The diference between two numbers is 3 their sum is 27. What is the smaller number?

Answer:

50

Step-by-step explanation:

    [tex]\sf 2\sqrt{5}*5*\sqrt{5} = 2*5* \sqrt{5*5}[/tex]

                          = 10 * 5

                           = 50

Multiply the rational numbers and multiply the radicals.

Answer:

13.3 liters of petrol left

Step-by-step explanation:

80 ÷ 6 = 13.3

Answer: m = (3/2)r

Step-by-step explanation:

2/3m+a=a+r, for m

----

(2/3)m + a = a + r

---

(2/3)m = r

Proved [tex]Cos^{4}x - Sin^{4}x + 1[/tex] = 2Cos²x

We will use the Pythagorean Theorem:

Sin²x + Cos²x = 1

from which we can get:

Sin²x = 1 - Cos²x

Also, note that the difference in the similarity of squares can be written:

A² - B² = (A - B)

We can use this with A = Sin²x and B = Cos²x as follows:

[tex]Sin^{4}x - Cos^{4}x[/tex]

= (Sin²x)² - (Cos²x)²

= (Sin²x - Cos²x) (Sin²x + Cos²x)

= Sin²x - Cos²x

= (1 - Cos²x) - Cos²x

= 1 - 2Cos²x

Now move the 1 and negative symbols to the left.

[tex]Cos^{4}x - Sin^{4}x + 1[/tex] = 2Cos²x

The trigonometric ratios are related to each other by equations called trigonometric identities.

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Answer:

24

Step-by-step explanation:

Think of .5 as 2 and instead of dividing, you're multiplying.

So instead of 12/.5, it would be 12x2, which is 24.

Hope that helps!

Answer:

24

Step-by-step explanation:

it just is, I don't know how I get this. I just did.

[tex]\frac{2n+48}{3}[/tex]

Using linear function concepts, it is found that:

The slope-intercept representation of a linear function is:

y = mx + b.

In which:

For this problem, we will use a calculator from the points on the table to build a linear function of best-fit. The points are given as follows:

(5, 17.9), (10, 18.7), (15, 19.7), (20, 20.5), (25, 21.3).

Then the function is:

y = 0.172x + 17.04.

Then:

The table is missing, and is given by the image at the end of the answer.

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Answer:

Answer down below!

Step-by-step explanation:

It is not prime!!

10,000,000,001 is an odd eleven-digits composite number following 10000000000 and preceding 10000000002. In scientific notation, it is written as 1.0000000001 × 10^10. The sum of its digits is 2. It has a total of 3 prime factors and 8 positive divisors. There are 9,897,840,000 positive integers (up to 10000000001) that are relatively prime to 10000000001.

Hello!

The product of something is the outcome of ADDITION.

This means we will have to add 7 and 13.

7+13=20.

It says the subtract 18.

20-18=2.

2 is your answer!!
---------------------------------

this is a pretty simple concept so I hope you understood. just remember product=addition. much love!! <3

Answer:

a = - 2

Step-by-step explanation:

since the point (3, 2 ) lies on the parabola, then it makes the equation true.

substitute x = 3, y = 2 into the equation and solve for a

y = ax² + 3x + 11

2 = a(3)² + 3(3) + 11

2 = 9a + 9 + 11

2 = 9a + 20 ( subtract 20 from both sides )

- 18 = 9a ( divide both sides by 9 )

- 2 = a

Answer:

a = -2

Step-by-step explanation:

Given quadratic equation:

[tex]y=ax^2+3x+11[/tex]

In order to find "a", substitute the given point on the curve (3, 2) into the equation and solve for a:

[tex]\begin{aligned}y&=ax^2+3x+11\\\textsf{Substitute $(3,2)$} \implies 2&=a(3)^2+3(3)+11\\2&=9a+9+11\\2&=9a+20\\2-20&=9a+20-20\\-18&=9a\\9a&=-18\\\dfrac{9a}{9}&=\dfrac{-18}{9}\\\implies a&=-2 \end{aligned}[/tex]

Therefore, the value of "a" so that parabola y = ax² + 3x + 11 goes through the point (3, 2) is:

[tex]\large \boxed{a=-2}[/tex]

The equation for the line that is parallel to the given line y=3/4x + 7 and that passes through the given point G (8,3) is y= (3/4)x -3.

As given in the question,

Equation of the given line :

y=3/4x + 7

Slope of the given line = (3/4)

Equation of line with slope (3/4) & passing through point (8, 3) is given by:    

y - 3 = [tex]\frac{3}{4}[/tex] (x - 8)      

⇒ 4 (y - 3) = 3 (x - 8)

⇒ 4y - 12 = 3 x - 24

⇒ 4 y = 3 x - 24 + 12

⇒ 4 y = 3 x - 12

⇒ y = (3/4)x - 3

Therefore, the equation for the line that is parallel to the given line

y=3/4x + 7 and that passes through the given point G (8,3) is y= (3/4)x -3.

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The value of 3/12 of 100 is 25 .

In the question ,

a fraction 3/12 is given ,

we have to find the value of 3/12 of 100 .

to find the value , we first convert both the numbers into fraction

So 100 in fraction form can be written as 100/1

So the value 3/12 of 100 means

= [tex]\frac{3}{12} *\frac{100}{1}[/tex]

multiplying the numerator with numerator

and multiplying denominator with denominator .

we get = 300/12

on further  simplification ,

we have ,

= 75/3

= 25

So , 3/12 of 100 = 25

Therefore , The value of 3/12 of 100 is 25 .

The given question is incomplete , the complete question is

What is the value of 3/12 of 100 ?

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Answer:

20%

Step-by-step explanation:

4/20

 20 x 5 = 100

 4x 5 =20

20/100=20%

√134 is the number which is located between 11 and 12 on a number line.

A number line is a horizontal straight line on which real numbers are arranged in equal intervals. This line extends both sides at infinity.

Comparison and operations of numbers can be better explained using number lines.

Taking consecutive perfect squares of integers which lies above and below the given numbers on the number line and taking it's square root, we can find the answer.

The perfect squares below and above 150 are 144 = 12² and 169 = 13². So √150 lies in between 12 and 13.

The perfect squares below and above 134 are 121 = 11² and 144 = 12². So √134 lies in between 11 and 12.

The perfect squares below and above 115 are 100 = 10² and 121 = 11². So √115 lies in between 10 and 11.

The number 121 is itself a perfect square. √121 = 11.

Hence √134 is the number which lies in between 11 and 12.

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Answer:

1. x2-2x-24=0

break middle term

= x2-6x+4x-24=0

factorise:

x(x-6)+4(x-6)=0

=(x+4)(x-6)=0

x+4=0

x= -4

x-6=0

x= 6

2. x2-11x+18=0

break middle term

x2-9x-2x+18=0

Factorise

x(x-9)-2(x-9)=0

(x-2)(x-9)=0

x-2=0

x=2

x-9=0

x=9

Ask me if u don't know how to break middle term

1) given

2) corresponding angle theorem

3) definition of a linear pair

4) definition of a linear pair

5) supplement theorem

Answer:

12 + 6 - 15 + (-1) = 2

Step-by-step explanation:

4a = 3 × 4 = 12

ac = 3 × 5 = 15

12 + 6 - 15 + (-1) = 2

The polynomial is

[tex]10x + y[/tex]

The value of AC when BD= 12 and AC = x+ 23 is 28

A line segment can be defined as the part of a straight line that is being bounded by two different end points, and also contains all the points on the line between its endpoints.

From the information given, we have that line AD is a line with segments, line AB, line BC, line CD with B and C as the midpoints.

Given the points as;

We have that;

AC + BC = AD

But line BD = 14 + x, we have;

Line AC = x + 23 - 14 + x

Line AC = 2x + 9

substitute the values into the equation

2x + 9 +12 = 26 + x

collect like terms

2x - x = 26 - 21

Add or subtract like terms

x = 5

But, we have that;

Line AC = x + 23

Line AC = 5 + 23

Add the values

Line AC = 28

Hence, the value is 28

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Answer:

The probability is 5/8

Step-by-step explanation:

The inequality for the given statement is y > -8x+9.

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given that,

The statement is "The value of y is greater than the sum of negative eight times the value of x and 9".

According the given statement

First taking the sum of negative eight times the value of x and 9.

-8x+9

Then,

y is greater than -8x+9.

y > -8x+9

Hence, The inequality for the given statement is y > -8x+9.

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This how we change 23 out of 25 to a percentage

The numerator of a question is the number that appears above the bar; in this case, the numerator is 23.

The denominator is the number beneath the bar, and in this question, it is 25.

To calculate the value of a fraction, divide the numerator by the denominator.

Therefore, we must divide 23 by 25.

23/25 = 0.92

To determine the percentage, multiply the outcome by 100.

The percentage value will be obtained by multiplying 0.92 by 100.

0.92 x 100 = 92%

As a result, 92% is the answer to the question.

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Answer:

Your number written in expanded form is: 80000 + 4000 + 700 + 80 + 7

Answer:

9.32 if question is [tex]3.5^2-\sqrt{8.6}[/tex]

or

10.55 if question is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex]

(see explanation below)

Step-by-step explanation:

I took the question as
[tex]3.5^2-\sqrt{8.6}[/tex]

since it was not clear if it was [tex]\sqrt{8.6}[/tex] or [tex]\sqrt{8} \cdot 6[/tex]

If it is  [tex]3.5^2 - \sqrt{8} \cdot 6[/tex] then the answer would be 10.55

So check out your question and choose

Answer:

Value of x is 22 because there are alternative angles

Step-by-step explanation:

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

Answer: [tex]y=-5x+11[/tex]

Step-by-step explanation:

We can model this with a line.

The slope of the line is [tex]\frac{-29-1}{8-2}=-5[/tex], and so the equation is [tex]y=-5x+11[/tex].

Answer: −18.5s+28.1

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The simplified expression for -27z^3-9z^4+18z^6, using the greatest common factor, is given as follows:

9z³(-3 - z + 2z³).

To find a symbolic expression by the greatest common factor, we have to:

Then we multiply these GCFs.

For this problem, the numeric coefficients are given as follows:

27, 9 and 18, hence the GCF is of 9.

The exponents are given as follows:

z³, z^4 and z^6, hence the GCF is of z³, which is the expression with the lowest exponent.

Then the GCF of the expression is given as follows:

9z³.

To simplify the expression, each term of the expression is divided by 9z³, hence the factored expression is:

9z³(-3 - z + 2z³).

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Answer:

b 23 is your answer okisussu

A man's taxable income is $3060 if tax is paid at 12%, then the man's net income is $3477.27

The taxable income = $3060

The tax percentage = 12%

Income tax is the a type of tax impose on income generated by businesses and individuals by the government

Consider the net income as x

Then,

12% of the income = x×(12/100)

Therefore the equation will be

x -  x×(12/100) = 3060

x(1-(12/100) = 3060

x(1-0.12) = 3060

0.88x = 3060

x = 3060/0.88

x = $3477.27

Hence, a man's taxable income is $3060 if tax is paid at 12%, then the man's net income is $3477.27

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