the first term of an arithmetic sequence is 3000 and the tenth term is 1200. the sum of the first 20 terms of the sequence

Answer:

These answer are written in standard form

Step-by-step explanation:

D. The sum of four and twice a number = 2x+4

C. Seven more than three times a number, all multiplied by itself = 3x+7

B. Nine less than a number, all divided by three = [tex]\frac{n-9}{3}[/tex]

Answer:

2.8n.8n.8n.8n

option no. 4

There are no solutions to this system.

==========================================================

Explanation:

Let's simplify and rearrange terms for the first equation. The goal is to get it into the form Am+Bn = C, where A,B,C are constants.

4(m-n) = 7(1-n)

4m-4n = 7-7n

4m-4n+7n = 7

4m+3n = 7

Let's do the same for the second equation

(3/2)n = 4 - 2m

3n = 2(4-2m)

3n = 8 - 4m

4m+3n = 8

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

The result of each simplification is that we ended up with 4m+3n on the left hand side for each equation. The only difference is that we got 7 for the first equation and 8 for the next one.

This is a contradiction because 4m+3n can only equal one number at a time for any given (m,n) pair. It's like saying z = 7 and z = 8 at the same time, where z = 4m+3n. But z can only equal one value at a time.

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

In summary, the given system leads to a contradiction and the system is inconsistent. This means that there are no solutions. There are 0 ordered pairs (m,n) that make both original equations to be true.

The correct answer is there is exactly one ordered pair ([tex]m = \dfrac{73}{56}[/tex] , [tex]n = \dfrac{13}{14}[/tex] ) that satisfies the given system of equations.

Given

[tex]4(m - n) = 7(1 - n)[/tex]

[tex]\dfrac{3}{2} n = 4 - 2m[/tex]

First, simplify the second equation:

[tex]\dfrac{3}{2} n +2m = 4[/tex]

Now,  solve this equation for n:

[tex]n = (4 - 2m) * \dfrac{2}{3}[/tex]

[tex]n = \dfrac{(8 - 4m)}{3}[/tex]

Now, substitute this value of n into the equation [tex]4(m - n) = 7(1 - n)[/tex] :

[tex]4(m - \dfrac{(8 - 4m)}{3}) = 7(1 - \dfrac{(8 - 4m)}{3}[/tex]

[tex]m = \dfrac{73}{56}[/tex]

From the value of m, substitute it back into the equation for n:

[tex]n = \dfrac{(8 - 4m)} { 3}[/tex]

[tex]n = \dfrac{13}{14}[/tex]

The solution is one ordered pair  [tex]m = \dfrac{73}{56}[/tex]  and  [tex]n = \dfrac{13}{14}[/tex].

Learn more about System of equations here:

https://brainly.com/question/9351049

#SPJ3

Answer:

x = 16

Step-by-step explanation:

6x + 3 = 7x -19

3 + 19 = 7x - 6x

22 = x

so

=6x + 3

=6× 22 +3

=135°

then

=7x - 19

=7 × 22 -19

=135°

Answer:

(6x+3)=(7x-19)

-x+3=-19

-x=-22

x=22

Step-by-step explanation:

Answer:

30% decrease in price

Step-by-step explanation:

Since 70-49=21, we know that the price decreased by 30 pounds. The formula to find a percentage decrease is that you should then divide the original number(70) by 21(that equals 0.3!) 0.3 as a percentage would then be 30%, so the answer is there is a 30% decrease in price.

Answer:

500 por 6

Step-by-step explanation:

espero que te ayuder

Answer:

Equation 2:y\geq 2x+3y≥2x+3

We will make the table.

x : -2 0 2

y : -1 3 7

Test Point: (0,4)

Answer:

50 mL

Step-by-step explanation:

<33

Answer:

50mL

Step-by-step explanation:

20% = 1/5

1/5 of 250 is 50

Therefore, she received 50mL of IV fluids.

Hope this helped!

Answer:

steps below

Step-by-step explanation:

f(x) = x⁷ – 6x⁶ + 8x⁵

f'(x) = 7x⁶ - 36x⁵ + 40x⁴

      = x⁴ (7x² - 36x + 40)   ... (1)

Critical point (x,y): x = 0  ,  x = (36 ± √(-36)²-4*7*40) / (2*7) = (18±2√11) / 7

x = 0   or   x = 3.5    or    x = 1.6

plug into (1): y = 0   ,  y = -394.3  ,    y = 10.1

extreme : maximum (1.6 , 10.1)       minimum (3.5 , -394.3)  ... turning points

x⁷ – 6x⁶ + 8x⁵ = x⁵ (x² - 6x + 8) = x⁵ (x-2) (x-4) =0

real zeros: x = 0,   x=2,    x=4

Answer:

C. x = 18

Step-by-step explanation:

3x = 54

First, you try to get x by itself.

To do that, you divide both sides by 3

It looks like this:

3x/3 = 54/3

And it ends up being:

x = 18

Answer:

x + 8 =21; x = 21 -8; x= 13

3x = 54; x =54/3;x= 18

x/5 = 10;x= 10× 5;x= 50

Answer:

lol this is easy use a cal  4 x

Step-by-step explanation:

Given :

To find :-

Answer :-

Given function :-

On equating with 0 ,

Hence it cuts x axis on (2,0) and (4,0) .

Using midpoint formula ,

Answer:

(3,0)

Step-by-step explanation:

The answer above is correct.

Answer:

7

Step-by-step explanation:

To solve this, we have to solve for h.

We can use order of operations to figure this one out.

[tex]18h-9h-7h+3=17\\18h-9h-7h=14[/tex]

Now that every variable on the left side of the equation has an h, we can factor.

[tex]h(18-9-7)=14\\h=\frac{14}{18-9-7} \\h=\frac{14}{2} \\h=7[/tex]

Answer:

6

I just did some trial and error with the numbers

186-96-76+3=17

Unless I did it wrong, then just ignore this answer

Answer:

ignore this

Step-by-step explanation:

5-7=21

Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed

Answer:

[tex]a = \sqrt{63} [/tex]

Answer: 2/15

Step-by-step explanation:

(-3/5)(-2/9)

(-1/5)(-2/3)

(2/15)

Answer:

1.300

Step-by-step explanation:

The length and the width get multiplied and your answer would be 1.300

Step-by-step explanation:

1 2/3 can be written as 5/3 and -3 1/2 can be written as -7/2

now,

→ 5/3×-7/2

→ 5 × (-7) / 3 × 2

→ -35/6 ans.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

-62

Step-by-step explanation:

12/3 * -31/2

12÷3 =4/1

4/1*-31/2

4÷2=2

-31*2=-62

Answer: 6 3/4 miles

Explanation: turn 3 1/4 into an improper fraction makeing it 13/4 multiply both 7 and 2 by 2 makeing 7/2 into 14/4 add the two together 13/4+14/4= 27/4 then simplify down to 6 3/4

They cycled in total 6 3/4 miles.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Padma cycles 3 1/4 miles.

And, Josh cycles 7/2 miles.

Now,

Since, Padma cycles 3 1/4 miles. Josh cycles 7/2 miles.

Hence, The total cycled by both = 3 1/4 + 7/2

                                                  = 13/4 + 7/2

                                                  = 13/4 + 14/4

                                                  = (13 + 14) / 4

                                                  = 27/4

                                                  = 6 3/4 miles

Thus, They cycled in total 6 3/4 miles.

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Answer:

X=22

Step-by-step explanation:

258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The equation of a vertical line is ...

  x = constant

If you want the line to go through a point with an x-coordinate of 3, then the constant must be 3.

  x = 3 . . . . . . .vertical line through (3, 4)

Answer:

the points for Q would be (-1,-1)

Step-by-step explanation:

oh i hope im right im sorry if wrong

The next term of the sequence of the numbers 2, 5, 4, 10, 8, 20, is 16.

A Sequence is a list of numbers that are in order. Sequence follows a particular pattern.

Therefore, let's study the pattern of the sequence to know the next term.

2, 5, 4, 10, 8, 20,

The pattern can be explained as follows;

2(2) = 4

5(2) = 10

10(2) = 20

8(2) = 16

Therefore, the next term of the sequence of the number is 16.

learn more on sequence here: https://brainly.com/question/970732

9514 1404 393

Answer:

  b. 327,449

Step-by-step explanation:

Adjacent digits have values related by a factor of 10 if they are the same digit.

  327,449

is the number that has two adjacent digits the same.

Answer:

Zuri: -10x + 125, Cara: 10x+125, Julio: 125x + 10

Step-by-step explanation:

Zuri starts with 125 dollars, and spending 10 dollars per month, means a subtraction of $10 per month.  So, after x months, the subtraction = -10x = -10 + -10 + ... + -10, x times.  Thus, f(x) = 125 + (- 10x) = 125 - 10x = -10x + 125.

Cara starts with 125 coins, and collecting 10 coins per year, means an addition of 10 coins per year.  So, after x years, the addition = 10x = 10 + 10 + ... + 10, x times.  Thus, f(x) = 125 + 10x = 10x + 125.

Julio starts with $10, and earning $125 per week, means an addition of $125 per week.  So, after x weeks, the addition = 125x = 125 + 125 + ... + 125, x times.  Thus, f(x) = 10 + 125x  = 125x + 10.  

Answer:

49

131

Step-by-step explanation: