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worty [1.4K]
2 years ago
9

In a different plan for area​ codes, the first digit could be any number from 2 through 5​, the second digit was either 2, 3, 4,

or 5​, and the third digit could be any number except 4, 5, or 8. With this​ plan, how many different area codes are​ possible?
Mathematics
1 answer:
GrogVix [38]2 years ago
3 0

Answer:

Step-by-step explanation:

First digit 2,3,4,5 = 4 different digits.

Second digit 2,3,4,5 = 4 different digits.

Third digit = 1,2,3,6,7,9 = 6 different digits.

Total number of possibilities = 4*4*6 = 96

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C is the point (-301, 601)<br> Does C lie on the straight line passing through A and B?
Marat540 [252]

Answer:

There is no picture or graph to go with the question so I am afraid I will not be able to give you a specific answer.

To find out if a point (x, y) is on the graph of a line, we plug in the values into that equation and see if we get a true statement, such as 10 = 10. If we get something different, like 6 = 4, we know that the point is not on the line because it does not satisfy the equation. Plug in (-301, 601) into the equation of the line to see whether that point lies on it or not.

Step-by-step explanation:

Suppose the equation of the straight line that passes through E and F is this:

y = 7x + 2

We are to figure out whether or not the point (1, 10) lies on that line. In order to do this we would plug in (1, 10) into the equation, with 1 being x and 10 being y.

10 = 7(1) + 2 = 7 + 2 = 9

10 = 9 is a false statement. Therefore, the point (1, 10) does NOT lie on the line y = 7x + 2.

If you were to provide an image or graph that shows the equation of line AB then perhaps I would be able to answer your question with a specific answer.

8 0
2 years ago
The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
mihalych1998 [28]

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

5 0
3 years ago
PLEASE HELPPPPPPPPPPPPPPPPPPPP
9966 [12]

Answer:

35 cm ^2

Step-by-step explanation:

5x5 = 25

5-3 = 2

5x2 = 10

25+10 = 35cm^2

8 0
2 years ago
Read 2 more answers
Someone help me please
Zinaida [17]

Step 1. Isolate the variable x:

3x-11 > 7x+9

-4x > 20

x > -5

Step 2. Use the simplified inequality to graph:

  1. Select an OPEN point on x = -5
  2. Select a ray extending from -5 to positive infinity (GREATER than -5)

I hope this helps!

5 0
2 years ago
Rewrite the linear equation 4x+3y=6 to in slope-intercept form
Soloha48 [4]

Answer:

3 = -4/3x + 2

Step-by-step explanation:

Slope intercept form: y = mx + b

Standard form: Ax + By = C

y = mx + b

4x + 3y = 6

3y = -4x + 6

3y/3 = -4x/3 + 6/3

3 = -4/3x + 2

4 0
2 years ago
Read 2 more answers
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