How many odd numbers greater than 60000 can be formed, using numbers 2,3,4,5 and 6 if each digit is used only once in each number?​

Answer:

19, 21 and 23

Step-by-step explanation:

→ Make an algebraic expression for the 3 consecutive numbers

2x + 1, 2x + 3 and 2x + 5

→ Add the expressions together and make it equal to 63

2x + 1 + 2x + 3 + 2x + 5 = 63

→ Simplify

6x + 9 = 63

→ Minus 9 from both sides

6x = 54

→ Divide both sides by 6

x = 9

→ Resubstitute x = 9 into the 3 expressions

x = 9 into 2x + 1 is 19

x = 9 into 2x + 3 is 21

x = 9 into 2x + 5 is 23

Answer:

2 or 8

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

Given the following number;

183184

Taking the square root, we have;

√183184 = 428

Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.

Answer:

E) y= 2x-11

Step-by-step explanation:

as we know the equation of line parallel to

y =2x-7 or, 2x-y-7=0 is 2x-y+k=0

as the line passes through the point (5,-1)

substituting the value of x and y in equation 2x-y+k=0

we get,

2×5-(-1)+k=0

or, 10+1+k=0

or, k=-11

hence putting the value of k in ep 2x-y+k=0

we get 2x-y-11=0

or, y=2x-11

Hello!

|m² - 7| + n² =

= |-2² - 7| + 5² =

= |-4 - 7| + 5² =

= |-11| + 5² =

= 11 + 5² =

= 11 + 25 =

= 36

Good luck! :)

Answer:

28

Step-by-step explanation:

Answer:

y = 2.5

Step-by-step explanation:

Given

10y - 5 = 20 ( add 5 to both sides )

10y = 25 ( divide both sides by 10 )

y = 2.5

Answer:

5/2

Step-by-step explanation:

The given equation to us is ,

[tex]\implies 10y -5 = 20 [/tex]

Add 5 both sides ,

[tex]\implies 10y -5 +5 = 20 +5 \\[/tex]

[tex]\implies 10y = 25[/tex]

Divide both sides by 10 ,

[tex]\implies 10y \div 10 = 25\div 10 \\[/tex]

[tex]\implies \boxed{ y = \dfrac{5}{2}}[/tex]

Answer: -24x^7

Step-by-step explanation:

pemdas so you do parentheses first therefore getting  (2x^2)^3x3x

remove the parentheses

do -8x^6x3x

after that you end up with -24x^7

Simplify (-2x^2) ^3 by raising each term by 3:

-2^3x^6

Now you have

-2^3 x^6 times 3x

-2^3 = -8

x^6 tomes x = x ^7

-8 x 3 = -24

Answer is -24x^7

Answer:

C. x ≥ -4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-10x ≤ 40

Step 2: Solve for x

Answer:

C. x ≥ -4

Step-by-step explanation:

To solve this inequality isolate the variable. Do this by using the properties of equality, specifically the division property. So, divide both sides by -10. This equals, x ≤ -4. However, whenever an inequality is divided or multiplied by a negative number the sign must be flipped. Therefore, the final answer is x ≥ -4.

Answer:

a = 2.5, b = 1

Step-by-step explanation:

Given the 2 equations

4a = 5b + 5 → (1)

2a = 3b + 2 → (2)

Multiplying (2) by - 2 and adding the result to (1) will eliminate a

- 4a = - 6b - 4 → (3)

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

0 = - b + 1 ( add b to both sides )

b = 1

Substitute b = 1 into either of the 2 equations and solve for a

Substituting into (2)

2a = 3(1) + 2 = 3 + 2 = 5 ( divide both sides by 2 )

a = 2.5

Answer:

a = 2.5

b = 1

Step-by-step explanation:

4a = 5b + 5 and 2a = 3b + 2

→ Multiply the second equation by 2

4a = 6b + 4

→ Subtract this new equation from the first one

0 = b - 1

→ Find b by adding 1 on both sides

b = 1

→ Substitute b into one of the equation

4a = ( 5 × 1 ) + 5

→ Simplify

4a = 10

→ Divide both sides by 4

a = 2.5

Answer:

I hope the pic i gave is helpful!!!

Answer:

x^4+4x^3+6x^2+7x+2

Answer:

12

Step-by-step explanation:

Total CD's Lisa bought = 15

Jazz music = 3

World music = x

Find x

Total CD's Lisa bought = Jazz music + World music

15 = 3 + x

Subtract 3 from both sides of the equation

15 - 3 = 3 + x - 3

12 = x

x = 12

Therefore,

World music = x = 12

Answer:

D

Step-by-step explanation:

-10 < -6 - 1

-10 < - 7 (ok)

-10 < -4 - 3

-10 < -7 (ok)

The answer is D (-2, -10)

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

The price before the increase = ?

Procedure:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

∵ x = 2720

Thus, the price before the increase was 2720.

Step-by-step explanation:

here is the answer friend

Answer:

4.

Step-by-step explanation:

A line AB is perpendicular to the line CD.

As shown in the diagram, there are four angles which measures 90°.

The answer is 3 to the 3/4 power.

Answer:

La magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.

Step-by-step explanation:

Podemos encontrar la magnitud de la velocidad angular (ω) del disco con la siguiente ecuación:

[tex] \omega = \frac{\theta}{t} [/tex]

En donde:

θ: es el desplazamiento angular = 0.75 rev

t: es el tiempo = 180 s

Primero debemos cambiar las unidades del desplazamiento angular de revoluciones a radianes:

[tex] \theta = 0.75 rev*\frac{2\pi rad}{1 rev} = 4.71 rad [/tex]

Entonces, la velocidad angular es:

[tex] \omega = \frac{4.71 rad}{180 s} = 0.026 rad/s [/tex]

Por lo tanto, la magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.

Espero que te sea de utilidad!        

Given:

For en exponential function f(a):

[tex]f(-3)=18[/tex]

[tex]f(1)=59[/tex]

To find:

The value of f(0).

Solution:

The general form of an exponential function is:

[tex]f(x)=ab^x[/tex]          ...(i)

Where, a is the initial value and b is the growth/ decay factor.

We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).

[tex]18=ab^{-3}[/tex]            ...(ii)

We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).

[tex]59=ab^{1}[/tex]            ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]

[tex]3.278=b^{1-(-3)}[/tex]

[tex]3.278=b^{4}[/tex]

[tex](3.278)^{\frac{1}{4}}=b[/tex]

[tex]1.346=b[/tex]

Substituting the value of b in (iii).

[tex]59=a(1.346)^1[/tex]

[tex]\dfrac{59}{1.346}=a[/tex]

[tex]43.83358=a[/tex]

[tex]a\approx 43.83[/tex]

The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].

Therefore, the value of f(0) is 43.83.

Answer:

9x - 9

Step-by-step explanation:

4(2x + x - 3) - 3x + 3

Simplify the expression, combine like terms in the parenthesis,

4(3x - 3) - 3x + 3

Distribute, multiply every term inside the parenthesis by the number outside of it;

(4)(3x) + (4)(-3) - 3x + 3

Simplify,

12x - 12 - 3x + 3

Combine like terms,

12x - 12 - 3x + 3

9x - 12 + 3

9x - 9

Answer:

1 hour

Step-by-step explanation:

hope it helps ....

Answer:

Q1: 2.3, 2.6, 2 4/5

Q2: 5/48, 3/16, 0.5, 0.75

Step-by-step explanation:

that should be correct sorry if im wrong

Answer: The answer is already completed

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

408 cm²

Step-by-step explanation:

the total SA = (2×½×6×8) + (10+8+6)×15

= 48 + 360

= 408 cm²

The total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².

In order to create the triangle base, the three triangular sides slant upward. A pyramid with a triangular base is also known as a tetrahedron since it is made up of four triangles.

The shape of a pyramid's base is often used to describe it. A hexagonal pyramid has a base that is a hexagon, as does a triangular pyramid, for example. Pyramids with triangular bases are called triangular pyramids.

A triangle's area is equal to half the sum of its base and height, according to the formula for triangular bases. Whether it be a scalene triangle, an isosceles triangle, or an equilateral triangle, this formula can be used to determine their properties.

The total surface area of the prism calculations are,

b = 6 cm, h = 8 cm, l = 10 cm, and L = 15 cm

[tex]Total\ Surface\ Area = (2\times \frac{1}{2} \times b \times h) + (l+h+b) \times \\ L=(2\times \frac{1}{2} \times 6 \times 8) + (10+8+6) \times 15\\= 48 + 360\\= 408 cm^2[/tex]

Therefore, total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².

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Answer:

15 9 3

Step-by-step explanation:

15 9 3

sorry i guessed on this one

but it does work

when they said 3 in the first sentence i helped me guess

Answer:

first term = 15

second term = 9

Third term = 3

Step-by-step explanation:

Let the first term be 3x

Let the second term be = 3x - 6       [ 6 less than first term]

Let the third term be = 1/5 of 3x

                                 [tex]=\frac{1}{5} \times 3x\\\\=\frac{3}{5}x[/tex]

Difference between first and third term = 12

That is ,

           [tex]3x - \frac{3}{5}x = 12\\\\\frac{(3x \times 5) - 3x }{5} = 12\\\\15x - 3x = 12 \times 5\\\\12x = 60\\\\x = \frac{60}{12} = 5\\\\Therefore , \ first \ term = 3x = 3 \times 5 = 15\\\\second \term = 3x - 6 = 3( 5) - 6 = 15 - 6 = 9\\\\Third \ term = \frac{1}{5} \times 3x = \frac{1}{5} \times (3 \times 5) = 3[/tex]

Answer:

[tex]x=12,\\y=12\sqrt{3}[/tex]

Step-by-step explanation:

In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,

Therefore, we have:

[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]

Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:

[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]

Answer:

[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]

Step-by-step explanation:

Look at the picture.

We have:

[tex]2a=24\\a=x\\a\sqrt3=y[/tex]

Therefore:

[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]

Answer:

[tex]\$6[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

[tex]Dial\ Up = \$5 : 100[/tex]

and

[tex]Ring\ Ring= \$8 : 200[/tex]

Multiply the dial-up by 6 to get the cost of 600

[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]

[tex]Dial\ Up = \$30 : 600[/tex]

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

[tex]Ring\ Ring= \$8 *3: 200*3[/tex]

[tex]Ring\ Ring= \$24: 600[/tex]

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

[tex]d = \$30 - \$24[/tex]

[tex]d = \$6[/tex]

Answer:

The correct answers are:

The variable p is the independent variable.

The number of hours spent reading causes a change in the number of pages read.

The variable p is the dependent variable.

Step-by-step explanation: Hope this helps :)))

These two statements are correct and applicable

(1) The number of hours spent reading causes a change in the number of pages read.

(2) The variable p is the dependent variable.

"A Variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables."

"A dependent variable is the variable that changes as a result of the independent variable manipulation."

"A Line graph is a graphical display of information that changes continuously over time. A line graph may also be referred to as a line chart. Within a line graph, there are points connecting the data to show a continuous change. A Line graph has two axes(X- axis and Y-axis)"

We have,

Kelvin read 35 pages per hour

According to the question,

Number of hours increasing, number of pages also increasing

∵ The table data shows linear graph

We can clearly say that from a line graph definition,

These two are correct and applicable to Kelvin's situation

(1) The number of hours spent reading causes a change in the number of pages read.

(2) The variable p is the dependent variable.

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