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Molodets [167]
3 years ago
13

Round off 731 and 164 to the nearest tens.find The difference of the rounded off numbers.round off the difference to the nearest

hundred​
Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

731 and 164 rounded off to the nearest tens is 730 and 160.

the difference is 570

570. rounded off to the nearest hundred is 600

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Consider all four-digit numbers that can be made from the digits 0-8 (assume that numbers cannot start with 0). What is the prob
vodomira [7]

Answer:

0.2498

Step-by-step explanation:

Number of 4 digit numbers that can be formed from the digit (0 - 8), assume number can't start from 0

Thus ;

First digit = (1, 2, 3, 4, 5, 6, 7, 8) = 8 ways

Next three digits = (0, 1, 2, 3, 4, 5, 6, 7, 8) = 9 ways

Hence,

Total possible outcomes = sample space = (8 * 9 * 9 * 9) = (8 * 9^3 ) = 8 * 729 = 5832

Required = number greater Than 7000

For number to be greater Than 7000, starting digit should be either 7 or 8

Hence,

First digit = 2 ways

Next three digits = 9 ways

Also excluding 7000

Hence, Number of digits above 7000;

2 * 9^3 = 2 * 729 = 1458 - 1 = 1457

Hence,

Probability = 1457 / 5832

= 0.2498285

= 0.2498

7 0
3 years ago
What is the location of the point on the number line that is 2/5 of the way from A = -6 to B = 9
sammy [17]
The distance between is =|9|+|-6|=15.
We can find that
\frac{2}{5}  \times 15 = 6
So 2/5 of the AB segment is 6 distance points away from A at point C=0.

5 0
4 years ago
What is the slope of a line that is parallel to the line represented by the equation 3x+4y=12?
mash [69]

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

(there is probably another way to do this, but I will be doing it this way)


Isolate the "y" in the equation

3x + 4y = 12       Subtract 3x on both sides

4y = 12 - 3x        Divide 4 on both sides

y=3-\frac{3}{4}x  or   y=-\frac{3}{4} x+3   The slope is -3/4


For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also -\frac{3}{4}

8 0
3 years ago
Triangle LMN is similar to triangle PQR, and the hypotenuses of the triangles both lie on line X.
Mice21 [21]
Answer: choice C) -2/3

The line X is completely straight meaning that the slope of line X is the same no matter which two points you pick. Since we're given that line X has a slope of -2/3 through the points (-7,6) and (-4,4), this also applies to the portion from (-1,2) to (5,-2)
6 0
4 years ago
Read 2 more answers
You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig
Vsevolod [243]

The straight line distance from the starting point is 41 miles.

<u>Explanation:</u>

Given:

Distance covered towards north, n = 9 miles

Distance covered towards east, e = 40 miles

Distance from the origin to the end, x = ?

If we imagine this, then the route forms a right angle triangle

where,

n is the height

e is the base

x is the hypotenuse

Using pythagoras theorm:

(x)² = (n)² + (e)²

(x)² = (9)² + (40)²

(x)² = 1681

x = 41 miles

Therefore, the straight line distance from the starting point is 41 miles.

5 0
3 years ago
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