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ICE Princess25 [194]
3 years ago
10

Write the next whole number after 6748nine in the base-nine system.

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

Step-by-step explanation:

6748_9 = 6 *(9^3) + 7 * 9^2 + 4 * 9^1 + 8 * 9 ^ 0 = 4994_{10}

Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have

6* 9^3 + 7*9^2 + 5*9*1 = 4374 + 576+45 = 4995_{10}

Therefore, the number on base 9 will be 6750

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Leya [2.2K]

Answer:

B) 2.25

Step-by-step explanation:

Given:

x = -2

y = 4

z = -5

Work:

\frac{x^2-z}{y} \\\\\frac{(-2)^2-(-5)}{4}\\\\\frac{4+5}{4} \\\\\frac{9}{4} \\\\2.25

7 0
3 years ago
-10(x + 21) = -15x + 18<br> What value of x makes the equation true?
schepotkina [342]
Answer:

x = 45.6

Explanation:

-10(x + 21) = -15x + 18

-10x - 210 = -15x + 18

-210 = -5x + 18

-228 = -5x

x = 45.6

(I’m not sure if this is what you’re looking for, but I hope it helped a bit)
7 0
3 years ago
Two houses on the same side of the street have house numbers that are consecutive
DochEvi [55]

Answer:

28 and 30

Step-by-step explanation:

'x' = 1st consecutive #

'x+2' = 2nd consecutive #

x + x+2 = 58

2x + 2 = 58

2x = 56

x = 28

x+2 = 30

3 0
3 years ago
Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The line has a
Ad libitum [116K]

Answer:

The slope is 2/3 and the function is y=2/3x  which is a direct variation function.

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

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

where (x1,y1) and (x2,y2) are the two points

m= (4-2)/(6-3)

  = 2/3

The slope of the line is 2/3

The equation of the line is

y-y1 = m(x-x1)

y-2 = 2/3(x-3)

Distribute

y-2 = 2/3x -2

Add 2 to each side

y-2+2 = 2/3x -2+2

y = 2/3x

This is a direct variation function

Let x = -6

y = 2/3(-6)

y = -4

(-6,-4)

3 0
3 years ago
You roll a die. Find the probability of rolling a three or a four.
Tema [17]

Answer:

The probability is 1/3

Step-by-step explanation:

There are 6 faces on a die and you are given two faces to possibly land on. 2/6 can be reduced to 1/3

8 0
4 years ago
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