find the sum of first 22 terms of AP 8, 3, -2​

Answer: [tex]n=5[/tex]

Add -10 to each side of the equation

[tex]10 + -10 + 8n = 50 + -10[/tex]

Combine like terms

[tex]0 + 8n = 50 + -10\\8n = 50 + -10\\8n = 40[/tex]

Divide each side by 8

[tex]8n/8=40/8\\n=5[/tex]

Answer:

n = 5

Step-by-step explanation:

8n +10 = 50

     -10    -10

     8n  = 40

      8      8

       n   = 5

Answer:

x = 1/3

Step-by-step explanation:

3(x-1)-2(2x+1)=8(x-1)

Distribute

3x -3  -4x-2  = 8x -8

Combine like terms

-x -5 = 8x -8

Add x to each side

-x-5+x = 8x-8+x

-5 = 9x-8

Add 8 to each side

-5+8 = 9x-8+8

3 = 9x

Divide by 9

3/9 = 9x/8

1/3 =x

3(x-1)-2(2x+1)=8(x-1)

Use distributive property:

3x-3 -4x-2 = 8x-8

Combine like terms:

-x -5 = 8x -8

Add 8 to both sides:

-x +3 = 8x

Add x to both sides:

3 = 9x

Divide both sides by 9:

x = 3/9

x = 1/3

Answer:

17 units

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The value of a is 8.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

XZ = XY + YZ

40 = 3a + 8 + a

40 = 4a + 8

40 - 8 = 4a

32 = 4a

a = 32/4

a = 8

Thus,

a is 8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

4/9 pounds

Step-by-step explanation:

5 1/3 pounds of pretzels divided equally for 6 girls would mean that each girl gets 8/9 pounds of pretzel.

If Sue ate half of the 8/9 pounds, that would equal to 4/9 pounds of pretzel.

Answer:

x = -2

Step-by-step explanation:

-6x - 29 = 5x - 7​

Add -6x to both sides

-29 = 11x - 7

Add 7 on both sides

-22 = 11x

Divide

[tex]\frac{-22}{11}[/tex] = [tex]\frac{11x}{11}[/tex]

x = -2

Answer:

x = -2

Step-by-step explanation:

move the terms

collect like terms

-11x = 22

divide both sides of the equation by -11

Answer:

which one?

Step-by-step explanation:

Answer:

There is no question

Step-by-step explanation:

Answer:

d) Root 16 is rational

Step-by-step explanation:

Root 16=4

4 is rational

Therefore root 16 is rational

Answer:

D. 70

Step-by-step explanation:

if vx is bisector then 3z - 4 = z + 6 add like terms

2z = 10;and z = 5

To find the perimeter we add all side lengths

VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z

we know z = 5 so 14 × 5 = 70

Answer:

just move the decimal a 107 times and add 0's

Step-by-step explanation:

Answer:

4x^-4/9y^6

Step-by-step explanation:

If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:

(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2

When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4

Going through:

2^2*(x^-2)^2 / 3^2*(y^3)^2

=4*x^-4 / 9*y^6

=4x^-4/9y^6

Hope this helped!

Answer:

Kami will need 33.6 ounces of ground beef for the recipe

Step-by-step explanation:

From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.

Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces  = 33.6 ounces of ground to make the recipe for the entire dinner.

Answer:

yes -2 is the correct answer

Step-by-step explanation:

7x+3=-17-3x

7x+3x=-17-3

10x=-20

x=-20/10

x=-2

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf Yes.}}}}[/tex]

Step-by-step explanation:

=> [tex]\sf 7x+ 3 = -17-3x[/tex]

Combining like terms

=> [tex]\sf 7x+ 3x = -17-3[/tex]

=> [tex]\sf 10x = -20[/tex]

Dividing both sides by 10

=> [tex]\sf x = -2[/tex]

So, -2 is a solution of the given equation.

Answer:

x=19

Step-by-step explanation:

because if you add 6 by 9 and you get 15 and if you plus 9 with 10 uoi get 19

Answer:

B

Step-by-step explanation:

Answer:

  substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

  x = 6y -8

  7(6y -8) -y = -2 . . . . . x variable eliminated

__

The second equation is easily solved for y, so you could substitute that into the first equation.

  y = 7x +2

  -x +6(7x +2) = 8 . . . . . y-variable eliminated

__

The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

   7(-x +6y) +(7x -y) = 7(8) +(-2)

  42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

  (-x +6y) +6(7x -y) = (8) +6(-2)

  -x +42x = -4 . . . . . . . . y-variable eliminated

__

It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

Answer:

Step-by-step explanation:

p(x)= -3+4x

p(-2)=-3+4(-2)

p(5)=-3+4(5)

p(5)=-3+20

Answer:

B. 3y + 4

Step-by-step explanation:

Step 1:

3 (y - 1) + 7

Step 2:

3y - 3 + 7

Answer:

3y + 4

Hope This Helps :)

Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

Answer:

5

5

15

Step-by-step explanation:

Answer:

546

Step-by-step explanation:

Formula: 0.5*[sum of parallel sides] *height

Answer:

636 in.²

Step-by-step explanation:

First divide the shape into three pieces, you will get a triangle and two rectangles, the base of the triangle is 30 in. The height is 8 in. Multiply 30×8 to get 240 and then divide by two to get 120. Next the rectangle on top has sides that are 24 in. and 8 in. You will get 192. Lastly the rectangle on the bottom has sides of 54 in. and 6 in. For this you will get 324. Finally you add up 120+192+324 to get 636 in.²

Answer:

I am confused by the question no CAPPPPPP

Step-by-step explanation:

Answer:

3.888

Step-by-step explanation:

3.24 × 1.2

Using Multiplication method multiply through like normal multiplication, don't

put your decimal yet

= 3.24

× 1.20

_______

000

6480

+32400

_______

38880

_________

Counting the number of decimal places to knowing where to properly place your decimal sign

3.24 = 2 decimal place

1.20 = 2 decimal place

Total = 4 decimal places

3.8880

Therefore, 3.24 × 1.20 = 3.8880 or 3.888

Step-by-step explanation:

g(x) = f(x) + 4.

This is because g(x) is a translation of f(x) that has been moved up by 4 units. (-2 to 2 when x = 0)

Given the graphs of y = f(x) and y = g(x),

g(x) = f(x)  + 3

expresses g(x) in terms of f(x).

The Answer is 3.

Answer:

Yes it is a Function

Step-by-step explanation:

Because there are no same x-values with the same y-values

Answer:

i have the same question on my worksheet Step-by-step explanation: i need help this is the hardest one

Answer:

4.4366

Step-by-step explanation:

3.44+5.07+4.28=13.31

13.31/3=4.4366

hope this helps