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Black_prince [1.1K]
2 years ago
10

Which is the graph of the linear inequality 2x-3y < 12?

Mathematics
1 answer:
defon2 years ago
3 0

Answer:

First, transform the given equation into the slope-intercept form, y = mx + b.

2x - 3y < 12

3y > 2x - 12

y > \frac{2}{3}x - 4

Since the equation is y > \frac{2}{3}x - 4, first draw the graph of y = \frac{2}{3}x - 4 with a dotted line (because it is >, not ≥) and shade the area above the dotted line.

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Emily created the net worth statement shown . Based on the information in the table , what is Emily’s net worth?
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To calculate Net Worth, Subtract Total Liabilities from Total Assets:

$107550
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3 years ago
I WILL MARK AS BRAINLIEST! Write an equation that represents each of the lines.
Ronch [10]

Step-by-step explanation:

a. y = ¾x +6

b. y = 6/4 x -2

c. y = -2/4 x +3

d. y = -1/7 x -4

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5 x 1= 5<br> 5x10=50<br> 5x100=500<br> 5x1000= 5000<br><br> What pattern do you notice ?
storchak [24]
Adds a zero each time?
7 0
3 years ago
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(50 Points Please help)
Elina [12.6K]

Answer:

A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters

B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters

C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers

D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers

Step-by-step explanation:

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10 meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.  

The most appropriate unit to measure the width of an apple should be centimeter. It certainly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4 centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is nonseasonal (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even millimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ millimeters.

In the internet you can find that diameter of the human hair is in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement for the thickness of a human hair.

5 0
3 years ago
Read 2 more answers
What is the volume of a cylinder, in cubic centimeters, with a height of 2 centimeters
harina [27]

Answer:

<h2>         V ≈ 628.3 cm³</h2>

Step-by-step explanation:

Volume of cylinder:  V = π×r² × h

diameter = 20 cm  ⇒  r = 10 cm

h = 2 cm

Volume:

V = π×(10)²×2 = 200π cm³ = 628.318.... cm³ ≈ 628.3 cm³

7 0
3 years ago
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