MATHEMATICS MIDDLE SCHOOL

What is the common difference between the elements of the arithmetic sequence below?–18, –22.5, –27, –31.5, –36

Answers

Answer 1

Answer:

Answer:

sorry this is late but the answer is -4.5.

Step-by-step explanation:

I got this right on edge! Please give this a like and mark brainliest!

Answer 2

Answer:

The sequence:

-18 , -22.5 , -27 , -31.5 , -36

Common difference:

(-18 - -22.5) = (-22.5 - -27) = (-27 - -31.5) = (-31.5 - -36) = 4.5 ( When two minuses come together, they make a plus. So difference is certainly the positive next number - positive previous number to give 4.5)

Common difference = 4.5

Type of the sequence: Arithmetic sequence.

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Solve the equation for y.4x - 5y = 9A. y = -5/4x = -5/9B. y = -4x = 9C. y = 5/4x + 9/4D. y = 4/5x - 9/5
X/2 - 8 = 19 (plz help its late thnxs)
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Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximumplease and thanks!

Answers

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

Question 1 A system of equations is shown below:
n = 3m + 6
n − 2m = 2

What is the solution, in the form (m, n), to the system of equations?

(−4, −6)
(−5, −9)
(2, 6)
(1, 8)

Question 2

The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:

STEP1: 2(y + 6) = 4y
Step 2: 2y + 8 = 4y
Step 3: 2y = 8
Step 4: y = 4

Which of the following explains how to correct Step 2 and shows the correct value of y?

2 should be distributed as 2y + 12; y = 6
2 should be distributed as 2y + 12; y = 3
The equation should be y + 6 = 4y after division by 2; y = 2
The equation should be y + 6 = 4y after division by 2; y = 1

Question 3
The equation 3.3x − 6.6 = 2.7x can be transformed to form which of the following expressions?

6.0x = 6.6
0.6x = 6.6
6.0x = −6.6
0.6x = −6.6

Answers

Answer:

Part 1: The solution is (-4,-6)

Part 2: 2 should be distributed as 2y + 12; y = 6

Part 3: $\text{The solution is }0.6x=6.6$

Step-by-step explanation:

Part 1: Given the system of equations

$n - 3m = 6$ → (1)

$n - 2m = 2$ → (2)

Solving above two equations

Subtract 2 from 1, we get

$n-3m-(n-2m)=6-2$

$2m-3m=4$

$m=-4$

(1) ⇒ $n=3(-4)+6=-12+6=-6$

The solution is (-4,-6)

Option 1 is correct.

Part 2: The incorrect work of a student to solve an equation 2(y + 6) = 4y

we have to choose the correct step to solve value of y

Equation: 2(y + 6) = 4y

By distributive property

2y+12=4y

2y=12 ⇒ y=6

Hence, 2 should be distributed as 2y + 12; y = 6

∴ Option 1 is correct.

Part 3: Given the equation 3.3x − 6.6 = 2.7x

we have to solve

3.3x − 6.6 = 2.7x

Subtracting 2.7x both sides

$3.3x-2.7x=6.6$

$0.6x=6.6$

Option 2 is correct.

Question 1:
$n = 3m + 6 \nn - 2m = 2 \n \n\hbox{substitute 3m+6 for n in the second equation:} \n3m+6-2m=2 \nm+6=2 \ \ \ \ \ \ \ \ \ \ \ \ \ |-6 \nm=-4 \n \nn=3m+6=3 * (-4)+6=-12+6=-6 \n \n(m,n)=(-4,-6)$

The answer is (-4,-6).

Question 2:
$2(y + 6) = 4y \n2 * y + 2 * 6=4y \n 2y+12=4y \ \ \ \ |-2y \n12=2y \ \ \ \ \ \ \ \ \ \ \ |/ 2 \ny=6$

The answer is: 2 should be distributed as 2y + 12; y = 6.

Question 3:
$3.3x-6.6=2.7x \ \ \ \ |-2.7x \n0.6x-6.6=0 \ \ \ \ \ \ \ \ |+6.6 \n0.6x=6.6$

The answer is 0.6x=6.6.

What is the surface of the rectangular prism? A.) 17.5 ft^2
B.) 11.0 ft^2
C.) 12.0 ft^2
D.) 5.5 ft^2

Answers

Answer: Choice A) 17.5 square feet

Work Shown:

L = length = 4 ft

W = width = 1.5 ft

H = height = 0.5 ft

S = surface area of rectangular prism

S = 2*(L*W + L*H + W*H)

S = 2*(4*1.5 + 4*0.5 + 1.5*0.5)

S = 17.5

The units for the surface are in square feet. This is because surface area is really the combination of all individual areas of each face.

What are 2 irrational numbers between 13 and 15

Answers

1. 13.1585824828741586788.......
2. 14. 4532514582525563325585.....

"An Irrational Number is a real number that cannot be written as a simple fraction."

Hope I helped:)

Solve linear system using substitution

y=6-2x
7x-y=3

Answers

$\left \{ {{y=6-2x} \atop {7x-y=3}} \right. \n\nsubstitute\ first\ equation\ into\ the\ second\n\n7x-(6-2x)=3\n\n7x-6+2x=3\n\n9x-6=3\ \ \ | add\ 6\n\n9x=9\ \ \ | divide\ by\ 9\n\nx=1\n\ny=6-2*1=6-2=4$

Elisa has 6 1/4 pounds of flour. She would like to divide the flour equally into 5 bags.How much flour will be in each bag?

Drag and drop the correct answer to complete the statement.
Each bag will have exactly________pounds of flour

Answers

1&1/4 POUNDS IN EACH BAG....

convert to improprer
6 and 1/4=6+1/4=24/4+1/4=25/4
x divided by y is teh same as x times 1/y
6 and 1/4 divided into 5 is the same as 6 and 1/4 times 1/5 whichis the same as
25/4 times 1/5=25/20=5/4=1 and 1/4
each bag has 1 and 1/4 lb of flour

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