Mathematics Middle School

## Answers

**Answer 1**

Answer:

The common difference is or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term = a₁ = -2

Second term = a₂ =

Third term = a₃ =

Fourth term = a₄ =

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,

∴

The common difference is or 0.2

## Related Questions

Evaluate the expression [(12x2.4) -(8.4*0.6)] +27-5.1

### Answers

Answer:45.66

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

A. xf(x)

01

23

34

45

56

67

B.

xf(x)

-39

-24

-11

00

11

24

C.

xf(x)

03

23

33

43

53

63

D.

xf(x)

0-1

23

04

25

06

27

Which table does NOT represent a function?

### Answers

Answer:

A

Step-by-step explanation:

because it is a

. A right triangle has one leg with a length of two. Give an example of possible lengths for the other leg and the hypotenuse.

### Answers

Answer:

For the other leg = 1 unit, the hypotenuse will be = units.

For the other leg = 2 unit, the hypotenuse will be = units.

Step-by-step explanation:

A right triangle has one leg with a length of 2 units.

Now we have to give examples of the possible length of the other leg and the hypotenuse.

The length of the other leg does not depend on the given leg length of 2 units.

So, it maybe 1 unit or 2 units or any value.

If the other leg is 1 unit, then the length of the hypotenuse will be (Applying Pythagoras Theorem) = units.

If the other leg is 2 units, then the length of the hypotenuse will be = units.

And hence, we will get a distinct length of hypotenuse for each length of the other leg. (Answer)

If the square has an area of 81

cm ?, what is the length of each

side?

### Answers

20.25cm is the length.......................

Determine the slope and y-intercept from the following equation: 4x + y = -10 Question 9 options:

slope: 4 y-intercept: (0,10)

slope: -4 y-intercept: (0,10)

slope: -4 y-intercept: (0,-10)

slope: 4 y-interce

### Answers

Answer:

Answer D: Slope: 4 y-intercept: -10

Step-by-step explanation:

The answer is D because in the slope-intercept equation(y=mx+b) m=slope and b=y-intercept. This equation is not in the correct order but the slope is 4 because it is where the m would be and it's next to the x. The y-intercept is -10 because it's where the b would be in this equation, it's by itself, and you can see the y separate from any numbers.

Hope this makes sense and helps!!!!

To the nearest hundredth, how many cm are in 8 in? (1 in = 2.54 cm) a) 162

b)324

c)468

d)648

### Answers

Answer:

Step-by-step explanation:

all you do is multiply 8 by 2.54, you get 20.32. Your answer is 20.32cm Then round it.

A ship sails from port A, on a bearing of 050°, to port B, which is 80 km to the east of A.

It then sails on a bearing of 062° for 72 km until

it reaches port C.

How far to the east of port A is port C?

North

72 km

North

Fille

80 km

### Answers

Answer:143.57

Step-by-step explanation:

sin(62˚) x 72 = 63.57222669

63.57222669+80= 143.57222669

What is the solution (x, y) to the system of equations shown? 2y + x = −17

5x − 4y = −15

A) (−7, −5)

B) (−4, −1)

C) (−3, 0)

D) (5, −11)

### Answers

Answer:

x=-7, y=-5. (-7, -5).

Step-by-step explanation:

2y+x=-17

5x-4y=-15

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

x=-17-2y

5(-17-2y)-4y=-15

-85-10y-4y=-15

-85-14y=-15

14y=-85-(-15)

14y=-85+15

14y=-70

y=-70/14

y=-5

2(-5)+x=-17

-10+x=-17

x=-17-(-10)

x=-17+10

x=-7

A sailboat set a course of N 23° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 11 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat. (Select all that apply.) A.) S 73° E

B.) N 73° E

C.) S 29° E

D.) S 17° E

E.) S 61° E

### Answers

Answer:

Step-by-step explanation:

The answer is 5cwlcusid because it has a more angle to the attraction

A S 72* if u add the 23 and 28 and then divide then plus

A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form. x =?? is the max.

### Answers

The value of x that maximizes the volume of the box is:

The dimension of the paper is given as:

When the cut-out (x) is removed, we have:

So, the volume is:

This gives

Expand

Differentiate

Set to 0

Divide through by 12

Rewrite as:

Using a calculator, the possible values of x are:

The value , is greater than the dimension of the box.

Hence, the value of x that maximizes the volume of the box is:

Read more about volumes at:

brainly.com/question/1578538

Answer:

cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares, in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

But 33" alt="x_1 > 33" align="absmiddle" class="latex-formula">, then is not the correct answer.

Suppose we describe the weather as either hot (Upper H) or cloudy (Upper C). Answer parts (a) and (b) below. a. Using the letters Upper H and Upper C, list all the possible outcomes for the weather on two consecutive days.

nothing (Use a comma to separate answers as needed.)

### Answers

Answer:

{HH,CC,HC,CH}

Step-by-step explanation:

We are given that

H denotes hot and cloudy denotes C.

We have to find the total possible outcomes for the weather on two consecutive days.

The possible cases in two consecutive days

Both days are hot=HH

Both days are cloud=CC

First day is hot other day cloudy=HC

First day is cloudy other day is hot=CH

Total possible cases=HH,CC,HC,CH

Therefor, the total outcomes for the weather on two consecutive days={HH,CC,HC,CH}

What is the value of 8x plus 2x

### Answers

Answer:

10x

8x+2x=10x

:)

Answer: 10x

Step-by-step explanation: Add 8x and 2x.

Hope this helps you out! ☺

What is bc idk x +5x-6 ≤ 12

### Answers

Answer:

x +5x-6 ≤ 12

x +5x-6+6 ≤ 12+6

6x ≤ 18

6x ÷ 6≤ 18 ÷ 6

x≤3

Step-by-step explanation:

- add 6 to both sides
- add like-terms
- divide both sides by 6 to get x

What is an equation of the line that passes through the points (6,-5) and (3,0)

### Answers

Answer:

y+5=-5/3(x-6)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(0-(-5))/(3-6)

m=(0+5)/-3

m=5/-3

m=-5/3

y-(-5)=-5/3(x-6)

y+5=-5/3(x-6)

Gradient = (-5-0) / (6-3)

= -5 / 3

y-intercept = -5 - 6 * (-5/3)

= -5 - ( -10 )

= 5

Equation: y = -5/3 x + 5

You collect action figures. You have 29 figures. Some are worth $5 each and some are worth $2 each. The total value of the collection is worth $100. Write a system of equations representing the value of your collection. Please show work!

### Answers

Answer:

x+y=29

5x+2y=100

Step-by-step explanation:

You have actions figures that add up to 29 so x+y are the 2 groups of action figures. SOme action figures are worth $5 and some are worth $2 they add up to $100 5x+2y=100

1000 divided by 567 in long division

### Answers

Answer:

1.763

Step-by-step explanation:

1.76366843 or 1.76 repeating

Gearge’s Printer can print 24 pages in 15 minutes. How many pages can it print in 3/4 hour? I hour?

### Answers

Answer:

72 pages

Step-by-step explanation:

3/4 of an hour= 3/4 * 60 = 45. And 45/15 = 3. Hence in 45 minutes, the amount of pages to be printed = 3 * 24 = 72 pages

Write an equivalent expression of -2(1.5h+5)-4(-0.5+3h) without parenthesis

### Answers

The equivalent expression to given expression is: -15h-8

Step-by-step explanation:

We can simplify the given expression to find an equivalent expression.

Given expression is:

So by using distributive property

Hence,

The equivalent expression to given expression is: -15h-8

Keywords: Equivalent expressions, Polynomials

Learn more about polynomials at:

- brainly.com/question/10552347
- brainly.com/question/10570041

#LearnwithBrainly

What’s the slope of (2,-6) and (1,-5)

### Answers

Answer: m=-1

Step-by-step explanation: Use the slope formula to find the slope m.

Hope this helps you out! ☺

Answer:

-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-6))/(1-2)

m=(-5+6)/-1

m=1/-1

m=-1

5. Melissa bought a pencil for $0.34, an eraser for $0.22, and a notebook for $0.98. What

is a reasonable estimate for the amount

Melissa spent?

### Answers

the reasonable estimate is 154