.0 is the answer to this

what are the points when you graph y = -7x -1

Answers

Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)

Step-by-step explanation:

Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.

what is 14.235 rounded to t nearest tenth

Answers

Answer:

14.2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

THE ANSWER IS 14.2

Step-by-step explanation:

Is the statement true or false?
If x = 6, then x can
only be equal to 6.
True
False
Copyright © 2003 - 2021 Asellus Corporation

Answers

Answer
The answer is false

The statement "If |x| = 6, then x can only be equal to 6" is false.

The absolute value of a number represents its distance from zero on the number line.

The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.

In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.

Hence, x is not limited to being equal to only 6.

To learn more on Absolute value click:

https://brainly.com/question/4691050

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