MATHEMATICS MIDDLE SCHOOL

Which inequality has the solution shown below?

Answers

Answer 1

Answer: The answer is 0.2x + 5 > 2

Answer 2

Answer:

Answer:

0.2x + 5 > 2

Step-by-step explanation:

The arrow is pointing to the right so immediately you know that the sign will be greater than (>). So we can eliminate the choices, 0.3x + 8 < 3 and 0.4x +7 < 1.

Now looking at the two options that are left, we can simply solve them.

0.2x + 5 > 2

Subtract 5 on both sides

0.2x > -3

Then divide 0.2 on both sides and you're left with:

x > -15

We don't need to solve the other inequality because we know that the arrow is pointing to the right, suggesting that x is greater than -15.

Hope you find this helpful :)

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What is the slope of the line through the points (2, 8) and (4, 6)?a) slope = 73
b) slope = -1
c) slope = 1
d) slope = 1/3

Answers

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

(x,y)

we have
(2,8)
(4,6)
x1=2
y1=8
x2=4
y2=6

slope=(6-8)/(4-2)=-2/2=-1

slope=-1
answer is C

Why do Monarchs migrate to México? (Good Answers)

Answers

The monarch butterflies will spend their winter hibernation in Mexico and some parts of Southern California where it is warm all year long. If the monarchlives in the Eastern states, usually east of the Rocky Mountains, it will migrate to Mexico and hibernate in oyamel fir trees.

Seven times the sum of a number and 2 is equal to 9

Answers

Let x = a number

7(x + 2) = 9

Then we solve for x. First, distribute:

7x + 14 = 9

Subtract 14 from both sides:

7x = -5

Divide by 7 on both sides:

$x= (-5)/(7)$

The number is then -5/7.

A window is 21 inches wide, and its perimeter is 112 inches. What is the length of the window?

Answers

Answer:

The length of the window is 35 inches.

Step-by-step explanation:

Perimeter of an object can be found using the general formula: P = 2W + 2L, where P = perimeter, W = width and L= length. Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L': 112 = 2(21) + 2L, or 112 = 42 + 2L. We can then use inverse (opposite) operations to isolate the variable and solve. Whatever we do to one side of the equation, we do to the other. We will start by subtracting 42 from each side: 112 - 42 = 42 - 42 + 2L or 70 = 2L. Next, we divide both sides by 2 to solve for L: 70/2 = 2L/2 or L = 35. So, the final length of the window is 35 inches.

if you have a rectangular banner and the length is 44 inches and has a perimeter of 156 inches and an area of 1496 square inches. if i make a similar figure as the original banner with the length of 11 inches what is my perimeter and area?

Answers

Well there's two ways to approach this:
1.) Finding the width and going from there
2.) Finding the scale factor

I would recommend using the scale factor technique. You see how the length is reduced by a factor of 4? Well since the perimeter's formula involves adding length times width, you can just multiply the perimeter by 1/4 since the length went from 44 to 11(Just a rule, take it by heart). That means that the perimeter is $(156)/(4) = 39$ .

The area is multiplied, not added, so you have to square the scale factor. This means multiply the area by 1/16 (Another rule, take it by heart). This means that the area is [tex]\frac{1496}{16} = between 94 and 95

The length of a rectangle is 4 units shorter than one-fourth of the width, x. Write an expression that represents the perimeter of the rectangle (use one variable and a fraction)

Answers

Perimeter is the sum all lengths of a shape. For a rectangle, the perimeter is calculated by adding the 2 lengths and 2 widths. It is expressed as:

P = 2l + 2w

From the data of the length and width above, we form an expression:

P = 2l + 2w
P = 2(w/4 - 4) + 2w
P = 2w/4 - 8 + 2w
P = 5w/2 - 8

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