Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers

Answer:

B

Step-by-step explanation:

a money account works in the same way as real things we can touch.

so, when I have 300 apples at a place (e.g. a grocery store), then I take away 300 apples, and then put again 300 apples there - how many apples will be there at that moment ?

we had 300 and took away 300.

300 - 300 = 0

at that moment we have 0 apples.

but then we put again 300 apples there.

0 + 300 = 300

so, we end up with 300 apples. the same number we started with.

and the same way for the savings account.

he takes out $300.

that means he has now $300 less on his account.

and then he adds $300.

so, he added exactly the same amount as he took out earlier, which means nothing else than that he undid his earlier action regarding his bank account.

so, his balance is now exactly the same as before he did the first transaction.

therefore the change is exactly : $0

Answer:

a₈ = [tex]\frac{1}{78125}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Here a₁ = 1 and r = [tex]\frac{1}{5}[/tex] , then

a₈ = 1 × [tex](\frac{1}{5}) ^{7}[/tex] = 1 × [tex]\frac{1}{78125}[/tex] = [tex]\frac{1}{78125}[/tex]

Answer:

OA) -7.8 repeating... is irrational number

Step-by-step explanation:

I. Repeating Decimal is on of irrational number

II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.

Answer:

c = 275n

Step-by-step explanation:

It's saying what is the rule, which would be 275 dollars per arce. Now, put that into an equation: c = 275n

Answer and Step-by-step explanation:

15.  [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]

-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex]  (Mixed number)

Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).

-1.35 x 100 = -135

[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]

(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)

18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]

4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]

4.4545.....

Multiply the number by 100 (because there is 2 numbers being repeated.

445.4545....

Now subtract by the original number.

445.4545....

-   4.4545....

441.00

Write this as an equation:

(100 x fraction) - fraction = 441           (100 x fraction) - fraction = 99 x fraction

99 x fraction = 441   (Divide both sides by 99)

fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

Hey there!

The given points are: (-3,-6) and (3,-6).

x 1 = -3 y1 = -6

x 2 = 3 y2 = -6

Use distance formula;

[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all the values;

[tex]d = \sqrt{( {3 - ( - 3))}^{2} + ( { - 6 - ( - 6))}^{2} } [/tex]

Simplify:

[tex]d = \sqrt{ {(6)}^{2} + {( - 6 + 6)}^{2} } [/tex]

[tex]d = \sqrt{ {(6)}^{2} } [/tex]

Therefore, the distance is 6 units.

Hope it helps!

Answer: 6 balls will be in each of the 4 boxes.

Step-by-step explanation:

Multiply 3x8 to find out how many balls there are total.

3x8=24

Then to split them evenly, you divide by 4 (the amount of boxes they are split into)

24/4= 6

Hi! I'm happy to help!

To solve for WX, we have to find the length of the part of the line that isn't XY. Since we know the full length of the line, we subtract the length of XY from WY to get WX:

100-89.6

10.4

The length of WX is 10.4 centimeters.

I hope this was helpful, keep learning :D

Answer: WX = 10.4 cm

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

XY = 89.6 cm

WY = 100 cm

Given expression deducted from the segment addition postulate

WX = WY - XY

Substitute values into the expression

WX = 100 - 89.6

Simplify by subtraction

WX = [tex]\boxed{10.4cm}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:look below

Step-by-step explanation:Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

Answer:

have a great day

god is great

Answer:

(- 1, - 3 )

Step-by-step explanation:

Substitute x = - 1 into the equation and evaluate for y

y = 4(- 1) + 1 = - 4 + 1 = - 3

solution is (- 1, - 3 )

Answer:7/97 or 0.072165

Step-by-step explanation:

Answer:

a) Option A is correct.

b) Option B is correct.

Step-by-step explanation:

[tex]a) \: \: 5 \times a \\ = 5a[/tex]

[tex]b) \: \: b \times b \\ = {b}^{2} [/tex]

Hey there! I'm happy to help!

30% is the same thing as 0.3 because 0.3 is 30% of 1. If you multiply something by 1, it will just stay the same, so you need that percent of 1.

To convert a decimal to a percent, you move the decimal to the left two spaces.

Now, we simply multiply this by 930.

0.3×930=279

So, Kendra will receive a bonus of $279.

Have a wonderful day and keep on learning! :D

Hey there! I'm happy to help!

First of all, I would guide you to decipher clue 2 first. It is the only one that has just one shape, so then we can find the value of that shape.

To find what this circle is, we just divide 12 by three to see what 3 times the circle is!

12÷3=4

CIRCLE=4

-----------------------------------------------------------------

Now, let's look at clue one. This one only has two shapes, and it has the circle, which we already know.

We know that our circle is 4, so 5 circles will be 20.

This means that the diamond plus two will be 20, so let's just subtract 2 from 20!

20-2=18

DIAMOND=18

-----------------------------------------------------------------

Finally, let's look at the third one. This one is the trickiest. Two circles is eight, and that is going to be equal to our diamond (eighteen) and two triangles.

How is that going to work?

The triangles make us go backwards! Otherwise known as negative numbers!

To get from eighteen to eight, we have to go back ten. Ten is going to be made up of two triangles, so we just divide ten by two so each triangle gets an equal amount.

10÷2=5

TRIANGLE=5

-----------------------------------------------------------------

Have a wonderful day and keep on learning! :D

An equation is formed of two equal expressions. The value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the circle be represented by C, the diamond be represented by D, and the triangle be represented by T.

Now, the clues can be rewritten as,

D + 2 = 5(C)

3(C) = 12

2(C) = D + 2(T)

Since the second clue has only one variable C, let's solve it first,

3(C) = 12

C = 12 / 3

C = 4

Further, the first clue has two variables C and D, and the value of C is already known, therefore, solve it second.

D + 2 = 5(C)

D + 2 = 5(4)

D + 2 = 20

D = 20 - 2

D = 18

Furthermore, by solving the last Clue we will get,

2(C) = D + 2(T)

Substitute the known values,

2(4) = 18 + 2(T)

8 = 18 + 2T

8 - 18 = 2T

-10 = 2T

T = -5

Hence, the value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

Learn more about Equation here:

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Answer:

im pretty sure its 250%

Step-by-step explanation:

Answer:

250%

Step-by-step explanation:

1 is 100% and double that is 200%

1/5 of 100% is 50%

200% + 50% = 250%

Answer:

1024

Step-by-step explanation:

multiply 16 by 64

Answer:

4 step by step explanation

The at {x} = 10, the value of the function remains +8.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that the function f(x) is defined as -

f(x) = + 8

The given function is a constant function. This means that the value of the function remains the same irrespective of the value of {x} or the value in the function domain. So, at {x} = 10, the value of the function remains +8 only. This is true for all the values of {x}.

Therefore, the at {x} = 10, the value of the function remains +8.

To solve more questions on functions, visit the link below-

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Hi ;-)

[tex]\text{x}=-1 \ \text{and} \ \text{y}=-4\\\\\dfrac{5x^2-y^2+3}{2x-4y}=\dfrac{5\cdot(-1)^2-(-4)^2+3}{2\cdot(-1)-4\cdot(-4)}=\dfrac{5\cdot1-16+3}{-2+16}=\boxed{-\frac{8}{14}}[/tex]

Answer:

20000

Step-by-step explanation:

This is because when you round to the signifigant figure, you basically look at any digits at the start of the number, which isn't zero. In this case it would be in the ten thousand 19340. So you round 19340 to the nearest 10 thounsand, which, would be 20000

Answer:

[tex]\frac{5+\sqrt{17}}{4}[/tex],      [tex]\frac{5-\sqrt{17}}{4}[/tex]

Step-by-step explanation:

One is asked to find the root of the following equation:

[tex]2x^2+1=5x[/tex]

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

[tex]ax^2+bx+c=0[/tex]

Change the given equation using inverse operations,

[tex]2x^2+1=5x[/tex]

[tex]2x^2-5x+1=0[/tex]

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]

Simplify,

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]

[tex]\frac{5(+-)\sqrt{25-8}}{4}[/tex]

[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]

Rewrite,

[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]

[tex]\frac{5+\sqrt{17}}{4}[/tex],      [tex]\frac{5-\sqrt{17}}{4}[/tex]

Answer:

199 pages

Step-by-step explanation:

The average number of words on the page is 300.  Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).

Answer:5 units

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

n•√n

here is an accurate representation

Equations are represented with the = sign. It means both sides of the equation are equal. [tex]11=t+11.5-t[/tex] has no solution

Given that:

[tex]11=t+11.5-t[/tex]

Start by collecting like terms

[tex]11-11.5=t-t[/tex]

Evaluate like terms

[tex]-0.5 = 0[/tex]

-0.5 is not equal to 0.

Hence, the equation has no solution

Read more about equations at:

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Answer:

a)

[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]

b)

[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]

c)

[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]

I hope I helped you^_^