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Kipish [7]
3 years ago
11

Find how many numbers greater than 400,000 can be made using all the digits of 416566​

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

20

Step-by-step explanation:

You have to fill in 6 slots _ _ _ _ _ _.

Since first digit must be 4, there is only 1 way to fill in the 1st slot.

with the 5 slots, we fill in the 6s first, 3 of them.

So we have 5 options and 3 items to fill, (5 choose 3).

Then 2 ways to fill 1 and 1 way to fill 5. (It doesn't matter if you pick 5 or 1 first).

So it becomes (5C3) * (2C1) *(1C1)

= 1 * 5!/(3!)(5-3)! * (2) * 1

= 20

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The Bengals begin with a possession on their own 27-yard line. Four plays result in the following: gain of 6, loss of 12, a gain
WARRIOR [948]

Answer:

The final position of the ball is on the 16 yard line.

Step-by-step explanation:

The final position of the ball after the fourth play is given by the initial position, in this case the 27-yard line, followed by a succession of sums and subtractions depending on the outcome of each play. For gains we sum and for losses we subtract. So we have:

final position = 27 + 6 - 12 + 2 -7

final position = 27 - 11

final position = 16

The final position of the ball is on the 16 yard line.

7 0
3 years ago
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in​ slope-inter
Ray Of Light [21]

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

5 0
3 years ago
How do I figure this out?
Ilia_Sergeevich [38]

∠UXW = 36°

∠WZX = 66°

∠UWY = 48°

∠XYZ = 42°


Use the Alternate Exterior Angles Theorem. Always remember that a triangles angles add up 180°, so you can subtract the angles you already know in a triangle to figure out the remaining angle.

8 0
3 years ago
Write a unit rate for: 12 pounds for $17.88.
Vika [28.1K]

Answer:

.67

Step-by-step explanation:

12/17.88=.67

8 0
3 years ago
Graph - 9x + 6y = 18 using linear standard form
postnew [5]

Answer:

The graph is attached Below and the plotting is given below.

Step-by-step explanation:

Given:

-9x + 6y = 18

Solution:

To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.

For point A

Put x = -4 in the given equation we get

-9×-4 + 6y = 18

6y = 18-36

∴ y=\frac{-18}{3}\\ \\y=-3

∴ Point A ≡ ( -4, -3 ).

For point B

Put x = -2 in the given equation we get

-9×-2 + 6y = 18

6y = 18 - 18

6y = 0

∴ y=\frac{0}{3}\\ \\y=0

∴ Point B ≡ ( -2, 0 ).

For point C

Put x = 0 in the given equation we get

-9×0 + 6y = 18

6y = 18

∴ y=\frac{18}{3}\\ \\y=3

∴ Point C ≡ ( 0, 3 ).

Now we have Point A ,B and C join it and you will have Line.

3 0
3 years ago
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