The sum of two numbers is 26. The first number is two more than 5 times the second number. What are
the two numbers? Define your variables. Write two equations and then solve. Be sure to write your
answer in a complete sentence!

Answers

Answer 1

Answer:

Let us assume the two numbers be x and y  

From the above condition we can write, x + y = 26 equation 1  

second condition first no x = 2 more 5 times of the second no. that is 5y + 2  

                  then  we can write,               x = 5y + 2..... eqation (2)

  from equation 1  x + y = 26  

                        subtracting y from each side ,     x+ y - y = 26 - y  

                                                                            x = 26 - y  

                             plugging this value of x in eqn. no (2 )  we get,

                                                                   26-y = 5y + 2  

                                                  subtracting 5y on both sides,

                                                                   26 - y - 5y = 5y - 5y + 2  

                                                                    26 - 6y = 2  

                                                  subtracting 26 from both sides,  

                                                              26 -26 -6y = 2- 26  

                                                                          -6y = -24  

                                                eliminating minus sign from both sides,

                                                                            6y = 24  

                                                   dividing by 6 on both sides,

                                                                           y = 24/6 = 4  

                                         substituting this value of y in equation 1 we get,  

                                                                          x + 4 = 26  

                                                       subtracting 4 from both sides,

                                                                             x = 26- 4 = 22

Step-by-step explanation:

so we solve the 2 eqns we get x = 22 and y = 4  

the two numbers will be 22 and 4  


Related Questions

Select the circumstance when the expression (a <= b and a >= b) is true. a = −1, b = −2 a = 1, b = 1 a = 1, b = 2 a = 2, b = 1

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Answer:

b = 1 a = 1

or

b = 2 a = 2

Step-by-step explanation:

Find the next 3 terms of the sequence below:

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The next 3 terms are 17, 21, 25

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Answer:

(y²)³ = y⁶

Step-by-step explanation:

The power of a power rule is generally shows expressions where a power is being raised by another power. In such expressions, the exponents are multiplied together and the base is kept the same, like:

[tex] \qquad \qquad\boxed{ \sf{ { {(x}^{m}) }^{n} = {x}^{mn} }}[/tex]

In order to write the expression (y²)³ in the form of yⁿ, you may use this rule (power of a power rule) to obtain the answer.

[tex]\qquad \quad \sf{ { {(y}^{2}) }^{3} = {y}^{2(3)} = \pmb {\red{ {y}^{6}}}}[/tex]

solve for u

-4+ u =-2

u=?

Answers

Answer:

u = 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex]-4 + u = -2[/tex] [tex]u - 4 = -2[/tex]

Step 2: Add 4 to both sides.

[tex]u - 4 + 4 = -2 + 4[/tex] [tex]u = 2[/tex]

Therefore, u = 2.

Could anyone check me on this? Please correct me if I’m wrong,thank u :D

Answers

You are right the answer is A

100%
Use the information to answer the question.
Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.
If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'? Enter the answer in the box.
inches

Answers

Answer:

24 inches

Step-by-step explanation:

It is the same because the rotation doesn't change the size of the triangle

The perimeter of triangle D'E'F' is 24 inches.

We have given,

Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.

What is the meaning of rotation?

If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'

It is the same because the rotation doesn't change the size of the triangle.

To learn more about the rotation visit:

https://brainly.com/question/26249005

Find the approximate circumference of a circle with a diameter of 10 cm.

Answers

About 31.42 cm because you multiply it by pi

Answer: C = 31.42cm

Step-by-step explanation:

BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

Answers

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]

We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]

In other words,

[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]

Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]

So:

[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]

Multiply both sides by 2

[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]

Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:

[tex]x_2=10[/tex]

Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]

[tex]y_2=2[/tex]

Now substitute these values for [tex](x_2, y_2)[/tex]

[tex](x_2, y_2)=(10,2)[/tex]

So the coordinates of point B are (10, 2)

Hope this helps!

find the measure of angle b

Answers

Answer:

answer ix c becauze the opposite angle is 48

pamelia is 9 years younger than jiri. The sum of their ages is 55. What is Jiris age?

Answers

Answer: 32

Step-by-step explanation: since Jiri is 9 years older, you set an equation where x (Pamelia age) + 9. So the equation is 55= x + (x+9). You subtract 9 from both sides, then divide 46 by 2 to find the Pamelia age. To find Jiri’s age, add 9 to 23 (Pamelia age).

3k+7k-2=6k+16 answer?

Answers

3k+7k-2=6k+16
10k-2=6k+16
10k-6k=16+2
4k=18
k=18/4
k=9/2

Answer: is 4.5

Step-by-step explanation:

3k+7k-2=6k+16

3k+7k = 10k

10k-2=6k+16

-6k     -6k

4k-2=16

   +2  +2

4k= 18

= therefore the answer is 4.5

I believe that it’s c, but I’m
not certain… Can someone help me out?

Answers

Answer:

Yes, the answer is C {3,5,7}

Domain of a function is the input value and range is the result or output value that we get.

PLS HELP WILL MARK AS BRAINLIEST

Answers

Answer:

26. the y intercept is -6

27. the y intercept is 2

28. the y intercept is -3

29. I cant answer because it is cut off in the picture...

Step-by-step explanation:

These equations follow a simple formula- the slope formula

y=mx+b

In this formula:

b is the y intercept

m is the slope that is multiplied by x

hope this helps:)

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Answers

Your answer is C If not A have a good day

Answer:

no come but download gauth math and it will scan the problem and give u the answer

Evaluate a2b2c2 for a = 2, b = 3, and c = 4.

Answers

2 • 2 • 3 • 2 • 4 • 2
multiply those and u get 192!!

Answer:

576

Step-by-step explanation:

Substitute the variables and solve.

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Answers

Answer:

The answer to 7019 - 1135 is 5884

Which of the following lists of side lengths represents a right triangle?

A. 7, 24, 25

B. 3, 6, 9

C. 5, 12, 14

D. 15, 16, 17

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The side lengths of Triangle representing a right angled Triangle is :

[tex]7,24,25[/tex]

because , Pythagoras theorem is true for given Side lengths,

that is :

[tex] {7}^{2} + 24 {}^{2} = 25 {}^{2} [/tex]

Answer:

7,24,25

Step-by-step explanation:

Use Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 25^2=24^2+7^2[/tex]

[tex]\\ \sf\longmapsto 625=576+49[/tex]

[tex]\\ \sf\longmapsto 625=625[/tex]

[tex]\\ \sf\longmapsto verified[/tex]

For brainily please help :/

Answers

Answer: no

Step-by-step explanation: triangle inequality theory.

2.8+3.5 is not larger than 6.9 so this cannot be the sides of a triangle.

Math help brainlyest

Answers

Answer:

Yes

Whats the question?

Answer:

Sorry I don't see the picture

Step-by-step explanation:

pls help with full thing

Answers

for the first one, the fraction version for 0.25 is 1/4 and the percentage is 25%

1.24 • 10 - 6 scientific notation

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Answer: 0.00000124

Step-by-step explanation:

Answer:

the awnser is - 5.876

Step-by-step explanation:

i just did the test

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Answer:

The answer is B. a proportional graph is a straight line that always goes through the origin 0, 0

6 square root x 6 square root x 6 square root

Answers

Answer:216

Step-by-step explanation:

Solve for x not y please I am stuck

Answers

Answer:

x=2, x=1

Step-by-step explanation:

let's solve :

[tex] {4}^{2x} - 20(4 {}^{x} ) + 64 = 0[/tex]

let's take

[tex]2 {}^{2x} = y[/tex]

now,

[tex]{(2{}^{2x} )} {}^{2} - 20(2) {}^{2x} + 64 = 0[/tex]

[tex]y {}^{2} - 20y + 64 = 0[/tex]

[tex]y {}^{2} - 16y - 4y + 64 = 0[/tex]

[tex]y(y - 16) - 4( - 16) = 0[/tex]

[tex](y - 16) (y - 4) = 0[/tex]

[tex]y = 16 \: \: or \: \: y = 4[/tex]

if y = 16, then :

[tex]2 {}^{2x} = 16[/tex]

[tex] {2}^{2x} = 2 {}^{4} [/tex]

[tex]2x = 4[/tex]

[tex]x = 2[/tex]

and if y = 4 :

[tex] {2}^{2x} = 4[/tex]

[tex] {2}^{2x} = {2}^{2} [/tex]

[tex]2x = 2[/tex]

[tex]x = 1[/tex

hence, value of x = 1 or x = 2

Somebody help me please

Answers

Answer:

A goes with the sum of a number and 3

B goes with the product of 4 and a number

C goes with 2 less than a number

D goes with the quotient of 5 divided by a number

Step-by-step explanation:

If r = 2,440, then what is 29.3r?

Answers

Answer:

29.3r

29.3x2440

=71,492

helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee​

Answers

23: B, 155.00

D=7 so 5(7)+120 is 155


25: D (2,6)

(X,y) if you plug in the 2 and 6 the equations make sense

26: A (4,1)

Same as 25

27; b, 2x+y=2 and 4x - y=3

The x value and y value have the same value in both equations

Answer:

x + y =5 .......eqn (1)

x - y =3 .......eqn(2)

using substitution method

x + y = 5

-

x - y = 3

0 + 2y=2

y = 2/2

y = 1

substitute y in egn(1)

x + 1 = 5

x = 5-1

x = 4

then (x, y) = (4,1)

Each side of a square patio is 10.5 feet. The patio is made up of 1.5 foot by 1.5-foot square stones. What is the number of stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the problem? Explain

10.5 x 10.5 = 110.25
110.25 ÷ 1.5 = 73.5

Answers

Answer:Yes

Step-by-step explanation:

The solution provided is complete and includes all the steps needed to solve the problem.

The first step is to calculate the area of the square patio by multiplying the length of one side by itself:

10.5 x 10.5 = 110.25.

The second step is to divide the area of the patio by the area of each individual stone to determine the number of stones needed:

110.25 ÷ 1.5 = 73.5.

Since it is not possible to have a fraction of a stone, the answer should be rounded up to the nearest whole number, which is 74.

Therefore, there are 74 stones on the patio.

To learn more about the square;

https://brainly.com/question/28776767

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