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3 years ago

Solve the compound inequality and graph the solutions. −3 < 3x ≤ 12

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

Since the coefficient of x is 3, you’d need to divide each number by three. So, you’d get -1

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Answer:

3 meters

Step-by-step explanation:

We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.

We know it's a rectangle and not a square because it is longer than wide.

We have the perimeter measurement (16 meters).

So, we can make the following equation:

2x + 2y = 16

x being the width of the room, y being it's length. A perimeter is the sum of all sides.

We also know the room is 2 meters longer than wide... so:

y = x + 2

If we replace y in the first equation by its value relative to x, we get:

2x + 2(x + 2) = 16 which becomes

2x + 2x + 4 = 16

4x =12

thus x = 3

Width: 3 meters

Length: 5 meters.

Confirms the 16 meters perimeter.

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3 years ago

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3 years ago

Find the missing angle.

alex41 [277]

Answer:

x = 63°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

x + 94° + 23° = 180°

Step 2: Solve for x

Combine like terms: x + 117° = 180°
Subtract 117° on both sides: x = 63°

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2 years ago

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John is planning a 250 mile long road trip. His car gets 32 miles per gallon on the highway. Gas costs $3.50 a gallon. How much

lapo4ka [179]

Answer:

$27.34

Step-by-step explanation:

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2 years ago

Each shape is 1 whole. What fraction is represented by the shaded part of the model?

lubasha [3.4K]

Answer:

$\frac{2}{1}$

Step-by-step explanation:

Each shape is 1 whole.

In the given image, there are 4 parts in each shape.

The shaded part in the first shape is 4.

The fraction of the shaded part in the first shape

$=\frac{Number of shaded part}{Total part of the fraction}=\frac{4}{4}$

The shaded part in the second shape is 4.

The fraction of the shaded part in the second shape

$=\frac{Number of shaded part}{Total part of the fraction}=\frac{4}{4}$

The shaded part of the model $=\frac{4}{4}+\frac{4}{4}$

$=\frac{1}{1}+\frac{1}{1}$

$= \frac{2}{1}$

Hence, the fraction represented by the shaded part of the model is $\frac{2}{1}$ .

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3 years ago