Is 253/10 a rational or irrational

a - b= 2

Step-by-step explanation:

expanding the brackets

we have 15x^2+13x+2

a= 15 b= 13

thus, a-b =15-13

=2

The value of a - b if,  (3x + 2) (5x + 1) = ax² + bx + 2 is 2 i.e a - b = 2.

At least two numbers or variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. The term "expression" or "mathematical expression" refers to a finite collection of symbols that are well-formed in line with context-dependent criteria.

Given:

(3x + 2) (5x + 1) = ax² + bx + 2

Write the left term of the equation in the format of the right term,

3x (5x + 1) + 2(5x + 1)

15x² + 3x + 10x + 2

15x² + 13x + 2

Compare the above equation to ax² + bx + 2,

a = 15 and b = 13

Calculate the value of a - b as shown below,

a - b = 15 - 13

a - b = 2

To know more about the expression:

https://brainly.com/question/13947055

#SPJ2

Answer: 12

Step-by-step explanation: to find perimeter we have to add all the sides of the shape so, for a square you can just simply multiply your given side 3 by 4 because there is 4 sides of a square and this equals to 12.

Answer:

Step-by-step explanation:

-4x - 4 = -4x - 8

=4 ≠ -8

no solution

undefined

Answer:

no solution

Step-by-step explanation:

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

Distribute

-4x -4 = -4x -8

Add 4x to each side

-4x+4x - 4 = -4x+4x -8

-4 = -8

This is never true so there is no solution

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume ([tex]V[/tex]) is calculated by:

[tex]V = \frac{4\pi}{3}\cdot R^{3}[/tex]

Where [tex]R[/tex] is the radius of the tumor.

The percentage decrease in the volume of the tumor ([tex]\%V[/tex]) is expressed by:

[tex]\%V = \frac{\Delta V}{V_{o}} \times 100\,\%[/tex]

Where:

[tex]\Delta V[/tex] - Absolute decrease in the volume of the tumor.

[tex]V_{o}[/tex] - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

[tex]\Delta V = V_{o}-V_{f}[/tex]

[tex]\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})[/tex]

The percentage decrease is finally simplified:

[tex]\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%[/tex]

Given that [tex]R_{o} = R[/tex] and [tex]R_{f} = 0.77\cdot R[/tex], the percentage decrease in the volume of tumor is:

[tex]\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%[/tex]

[tex]\%V = 54.34\,\%[/tex]

The volume of the tumor experimented a decrease of 54.34 percent.

If a beverage is made by mixing 3 parts of water with 5 parts of fruit juice then 3/5 fraction of water is mixed with 1 part of fruit juice.

Given that, a beverage is made by mixing 3 parts of water with 5 parts of fruit juice.

Fraction is a combination of numerator and denominator. The number above the division sign is known as numerator and the numerator below the division side is known as denominator.

We have been given that to make a beverage 3 parts of water with 5 parts of fruit juice and we are required to find the fraction of water mixed with 1 part of fruit juice.

Water mixed with 1 part of fruit juice

= Water mixed with 5 parts of fruit juice/5

= 3/5

Hence, if a beverage is made by mixing 3 parts of water with 5 parts of fruit juice then 3/5 fraction of water is mixed with 1 part of fruit juice.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ5

Answer: 2w + 2 (w + 4) ≤ 48

I don't know why, or the process tho.

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.

Answer:

14

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]n= 0.142857[/tex]

[tex]1000000n= 0.142857[/tex]

Move the decimal point using the 1000000n

You should get 142857.142857 repeating

Subtract n from both sides [tex]142857.142857- 0.142857[/tex]

You should get 142857 without the repeating decimal.

The equation is now: [tex]142857/999999[/tex] (fraction)

A cool trick to find out if you can reduce that is: [tex]1+4+2+8+5+7[/tex] (equals 27) is the answer to that addition a number divisible by three (yes). So the number 142857 is divisible by 3 which means that you can simplify the fraction.

You can use a calculator for 142857/3 (division) (unless your teacher says you can't)

You should get 47619

You should get[tex]47,619/333333[/tex]  (fraction).

I think you can divide that by 3 again. [tex]4+7+6+1+9[/tex] is 27, which is divisible by 3.

Again, you can use a calculator for 47619/3 (division) (unless your teacher says you can't)

You should get 15,873

You should get 15,873/111111 (fraction)

The repeating decimal 0.142857 is equivalent to the fraction 1/7.

Given that we need to convert a repeating decimal 0.142857 as a fraction.

The repeating decimal 0.142857 can be expressed as a fraction. To understand how to convert it, let's denote it as x:

x = 0.142857...

To convert this repeating decimal to a fraction, we can multiply x by a power of 10 to shift the decimal point and eliminate the repeating part.

Since there are six digits in the repeating block (142857), we can multiply x by 10⁶ to remove the repeating part:

10⁶ · x = 142857.142857...

Next, we subtract the original equation from the one above to eliminate the repeating part:

(10⁶ · x) - x = 142857.142857... - 0.142857...

Simplifying the equation:

999999x = 142857

Now, we can solve for x by dividing both sides of the equation by 999999:

x = 142857 / 999999

Simplifying the fraction:

x = 1 / 7

Therefore, the repeating decimal 0.142857 is equivalent to the fraction 1/7.

Learn more about repeating decimal click;

https://brainly.com/question/32304269

#SPJ6

Answer:

C and D

Step-by-step explanation:

–4x = –3   and   3 = 4x     is the answer.

(I did the quiz)

Answer:

3n + 6

Step-by-step explanation:

7.

three times a number: 3n

six more than three times a number: 3n + 6

Answer:

20=2x

20/2=x

X=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

20 divided by 2 equals 10.

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−3)=5x−3(x+2)

(2)(x)+(2)(−3)=5x+(−3)(x)+(−3)(2)(Distribute)

2x+−6=5x+−3x+−6

2x−6=(5x+−3x)+(−6)(Combine Like Terms)

2x−6=2x+−6

2x−6=2x−6

Step 2: Subtract 2x from both sides.

2x−6−2x=2x−6−2x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

Answer:

Not Possiable

Step-by-step explanation:

Step 1:

2 ( x - 3 ) = 5x - 3 ( x + 2 )

Step 2:

2x - 6 = 5x - 3x + 6

Step 3:

2x = 2x

Answer:

2x cannot equal 2x

Not Possiable

Hope This Helps :)

Answer:

c. nrkrkrjjrjrjrkerkekkrr

Answer:

c

Step-by-step explanation:

its c :)))))

Answer: 252 cph

Step-by-step explanation: 756 divide by 3 is 252

The perimeter of the triangle is 36 units.

The distance between two points A(x₁, y₁) and B(x₂, y₂) is given by:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The coordinate of the triangle is A(0, 0), B(10, 0) and C(5, 12). Hence:

AB = 10 units

[tex]BC=AC=\sqrt{(5-0)^2+(12-0)^2}=13\ units[/tex]

Perimeter of triangle = AB + BC + AC = 10 + 13 + 13 = 36 units

The perimeter of the triangle is 36 units.

Find out more on perimeter at: https://brainly.com/question/19819849

Answer:

-9

Step-by-step explanation:

let 'x' be the unknown number

lets change the statment to an equation

8x + 3x = 12x + 9

11x = 12x + 9

11x-12x = 9

-x = 9

x = -9

hope it helps ❤❤❤

For any question comment me

Answer:

-9

Step-by-step explanation:

(-8/4)+5+4(3-6)

-2+5+12-24

17-26

-9

Answer:

-9

Step-by-step explanation:

(-8 ÷ 4) + 5 + 4(3 - 6]

-2+5+12-24

-9

Answer:

Step-by-step explanation:

0.3(10-5x)=31.5(8x+9)

Expand the terms in the bracket

That's

3 - 1.5x = 252x + 283.5

Subtract 3 from both sides

3-3 - 1.5x = 252x + 283.5 - 3

-1.5x = 252x + 280.5

Subtract 252x from both sides

That's

- 1.5x - 252x = 252x - 252x + 280.5

- 253.5x = 280.5

Divide both sides by -253.5

We have the final answer as

x = - 1.106

Hope this helps you

Answer:

-3

Step-by-step explanation:

-3w-2p=-21+18=-3

Cost of the strawberry will be $0.31 per ounce.

   Given in the question,

We can write the cost as [tex]\frac{4.96\text{ Dollars}}{1\text{Pound}}[/tex].

Since, 1 pound = 16 ounces

To convert the cost of the strawberry in dollars per ounce, multiply the price by the conversion factor [tex]\frac{1\text{ Pound}}{16\text{ Ounces}}[/tex].

So the cost of strawberry = [tex]\frac{4.96\text{ Dollars}}{1\text{Pound}}\times \frac{1\text{ Pound}}{16\text{ Ounces}}=0.31\text{ Dollars per ounce}[/tex]

    Therefore, cost of the strawberry will be $0.31 per ounce.

Learn more,

https://brainly.com/question/11104914

Answer:

Let's define x as the number of text messages send.

y as the number of 1,000 minutes talk per month.

(so we can write y = N/1000) where N is exactly the number of minutes that you talked that month.

> The equation for Dash is:

C1(x, y) = $80

>The equation for AB&C

C2(x,y) = $0,20*x + $55*y

> Horizon

C3(x,y) = $0.10*x + $75*y.

Now, which company you should go for?

Well, it depends on the values of x and y that you have.

if in your case you have x > y, you may want to go with Horizon, because the price per text is smaller.

if you usually talk, you may want to go with AB&C because the slope for y is smaller.

If you send a lot of texts and talk a lot, then Dash is the best option, because there is no dependence with the variables x, y

Answer:

2/3 < 1/6

Step-by-step explanation:

hope this helps

Answer:

2/3 > 1/6

Step-by-step explanation:

Answer:

yes!!!

Step-by-step explanation:

Answer:

10bb + 22tt ≥ 190

it depends on what your supposed to do i would finish it myself

Answer:

CP=Rs 1920

profit%=6.25%

Answer:

[tex]y=-\dfrac{153}{35}[/tex].

Step-by-step explanation:

The given equation is

[tex]0.15(y-0.2)=2-0.5(1-y)[/tex]

Using distributive property, we get

[tex]0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)[/tex]

[tex]0.15y-0.03=2-0.5+0.5y[/tex]

[tex]0.15y-0.03=1.5+0.5y[/tex]

Isolate variable terms.

[tex]0.15y-0.5y=1.5+0.03[/tex]

[tex]-0.35y=1.53[/tex]

Divide both sides by -0.35.

[tex]y=\dfrac{1.53}{-0.35}[/tex]

[tex]y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}[/tex]

[tex]y=-\dfrac{153}{35}[/tex]

Therefore, [tex]y=-\dfrac{153}{35}[/tex].